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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility 
13 Classes·|·Namespaces·|·Enumerations·|·Functions 
14 tensor.hh·File·Reference 
15 #include·<ostream>12 ····*·hierarchical
 13 ····*·hierarchicalprismp2
 14 Classes·|·Namespaces
 15 hierarchicalprismp2localinterpolation.hh·File·Reference
16 #include·<vector>16 #include·<vector>
 17 #include·<dune/localfunctions/common/localinterpolation.hh>
17 #include·<dune/common/fvector.hh> 
18 #include·<dune/localfunctions/utility/field.hh> 
19 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
20 ·Classes19 ·Classes
 20 class· Dune::HierarchicalPrismP2LocalInterpolation<_LB_>
21 ·class· Dune::LFETensor<_F,_dimD,_deriv_> 
22   
23 struct· Dune::LFETensor<_F,_0,_deriv_> 
24   
25 struct· Dune::LFETensor<_F,_0,_0_> 
26   
27 ·class· Dune::LFETensor<_F,_dimD,_0_> 
28   
29 struct· Dune::Derivatives<_F,_dimD,_dimR,_deriv,_DerivativeLayoutNS::value_> 
30   
31 struct· Dune::Derivatives<_F,_dimD,_dimR,_0,_DerivativeLayoutNS::value_> 
32   
33 struct· Dune::Derivatives<_F,_dimD,_dimR,_deriv,_DerivativeLayoutNS:: 
34 ·········derivative_> 
35   
36 struct· Dune::LFETensorAxpy<_Vec1,_Vec2,_deriv_> 
37   
38 struct· Dune::LFETensorAxpy<_Derivatives<_F1,_dimD,_dimR,_d, 
39 ·········DerivativeLayoutNS::value_>,_Vec2,_deriv_> 
40   
41 struct· Dune::LFETensorAxpy<_Derivatives<_F1,_dimD,_dimR,_d, 
42 ·········DerivativeLayoutNS::derivative_>,_Vec2,_deriv_> 
43   
44 struct· Dune::LFETensorAxpy<_Derivatives<_F1,_dimD,_1,_d,_DerivativeLayoutNS:: 
45 ·········derivative_>,_Vec2,_deriv_> 
46   
47 struct· Dune::LFETensorAxpy<_Derivatives<_F1,_dimD,_1,_d,_DerivativeLayoutNS:: 
48 ·········value_>,_Vec2,_deriv_> 
49   
50 struct· Dune::DerivativeAssign<_Vec1,_Vec2_> 
51   
52 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_dimR,_deriv,_layout_>, 
53 ·········Derivatives<_F2,_dimD,_dimR,_deriv,_layout_>_> 
54   
55 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_dimR,_deriv, 
56 ·········DerivativeLayoutNS::value_>,_Derivatives<_F2,_dimD,_dimR,_deriv, 
57 ·········DerivativeLayoutNS::derivative_>_> 
58   
59 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_dimR,_deriv, 
60 ·········DerivativeLayoutNS::derivative_>,_Derivatives<_F2,_dimD,_dimR,_deriv, 
61 ·········DerivativeLayoutNS::value_>_> 
62   
63 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,_layout_>, 
64 ·········Derivatives<_F2,_dimD,_dimR,_deriv,_DerivativeLayoutNS::value_>_> 
65   
66 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,_layout_>, 
67 ·········Derivatives<_F2,_dimD,_dimR,_deriv,_DerivativeLayoutNS::derivative_>_> 
68   
69 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv, 
70 ·········DerivativeLayoutNS::value_>,_Derivatives<_F2,_dimD,_1,_deriv, 
71 ·········DerivativeLayoutNS::value_>_> 
72   
73 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv, 
74 ·········DerivativeLayoutNS::derivative_>,_Derivatives<_F2,_dimD,_1,_deriv, 
75 ·········DerivativeLayoutNS::derivative_>_> 
76   
77 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv, 
78 ·········DerivativeLayoutNS::derivative_>,_Derivatives<_F2,_dimD,_1,_deriv, 
79 ·········DerivativeLayoutNS::value_>_> 
80   
81 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv, 
82 ·········DerivativeLayoutNS::value_>,_Derivatives<_F2,_dimD,_1,_deriv, 
83 ·········DerivativeLayoutNS::derivative_>_> 
84   
85 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,_layout_>,_F2 
86 ·········> 
87   
88 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_dimR,_deriv, 
89 ·········DerivativeLayoutNS::value_>,_FieldVector<_F2,_dimR_>_> 
90   
91 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_dimR,_deriv, 
92 ·········DerivativeLayoutNS::derivative_>,_FieldVector<_F2,_dimR_>_> 
93   
94 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv, 
95 ·········DerivativeLayoutNS::value_>,_FieldVector<_F2,_dimR_>_> 
96   
97 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv, 
98 ·········DerivativeLayoutNS::derivative_>,_FieldVector<_F2,_dimR_>_> 
99   
100 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv, 
101 ·········DerivativeLayoutNS::value_>,_FieldVector<_F2,_1_>_> 
102   
103 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv, 
104 ·········DerivativeLayoutNS::derivative_>,_FieldVector<_F2,_1_>_> 
105  21  
106 ·Namespaces22 ·Namespaces
107 namespace· Dune23 namespace· Dune
108  24  
109 namespace· Dune::DerivativeLayoutNS 
110   
111 ·Enumerations 
112 enum· Dune::DerivativeLayoutNS::DerivativeLayout·{·Dune::DerivativeLayoutNS:: 
113 ·······value·,·Dune::DerivativeLayoutNS::derivative·} 
114   
115 ·Functions 
116 template<class·F·,·int·dimD,·unsigned·int·deriv> 
117 std::ostream·& Dune::operator<<·(std::ostream·&out,·const·LFETensor<·F,·dimD, 
118 ················deriv·>·&tensor) 
119   
120 template<class·F·,·int·dimD,·int·dimR,·unsigned·int·deriv> 
121 std::ostream·& Dune::operator<<·(std::ostream·&out,·const·Derivatives<·F, 
122 ················dimD,·dimR,·deriv,·DerivativeLayoutNS::derivative·>·&d) 
123   
124 template<class·F·,·int·dimD,·int·dimR,·unsigned·int·deriv> 
125 std::ostream·& Dune::operator<<·(std::ostream·&out,·const·Derivatives<·F, 
126 ················dimD,·dimR,·deriv,·DerivativeLayoutNS::value·>·&d) 
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility 
13 tensor.hh12 ····*·hierarchical
 13 ····*·hierarchicalprismp2
 14 hierarchicalprismp2localinterpolation.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 21 ·5#ifndef·DUNE_HIERARCHICAL_PRISM_P2_LOCALINTERPOLATION_HH
 22 ·6#define·DUNE_HIERARCHICAL_PRISM_P2_LOCALINTERPOLATION_HH
 23 ·7
20 ·5 
21 ·6#ifndef·DUNE_TENSOR_HH 
22 ·7#define·DUNE_TENSOR_HH 
23 ·8 
24 ·9#include·<ostream> 
25 ·10#include·<vector>24 ·8#include·<vector>
 25 ·9#include·<dune/localfunctions/common/localinterpolation.hh>
 26 ·10
26 ·11 
27 ·12#include·<dune/common/fvector.hh> 
28 ·13 
29 ·14#include·<dune/localfunctions/utility/field.hh> 
30 ·15 
31 ·16namespace·Dune27 ·11namespace·Dune
32 ·17{28 ·12{
33 ·18·/*********************************************** 
34 ·19·*·The·classes·here·are·work·in·progress. 
35 ·20·*·Basically·they·provide·tensor·structures·for 
36 ·21·*·higher·order·derivatives·of·vector·valued·function. 
37 ·22·*·Two·storage·structures·are·provided 
38 ·23·*·(either·based·on·the·components·of·the·vector·valued 
39 ·24·*·functions·or·on·the·order·of·the·derivative). 
40 ·25·*·Conversions·are·supplied·between·the·two·storage 
41 ·26·*·structures·and·simple·operations,·which·make·the 
42 ·27·*·code·difficult·to·use·and·requires·rewritting... 
43 ·28·***************************************************/29 ·16·template<class·LB>
 30 17·class·HierarchicalPrismP2LocalInterpolation
 31 ·18·{
 32 ·19·public:
 33 ·20
 34 ·21·template<typename·F,·typename·C>
 35 22·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
 36 ·23·{
 37 ·24·typename·LB::Traits::DomainType·x;
 38 ·25·typename·LB::Traits::RangeType·y;
 39 ·26·out.resize(18);
 40 ·27
 41 ·28·auto&&·f·=·Impl::makeFunctionWithCallOperator<decltype(x)>(ff);
44 ·2942 ·29
45 ·30·//·Structure·for·scalar·tensor·of·order·deriv 
46 ·31·template·<class·F,int·dimD,unsigned·int·deriv> 
47 32·class·LFETensor 
48 ·33·{ 
49 ·34·typedef·LFETensor<F,dimD,deriv>·This; 
50 ·35·typedef·LFETensor<F,dimD-1,deriv>·BaseDim; 
51 ·36·typedef·LFETensor<F,dimD,deriv-1>·BaseDeriv;43 ·30·//First·the·vertex·dofs
 44 ·31·x[0]·=·0.0;·x[1]·=·0.0;·x[2]·=·0.0;·out[0]·=·f(x);
 45 ·32·x[0]·=·1.0;·x[1]·=·0.0;·x[2]·=·0.0;·out[1]·=·f(x);
 46 ·33·x[0]·=·0.0;·x[1]·=·1.0;·x[2]·=·0.0;·out[2]·=·f(x);
 47 ·34·x[0]·=·0.0;·x[1]·=·0.0;·x[2]·=·1.0;·out[3]·=·f(x);
 48 ·35·x[0]·=·1.0;·x[1]·=·0.0;·x[2]·=·1.0;·out[4]·=·f(x);
 49 ·36·x[0]·=·0.0;·x[1]·=·1.0;·x[2]·=·1.0;·out[5]·=·f(x);
52 ·3750 ·37
53 ·38·public: 
54 39·typedef·F·field_type; 
55 40·static·const·unsigned·int·size·=·BaseDim::size+BaseDeriv::size; 
56 41·typedef·Dune::FieldVector<F,size>·Block;51 ·38
 52 ·39·//·Then:·the·9·edge·dofs·and·the·3·face·dofs
 53 ·40·x[0]·=·0.0;·x[1]·=·0.0;·x[2]·=·0.5;·y·=·f(x);
 54 ·41·out[6]·=·y·-·0.5*(out[0]·+·out[3]);
57 ·4255 ·42
58 ·43·template<·class·FF·> 
59 44·This·&operator=(·const·FF·&f·)56 ·43·x[0]·=·1.0;·x[1]·=·0.0;·x[2]·=·0.5;·y·=·f(x);
 57 ·44·out[7]·=·y·-·0.5*(out[1]·+·out[4]);
60 ·45·{58 ·45
61 ·46·block()·=·field_cast<·F·>(·f·); 
62 ·47·return·*this;59 ·46·x[0]·=·0.0;·x[1]·=·1.0;·x[2]·=·0.5;·y·=·f(x);
 60 ·47·out[8]·=·y·-·0.5*(out[2]·+·out[5]);
63 ·48·}61 ·48
64 ·49 
65 50·This·&operator=(·const·Block·&b·)62 ·49·x[0]·=·0.5;·x[1]·=·0.0;·x[2]·=·0.0;·y·=·f(x);
 63 ·50·out[9]·=·y·-·0.5*(out[0]·+·out[1]);
66 ·51·{64 ·51
67 ·52·block()·=·b; 
68 ·53·return·*this;65 ·52·x[0]·=·0.0;·x[1]·=·0.5;·x[2]·=·0.0;·y·=·f(x);
 66 ·53·out[10]·=·y·-·0.5*(out[2]·+·out[0]);
69 ·54·}67 ·54
70 ·55 
71 56·This·&operator*=(·const·field_type·&f·)68 ·55·x[0]·=·0.5;·x[1]·=·0.5;·x[2]·=·0.0;·y·=·f(x);
 69 ·56·out[11]·=·y·-·0.5*(out[2]·+·out[1]);
72 ·57·{70 ·57
73 ·58·block()·*=·f; 
74 ·59·return·*this;71 ·58·x[0]·=·0.5;·x[1]·=·0.0;·x[2]·=·1.0;·y·=·f(x);
 72 ·59·out[12]·=·y·-·0.5*(out[3]·+·out[4]);
75 ·60·}73 ·60
76 ·61 
77 62·const·field_type·&operator[](·const·unsigned·int·i·)·const74 ·61·x[0]·=·0.0;·x[1]·=·0.5;·x[2]·=·1.0;·y·=·f(x);
 75 ·62·out[13]·=·y·-·0.5*(out[3]·+·out[5]);
78 ·63·{76 ·63
79 ·64·return·block()[·i·]; 
80 ·65·}77 ·64·x[0]·=·0.5;·x[1]·=·0.5;·x[2]·=·1.0;·y·=·f(x);
 78 ·65·out[14]·=·y·-·0.5*(out[4]·+·out[5]);
81 ·6679 ·66
82 67·field_type·&operator[](·const·unsigned·int·i·) 
83 ·68·{ 
84 ·69·return·block()[·i·]; 
85 ·70·}80 ·67
 81 ·68·//faces
 82 ·69·x[0]·=·0.5;·x[1]·=·0.0;·x[2]·=·0.5;·y·=·f(x);
 83 ·70·out[15]·=·y·-·0.25*(out[4]·+·out[1]·+·out[0]·+·out[3]·);
Diff chunk too large, falling back to line-by-line diff (11 lines added, 924 lines removed)
86 ·7184 ·71
87 72·Block·&block()85 ·72·x[0]·=·0.0;·x[1]·=·0.5;·x[2]·=·0.5;·y·=·f(x);
88 ·73·{86 ·73·out[16]·=·y·-·0.25*(out[2]·+·out[0]·+·out[3]·+·out[5]·);
89 ·74·return·block_;87 ·74
90 ·75·}88 ·75·x[0]·=·0.5;·x[1]·=·0.5;·x[2]·=·0.5;·y·=·f(x);
91 76·const·Block·&block()·const89 ·76·out[17]·=·y·-·0.25*(out[2]·+·out[1]·+·out[4]·+·out[5]·);
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility12 ····*·hierarchical
 13 ····*·hierarchicalprismp2
13 Classes·|·Namespaces·|·Functions14 Classes·|·Namespaces
14 lfematrix.hh·File·Reference 
15 #include·<cassert> 
16 #include·<vector> 
17 #include·"field.hh"15 hierarchicalprismp2localbasis.hh·File·Reference
 16 Hierarchical·prism·p2·shape·functions·for·the·simplex.·More...
 17 #include·<numeric>
 18 #include·<dune/common/fvector.hh>
 19 #include·<dune/common/fmatrix.hh>
 20 #include·<dune/localfunctions/common/localbasis.hh>
18 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
19 ·Classes22 ·Classes
20 class· Dune::LFEMatrix<_F_>23 class· Dune::HierarchicalPrismP2LocalBasis<_D,_R_>
21  24  
22 ·Namespaces25 ·Namespaces
23 namespace· Dune26 namespace· Dune
24  27  
 28 *****·Detailed·Description·*****
 29 Hierarchical·prism·p2·shape·functions·for·the·simplex.
25 ·Functions 
26 template<class·Field·> 
27 std::ostream·& Dune::operator<<·(std::ostream·&out,·const·LFEMatrix<·Field·> 
28 ················&mat) 
29   
  
30 ===============================================================================30 ===============================================================================
31 ·····Generated·by [doxygen]·1.9.831 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·lfematrix.hh·Source·File</title>8 <title>dune-localfunctions:·hierarchicalprismp2localbasis.hh·Source·File</title>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility 
13 lfematrix.hh12 ····*·hierarchical
 13 ····*·hierarchicalprismp2
 14 hierarchicalprismp2localbasis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_UTILITY_LFEMATRIX_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_UTILITY_LFEMATRIX_HH21 ·5#ifndef·DUNE_HIERARCHICAL_PRISM_P2_LOCALBASIS_HH
 22 ·6#define·DUNE_HIERARCHICAL_PRISM_P2_LOCALBASIS_HH
22 ·723 ·7
23 ·8#include·<cassert> 
24 ·9#include·<vector> 
25 ·10 
26 ·11#include·"field.hh" 
27 ·1224 ·12#include·<numeric>
 25 ·13
 26 ·14#include·<dune/common/fvector.hh>
 27 ·15#include·<dune/common/fmatrix.hh>
 28 ·16
 29 ·17#include·<dune/localfunctions/common/localbasis.hh>
 30 ·18
28 ·13namespace·Dune31 ·19namespace·Dune
 32 ·20{
29 ·14{ 
30 ·15 
31 ·16·template<·class·F·>33 ·21·template<class·D,·class·R>
 34 22·class·HierarchicalPrismP2LocalBasis
 35 ·23·{
32 17·class·LFEMatrix 
33 ·18·{ 
34 ·19·typedef·LFEMatrix<_F_>·This; 
35 ·20·typedef·std::vector<·F·>·Row; 
36 ·21·typedef·std::vector<Row>·RealMatrix; 
37 ·22 
38 ·23·public:36 ·24·public:
 37 26·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::
 38 FieldVector<R,1>,·Dune::FieldMatrix<R,1,3>·>·Traits;
39 24·typedef·F·Field; 
40 ·25 
41 26·operator·const·RealMatrix·&·()·const 
42 ·27·{39 ·27
 40 29·unsigned·int·size·()·const
43 ·28·return·matrix_; 
44 ·29·} 
45 ·30 
46 31·operator·RealMatrix·&·() 
47 ·32·{41 ·30·{
48 ·33·return·matrix_;42 ·31·return·18;
49 ·34·}43 ·32·}
50 ·35 
51 ·36·template·<class·Vector> 
52 37·void·row(·const·unsigned·int·row,·Vector·&vec·)·const44 ·33
 45 35·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 46 ·36·std::vector<typename·Traits::RangeType>·&·out)·const
53 ·38·{47 ·37·{
54 ·39·assert(row<rows()); 
55 ·40·for·(int·i=0;·i<cols();·++i) 
56 ·41·field_cast(matrix_[row][i],·vec[i]); 
57 ·42·} 
58 ·43 
59 44·const·Field·&operator()(·const·unsigned·int·row,·const·unsigned·int·col·) 
60 const 
61 ·45·{ 
62 ·46·assert(row<rows()); 
63 ·47·assert(col<cols()); 
64 ·48·return·matrix_[·row·][·col·]; 
65 ·49·} 
66 ·50 
67 51·Field·&operator()(·const·unsigned·int·row,·const·unsigned·int·col·) 
68 ·52·{ 
69 ·53·assert(row<rows()); 
70 ·54·assert(col<cols()); 
71 ·55·return·matrix_[·row·][·col·]; 
72 ·56·}48 ·38·out.resize(18);
 49 ·39
 50 ·40·out[0]=(1.0-in[0]-in[1])*(1.0-in[2]);
 51 ·41·out[1]=·in[0]*(1-in[2]);
 52 ·42·out[2]=in[1]*(1-in[2]);
 53 ·43·out[3]=in[2]*(1.0-in[0]-in[1]);
 54 ·44·out[4]=in[0]*in[2];
 55 ·45·out[5]=in[1]*in[2];
 56 ·46
 57 ·47·//edges
 58 ·48·out[6]=2*(1.0-in[0]-in[1])*(0.5-in[0]-in[1])*(4*in[2]-4*in[2]*in[2]);
 59 ·49·out[7]=2*in[0]*(-0.5+in[0])*(4*in[2]-4*in[2]*in[2]);
 60 ·50·out[8]=2*in[1]*(-0.5+in[1])*(4*in[2]-4*in[2]*in[2]);
 61 ·51·out[9]=4*in[0]*(1-in[0]-in[1])*(1-3*in[2]+2*in[2]*in[2]);
 62 ·52·out[10]=4*in[1]*(1-in[0]-in[1])*(1-3*in[2]+2*in[2]*in[2]);
 63 ·53·out[11]=4*in[0]*in[1]*(1-3*in[2]+2*in[2]*in[2]);
 64 ·54·out[12]=4*in[0]*(1-in[0]-in[1])*(-in[2]+2*in[2]*in[2]);
 65 ·55·out[13]=4*in[1]*(1-in[0]-in[1])*(-in[2]+2*in[2]*in[2]);
 66 ·56·out[14]=4*in[0]*in[1]*(-in[2]+2*in[2]*in[2]);
73 ·5767 ·57
74 58·unsigned·int·rows·()·const 
75 ·59·{ 
76 ·60·return·rows_;68 ·58·//faces
 69 ·59·out[15]=4*in[0]*(1-in[0]-in[1])*(4*in[2]-4*in[2]*in[2]);
 70 ·60·out[16]=4*in[1]*(1-in[0]-in[1])*(4*in[2]-4*in[2]*in[2]);
 71 ·61·out[17]=4*in[0]*in[1]*(4*in[2]-4*in[2]*in[2]);
77 ·61·}72 ·62·}
 73 ·63
78 ·62 
79 63·unsigned·int·cols·()·const 
80 ·64·{74 ·64
 75 ·65
 76 67·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//position
 77 ·68·std::vector<typename·Traits::JacobianType>&·out)·const·//return·value
81 ·65·return·cols_; 
82 ·66·} 
83 ·67 
84 68·const·Field·*rowPtr·(·const·unsigned·int·row·)·const 
85 ·69·{78 ·69·{
86 ·70·assert(row<rows()); 
87 ·71·return·&(matrix_[row][0]); 
88 ·72·} 
89 ·73 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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13 Classes·|·Namespaces13 Classes·|·Namespaces
 14 hierarchicalp2withelementbubble.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
14 interpolationhelper.hh·File·Reference 
15 #include·<vector> 
16 #include·<dune/common/fvector.hh> 
17 #include·<dune/common/concept.hh> 
18 #include·<dune/localfunctions/utility/field.hh> 
19 #include·<dune/localfunctions/common/localinterpolation.hh>16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 17 #include·<dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/
 18 hierarchicalsimplexp2withelementbubble.hh>
20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
21 ·Classes20 ·Classes
 21 class· Dune::HierarchicalP2WithElementBubbleLocalFiniteElement<_D,_R,_dim_>
22 struct· Dune::InterpolationHelper<_F,_dimension_> 
23   
24 struct· Dune::InterpolationHelper<_F,_dimension_>::Helper<_Func,_Vector,_true 
25 ·········> 
26   
27 struct· Dune::InterpolationHelper<_F,_dimension_>::Helper<_Basis,_Matrix, 
28 ·········false_> 
29  22  
30 ·Namespaces23 ·Namespaces
31 namespace· Dune24 namespace· Dune
32  25  
  
33 ===============================================================================26 ===============================================================================
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility 
13 interpolationhelper.hh12 ····*·hierarchical
 13 hierarchicalp2withelementbubble.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·GENERIC_INTERPOLATIONHELPER_HH 
21 ·6#define·GENERIC_INTERPOLATIONHELPER_HH20 ·5#ifndef·DUNE_HIERARCHICAL_P2_WITH_ELEMENTBUBBLE_LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_HIERARCHICAL_P2_WITH_ELEMENTBUBBLE_LOCALFINITEELEMENT_HH
22 ·722 ·7
23 ·8#include·<vector>23 ·8#include·<dune/geometry/type.hh>
24 ·924 ·9
25 ·10#include·<dune/common/fvector.hh> 
26 ·11#include·<dune/common/concept.hh> 
27 ·12#include·<dune/localfunctions/utility/field.hh> 
28 ·13#include·<dune/localfunctions/common/localinterpolation.hh>25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
29 ·1426 ·11#include·<dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/
 27 hierarchicalsimplexp2withelementbubble.hh>
 28 ·12
 29 ·13
30 ·15namespace·Dune30 ·14namespace·Dune
 31 ·15{
31 ·16{32 ·16
 33 ·19·template<class·D,·class·R,·int·dim>
 34 20·class·HierarchicalP2WithElementBubbleLocalFiniteElement
32 ·17·//·A·small·helper·class·to·avoid·having·to 
33 ·18·//·write·the·interpolation·twice·(once·for·function 
34 ·19·//·and·once·for·a·basis) 
35 ·20·template<·class·F,·unsigned·int·dimension·> 
36 21·struct·InterpolationHelper 
37 ·22·{35 ·21·{
38 ·23·template·<class·Func,class·Container,·bool·type> 
39 24·struct·Helper; 
40 ·25·}; 
41 ·26·template·<class·F,unsigned·int·d> 
42 ·27·template·<class·Func,class·Vector> 
43 28·struct·InterpolationHelper<F,d>::Helper<Func,Vector,true> 
44 ·29·//·Func·is·of·Function·type 
45 ·30·{ 
46 31·typedef·std::vector<·Dune::FieldVector<F,d>·>·Result; 
47 32·Helper(const·Func·&·func,·Vector·&vec) 
48 ·33·:·func_(func), 
49 ·34·vec_(vec), 
50 ·35·tmp_(1)36 ·22
 37 ·23·static_assert(dim==2,·"HierarchicalP2WithElementBubbleLocalFiniteElement
 38 only·implemented·for·dim==2.");
 39 ·24
 40 ·25·public:
 41 ·28·typedef
 42 LocalFiniteElementTraits<HierarchicalSimplexP2WithElementBubbleLocalBasis<D,R,dim>,
 43 ·29·HierarchicalSimplexP2WithElementBubbleLocalCoefficients<dim>,
 44 30
 45 HierarchicalSimplexP2WithElementBubbleLocalInterpolation<HierarchicalSimplexP2WithElementBubbleLocalBasis<D,R,dim>
 46 >·>·Traits;
 47 ·31
 48 34·HierarchicalP2WithElementBubbleLocalFiniteElement·()
51 ·36·{}49 ·35·{}
 50 ·36
 51 39·const·typename·Traits::LocalBasisType&·localBasis·()·const
52 37·const·typename·Vector::value_type·&operator()(unsigned·int·row,unsigned·int 
53 col) 
54 ·38·{ 
55 ·39·return·vec_[row]; 
56 ·40·}52 ·40·{
 53 ·41·return·basis_;
57 ·41·template·<class·Fy> 
58 42·void·set(unsigned·int·row,unsigned·int·col, 
59 ·43·const·Fy·&val) 
60 ·44·{ 
61 ·45·assert(col==0); 
62 ·46·assert(row<vec_.size()); 
63 ·47·field_cast(·val,·vec_[row]·); 
64 ·48·}54 ·42·}
65 ·49·template·<class·Fy> 
66 50·void·add(unsigned·int·row,unsigned·int·col, 
67 ·51·const·Fy·&val)55 ·43
 56 46·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 57 ·47·{
 58 ·48·return·coefficients_;
 59 ·49·}
 60 ·50
 61 53·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
68 ·52·{62 ·54·{
 63 ·55·return·interpolation_;
69 ·53·assert(col==0); 
70 ·54·assert(row<vec_.size()); 
71 ·55·vec_[row]·+=·field_cast<typename·Vector::value_type>(val); 
72 ·56·}64 ·56·}
 65 ·57
 66 59·unsigned·int·size·()·const
73 ·57·template·<class·DomainVector, 
74 ·58·std::enable_if_t<models<Impl::FunctionWithCallOperator<DomainVector>,·Func> 
75 (),·int>·=·0> 
76 59·const·Result·&evaluate(const·DomainVector·&x)·const 
77 ·60·{67 ·60·{
 68 ·61·return·basis_.size();
78 ·61·field_cast(func_(x),·tmp_[0]·); 
79 ·62·return·tmp_; 
80 ·63·}69 ·62·}
 70 ·63
 71 66·static·constexpr·GeometryType·type·()
81 ·64·template·<class·DomainVector, 
82 ·65·std::enable_if_t<not·models<Impl::FunctionWithCallOperator<DomainVector>, 
83 Func>(),·int>·=·0> 
84 66·const·Result·&evaluate(const·DomainVector·&x)·const 
85 ·67·{72 ·67·{
 73 ·68·return·GeometryTypes::triangle;
86 ·68·typename·Func::DomainType·xx·; 
87 ·69·typename·Func::RangeType·ff·; 
88 ·70·field_cast(x,xx); 
89 ·71·func_.evaluate(xx,ff); 
90 ·72·field_cast(ff,·tmp_[0]·); 
91 ·73·return·tmp_; 
92 ·74·} 
93 75·unsigned·int·size()·const 
94 ·76·{ 
95 ·77·return·1; 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility12 ····*·hierarchical
 13 ····*·hierarchicalp2withelementbubble
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 polynomialbasis.hh·File·Reference 
15 #include·<fstream>15 hierarchicalsimplexp2withelementbubble.hh·File·Reference
 16 Hierarchical·p2·shape·functions·for·the·simplex.·More...
16 #include·<numeric>17 #include·<numeric>
 18 #include·<vector>
 19 #include·<dune/common/fvector.hh>
17 #include·<dune/common/fmatrix.hh>20 #include·<dune/common/fmatrix.hh>
18 #include·<dune/localfunctions/common/localbasis.hh>21 #include·<dune/localfunctions/common/localbasis.hh>
19 #include·<dune/localfunctions/utility/coeffmatrix.hh> 
20 #include·<dune/localfunctions/utility/monomialbasis.hh>22 #include·<dune/localfunctions/common/localkey.hh>
 23 #include·<dune/localfunctions/common/localinterpolation.hh>
21 #include·<dune/localfunctions/utility/multiindex.hh> 
22 #include·<dune/localfunctions/utility/basisevaluator.hh> 
23 Go_to_the_source_code_of_this_file.24 Go_to_the_source_code_of_this_file.
24 ·Classes25 ·Classes
25 ·class· Dune::PolynomialBasis<_Eval,_CM,_D,_R_>26 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis<_D,_R,_dim_>
26  27  
27 struct· Dune::PolynomialBasis<_Eval,_CM,_D,_R_>::Convert<_dummy,_DVector_>28 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis<_D,_R,_1_>
 29  ······Hierarchical·P2·basis·in·1d.·More...
28  30  
29 struct· Dune::PolynomialBasis<_Eval,_CM,_D,_R_>::Convert<_dummy,_DomainVector 
30 ·········>31 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis<_D,_R,_2_>
 32  ······Hierarchical·P2·basis·in·1d.·More...
31  33  
32 ·class· Dune::PolynomialBasisWithMatrix<_Eval,_CM,_D,_R_>34 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis<_D,_R,_3_>
 35  ······Hierarchical·P2·basis·in·1d.·More...
 36  
 37 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients<_dim_>
 38  ······The·local·finite·element·needed·for·the·Zou-Kornhuber·estimator·for
 39 ········Signorini·problems.·More...
 40  
 41 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalInterpolation<_LB_>
33  42  
34 ·Namespaces43 ·Namespaces
35 namespace· Dune44 namespace· Dune
36  45  
 46 *****·Detailed·Description·*****
 47 Hierarchical·p2·shape·functions·for·the·simplex.
  
37 ===============================================================================48 ===============================================================================
38 ·····Generated·by [doxygen]·1.9.849 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·polynomialbasis.hh·Source·File</title>8 <title>dune-localfunctions:·hierarchicalsimplexp2withelementbubble.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility 
13 polynomialbasis.hh12 ····*·hierarchical
 13 ····*·hierarchicalp2withelementbubble
 14 hierarchicalsimplexp2withelementbubble.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_POLYNOMIALBASIS_HH 
21 ·6#define·DUNE_POLYNOMIALBASIS_HH21 ·5#ifndef·DUNE_HIERARCHICAL_SIMPLEX_P2_WITH_ELEMENT_BUBBLE_LOCALBASIS_HH
 22 ·6#define·DUNE_HIERARCHICAL_SIMPLEX_P2_WITH_ELEMENT_BUBBLE_LOCALBASIS_HH
22 ·723 ·7
23 ·8#include·<fstream> 
24 ·9#include·<numeric>24 ·12#include·<numeric>
 25 ·13#include·<vector>
25 ·10 
26 ·11#include·<dune/common/fmatrix.hh> 
27 ·12 
28 ·13#include·<dune/localfunctions/common/localbasis.hh> 
29 ·1426 ·14
30 ·15#include·<dune/localfunctions/utility/coeffmatrix.hh>27 ·15#include·<dune/common/fvector.hh>
 28 ·16#include·<dune/common/fmatrix.hh>
 29 ·17
31 ·16#include·<dune/localfunctions/utility/monomialbasis.hh>30 ·18#include·<dune/localfunctions/common/localbasis.hh>
32 ·17#include·<dune/localfunctions/utility/multiindex.hh> 
33 ·18#include·<dune/localfunctions/utility/basisevaluator.hh> 
34 ·1931 ·19#include·<dune/localfunctions/common/localkey.hh>
 32 ·20#include·<dune/localfunctions/common/localinterpolation.hh>
 33 ·21
35 ·20namespace·Dune34 ·22namespace·Dune
36 ·21{35 ·23{
37 ·22 
38 ·23·//·PolynomialBasis 
39 ·24·//·--------------- 
40 ·25 
41 ·63·template<·class·Eval,·class·CM,·class·D=double,·class·R=double·> 
42 64·class·PolynomialBasis36 ·24·template<class·D,·class·R,·int·dim>
 37 25·class·HierarchicalSimplexP2WithElementBubbleLocalBasis
 38 ·26·{
 39 ·27·public:
 40 28·HierarchicalSimplexP2WithElementBubbleLocalBasis()
 41 ·29·{
 42 ·30·DUNE_THROW(Dune::NotImplemented,"HierarchicalSimplexP2LocalBasis·not
 43 implemented·for·dim·>·3.");
 44 ·31·}
 45 ·32·};
 46 ·33
 47 ·48·template<class·D,·class·R>
 48 49·class·HierarchicalSimplexP2WithElementBubbleLocalBasis<D,R,1>
 49 ·50·{
 50 ·51·public:
 51 ·53·typedef·LocalBasisTraits<D,1,Dune::FieldVector<D,1>,R,1,Dune::
 52 FieldVector<R,1>,
 53 54·Dune::FieldMatrix<R,1,1>·>·Traits;
 54 ·55
 55 57·unsigned·int·size·()·const
 56 ·58·{
 57 ·59·return·3;
 58 ·60·}
 59 ·61
 60 63·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 61 ·64·std::vector<typename·Traits::RangeType>&·out)·const
43 ·65·{62 ·65·{
44 ·66·typedef·PolynomialBasis<_Eval,_CM_>·This; 
45 ·67·typedef·Eval·Evaluator; 
46 ·68 
47 ·69·public: 
48 70·typedef·CM·CoefficientMatrix;63 ·66·out.resize(3);
 64 ·67
 65 ·68·out[0]·=·1-in[0];
 66 ·69·out[1]·=·in[0];
 67 ·70·out[2]·=·1-4*(in[0]-0.5)*(in[0]-0.5);
49 ·7168 ·71·}
 69 ·72
 70 ·74·inline·void
 71 75·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
 72 ·76·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
 73 ·77·{
 74 ·78·out.resize(3);
 75 ·79
 76 ·80·out[0][0][0]·=·-1;
 77 ·81·out[1][0][0]·=·1;
 78 ·82·out[2][0][0]·=·4-8*in[0];
 79 ·83·}
50 72·typedef·typename·CoefficientMatrix::Field·StorageField; 
51 ·73 
52 74·static·const·unsigned·int·dimension·=·Evaluator::dimension; 
53 75·static·const·unsigned·int·dimRange·=·Evaluator::dimRange*CoefficientMatrix:: 
54 blockSize; 
55 ·76·typedef·LocalBasisTraits<D,dimension,FieldVector<D,dimension>, 
56 ·77·R,dimRange,FieldVector<R,dimRange>, 
57 78·FieldMatrix<R,dimRange,dimension>·>·Traits; 
58 79·typedef·typename·Evaluator::Basis·Basis; 
59 80·typedef·typename·Evaluator::DomainVector·DomainVector; 
60 ·81·template·<class·Fy> 
61 82·using·HessianFyType·= 
62 FieldVector<FieldMatrix<Fy,dimension,dimension>,dimRange>; 
63 83·using·HessianType·=·HessianFyType<R>; 
64 ·8480 ·84
 81 86·void·partial·(const·std::array<unsigned·int,·1>&·order,
 82 ·87·const·typename·Traits::DomainType&·in,·//·position
 83 ·88·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value
65 85·PolynomialBasis·(const·Basis·&basis, 
66 ·86·const·CoefficientMatrix·&coeffMatrix, 
67 ·87·unsigned·int·size) 
68 ·88·:·basis_(basis), 
69 ·89·coeffMatrix_(&coeffMatrix), 
70 ·90·eval_(basis), 
71 ·91·order_(basis.order()), 
72 ·92·size_(size) 
73 ·93·{84 ·89·{
74 ·94·//·assert(coeffMatrix_); 
75 ·95·//·assert(size_·<=·coeffMatrix.size());·//·!!! 
76 ·96·} 
77 ·97 
78 98·const·Basis·&basis·()·const 
79 ·99·{ 
80 ·100·return·basis_; 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility12 ····*·hierarchical
13 Classes·|·Namespaces13 Classes·|·Namespaces
 14 hierarchicalprismp2.hh·File·Reference
14 monomialbasis.hh·File·Reference 
15 #include·<vector> 
16 #include·<dune/common/fvector.hh> 
17 #include·<dune/common/fmatrix.hh> 
18 #include·<dune/geometry/type.hh>15 #include·<dune/geometry/type.hh>
19 #include·<dune/geometry/topologyfactory.hh> 
20 #include·<dune/localfunctions/utility/field.hh> 
21 #include·<dune/localfunctions/utility/multiindex.hh> 
22 #include·<dune/localfunctions/utility/tensor.hh>16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 17 #include·<dune/localfunctions/lagrange/lagrangeprism.hh>
 18 #include·"hierarchicalprismp2/hierarchicalprismp2localbasis.hh"
 19 #include·"hierarchicalprismp2/hierarchicalprismp2localinterpolation.hh"
23 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
24 ·Classes21 ·Classes
 22 class· Dune::HierarchicalPrismP2LocalFiniteElement<_D,_R_>
25 ·class· Dune::MonomialBasisSize<_geometryId_> 
26   
27 struct· Dune::MonomialBasisHelper<_mydim,_dim,_F_> 
28   
29 ·class· Dune::MonomialBasisImpl<_geometryId,_F_> 
30   
31 ·class· Dune::MonomialBasis<_geometryId,_F_> 
32   
33 ·class· Dune::StandardMonomialBasis<_dim,_F_> 
34   
35 ·class· Dune::StandardBiMonomialBasis<_dim,_F_> 
36   
37 ·class· Dune::VirtualMonomialBasis<_dim,_F_> 
38   
39 ·class· Dune::VirtualMonomialBasisImpl<_geometryId,_F_> 
40   
41 struct· Dune::MonomialBasisFactory<_dim,_F_> 
42   
43 struct· Dune::MonomialBasisFactory<_dim,_F_>::EvaluationBasisFactory<_dd,_FF_> 
44   
45 struct· Dune::MonomialBasisProvider<_dim,_SF_> 
46   
47 struct· Dune::MonomialBasisProvider<_dim,_SF_>::EvaluationBasisFactory<_dd,_FF 
48 ·········> 
49  23  
50 ·Namespaces24 ·Namespaces
51 namespace· Dune25 namespace· Dune
52  26  
  
53 ===============================================================================27 ===============================================================================
54 ·····Generated·by [doxygen]·1.9.828 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·monomialbasis.hh·Source·File</title>8 <title>dune-localfunctions:·hierarchicalprismp2.hh·Source·File</title>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility 
13 monomialbasis.hh12 ····*·hierarchical
 13 hierarchicalprismp2.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_MONOMIALBASIS_HH 
21 ·6#define·DUNE_MONOMIALBASIS_HH20 ·5#ifndef·DUNE_HIERARCHICAL_PRISM_P2_LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_HIERARCHICAL_PRISM_P2_LOCALFINITEELEMENT_HH
22 ·722 ·7
23 ·8#include·<vector>23 ·8#include·<dune/geometry/type.hh>
24 ·924 ·9
25 ·10#include·<dune/common/fvector.hh> 
26 ·11#include·<dune/common/fmatrix.hh>25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 26 ·11#include·<dune/localfunctions/lagrange/lagrangeprism.hh>
27 ·1227 ·12
28 ·13#include·<dune/geometry/type.hh> 
29 ·14#include·<dune/geometry/topologyfactory.hh>28 ·13#include·"hierarchicalprismp2/hierarchicalprismp2localbasis.hh"
 29 ·14#include·"hierarchicalprismp2/hierarchicalprismp2localinterpolation.hh"
30 ·1530 ·15
31 ·16#include·<dune/localfunctions/utility/field.hh> 
32 ·17#include·<dune/localfunctions/utility/multiindex.hh> 
33 ·18#include·<dune/localfunctions/utility/tensor.hh>31 ·16
 32 ·17namespace·Dune
 33 ·18{
34 ·1934 ·19
 35 ·22·template<class·D,·class·R>
 36 23·class·HierarchicalPrismP2LocalFiniteElement
 37 ·24·{
 38 ·25
 39 ·26
 40 ·27·public:
 41 ·30·typedef·LocalFiniteElementTraits<HierarchicalPrismP2LocalBasis<D,R>,
 42 ·31·Impl::LagrangePrismLocalCoefficients<2>,
 43 32·HierarchicalPrismP2LocalInterpolation<HierarchicalPrismP2LocalBasis<D,R>·>·>
 44 Traits;
 45 ·33
 46 36·HierarchicalPrismP2LocalFiniteElement·()
 47 ·37·{}
 48 ·38
 49 41·const·typename·Traits::LocalBasisType&·localBasis·()·const
 50 ·42·{
 51 ·43·return·basis;
35 ·20namespace·Dune 
36 ·21{ 
37 ·22·/************************************************ 
38 ·23·*·Classes·for·evaluating·''Monomials''·on·any·order 
39 ·24·*·for·all·reference·element·type. 
40 ·25·*·For·a·simplex·topology·these·are·the·normal 
41 ·26·*·monomials·for·cube·topologies·the·bimonomials. 
42 ·27·*·The·construction·follows·the·construction·of·the 
43 ·28·*·generic·geometries·using·tensor·products·for 
44 ·29·*·prism·generation·and·duffy·transform·for·pyramid 
45 ·30·*·construction. 
46 ·31·*·A·derivative·argument·can·be·applied,·in·which·case 
47 ·32·*·all·derivatives·up·to·the·desired·order·are 
48 ·33·*·evaluated.·Note·that·for·higher·order·derivatives 
49 ·34·*·only·the·''lower''·part·of·the·symmetric·tensor 
50 ·35·*·is·evaluated,·e.g.,·passing·derivative·equal·to·2 
51 ·36·*·to·the·class·will·provide·the·vector 
52 ·37·*·(d/dxdx·p,·d/dxydx·p,·d/dydy·p, 
53 ·38·*·d/dx·p,·d/dy·p,·p) 
54 ·39·*·Important: 
55 ·40·*·So·far·the·computation·of·the·derivatives·has·not 
56 ·41·*·been·fully·implemented·for·general·pyramid 
57 ·42·*·construction,·i.e.,·in·the·case·where·a·pyramid·is 
58 ·43·*·build·over·a·non·simplex·base·geometry. 
59 ·44·*52 ·44·}
 53 ·45
 54 48·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 55 ·49·{
 56 ·50·return·coefficients;
 57 ·51·}
 58 ·52
 59 55·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 60 ·56·{
 61 ·57·return·interpolation;
 62 ·58·}
 63 ·59
 64 61·unsigned·int·size·()·const
 65 ·62·{
 66 ·63·return·basis.size();
 67 ·64·}
 68 ·65
 69 68·static·constexpr·GeometryType·type·()
 70 ·69·{
 71 ·70·return·GeometryTypes::prism;
 72 ·71·}
 73 ·72
 74 ·73·private:
 75 ·74·HierarchicalPrismP2LocalBasis<D,R>·basis;
 76 ·75
 77 ·77·Impl::LagrangePrismLocalCoefficients<2>·coefficients;
60 ·45·*·Central·classes: 
61 ·46·*·1)·template<·GeometryType::Id·geometryId,·class·F·> 
62 ·47·*·class·MonomialBasisImpl; 
63 ·48·*·Implementation·of·the·monomial·evaluation·for 
64 ·49·*·a·given·topology·and·field·type. 
65 ·50·*·The·method·evaluate·fills·a·F*·vector 
66 ·51·*·2)·template<·GeometryType::Id·geometryId,·class·F·> 
67 ·52·*·class·MonomialBasis 
68 ·53·*·The·base·class·for·the·static·monomial·evaluation 
69 ·54·*·providing·addiional·evaluate·methods·including 
70 ·55·*·one·taking·std::vector<F>. 
71 ·56·*·3)·template<·int·dim,·class·F·> 
72 ·57·*·class·VirtualMonomialBasis 
73 ·58·*·Virtualization·of·the·MonomialBasis. 
74 ·59·*·4)·template<·int·dim,·class·F·> 
75 ·60·*·struct·MonomialBasisFactory; 
76 ·61·*·A·factory·class·for·the·VirtualMonomialBasis 
77 ·62·*·5)·template<·int·dim,·class·F·> 
78 ·63·*·struct·MonomialBasisProvider 
79 ·64·*·A·singleton·container·for·the·virtual·monomial 
80 ·65·*·basis 
81 ·66·************************************************/ 
82 ·67 
83 ·68·//·Internal·Forward·Declarations 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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13 Namespaces·|·Functions 
14 basisprint.hh·File·Reference 
15 #include·<dune/localfunctions/utility/multiindex.hh> 
16 #include·<dune/localfunctions/utility/polynomialbasis.hh>12 ····*·hierarchical
 13 Classes·|·Namespaces
 14 hierarchicalp2.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
 16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 17 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 18 #include·"hierarchicalp2/hierarchicalsimplexp2localbasis.hh"
 19 #include·"hierarchicalp2/hierarchicalsimplexp2localinterpolation.hh"
17 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
 21 ·Classes
 22 class· Dune::HierarchicalP2LocalFiniteElement<_D,_R,_dim_>
 23  
18 ·Namespaces24 ·Namespaces
19 namespace· Dune25 namespace· Dune
20  26  
21 ·Functions 
22 template<int·deriv,·class·BasisFactory·,·class·PrintField·,·GeometryType::Id 
23 geometryId> 
24 void Dune::basisPrint·(std::ostream·&out,·typename·BasisFactory::Object 
25 ······&basis) 
26   
27 template<int·deriv,·class·BasisFactory·,·class·PrintField·=·typename 
28 BasisFactory::StorageField> 
29 void Dune::basisPrint·(std::ostream·&out,·typename·BasisFactory::Key·&key) 
30   
  
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility 
13 basisprint.hh12 ····*·hierarchical
 13 hierarchicalp2.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·BASISPRINT 
21 ·6#define·BASISPRINT 
22 ·7#include·<dune/localfunctions/utility/multiindex.hh> 
23 ·8#include·<dune/localfunctions/utility/polynomialbasis.hh>20 ·5#ifndef·DUNE_HIERARCHICAL_P2_LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_HIERARCHICAL_P2_LOCALFINITEELEMENT_HH
 22 ·7
 23 ·8#include·<dune/geometry/type.hh>
 24 ·9
 25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 26 ·11#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 27 ·12
 28 ·13#include·"hierarchicalp2/hierarchicalsimplexp2localbasis.hh"
 29 ·14#include·"hierarchicalp2/hierarchicalsimplexp2localinterpolation.hh"
 30 ·15
24 ·9namespace·Dune·{31 ·16namespace·Dune
 32 ·17{
 33 ·18
 34 ·21·template<class·D,·class·R,·int·dim>
 35 22·class·HierarchicalP2LocalFiniteElement
25 ·10·/********************************************** 
26 ·11·*·Methods·for·printing·a·PolynomialBasis. 
27 ·12·*·Is·achieved·by·using·the·MultiIndex·class·as 
28 ·13·*·Field·type·and·printing·the·results. 
29 ·14·*·The·basis·and·higher·order·derivatives·can·be 
30 ·15·*·printed.·This·could·be·the·basis·for·printing 
31 ·16·*·routings·providing·C++·or·matlab·methods 
32 ·17·*·for·computing·the·basisfunctions·for·given 
33 ·18·*·orders·or·reference·elements. 
34 ·19·**********************************************/ 
35 ·20·//·default·argument·does·not·work·for·gcc·4.1.2 
36 ·21·//·template·<int·deriv,class·BasisFactory,class·PrintField=typename 
37 BasisFactory::StorageField> 
38 ·22·template·<int·deriv,class·BasisFactory,class·PrintField,GeometryType::Id 
39 geometryId> 
40 23·void·basisPrint(std::ostream·&out, 
41 ·24·typename·BasisFactory::Object·&basis) 
42 ·25·{36 ·23·{
43 ·26·typedef·typename·BasisFactory::Object·Basis; 
44 ·27·const·int·dimension·=·Basis::dimension; 
45 ·28 
46 ·29·typedef·MultiIndex<_dimension,_PrintField_>·Field; 
47 ·30·typedef·typename·BasisFactory::template 
48 EvaluationBasisFactory<dimension,Field>::Type 
49 ·31·MIBasisFactory; 
50 ·32·typedef·typename·MIBasisFactory::Object·MIBasis; 
51 ·33·typedef·typename·Basis::CoefficientMatrix·CMatrix; 
52 ·34·typedef·PolynomialBasis<StandardEvaluator<MIBasis>,·CMatrix·>·PrintBasis;37 ·24
 38 ·25·static_assert(1·<=·dim·&&·dim·<=·3,
 39 ·26·"HierarchicalP2LocalFiniteElement·only·implemented·for·dim==1,·2,·3.");
 40 ·27
 41 ·28·public:
 42 ·31·typedef·LocalFiniteElementTraits<
 43 ·32·HierarchicalSimplexP2LocalBasis<D,R,dim>,
 44 ·33·typename·LagrangeSimplexLocalFiniteElement<D,R,dim,2>::Traits::
 45 LocalCoefficientsType,
 46 34
 47 HierarchicalSimplexP2LocalInterpolation<HierarchicalSimplexP2LocalBasis<D,R,dim>
 48 >·>·Traits;
53 ·3549 ·35
 50 38·HierarchicalP2LocalFiniteElement·()
 51 ·39·{}
54 ·36·MIBasis·*miBasis·=·MIBasisFactory::template·create<geometryId>(·basis.basis 
55 ().order()); 
56 ·37·PrintBasis·printBasis(*miBasis,basis.matrix(),basis.size()); 
57 ·38 
58 ·39·unsigned·int·size·=·printBasis.size(); 
59 ·4052 ·40
 53 43·const·typename·Traits::LocalBasisType&·localBasis·()·const
 54 ·44·{
 55 ·45·return·basis;
 56 ·46·}
60 ·41·out·<<·"%·Number·of·base·functions:·"·<<·size·<<·std::endl; 
61 ·42·out·<<·"%·Derivative·order:·"·<<·deriv·<<·std::endl; 
62 ·43 
63 ·44·std::vector<·FieldVector< 
64 ·45·FieldVector<Field,LFETensor<Field,dimension,deriv>::size>, 
65 ·46·PrintBasis::dimRange>·>·y(·size·); 
66 ·4757 ·47
 58 50·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
67 ·48·FieldVector<·Field,·dimension·>·x; 
68 ·49·for(·int·i·=·0;·i·<·dimension;·++i·) 
69 ·50·x[·i·].set(·i,·1·); 
70 ·51·printBasis.template·evaluateSingle<deriv>(·x,·y·); 
71 ·52·for·(unsigned·int·i=0;·i<size;·++i) 
72 ·53·{59 ·51·{
 60 ·52·return·coefficients;
73 ·54·out·<<·"$\\varphi_"·<<·i·<<·"(a,b,c)$&$=$&$"·<<·std::endl; 
74 ·55·out·<<·"(·"; 
75 ·56·for·(unsigned·int·r=0;·r<PrintBasis::dimRange;·++r) 
76 ·57·out·<<·y[i][r]·<<·(r<PrintBasis::dimRange-1·?·"·,·$·\\\\·&&·$"·:·"·)$ 
77 \\\\"); 
78 ·58·out·<<·std::endl; 
79 ·59·}61 ·53·}
80 ·60·MIBasisFactory::release(miBasis);62 ·54
 63 57·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 64 ·58·{
 65 ·59·return·interpolation;
81 ·61·}66 ·60·}
 67 ·61
 68 63·unsigned·int·size·()·const
82 ·62 
83 ·63·template·<int·deriv,class·BasisFactory,class·PrintField=typename 
84 BasisFactory::StorageField> 
85 64·void·basisPrint(std::ostream·&out, 
86 ·65·typename·BasisFactory::Key·&key) 
87 ·66·{69 ·64·{
88 ·67·typename·BasisFactory::Object·*basis·=·BasisFactory::create(key); 
89 ·68·basisPrint<deriv,BasisFactory,PrintField>(out,*basis); 
90 ·69·BasisFactory::release(basis);70 ·65·return·basis.size();
 71 ·66·}
 72 ·67
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility12 ····*·hierarchical
 13 ····*·hierarchicalp2
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 basismatrix.hh·File·Reference 
15 #include·<fstream>15 hierarchicalsimplexp2localbasis.hh·File·Reference
 16 Hierarchical·p2·shape·functions·for·the·simplex.·More...
 17 #include·<numeric>
16 #include·<dune/common/exceptions.hh>18 #include·<dune/common/fvector.hh>
17 #include·<dune/localfunctions/utility/lfematrix.hh>19 #include·<dune/common/fmatrix.hh>
18 #include·<dune/localfunctions/utility/monomialbasis.hh>20 #include·<dune/localfunctions/common/localbasis.hh>
19 #include·<dune/localfunctions/utility/polynomialbasis.hh> 
20 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
21 ·Classes22 ·Classes
22 struct· Dune::BasisMatrixBase<_PreBasis,_Interpolation,_Field_>23 class· Dune::HierarchicalSimplexP2LocalBasis<_D,_R,_dim_>
23  24  
24 struct· Dune::BasisMatrix<_const_MonomialBasis<_geometryId,_F_>, 
25 ·········Interpolation,_Field_>25 class· Dune::HierarchicalSimplexP2LocalBasis<_D,_R,_1_>
 26  ······Hierarchical·P2·basis·in·1d.·More...
26  27  
27 struct· Dune::BasisMatrix<_const_Dune::VirtualMonomialBasis<_dim,_F_>, 
28 ·········Interpolation,_Field_>28 class· Dune::HierarchicalSimplexP2LocalBasis<_D,_R,_2_>
 29  ······Hierarchical·P2·basis·in·2d.·More...
29  30  
 31 class· Dune::HierarchicalSimplexP2LocalBasis<_D,_R,_3_>
 32  ······Hierarchical·P2·basis·in·3d.·More...
30 struct· Dune::BasisMatrix<_const_PolynomialBasis<_Eval,_CM,_D,_R_>, 
31 ·········Interpolation,_Field_> 
32   
33 struct· Dune::BasisMatrix<_const_PolynomialBasisWithMatrix<_Eval,_CM_>, 
34 ·········Interpolation,_Field_> 
35  33  
36 ·Namespaces34 ·Namespaces
37 namespace· Dune35 namespace· Dune
38  36  
 37 *****·Detailed·Description·*****
 38 Hierarchical·p2·shape·functions·for·the·simplex.
  
39 ===============================================================================39 ===============================================================================
40 ·····Generated·by [doxygen]·1.9.840 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility 
13 basismatrix.hh12 ····*·hierarchical
 13 ····*·hierarchicalp2
 14 hierarchicalsimplexp2localbasis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_BASISMATRIX_HH 
21 ·6#define·DUNE_BASISMATRIX_HH21 ·5#ifndef·DUNE_HIERARCHICAL_SIMPLEX_P2_LOCALBASIS_HH
 22 ·6#define·DUNE_HIERARCHICAL_SIMPLEX_P2_LOCALBASIS_HH
22 ·723 ·7
23 ·8#include·<fstream>24 ·12#include·<numeric>
 25 ·13
24 ·9#include·<dune/common/exceptions.hh>26 ·14#include·<dune/common/fvector.hh>
25 ·10 
26 ·11#include·<dune/localfunctions/utility/lfematrix.hh>27 ·15#include·<dune/common/fmatrix.hh>
 28 ·16
27 ·12#include·<dune/localfunctions/utility/monomialbasis.hh>29 ·17#include·<dune/localfunctions/common/localbasis.hh>
 30 ·18
28 ·13#include·<dune/localfunctions/utility/polynomialbasis.hh> 
29 ·14 
30 ·15namespace·Dune31 ·19namespace·Dune
 32 ·20{
 33 ·21·template<class·D,·class·R,·int·dim>
 34 22·class·HierarchicalSimplexP2LocalBasis
31 ·16{ 
32 ·17·/**************************************** 
33 ·18·*·A·dense·matrix·representation·of·a·''polynomial'' 
34 ·19·*·basis.·Its·represent·a·basis·as·a·linear 
35 ·20·*·combination·of·a·second·basis,·i.e.,·a 
36 ·21·*·monomial·basis.·It·is·simular·to·the·PolynomialBasis 
37 ·22·*·but·it·not·derived·from·the·LocalBasis·class. 
38 ·23·*·It·is·used·to·define·a·''pre·basis''. 
39 ·24·****************************************/ 
40 ·25·template<·class·PreBasis,·class·Interpolation, 
41 ·26·class·Field·> 
42 27·struct·BasisMatrix; 
43 ·28 
44 ·29·template<·class·PreBasis,·class·Interpolation, 
45 ·30·class·Field·> 
46 31·struct·BasisMatrixBase·:·public·LFEMatrix<Field> 
47 ·32·{35 ·23·{
 36 ·24·public:
 37 25·HierarchicalSimplexP2LocalBasis()
48 33·typedef·LFEMatrix<Field>·Matrix; 
49 ·34 
50 35·BasisMatrixBase(·const·PreBasis&·preBasis, 
51 ·36·const·Interpolation&·localInterpolation·) 
52 ·37·:·cols_(preBasis.size()) 
53 ·38·{ 
54 ·39·localInterpolation.interpolate(·preBasis,·*this·); 
55 ·40 
56 ·41·if·(·!Matrix::invert()·) 
57 ·42·{38 ·26·{
58 ·43·DUNE_THROW(MathError,·"While·computing·basis·a·singular·matrix·was 
59 constructed!"); 
60 ·44·} 
61 ·45·} 
62 46·unsigned·int·cols·()·const39 ·27·DUNE_THROW(Dune::NotImplemented,"HierarchicalSimplexP2LocalBasis·not
 40 implemented·for·dim·>·3.");
 41 ·28·}
 42 ·29·};
 43 ·30
 44 ·45·template<class·D,·class·R>
 45 46·class·HierarchicalSimplexP2LocalBasis<D,R,1>
63 ·47·{46 ·47·{
64 ·48·return·cols_; 
65 ·49·}47 ·48·public:
 48 ·50·typedef·LocalBasisTraits<D,1,Dune::FieldVector<D,1>,R,1,Dune::
 49 FieldVector<R,1>,
 50 51·Dune::FieldMatrix<R,1,1>·>·Traits;
 51 ·52
66 50·unsigned·int·rows·()·const52 54·unsigned·int·size·()·const
67 ·51·{53 ·55·{
68 ·52·return·Matrix::rows();54 ·56·return·3;
69 ·53·}55 ·57·}
 56 ·58
 57 60·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 58 ·61·std::vector<typename·Traits::RangeType>&·out)·const
70 ·54·private: 
71 ·55·unsigned·int·cols_; 
72 ·56·}; 
73 ·57 
74 ·58·template<·GeometryType::Id·geometryId,·class·F, 
75 ·59·class·Interpolation, 
76 ·60·class·Field·> 
77 61·struct·BasisMatrix<·const·MonomialBasis<·geometryId,·F·>,·Interpolation, 
78 Field·> 
79 ·62·:·public·BasisMatrixBase<·const·MonomialBasis<·geometryId,·F·>, 
80 Interpolation,·Field·> 
81 ·63·{59 ·62·{
82 64·typedef·const·MonomialBasis<_geometryId,_F_>·PreBasis; 
83 65·typedef·BasisMatrixBase<PreBasis,Interpolation,Field>·Base; 
84 66·typedef·typename·Base::Matrix·Matrix; 
85 ·67 
86 68·BasisMatrix(·const·PreBasis&·preBasis, 
87 ·69·const·Interpolation&·localInterpolation·) 
88 ·70·:·Base(preBasis,·localInterpolation) 
89 ·71·{} 
90 ·72·template·<class·Vector> 
91 73·void·row(·const·unsigned·int·row,·Vector·&vec·)·const60 ·63·out.resize(3);
 61 ·64
 62 ·65·out[0]·=·1-in[0];
 63 ·66·out[1]·=·1-4*(in[0]-0.5)*(in[0]-0.5);
 64 ·67·out[2]·=·in[0];
 65 ·68·}
 66 ·69
 67 ·71·inline·void
 68 72·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
 69 ·73·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
92 ·74·{70 ·74·{
 71 ·75·out.resize(3);
 72 ·76
 73 ·77·out[0][0][0]·=·-1;
 74 ·78·out[1][0][0]·=·4-8*in[0];
 75 ·79·out[2][0][0]·=·1;
93 ·75·const·unsigned·int·N·=·Matrix::rows(); 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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10 ····*·dune10 ····*·dune
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 13 ····*·hierarchicalp2
13 Classes·|·Namespaces14 Classes·|·Namespaces
 15 hierarchicalsimplexp2localinterpolation.hh·File·Reference
 16 #include·<vector>
 17 #include·<dune/localfunctions/common/localinterpolation.hh>
14 defaultbasisfactory.hh·File·Reference 
15 #include·<fstream> 
16 #include·<dune/common/exceptions.hh> 
17 #include·<dune/localfunctions/utility/basismatrix.hh> 
18 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
19 ·Classes19 ·Classes
 20 class· Dune::HierarchicalSimplexP2LocalInterpolation<_LB_>
20 struct· Dune::Identity 
21   
22 struct· Dune::DefaultBasisFactory<_PreBFactory,_InterpolFactory,_dim,_dimR, 
23 ·········SF,_CF,_PreBasisKeyExtractor_> 
24   
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27  21  
28 ·Namespaces22 ·Namespaces
29 namespace· Dune23 namespace· Dune
30  24  
  
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7 Loading...7 Loading...
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·utility 
13 defaultbasisfactory.hh12 ····*·hierarchical
 13 ····*·hierarchicalp2
 14 hierarchicalsimplexp2localinterpolation.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_DEFAULTBASISFACTORY_HH 
21 ·6#define·DUNE_DEFAULTBASISFACTORY_HH21 ·5#ifndef·DUNE_HIERARCHICAL_SIMPLEX_P2_LOCALINTERPOLATION_HH
 22 ·6#define·DUNE_HIERARCHICAL_SIMPLEX_P2_LOCALINTERPOLATION_HH
22 ·723 ·7
23 ·8#include·<fstream>24 ·8#include·<vector>
24 ·9#include·<dune/common/exceptions.hh>25 ·9#include·<dune/localfunctions/common/localinterpolation.hh>
25 ·1026 ·10
26 ·11#include·<dune/localfunctions/utility/basismatrix.hh> 
27 ·12 
28 ·13namespace·Dune27 ·11namespace·Dune
29 ·14{28 ·12{
30 15·struct·Identity 
31 ·16·{ 
32 ·17·template·<class·T>29 ·16·template<class·LB>
33 18·static·T·apply(·const·T·&t·)30 17·class·HierarchicalSimplexP2LocalInterpolation
34 ·19·{31 ·18·{
 32 ·19·public:
 33 ·20
 34 ·21·template<typename·F,·typename·C>
 35 22·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
35 ·20·return·t; 
36 ·21·} 
37 ·22·}; 
38 ·23·/************************************************ 
39 ·24·*·Class·for·providing·a·factory·for·basis 
40 ·25·*·functions·over·the·set·of·reference·elements. 
41 ·26·*·Is·based·on·the·TopologyFactory·but·additionally 
42 ·27·*·provides·rebindes·of·the·field·type. 
43 ·28·*·The·user·provides·factories·for·the·pre·basis·and·the 
44 ·29·*·interpolations.·The·default·construction·process·of 
45 ·30·*·the·basis·is·performed·in·this·class. 
46 ·31·************************************************/ 
47 ·32·template<·class·PreBFactory, 
48 ·33·class·InterpolFactory, 
49 ·34·unsigned·int·dim,·unsigned·int·dimR, 
50 ·35·class·SF,·class·CF, 
51 ·36·class·PreBasisKeyExtractor·=·Identity·> 
52 37·struct·DefaultBasisFactory 
53 ·38·{36 ·23·{
54 39·static·const·unsigned·int·dimension·=·dim; 
55 40·static·const·unsigned·int·dimRange·=·dimR; 
56 41·typedef·SF·StorageField; 
57 42·typedef·CF·ComputeField; 
58 43·typedef·PreBFactory·PreBasisFactory; 
59 44·typedef·typename·PreBasisFactory::Object·PreBasis; 
60 45·typedef·InterpolFactory·InterpolationFactory; 
61 46·typedef·typename·InterpolationFactory::Object·Interpolation; 
62 47·typedef·typename·PreBasisFactory::template·EvaluationBasisFactory<dim,SF>:: 
63 Type·MonomialBasisFactory; 
64 48·typedef·typename·MonomialBasisFactory::Object·MonomialBasis; 
65 49·typedef·StandardEvaluator<_MonomialBasis_>·Evaluator; 
66 50·typedef·PolynomialBasisWithMatrix<_Evaluator,_SparseCoeffMatrix<_SF, 
67 dimRange_>·>·Basis;37 ·24·typename·LB::Traits::DomainType·x;
 38 ·25·typename·LB::Traits::RangeType·y;
 39 ·26
 40 ·27·auto&&·f·=·Impl::makeFunctionWithCallOperator<decltype(x)>(ff);
 41 ·28
 42 ·29·static_assert(LB::Traits::dimDomain·<=·3,
 43 ·30·"LocalInterpolation·for·HierarchicalSimplexP2·finite·elements"
 44 ·31·"·is·only·implemented·for·dimDomain·<=3!");
 45 ·32
 46 ·33·switch·(·int(LB::Traits::dimDomain))·{
 47 ·34
 48 ·35·case·1·:
 49 ·36
 50 ·37·out.resize(3);
 51 ·38
 52 ·39·//·First:·the·two·vertex·dofs
 53 ·40·x[0]·=·0.0;·out[0]·=·f(x);
 54 ·41·x[0]·=·1.0;·out[2]·=·f(x);
 55 ·42
 56 ·43·//·Then:·the·edge·dof
 57 ·44·x[0]·=·0.5;·y·=·f(x);
 58 ·45·out[1]·=·y·-·0.5*(out[0]·+·out[2]);
 59 ·46
 60 ·47·break;
 61 ·48
 62 ·49
 63 ·50·case·2·:
68 ·5164 ·51
 65 ·52·out.resize(6);
 66 ·53
 67 ·54·//·First:·the·three·vertex·dofs
 68 ·55·x[0]·=·0.0;·x[1]·=·0.0;·out[0]·=·f(x);
 69 ·56·x[0]·=·1.0;·x[1]·=·0.0;·out[2]·=·f(x);
 70 ·57·x[0]·=·0.0;·x[1]·=·1.0;·out[5]·=·f(x);
 71 ·58
 72 ·59·//·Then:·the·three·edge·dofs
 73 ·60·x[0]·=·0.5;·x[1]·=·0.0;·y·=·f(x);
 74 ·61·out[1]·=·y·-·0.5*(out[0]·+·out[2]);
 75 ·62
 76 ·63·x[0]·=·0.0;·x[1]·=·0.5;·y·=·f(x);
 77 ·64·out[3]·=·y·-·0.5*(out[0]·+·out[5]);
 78 ·65
 79 ·66·x[0]·=·0.5;·x[1]·=·0.5;·y·=·f(x);
 80 ·67·out[4]·=·y·-·0.5*(out[2]·+·out[5]);
69 52·typedef·const·Basis·Object; 
70 53·typedef·typename·InterpolationFactory::Key·Key; 
71 ·54·template·<unsigned·int·dd,·class·FF> 
72 55·struct·EvaluationBasisFactory 
73 ·56·{ 
74 ·57·typedef·typename·PreBasisFactory::template·EvaluationBasisFactory<dd,FF>:: 
75 Type 
76 58·Type; 
77 ·59·}; 
78 ·60 
79 ·61·template<·GeometryType::Id·geometryId·> 
80 62·static·Object·*create·(·const·Key·&key·) 
81 ·63·{ 
82 ·64·const·typename·PreBasisFactory::Key·preBasisKey·=·PreBasisKeyExtractor:: 
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8 <title>dune-localfunctions:·field.hh·File·Reference</title>8 <title>dune-localfunctions:·rannacherturek.hh·File·Reference</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 rannacherturek.hh·File·Reference
 13 Convenience·header·that·includes·all·available·Rannacher-Turek
 14 LocalFiniteElements.·More...
 15 #include·<dune/localfunctions/rannacherturek/rannacherturek.hh>
12 ····*·utility 
13 Classes·|·Namespaces·|·Functions 
14 field.hh·File·Reference 
15 #include·<dune/common/gmpfield.hh> 
16 #include·<dune/common/fvector.hh> 
17 #include·<dune/common/fmatrix.hh> 
18 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
 17 *****·Detailed·Description·*****
 18 Convenience·header·that·includes·all·available·Rannacher-Turek
 19 LocalFiniteElements.
19 ·Classes 
20 struct· Dune::Unity<_Field_> 
21  ·······A·class·representing·the·unit·of·a·given·Field.·More... 
22   
23 struct· Dune::Zero<_Field_> 
24  ·······A·class·representing·the·zero·of·a·given·Field.·More... 
25   
26 struct· Dune::FieldCast<_F2,_V_> 
27   
28 struct· Dune::FieldCast<_F2,_Dune::FieldVector<_F1,_dim_>_> 
29   
30 struct· Dune::FieldCast<_F2,_Dune::FieldMatrix<_F1,_dim1,_dim2_>_> 
31   
32 struct· Dune::Precision<_double_> 
33   
34 struct· Dune::Precision<_long_double_> 
35   
36 struct· Dune::Precision<_float_> 
37   
38 struct· Dune::ComputeField<_Field,_sum_> 
39   
40 ·Namespaces 
41 namespace· Dune 
42   
43 ·Functions 
44 template<class·Field·> 
45 ···················Field Dune::operator+·(const·Unity<·Field·>·&u,·const·Field 
46 ··························&f) 
47   
48 template<class·Field·> 
49 ···················Field Dune::operator-·(const·Unity<·Field·>·&u,·const·Field 
50 ··························&f) 
51   
52 template<class·Field·> 
53 ···················Field Dune::operator*·(const·Unity<·Field·>·&u,·const·Field 
54 ··························&f) 
55   
56 template<class·Field·> 
57 ···················Field Dune::operator/·(const·Unity<·Field·>·&u,·const·Field 
58 ··························&f) 
59   
60 template<class·Field·> 
61 ····················bool Dune::operator==·(const·Zero<·Field·>·&,·const·Field 
62 ··························&f) 
63   
64 template<class·Field·> 
65 ····················bool Dune::operator==·(const·Field·&f,·const·Zero<·Field·> 
66 ··························&z) 
67   
68 template<class·Field·> 
69 ····················bool Dune::operator<·(const·Zero<·Field·>·&,·const·Field 
70 ··························&f) 
71   
72 template<class·Field·> 
73 ····················bool Dune::operator<·(const·Field·&f,·const·Zero<·Field·> 
74 ··························&) 
75   
76 template<class·Field·> 
77 ····················bool Dune::operator>·(const·Zero<·Field·>·&z,·const·Field 
78 ··························&f) 
79   
80 template<class·Field·> 
81 ····················bool Dune::operator>·(const·Field·&f,·const·Zero<·Field·> 
82 ··························&z) 
83   
84 template<class·F2·,·class·F1·> 
85 ····················void Dune::field_cast·(const·F1·&f1,·F2·&f2) 
86  ························a·helper·class·to·cast·from·one·field·to·another 
87   
88 template<class·F2·,·class·F1·,·int·dim> 
89 ····················void Dune::field_cast·(const·Dune::FieldVector<·F1,·dim·> 
90 ··························&f1,·Dune::FieldVector<·F2,·dim·>·&f2) 
91   
92 template<class·F2·,·class·F1·> 
93 ····················void Dune::field_cast·(const·Dune::FieldVector<·F1,·1·> 
94 ··························&f1,·F2·&f2) 
95   
96 template<class·F2·,·class·F1·> 
97 ····················void Dune::field_cast·(const·F1·&f1,·Dune::FieldVector< 
98 ··························F2,·1·>·&f2) 
99   
100 template<class·F2·,·class·F1·,·int·rdim,·int·cdim> 
101 ····················void Dune::field_cast·(const·Dune::FieldMatrix<·F1,·rdim, 
102 ··························cdim·>·&f1,·Dune::FieldMatrix<·F2,·rdim,·cdim·>·&f2) 
103   
104 template<class·F2·,·class·F1·> 
105 ····················void Dune::field_cast·(const·Dune::FieldMatrix<·F1,·1,·1·> 
106 ··························&f1,·Dune::FieldMatrix<·F2,·1,·1·>·&f2) 
107   
108 template<class·F2·,·class·F1·> 
109 ····················void Dune::field_cast·(const·Dune::FieldMatrix<·F1,·1,·1·> 
110 ··························&f1,·F2·&f2) 
111   
112 template<class·F2·,·class·F1·> 
113 ····················void Dune::field_cast·(const·F1·&f1,·Dune::FieldMatrix< 
114 ··························F2,·1,·1·>·&f2) 
115   
116 template<class·F2·,·class·F1·> 
117 ····················void Dune::field_cast·(const·Dune::FieldVector<·F1,·1·> 
118 ··························&f1,·Dune::FieldMatrix<·F2,·1,·1·>·&f2) 
119   
120 template<class·F2·,·class·F1·> 
121 ····················void Dune::field_cast·(const·Dune::FieldMatrix<·F1,·1,·1·> 
122 ··························&f1,·Dune::FieldVector<·F2,·1·>·&f2) 
123   
124 template<class·F2·,·class·F1·> 
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7 Loading...7 Loading...
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 rannacherturek.hh
12 ····*·utility 
13 field.hh 
14 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 19 ·9#include·<dune/localfunctions/rannacherturek/rannacherturek.hh>
 20 rannacherturek.hh
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_UTILITY_FIELD_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_UTILITY_FIELD_HH 
22 ·7 
23 ·8#include·<dune/common/gmpfield.hh> 
24 ·9#include·<dune/common/fvector.hh> 
25 ·10#include·<dune/common/fmatrix.hh> 
26 ·11 
27 ·12namespace·Dune 
28 ·13{ 
29 ·14 
30 ·15·//·Unity 
31 ·16·//·----- 
32 ·17 
33 ·28·template<·class·Field·> 
34 29·struct·Unity 
35 ·30·{ 
36 31·operator·Field·()·const 
37 ·32·{ 
38 ·33·return·Field(·1·); 
39 ·34·} 
40 ·35·}; 
41 ·36 
42 ·37·template<·class·Field·> 
43 38·Field·operator+(·const·Unity<_Field_>·&u,·const·Field·&f·) 
44 ·39·{ 
45 ·40·return·(Field)u·+·f; 
46 ·41·} 
47 ·42 
48 ·43·template<·class·Field·> 
49 44·Field·operator-(·const·Unity<_Field_>·&u,·const·Field·&f·) 
50 ·45·{ 
51 ·46·return·(Field)u·-·f; 
52 ·47·} 
53 ·48 
54 ·49·template<·class·Field·> 
55 50·Field·operator*(·const·Unity<_Field_>·&u,·const·Field·&f·) 
56 ·51·{ 
57 ·52·return·f; 
58 ·53·} 
59 ·54 
60 ·55·template<·class·Field·> 
61 56·Field·operator/(·const·Unity<_Field_>·&u,·const·Field·&f·) 
62 ·57·{ 
63 ·58·return·(Field)u·/·f; 
64 ·59·} 
65 ·60 
66 ·61 
67 ·62 
68 ·63·//·Zero 
69 ·64·//·---- 
70 ·65 
71 ·77·template<·class·Field·> 
72 78·struct·Zero 
73 ·79·{ 
74 80·operator·Field·()·const 
75 ·81·{ 
76 ·82·return·Field(·0·); 
77 ·83·} 
78 84·static·const·Field·epsilon() 
79 ·85·{ 
80 ·86·return·Field(1e-12); 
81 ·87·} 
82 ·88·}; 
83 ·89 
84 ·90#if·HAVE_GMP 
85 ·91·template<·unsigned·int·precision·> 
86 ·92·struct·Zero<·GMPField<·precision·>·> 
87 ·93·{ 
88 ·94·typedef·GMPField<·precision·>·Field; 
89 ·95·operator·Field·()·const 
90 ·96·{ 
91 ·97·return·Field(·0·); 
92 ·98·} 
93 ·99·static·const·Field·epsilon() 
94 ·100·{ 
95 ·101·return·Field(1e-20); 
96 ·102·} 
97 ·103·}; 
98 ·104#endif 
99 ·105 
100 ·106·template<·class·Field·> 
101 107·inline·bool·operator_==(·const·Zero<_Field_>·&,·const·Field·&f·) 
102 ·108·{ 
103 ·109·return·(·f·<·Zero<Field>::epsilon()·&&·f·>·-Zero<Field>::epsilon()·); 
104 ·110·} 
105 ·111 
106 ·112·template<·class·Field·> 
107 113·inline·bool·operator_==(·const·Field·&f,·const·Zero<_Field_>·&z) 
108 ·114·{ 
109 ·115·return·(·z·==·f·); 
110 ·116·} 
111 ·117 
112 ·118·template<·class·Field·> 
113 119·inline·bool·operator<(·const·Zero<_Field_>·&,·const·Field·&f·) 
114 ·120·{ 
115 ·121·return·f·>·Zero<Field>::epsilon(); 
116 ·122·} 
117 ·123 
118 ·124·template<·class·Field·> 
119 125·inline·bool·operator<(·const·Field·&f,·const·Zero<_Field_>·&·) 
120 ·126·{ 
121 ·127·return·f·<·-Zero<Field>::epsilon(); 
122 ·128·} 
123 ·129 
124 ·130·template<·class·Field·> 
125 131·inline·bool·operator>(·const·Zero<_Field_>·&z,·const·Field·&f·) 
126 ·132·{ 
127 ·133·return·f·<·z; 
128 ·134·} 
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 13 ····*·dualp1
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 l2interpolation.hh·File·Reference15 dualp1localbasis.hh·File·Reference
 16 #include·<numeric>
15 #include·<dune/common/concept.hh>17 #include·<dune/common/fvector.hh>
16 #include·<dune/geometry/quadraturerules.hh>18 #include·<dune/common/fmatrix.hh>
17 #include·<dune/localfunctions/common/localinterpolation.hh>19 #include·<dune/localfunctions/common/localbasis.hh>
18 #include·<dune/localfunctions/utility/lfematrix.hh> 
19 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
20 ·Classes21 ·Classes
 22 class· Dune::DualP1LocalBasis<_D,_R,_dim,_faceDualT_>
 23  ······Dual·Lagrange·shape·functions·on·the·simplex.·More...
21 ·class· Dune::LocalL2InterpolationBase<_B,_Q_> 
22   
23 struct· Dune::LocalL2Interpolation<_B,_Q,_true_> 
24   
25 struct· Dune::LocalL2Interpolation<_B,_Q,_false_> 
26   
27 struct· Dune::LocalL2InterpolationFactory<_BasisFactory,_onb_> 
28  ·······A·factory·class·for·the·local·l2·interpolations·taking·a·basis 
29 ·········factory.·More... 
30  24  
31 ·Namespaces25 ·Namespaces
32 namespace· Dune26 namespace· Dune
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7 Loading...7 Loading...
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10 ····*·dune10 ····*·dune
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13 l2interpolation.hh12 ····*·dualmortarbasis
 13 ····*·dualp1
 14 dualp1localbasis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_L2INTERPOLATION_HH 
21 ·6#define·DUNE_L2INTERPOLATION_HH21 ·5#ifndef·DUNE_DUAL_P1_LOCALBASIS_HH
 22 ·6#define·DUNE_DUAL_P1_LOCALBASIS_HH
22 ·723 ·7
23 ·8#include·<dune/common/concept.hh>24 ·8#include·<numeric>
24 ·925 ·9
25 ·10#include·<dune/geometry/quadraturerules.hh> 
26 ·1126 ·10#include·<dune/common/fvector.hh>
 27 ·11#include·<dune/common/fmatrix.hh>
27 ·12#include·<dune/localfunctions/common/localinterpolation.hh>28 ·12#include·<dune/localfunctions/common/localbasis.hh>
 29 ·13
28 ·13#include·<dune/localfunctions/utility/lfematrix.hh> 
29 ·14 
30 ·15namespace·Dune30 ·14namespace·Dune
31 ·16{31 ·15{
 32 ·32·template<class·D,·class·R,·int·dim,·bool·faceDualT=false>
 33 33·class·DualP1LocalBasis
32 ·32·template<·class·B,·class·Q,·bool·onb·> 
33 33·struct·LocalL2Interpolation; 
34 ·34 
35 ·35·template<·class·B,·class·Q·> 
36 36·class·LocalL2InterpolationBase 
37 ·37·{34 ·34·{
38 ·38·typedef·LocalL2InterpolationBase<_B,_Q_>·This; 
39 ·39 
40 ·40·public:35 ·35·public:
 36 37·static·const·bool·faceDual·=·faceDualT;
 37 ·39·typedef·LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune::
 38 FieldVector<R,1>,
 39 40·Dune::FieldMatrix<R,1,dim>·>·Traits;
 40 ·41
 41 43·unsigned·int·size·()·const
41 41·typedef·B·Basis; 
42 42·typedef·Q·Quadrature; 
43 ·43 
44 44·static·const·unsigned·int·dimension·=·Basis::dimension; 
45 ·45 
46 ·47·template<·class·Function,·class·DofField,·std::enable_if_t<models<Impl:: 
47 FunctionWithEvaluate<typename·Function::DomainType,·typename·Function:: 
48 RangeType>,·Function>(),·int>·=·0·> 
49 48·void·interpolate·(·const·Function·&function,·std::vector<·DofField·> 
50 &coefficients·)·const 
51 ·49·{42 ·44·{
52 ·50·typedef·typename·Quadrature::iterator·Iterator; 
53 ·51·typedef·FieldVector<·DofField,·Basis::dimRange·>·RangeVector; 
54 ·52 
55 ·53·const·unsigned·int·size·=·basis().size(); 
56 ·54·static·std::vector<·RangeVector·>·basisValues(·size·); 
57 ·55 
58 ·56·coefficients.resize(·size·); 
59 ·57·basisValues.resize(·size·); 
60 ·58·for(·unsigned·int·i·=·0;·i·<·size;·++i·) 
61 ·59·coefficients[·i·]·=·Zero<_DofField_>();43 ·45·return·dim+1;
 44 ·46·}
 45 ·47
 46 49·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 47 ·50·std::vector<typename·Traits::RangeType>&·out)·const
 48 ·51·{
 49 ·52·//·evaluate·P1·basis·functions
 50 ·53·std::vector<typename·Traits::RangeType>·p1Values(size());
 51 ·54
 52 ·55·p1Values[0]·=·1.0;
 53 ·56
 54 ·57·for·(int·i=0;·i<dim;·i++)·{
 55 ·58·p1Values[0]·-=·in[i];
 56 ·59·p1Values[i+1]·=·in[i];
62 ·6057 ·60·}
63 ·61·const·Iterator·end·=·quadrature().end(); 
64 ·62·for(·Iterator·it·=·quadrature().begin();·it·!=·end;·++it·) 
65 ·63·{ 
66 ·64·basis().evaluate(·it->position(),·basisValues·); 
67 ·65·typename·Function::RangeType·val; 
68 ·66·function.evaluate(·field_cast<typename·Function::DomainType::field_type> 
69 (it->position()),·val·); 
70 ·67·RangeVector·factor·=·field_cast<·DofField·>(·val·); 
71 ·68·factor·*=·field_cast<·DofField·>(·it->weight()·); 
72 ·69·for(·unsigned·int·i·=·0;·i·<·size;·++i·) 
73 ·70·coefficients[·i·]·+=·factor·*·basisValues[·i·]; 
74 ·71·}58 ·61
 59 ·62·//·compute·dual·basis·function·values·as·a·linear·combination·of·the
 60 Lagrange·values
 61 ·63·out.resize(size());
 62 ·64
 63 ·65·for·(int·i=0;·i<=dim;·i++)·{
 64 ·66·out[i]·=·(dim+!faceDual)*p1Values[i];
 65 ·67·for·(int·j=0;·j<i;·j++)
 66 ·68·out[i]·-=·p1Values[j];
 67 ·69
 68 ·70·for·(int·j=i+1;·j<=dim;·j++)
 69 ·71·out[i]·-=·p1Values[j];
75 ·72·}70 ·72·}
76 ·7371 ·73·}
 72 ·74
 73 ·76·inline·void
 74 77·evaluateJacobian·(const·typename·Traits::DomainType&·in,
 75 ·78·std::vector<typename·Traits::JacobianType>&·out)·const
77 ·75·template<·class·Function,·class·DofField,·std::enable_if_t<models<Impl:: 
78 FunctionWithCallOperator<typename·Quadrature::value_type::Vector>,·Function>(), 
79 int>·=·0·> 
80 76·void·interpolate·(·const·Function·&function,·std::vector<·DofField·> 
81 &coefficients·)·const 
82 ·77·{76 ·79·{
 77 ·80·//·evaluate·P1·jacobians
 78 ·81·std::vector<typename·Traits::JacobianType>·p1Jacs(size());
83 ·78·typedef·FieldVector<·DofField,·Basis::dimRange·>·RangeVector; 
84 ·79 
85 ·80·const·unsigned·int·size·=·basis().size(); 
86 ·81·static·std::vector<·RangeVector·>·basisValues(·size·); 
87 ·8279 ·82
88 ·83·coefficients.resize(·size·); 
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 20 class· Dune::DualP1LocalInterpolation<_dim,_LB_>
25 struct· Dune::MonomialEvaluator<_B_> 
26   
27 struct· Dune::MonomialEvaluator<_B_>::Iterator<_deriv_> 
28   
29 struct· Dune::MonomialEvaluator<_B_>::BaseIterator<_Deriv_> 
30   
31 struct· Dune::StandardEvaluator<_B_> 
32   
33 struct· Dune::StandardEvaluator<_B_>::Iterator<_deriv_> 
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14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_BASISEVALUATOR_HH 
21 ·6#define·DUNE_BASISEVALUATOR_HH21 ·5#ifndef·DUNE_DUAL_P1_LOCALINTERPOLATION_HH
 22 ·6#define·DUNE_DUAL_P1_LOCALINTERPOLATION_HH
22 ·723 ·7
23 ·8#include·<vector>24 ·8#include·<vector>
 25 ·9#include·<dune/localfunctions/common/localinterpolation.hh>
 26 ·10
24 ·9 
25 ·10#include·<dune/common/fmatrix.hh> 
26 ·11#include·<dune/common/fvector.hh> 
27 ·12#include·<dune/common/typetraits.hh> 
28 ·13 
29 ·14#include·<dune/geometry/type.hh> 
30 ·15 
31 ·16#include·<dune/localfunctions/utility/field.hh> 
32 ·17#include·<dune/localfunctions/utility/multiindex.hh> 
33 ·18#include·<dune/localfunctions/utility/tensor.hh> 
34 ·19 
35 ·20namespace·Dune27 ·11namespace·Dune
36 ·21{28 ·12{
37 ·22·/******************************************* 
38 ·23·*·Should·be·removed·as·soon·as·the·Tensor 
39 ·24·*·classes·have·been·revisited.·See·remarks 
40 ·25·*·in·tensor.hh·(also·hold·true·here). 
41 ·26·*******************************************/29 ·13·template<int·dim,·class·LB>
 30 14·class·DualP1LocalInterpolation
 31 ·15·{
 32 ·16·public:
 33 ·18·template<typename·F,·typename·C>
 34 19·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
 35 ·20·{
 36 ·21·typename·LB::Traits::DomainType·x;
 37 ·22·//·If·the·dual·functions·are·dual·on·the·faces,
 38 ·23·//·then·adjust·the·interpolation·weights
 39 ·24·const·int·faceDual(LB::faceDual);
 40 ·25
 41 ·26·auto&&·f·=·Impl::makeFunctionWithCallOperator<decltype(x)>(ff);
42 ·2742 ·27
43 ·28 
44 ·29·template·<class·B> 
45 30·struct·MonomialEvaluator 
46 ·31·{ 
47 32·typedef·B·Basis; 
48 33·typedef·typename·Basis::Field·Field; 
49 34·typedef·typename·Basis::DomainVector·DomainVector; 
50 35·static·const·int·dimension·=·Basis::dimension; 
51 36·static·const·int·dimRange·=·Basis::dimRange; 
52 ·37 
53 38·typedef·std::vector<Field>·Container; 
54 ·39 
55 ·40·template<·class·Deriv·> 
56 ·41·struct·BaseIterator;43 ·28·//·compute·P1·interpolation·coefficients
 44 ·29·std::vector<C>·p1Interpolation(dim+1);
 45 ·30
 46 ·31·//·vertex·0
 47 ·32·for·(int·i=0;·i<dim;·i++)
 48 ·33·x[i]·=·0;
 49 ·34·p1Interpolation[0]·=·f(x);
 50 ·35
 51 ·36·//·remaining·vertices
 52 ·37·for·(int·i=0;·i<dim;·i++)·{
 53 ·38·for·(int·j=0;·j<dim;·j++)
 54 ·39·x[j]·=·(i==j);
 55 ·40
 56 ·41·p1Interpolation[i+1]·=·f(x);
57 ·4257 ·42
 58 ·43·}
 59 ·44
 60 ·45·//·compute·dual·coefficients·from·the·Lagrange·ones
 61 ·46·out.resize(dim+1);
 62 ·47·for·(int·i=0;·i<dim+1;·i++)·{
 63 ·48·out[i]·=·2*p1Interpolation[i]/(dim+2-faceDual);
58 ·43·template·<unsigned·int·deriv> 
59 44·struct·Iterator 
60 ·45·{ 
61 46·typedef 
62 BaseIterator<Derivatives<Field,dimension,dimRange,deriv,DerivativeLayoutNS:: 
63 derivative>·>·All; 
64 47·typedef·BaseIterator<Derivatives<Field,dimension,1,0,DerivativeLayoutNS:: 
65 value>·>·Integrate; 
66 ·48·}; 
67 ·4964 ·49
68 50·unsigned·int·size()·const 
69 ·51·{ 
70 ·52·return·size_;65 ·50·for·(int·j=0;·j<i;·j++)
 66 ·51·out[i]·+=·p1Interpolation[j]/(dim+2-faceDual);
 67 ·52
 68 ·53·for·(int·j=i+1;·j<=dim;·j++)
 69 ·54·out[i]·+=·p1Interpolation[j]/(dim+2-faceDual);
71 ·53·}70 ·55·}
72 ·54 
73 ·55·protected: 
74 56·MonomialEvaluator(const·Basis·&basis,unsigned·int·order,unsigned·int·size) 
75 ·57·:·basis_(basis), 
76 ·58·order_(order), 
77 ·59·size_(size), 
78 ·60·container_(0) 
79 ·61·{} 
80 ·62·template·<int·deriv> 
81 63·void·resize() 
82 ·64·{ 
83 ·65·const·int·totalSize·= 
84 Derivatives<Field,dimension,dimRange,deriv,DerivativeLayoutNS::derivative>:: 
85 size*size_; 
86 ·66·container_.resize(totalSize); 
87 ·67·}71 ·56·}
 72 ·57
 73 ·58·};
88 68·MonomialEvaluator(const·MonomialEvaluator&); 
89 69·const·Basis·&basis_; 
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13 Classes·|·Namespaces14 Classes·|·Namespaces
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19 ·Classes20 ·Classes
20 ·class· Dune::DGLocalCoefficients21 class· Dune::DualP1LocalCoefficients<_dim_>
 22  ······Local·coefficients·for·dual·simplex·P1·elements.·More...
21  ·······A·class·providing·local·coefficients·for·dg·spaces.·More... 
22   
23 struct· Dune::DGLocalCoefficientsFactory<_BasisFactory_> 
24  ·······A·factory·class·for·the·dg·local·coefficients.·More... 
25  23  
26 ·Namespaces24 ·Namespaces
27 namespace· Dune25 namespace· Dune
28  26  
  
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7 Loading...7 Loading...
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13 dglocalcoefficients.hh14 dualp1localcoefficients.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_DGLOCALCOEFFICIENTS_HH21 ·5#ifndef·DUNE_DUAL_P1_LOCALCOEFFICIENTS_HH
21 ·6#define·DUNE_DGLOCALCOEFFICIENTS_HH22 ·6#define·DUNE_DUAL_P1_LOCALCOEFFICIENTS_HH
22 ·723 ·7
23 ·8#include·<cassert>24 ·8#include·<cstddef>
24 ·9#include·<vector>25 ·9#include·<vector>
25 ·1026 ·10
26 ·11#include·<dune/localfunctions/common/localkey.hh>27 ·11#include·<dune/localfunctions/common/localkey.hh>
27 ·1228 ·12
28 ·13namespace·Dune29 ·13namespace·Dune
29 ·14{30 ·14{
30 ·1531 ·15
 32 ·21·template·<int·dim>
31 ·16·//·DGLocalCoefficients 
32 ·17·//·------------------- 
33 ·18 
34 22·class·DGLocalCoefficients33 22·class·DualP1LocalCoefficients
35 ·23·{34 ·23·{
36 ·24·typedef·DGLocalCoefficients·This; 
37 ·25 
38 ·26·public:35 ·24·public:
 36 26·DualP1LocalCoefficients·()·:·li(size())
39 28·DGLocalCoefficients·(·const·unsigned·int·n·) 
40 ·29·:·localKey_(·n·) 
41 ·30·{ 
42 ·31·for(·unsigned·i·=·0;·i·<·n;·++i·) 
43 ·32·localKey_[·i·]·=·LocalKey(·0,·0,·i·); 
44 ·33·} 
45 ·34 
46 35·const·LocalKey·&localKey·(·const·unsigned·int·i·)·const 
47 ·36·{ 
48 ·37·assert(·i·<·size()·); 
49 ·38·return·localKey_[·i·]; 
50 ·39·} 
51 ·40 
52 41·unsigned·int·size·()·const 
53 ·42·{37 ·27·{
54 ·43·return·localKey_.size();38 ·28·for·(std::size_t·i=0;·i<size();·i++)
 39 ·29·li[i]·=·LocalKey(i,dim,0);
 40 ·30·}
 41 ·31
 42 33·std::size_t·size·()·const
 43 ·34·{
 44 ·35·return·dim+1;
 45 ·36·}
 46 ·37
 47 39·const·LocalKey&·localKey·(std::size_t·i)·const
 48 ·40·{
 49 ·41·return·li[i];
55 ·44·}50 ·42·}
56 ·4551 ·43
57 ·46·private:52 ·44·private:
58 ·47·std::vector<·LocalKey·>·localKey_;53 ·45·std::vector<LocalKey>·li;
59 ·48·};54 ·46·};
 55 ·47
 56 ·48}
60 ·4957 ·49
 58 ·50#endif
61 ·50 
62 ·51 
63 ·52·//·DGLocalCoefficientsFactory 
64 ·53·//·-------------------------- 
65 ·57·template<·class·BasisFactory·> 
66 58·struct·DGLocalCoefficientsFactory 
67 ·59·{ 
68 60·static·const·unsigned·int·dimension·=·BasisFactory::dimension; 
69 61·typedef·typename·BasisFactory::Key·Key; 
70 62·typedef·const·DGLocalCoefficients·Object; 
71 ·63 
72 ·64·template<·GeometryType::Id·geometryId·> 
73 65·static·Object·*create·(·const·Key·&key·) 
74 ·66·{ 
75 ·67·const·typename·BasisFactory::Object·*basis 
76 ·68·=·BasisFactory::template·create<·geometryId·>(·key·); 
77 ·69·Object·*coefficients·=·new·Object(·basis->size()·); 
78 ·70·BasisFactory::release(·basis·); 
79 ·71·return·coefficients; 
80 ·72·} 
81 73·static·void·release(·Object·*object·)·{·delete·object;·} 
82 ·74·}; 
83 ·75 
84 ·76} 
85 ·77 
86 ·78#endif·//·#ifndef·DUNE_DGLOCALCOEFFICIENTS_HH 
87 localkey.hh59 localkey.hh
88 Dune60 Dune
89 Definition·bdfmcube.hh:1861 Definition·bdfmcube.hh:18
90 Dune::LocalKey62 Dune::LocalKey
91 Describe·position·of·one·degree·of·freedom.63 Describe·position·of·one·degree·of·freedom.
92 Definition·localkey.hh:2364 Definition·localkey.hh:23
93 Dune::DGLocalCoefficients65 Dune::DualP1LocalCoefficients
94 A·class·providing·local·coefficients·for·dg·spaces.66 Local·coefficients·for·dual·simplex·P1·elements.
95 Definition·dglocalcoefficients.hh:2367 Definition·dualp1localcoefficients.hh:23
96 Dune::DGLocalCoefficients::size 
97 unsigned·int·size()·const68 Dune::DualP1LocalCoefficients::DualP1LocalCoefficients
 69 DualP1LocalCoefficients()
 70 Standard·constructor.
98 Definition·dglocalcoefficients.hh:4171 Definition·dualp1localcoefficients.hh:26
99 Dune::DGLocalCoefficients::localKey72 Dune::DualP1LocalCoefficients::localKey
100 const·LocalKey·&·localKey(const·unsigned·int·i)·const73 const·LocalKey·&·localKey(std::size_t·i)·const
 74 get·i'th·index
101 Definition·dglocalcoefficients.hh:3575 Definition·dualp1localcoefficients.hh:39
 76 Dune::DualP1LocalCoefficients::size
 77 std::size_t·size()·const
 78 number·of·coefficients
102 Dune::DGLocalCoefficients::DGLocalCoefficients 
103 DGLocalCoefficients(const·unsigned·int·n) 
104 construct·local·keys·for·n·basis·functions 
105 Definition·dglocalcoefficients.hh:28 
106 Dune::DGLocalCoefficientsFactory 
107 A·factory·class·for·the·dg·local·coefficients. 
108 Definition·dglocalcoefficients.hh:59 
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10 ····*·dune10 ····*·dune
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13 Classes·|·Namespaces·|·Functions13 Classes·|·Namespaces
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16 #include·<ostream>15 #include·<array>
17 #include·<dune/common/fvector.hh>16 #include·<dune/common/fvector.hh>
18 #include·<dune/localfunctions/utility/field.hh>17 #include·<dune/common/fmatrix.hh>
 18 #include·<dune/geometry/type.hh>
 19 #include·<dune/geometry/referenceelements.hh>
 20 #include·<dune/geometry/quadraturerules.hh>
 21 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 22 #include·<dune/localfunctions/lagrange/lagrangecube.hh>
 23 #include·"dualq1/dualq1localbasis.hh"
 24 #include·"dualq1/dualq1localcoefficients.hh"
 25 #include·"dualq1/dualq1localinterpolation.hh"
19 Go_to_the_source_code_of_this_file.26 Go_to_the_source_code_of_this_file.
20 ·Classes27 ·Classes
 28 class· Dune::DualQ1LocalFiniteElement<_D,_R,_dim,_faceDual_>
 29  ······The·local·dual·Q1·finite·element·on·cubes.·More...
21 ·class· Dune::MultiIndex<_dim,_Field_> 
22   
23 struct· Dune::Unity<_MultiIndex<_dim,_F_>_> 
24   
25 struct· Dune::Zero<_MultiIndex<_dim,_F_>_> 
26  30  
27 ·Namespaces31 ·Namespaces
28 namespace· Dune32 namespace· Dune
29  33  
30 ·Functions 
31 template<int·dim,·class·Field·> 
32 ··········std::ostream·& Dune::operator<<·(std::ostream·&,·const·MultiIndex< 
33 ··························dim,·Field·>·&) 
34   
35 template<int·dim,·class·Field·,·class·F·> 
36 MultiIndex<·dim,·Field·> Dune::operator*·(const·F·&f,·const·MultiIndex<·dim, 
37 ··························Field·>·&m) 
38   
39 template<int·dim,·class·Field·,·class·F·> 
40 MultiIndex<·dim,·Field·> Dune::operator/·(const·F·&f,·const·MultiIndex<·dim, 
41 ··························Field·>·&m) 
42   
43 template<int·d,·class·F·> 
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45 ··························vector<·MultiIndex<·d,·F·>·>·&y) 
46   
47 template<int·d,·class·F·,·int·dimR> 
48 ··········std::ostream·& Dune::operator<<·(std::ostream·&out,·const·std:: 
49 ··························vector<·Dune::FieldVector<·MultiIndex<·d,·F·>,·dimR·> 
50 ··························>·&y) 
51   
52 template<int·d,·class·F·,·int·dimR1,·int·dimR2> 
53 ··········std::ostream·& Dune::operator<<·(std::ostream·&out,·const·std:: 
54 ··························vector<·Dune::FieldMatrix<·MultiIndex<·d,·F·>,·dimR1, 
55 ··························dimR2·>·>·&y) 
56   
57 template<int·d,·class·F·> 
58 ··········std::ostream·& Dune::operator<<·(std::ostream·&out,·const 
59 ··························MultiIndex<·d,·F·>·&val) 
60   
61 template<int·dim,·class·Field·> 
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63 ··························>·&,·const·MultiIndex<·dim,·Field·>·&) 
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66 ····················bool Dune::operator<·(const·MultiIndex<·dim,·Field·>·&f, 
67 ··························const·Zero<·MultiIndex<·dim,·Field·>·>·&) 
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
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13 multiindex.hh12 ····*·dualmortarbasis
 13 dualq1.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
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20 ·5#ifndef·DUNE_MULTIINDEX_HH 
21 ·6#define·DUNE_MULTIINDEX_HH20 ·5#ifndef·DUNE_DUAL_Q1_LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_DUAL_Q1_LOCALFINITEELEMENT_HH
22 ·722 ·7
23 ·8#include·<vector>23 ·8#include·<array>
 24 ·9
24 ·9#include·<ostream> 
25 ·10 
26 ·11#include·<dune/common/fvector.hh>25 ·10#include·<dune/common/fvector.hh>
 26 ·11#include·<dune/common/fmatrix.hh>
27 ·1227 ·12
28 ·13#include·<dune/localfunctions/utility/field.hh> 
29 ·1428 ·13#include·<dune/geometry/type.hh>
 29 ·14#include·<dune/geometry/referenceelements.hh>
 30 ·15#include·<dune/geometry/quadraturerules.hh>
 31 ·16
 32 ·17#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 33 ·18#include·<dune/localfunctions/lagrange/lagrangecube.hh>
 34 ·19#include·"dualq1/dualq1localbasis.hh"
 35 ·20#include·"dualq1/dualq1localcoefficients.hh"
 36 ·21#include·"dualq1/dualq1localinterpolation.hh"
 37 ·22
30 ·15namespace·Dune38 ·23namespace·Dune
 39 ·24{
 40 ·40·template<class·D,·class·R,·int·dim,·bool·faceDual=false>
 41 41·class·DualQ1LocalFiniteElement
 42 ·42·{
31 ·16{ 
32 ·17·/**************************************************************** 
33 ·18·*·Provide·a·Field·class·which·can·be·used·in·evaluation·methods 
34 ·19·*·to·produce·MultiIndex·presentation·of·polynomials. 
35 ·20·****************************************************************/ 
36 ·21·//·Internal·Forward·Declarations 
37 ·22·//·----------------------------- 
38 ·23 
39 ·24·template<·int·dim,·class·Field·> 
40 ·25·class·MultiIndex; 
41 ·26 
42 ·27·template<·int·dim,·class·Field·> 
43 28·std::ostream·&operator<<(·std::ostream·&,·const·MultiIndex<_dim,Field_>·&·); 
44 ·29 
45 ·30 
46 ·31 
47 ·32·//·MultiIndex 
48 ·33·//·---------- 
49 ·34 
50 ·35·template<·int·dim,class·Field·> 
51 36·class·MultiIndex 
52 ·37·{ 
53 ·38·typedef·MultiIndex<_dim,_Field_>·This; 
54 ·39 
55 40·friend·std::ostream·&operator<<<>·(·std::ostream·&,·const·This·&·); 
56 ·41 
57 ·42·public:43 ·43·public:
 44 ·46·typedef
 45 LocalFiniteElementTraits<DualQ1LocalBasis<D,R,dim>,DualQ1LocalCoefficients<dim>,
 46 47·DualQ1LocalInterpolation<dim,DualQ1LocalBasis<D,R,dim>·>·>·Traits;
 47 ·48
 48 51·DualQ1LocalFiniteElement·()
 49 ·52·{
 50 ·53·if·(faceDual)
 51 ·54·setupFaceDualCoefficients();
 52 ·55·else
 53 ·56·setupDualCoefficients();
58 43·static·const·int·dimension·=·dim; 
59 ·44 
60 45·MultiIndex·() 
61 ·46·:·vecZ_(·0·), 
62 ·47·vecOMZ_(·0·), 
63 ·48·factor_(·1.·), 
64 ·49·next_(·0·) 
65 ·50·{} 
66 ·51·template·<class·F> 
67 52·explicit·MultiIndex·(const·F·&f) 
68 ·53·:·vecZ_(·0·), 
69 ·54·vecOMZ_(·0·), 
70 ·55·factor_(·field_cast<Field>(f)·), 
71 ·56·next_(·0·) 
72 ·57·{}54 ·57·}
73 ·5855 ·58
 56 61·const·typename·Traits::LocalBasisType&·localBasis·()·const
74 59·MultiIndex·(·int,·const·This·&other·) 
75 ·60·:·vecZ_(·other.vecOMZ_·), 
76 ·61·vecOMZ_(·other.vecZ_·), 
77 ·62·factor_(·other.factor_·) 
78 ·63·{57 ·62·{
 58 ·63·return·basis;
79 ·64·assert(!other.next_); 
80 ·65·if·(other.next_) 
81 ·66·{ 
82 ·67·next_·=·new·This(·*(other.next_)·); 
83 ·68·}59 ·64·}
84 ·69·else 
85 ·70·next_·=·0;60 ·65
 61 68·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 62 ·69·{
 63 ·70·return·coefficients;
86 ·71·}64 ·71·}
87 ·7265 ·72
 66 75·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
88 73·MultiIndex·(·const·This·&other·) 
89 ·74·:·vecZ_(·other.vecZ_·), 
90 ·75·vecOMZ_(·other.vecOMZ_·), 
91 ·76·factor_(·other.factor_·) 
92 ·77·{67 ·76·{
 68 ·77·return·interpolation;
93 ·78·if·(other.next_) 
94 ·79·{ 
95 ·80·next_·=·new·This(·*(other.next_)·); 
96 ·81·}69 ·78·}
97 ·82·else 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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10 ····*·dune10 ····*·dune
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 14 dualp1.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
 16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 17 #include·"dualp1/dualp1localbasis.hh"
 18 #include·"dualp1/dualp1localcoefficients.hh"
 19 #include·"dualp1/dualp1localinterpolation.hh"
14 coeffmatrix.hh·File·Reference 
15 #include·<cassert> 
16 #include·<iostream> 
17 #include·<vector> 
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/localfunctions/utility/field.hh> 
20 #include·<dune/localfunctions/utility/tensor.hh> 
21 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
22 ·Classes21 ·Classes
 22 class· Dune::DualP1LocalFiniteElement<_D,_R,_dim,_faceDual_>
 23  ······The·local·dual·p1·finite·element·on·simplices.·More...
23 struct· Dune::Mult<_Field,_Field2_> 
24   
25 struct· Dune::Mult<_Field,_FieldVector<_Field2,_dimRange_>_> 
26   
27 ·class· Dune::SparseCoeffMatrix<_F,_bSize_> 
28  24  
29 ·Namespaces25 ·Namespaces
30 namespace· Dune26 namespace· Dune
31  27  
  
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 13 dualp1.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_COEFFMATRIX_HH 
21 ·6#define·DUNE_COEFFMATRIX_HH 
22 ·7#include·<cassert> 
23 ·8#include·<iostream> 
24 ·9#include·<vector> 
25 ·10#include·<dune/common/fvector.hh> 
26 ·11#include·<dune/localfunctions/utility/field.hh> 
27 ·12#include·<dune/localfunctions/utility/tensor.hh> 
28 ·1320 ·5#ifndef·DUNE_LOCALFUNCTIONS_DUALMORTARBASIS_DUALP1_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_DUALMORTARBASIS_DUALP1_HH
 22 ·7
 23 ·8#include·<dune/geometry/type.hh>
 24 ·9
 25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 26 ·11#include·"dualp1/dualp1localbasis.hh"
 27 ·12#include·"dualp1/dualp1localcoefficients.hh"
 28 ·13#include·"dualp1/dualp1localinterpolation.hh"
 29 ·14
29 ·14namespace·Dune30 ·15namespace·Dune
30 ·15{31 ·16{
 32 ·17
 33 ·33·template<class·D,·class·R,·int·dim,·bool·faceDual=false>
 34 34·class·DualP1LocalFiniteElement
31 ·16·/************************************************* 
32 ·17·*·Default·class·for·storing·a·coefficient·matrix 
33 ·18·*·for·the·PolynomialBasis.·Basically·a·simple 
34 ·19·*·CRS·structure·is·used.·The·additional·complexity 
35 ·20·*·is·due·to·the·storage·and·efficient·evaluation 
36 ·21·*·of·higher·order·derivatives.·See·the·remarks 
37 ·22·*·in·tensor.hh·which·also·hold·true·for·this·file. 
38 ·23·*************************************************/ 
39 ·24·template·<class·Field,·class·Field2> 
40 25·struct·Mult 
41 ·26·{ 
42 27·typedef·Field2·BasisEntry; 
43 28·static·void·add(const·Field·&vec1,·const·BasisEntry·&vec2, 
44 ·29·BasisEntry·&res) 
45 ·30·{35 ·35·{
46 ·31·res·+=·vec1*vec2; 
47 ·32·} 
48 ·33·}; 
49 ·34 
50 ·35·template·<class·Field,class·Field2,·int·dimRange> 
51 36·struct·Mult<·Field,FieldVector<Field2,dimRange>·> 
52 ·37·{ 
53 38·typedef·FieldVector<Field2,dimRange>·BasisEntry; 
54 39·static·void·add(const·Field·&vec1,·const·BasisEntry·&vec2, 
55 ·40·BasisEntry·&res) 
56 ·41·{ 
57 ·42·res.axpy(vec1,vec2); 
58 ·43·} 
59 ·44·}; 
60 ·45 
61 ·46·template<·class·F·,·unsigned·int·bSize·> 
62 47·class·SparseCoeffMatrix 
63 ·48·{ 
64 ·49·public:36 ·36·public:
65 50·typedef·F·Field; 
66 51·static·const·unsigned·int·blockSize·=·bSize; 
67 52·typedef·SparseCoeffMatrix<Field,blockSize>·This;37 ·39·typedef
 38 LocalFiniteElementTraits<DualP1LocalBasis<D,R,dim,faceDual>,DualP1LocalCoefficients<dim>,
 39 40·DualP1LocalInterpolation<dim,DualP1LocalBasis<D,R,dim,faceDual>·>·>·Traits;
 40 ·41
 41 44·DualP1LocalFiniteElement·()
 42 ·45·{}
 43 ·46
 44 49·const·typename·Traits::LocalBasisType&·localBasis·()·const
 45 ·50·{
 46 ·51·return·basis;
 47 ·52·}
68 ·5348 ·53
 49 56·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 50 ·57·{
 51 ·58·return·coefficients;
 52 ·59·}
 53 ·60
 54 63·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
69 54·SparseCoeffMatrix() 
70 ·55·:·coeff_(0), 
71 ·56·rows_(0), 
72 ·57·skip_(0), 
73 ·58·numRows_(0), 
74 ·59·numCols_(0) 
75 ·60·{} 
76 ·61 
77 62·~SparseCoeffMatrix() 
78 ·63·{55 ·64·{
 56 ·65·return·interpolation;
79 ·64·delete·[]·coeff_; 
80 ·65·delete·[]·rows_; 
81 ·66·delete·[]·skip_; 
82 ·67·}57 ·66·}
83 ·6858 ·67
84 69·unsigned·int·size·()·const59 69·unsigned·int·size·()·const
85 ·70·{60 ·70·{
86 ·71·return·numRows_/blockSize;61 ·71·return·basis.size();
87 ·72·}62 ·72·}
88 73·unsigned·int·baseSize·()·const63 ·73
 64 76·static·constexpr·GeometryType·type·()
89 ·74·{65 ·77·{
90 ·75·return·numCols_;66 ·78·return·GeometryTypes::simplex(dim);
91 ·76·}67 ·79·}
 68 ·80
92 ·77 
93 ·78·template<·class·BasisIterator,·class·FF> 
94 79·void·mult·(·const·BasisIterator·&x, 
95 ·80·unsigned·int·numLsg, 
96 ·81·FF·*y·)·const 
97 ·82·{ 
98 ·83·typedef·typename·BasisIterator::Derivatives·XDerivatives; 
99 ·84·assert(·numLsg*blockSize·<=·(size_t)numRows_·); 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·orthonormal12 ····*·dualmortarbasis
 13 ····*·dualq1
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 orthonormalbasis.hh·File·Reference15 dualq1localinterpolation.hh·File·Reference
15 #include·<sstream>16 #include·<array>
16 #include·<dune/localfunctions/utility/polynomialbasis.hh> 
17 #include·<dune/localfunctions/orthonormal/orthonormalcompute.hh>17 #include·<vector>
 18 #include·<dune/common/fvector.hh>
 19 #include·<dune/common/fmatrix.hh>
 20 #include·<dune/localfunctions/common/localinterpolation.hh>
18 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
19 ·Classes22 ·Classes
 23 class· Dune::DualQ1LocalInterpolation<_dim,_LB_>
20 struct· Dune::OrthonormalBasisFactory<_dim,_SF,_CF_> 
21   
22 struct· Dune::OrthonormalBasisFactory<_dim,_SF,_CF_>::EvaluationBasisFactory< 
23 ·········dd,_FF_> 
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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2 <html·xmlns="http://www.w3.org/1999/xhtml"·lang="en-US">2 <html·xmlns="http://www.w3.org/1999/xhtml"·lang="en-US">
3 <head>3 <head>
4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>
5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>
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8 <title>dune-localfunctions:·orthonormalbasis.hh·Source·File</title>8 <title>dune-localfunctions:·dualq1localinterpolation.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·orthonormal 
13 orthonormalbasis.hh12 ····*·dualmortarbasis
 13 ····*·dualq1
 14 dualq1localinterpolation.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_ORTHONORMALBASIS_HH 
21 ·6#define·DUNE_ORTHONORMALBASIS_HH21 ·5#ifndef·DUNE_DUAL_Q1_LOCALINTERPOLATION_HH
 22 ·6#define·DUNE_DUAL_Q1_LOCALINTERPOLATION_HH
22 ·723 ·7
23 ·8#include·<sstream>24 ·8#include·<array>
24 ·9 
25 ·10#include·<dune/localfunctions/utility/polynomialbasis.hh> 
26 ·11#include·<dune/localfunctions/orthonormal/orthonormalcompute.hh> 
27 ·1225 ·9#include·<vector>
 26 ·10
 27 ·11#include·<dune/common/fvector.hh>
 28 ·12#include·<dune/common/fmatrix.hh>
 29 ·13#include·<dune/localfunctions/common/localinterpolation.hh>
 30 ·14
28 ·13namespace·Dune31 ·15namespace·Dune
29 ·14{32 ·16{
 33 ·17
 34 ·19·template<int·dim,·class·LB>
 35 20·class·DualQ1LocalInterpolation
30 ·15 
31 ·16·//·OrthonormalBasisFactory 
32 ·17·//·----------------------- 
33 ·18·template<·int·dim,·class·SF,·class·CF·=·typename·ComputeField<·SF,·512·>:: 
34 Type·> 
35 19·struct·OrthonormalBasisFactory 
36 ·20·{36 ·21·{
 37 ·22·public:
 38 ·23
 39 24·void·setCoefficients(const·std::array<Dune::FieldVector<typename·LB::
 40 Traits::RangeFieldType,·(1<<dim)>·,(1<<dim)>&·coefficients)
37 21·static·const·unsigned·int·dimension·=·dim; 
38 22·typedef·SF·StorageField; 
39 23·typedef·CF·ComputeField; 
40 ·24 
41 ·25·template·<unsigned·int·dd,·class·FF> 
42 26·struct·EvaluationBasisFactory 
43 ·27·{41 ·25·{
44 28·typedef·MonomialBasisProvider<dd,FF>·Type; 
45 ·29·}; 
46 ·30 
47 31·typedef·typename·EvaluationBasisFactory<_dimension,_StorageField_>::Type 
48 MonomialBasisProviderType; 
49 32·typedef·typename·MonomialBasisProviderType::Object·MonomialBasisType;42 ·26·coefficients_·=·coefficients;
 43 ·27·}
 44 ·28
 45 ·29
 46 ·31·template<typename·F,·typename·C>
 47 32·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
50 ·3348 ·33·{
51 34·typedef·SparseCoeffMatrix<_StorageField,_1_>·CoefficientMatrix; 
52 35·typedef·StandardEvaluator<_MonomialBasisType_>·Evaluator; 
53 36·typedef·PolynomialBasis<_Evaluator,_CoefficientMatrix_>·Basis;49 ·34·typename·LB::Traits::DomainType·x;
 50 ·35
 51 ·36·auto&&·f·=·Impl::makeFunctionWithCallOperator<decltype(x)>(ff);
54 ·3752 ·37
55 38·typedef·unsigned·int·Key; 
56 39·typedef·const·Basis·Object; 
57 ·40 
58 41·static·constexpr·GeometryType·SimplexGeometry·=·GeometryTypes::simplex(dim);53 ·38·const·int·size·=·1<<dim;
 54 ·39
 55 ·40·//·compute·Q1·interpolation·coefficients
 56 ·41·Dune::FieldVector<C,size>·q1Coefficients;
59 ·4257 ·42
 58 ·43·for·(int·i=0;·i<·(1<<dim);·i++)·{
 59 ·44
 60 ·45·//·Generate·coordinate·of·the·i-th·corner·of·the·reference·cube
 61 ·46·//·We·could·use·the·ReferenceElement·for·this·as·well,·but·it·is
 62 ·47·//·still·not·clear·how·dune-localfunctions·should·have·access·to·them.
 63 ·48·for·(int·j=0;·j<dim;·j++)
 64 ·49·x[j]·=·(i·&·(1<<j))·?·1.0·:·0.0;
60 ·43·template<·GeometryType::Id·geometryId·> 
61 44·static·Object·*create·(·const·unsigned·int·order·) 
62 ·45·{ 
63 ·46·const·MonomialBasisType·&monomialBasis·=·*MonomialBasisProviderType:: 
64 template·create<·SimplexGeometry·>(·order·); 
65 ·47 
66 ·48·static·CoefficientMatrix·_coeffs; 
67 ·49·if(·_coeffs.size()·<=·monomialBasis.size()·) 
68 ·50·{65 ·50
69 ·51·ONBCompute::ONBMatrix<_geometryId,_ComputeField_>·matrix(·order·); 
70 ·52·_coeffs.fill(·matrix·);66 ·51·q1Coefficients[i]·=·f(x);
 67 ·52
71 ·53·}68 ·53·}
72 ·5469 ·54
73 ·55·return·new·Basis(·monomialBasis,·_coeffs,·monomialBasis.size()·);70 ·55·out.resize(size);
74 ·56·}71 ·56
75 57·static·void·release(·Object·*object·)·{·delete·object;·} 
76 ·58·};72 ·57·//·solve·a·linear·system·to·compute·the·dual·coefficients
 73 ·58·Dune::FieldMatrix<C,size,size>·mat;
77 ·5974 ·59
78 ·60} 
79 ·61 
80 ·62#endif·//·#ifndef·DUNE_ORTHONORMALBASIS_HH 
81 polynomialbasis.hh 
82 orthonormalcompute.hh75 ·60·for·(int·i=0;·i<size;·i++)
 76 ·61·for·(int·j=0;·j<size;·j++)
 77 ·62·mat[i][j]·=·coefficients_[j][i];
 78 ·63
 79 ·64·//·now·solve·for·the·weights
 80 ·65·Dune::FieldVector<C,size>·sol(0);
 81 ·66
 82 ·67·mat.solve(sol,q1Coefficients);
 83 ·68
 84 ·69·//·write·result·in·out·vector
 85 ·70·for·(int·i=0;·i<size;·i++)
 86 ·71·out[i]·=·sol[i];
 87 ·72·}
 88 ·73
 89 ·74·private:
 90 ·75·std::array<Dune::FieldVector<typename·LB::Traits::RangeFieldType,·(1<<dim)>
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8 <title>dune-localfunctions:·orthonormalcompute.hh·File·Reference</title>8 <title>dune-localfunctions:·dualq1localcoefficients.hh·File·Reference</title>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·orthonormal12 ····*·dualmortarbasis
 13 ····*·dualq1
13 Classes·|·Namespaces·|·Functions14 Classes·|·Namespaces
14 orthonormalcompute.hh·File·Reference15 dualq1localcoefficients.hh·File·Reference
15 #include·<cassert>16 #include·<cstddef>
16 #include·<iostream>17 #include·<iostream>
 18 #include·<vector>
17 #include·<fstream> 
18 #include·<iomanip> 
19 #include·<utility> 
20 #include·<map> 
21 #include·<dune/common/fmatrix.hh> 
22 #include·<dune/geometry/type.hh> 
23 #include·<dune/localfunctions/utility/field.hh> 
24 #include·<dune/localfunctions/utility/lfematrix.hh> 
25 #include·<dune/localfunctions/utility/monomialbasis.hh>19 #include·<dune/localfunctions/common/localkey.hh>
26 #include·<dune/localfunctions/utility/multiindex.hh> 
27 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
28 ·Classes21 ·Classes
 22 class· Dune::DualQ1LocalCoefficients<_dim_>
 23  ······Layout·map·for·dual·Q1·elements.·More...
29 struct· ONBCompute::Integral<_geometryId_> 
30   
31 ·class· ONBCompute::ONBMatrix<_geometryId,_scalar_t_> 
32  24  
33 ·Namespaces25 ·Namespaces
 26 namespace· Dune
34 namespace· ONBCompute 
35   
36 ·Functions 
37 template<class·scalar_t·> 
38 scalar_t ONBCompute::factorial·(int·start,·int·end) 
39  27  
  
40 ===============================================================================28 ===============================================================================
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8 <title>dune-localfunctions:·orthonormalcompute.hh·Source·File</title>8 <title>dune-localfunctions:·dualq1localcoefficients.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·orthonormal 
13 orthonormalcompute.hh12 ····*·dualmortarbasis
 13 ····*·dualq1
 14 dualq1localcoefficients.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_ORTHONORMALCOMPUTE_HH 
21 ·6#define·DUNE_ORTHONORMALCOMPUTE_HH21 ·5#ifndef·DUNE_DUAL_Q1_LOCALCOEFFICIENTS_HH
 22 ·6#define·DUNE_DUAL_Q1_LOCALCOEFFICIENTS_HH
22 ·723 ·7
23 ·8#include·<cassert>24 ·8#include·<cstddef>
24 ·9#include·<iostream>25 ·9#include·<iostream>
25 ·10#include·<fstream>26 ·10#include·<vector>
26 ·11#include·<iomanip> 
27 ·12#include·<utility> 
28 ·13#include·<map> 
29 ·14 
30 ·15#include·<dune/common/fmatrix.hh>27 ·11
 28 ·12#include·<dune/localfunctions/common/localkey.hh>
 29 ·13
 30 ·14namespace·Dune
 31 ·15{
31 ·1632 ·16
 33 ·23·template·<int·dim>
 34 24·class·DualQ1LocalCoefficients
32 ·17#include·<dune/geometry/type.hh> 
33 ·18 
34 ·19#include·<dune/localfunctions/utility/field.hh> 
35 ·20#include·<dune/localfunctions/utility/lfematrix.hh> 
36 ·21#include·<dune/localfunctions/utility/monomialbasis.hh> 
37 ·22#include·<dune/localfunctions/utility/multiindex.hh> 
38 ·23 
39 24namespace·ONBCompute 
40 ·25{35 ·25·{
 36 ·26·public:
 37 28·DualQ1LocalCoefficients·()·:·li(1<<dim)
41 ·26 
42 ·27·template<·class·scalar_t·> 
43 28·scalar_t·factorial(·int·start,·int·end·) 
44 ·29·{38 ·29·{
 39 ·30·for·(std::size_t·i=0;·i<(1<<dim);·i++)
 40 ·31·li[i]·=·LocalKey(i,dim,0);
45 ·30·scalar_t·ret(·1·); 
46 ·31·for(·int·j·=·start;·j·<=·end;·++j·) 
47 ·32·ret·*=·scalar_t(·j·); 
48 ·33·return·ret; 
49 ·34·} 
50 ·35 
51 ·36 
52 ·37 
53 ·38·//·Integral 
54 ·39·//·-------- 
55 ·40 
56 ·41·template<·Dune::GeometryType::Id·geometryId·> 
57 42·struct·Integral 
58 ·43·{ 
59 44·static·constexpr·Dune::GeometryType·geometry·=·geometryId; 
60 45·static·constexpr·int·dimension·=·geometry.dim(); 
61 ·46 
62 ·47·template<·int·dim,·class·scalar_t·> 
63 48·static·int·compute·(·const·Dune::MultiIndex<_dim,_scalar_t_>·&alpha, 
64 ·49·scalar_t·&p,·scalar_t·&q·) 
65 ·50·{ 
66 ·51·return·compute(alpha,·p,·q,·std::make_integer_sequence<int,dimension>{}); 
67 ·52·} 
68 ·53 
69 ·54·template<·int·dim,·class·scalar_t·,·int·...ints> 
70 55·static·int·compute·(·const·Dune::MultiIndex<_dim,_scalar_t_>·&alpha, 
71 ·56·scalar_t·&p,·scalar_t·&q,·std::integer_sequence<int,ints...>·intS) 
72 ·57·{ 
73 ·58·p·=·scalar_t(·1·); 
74 ·59·q·=·scalar_t(·1·); 
75 ·60 
76 ·61·int·ord·=·0; 
77 ·62·((computeIntegral<ints>(alpha,p,q,ord)),...); 
78 ·63 
79 ·64·return·ord; 
80 ·65·} 
81 ·66 
82 ·67·template<·int·step,·int·dim,·class·scalar_t·> 
83 68·static·void·computeIntegral·(·const·Dune::MultiIndex<_dim,_scalar_t_> 
84 &alpha, 
85 ·69·scalar_t·&p,·scalar_t·&q,·int&·ord) 
86 ·70·{ 
87 ·71·int·i·=·alpha.z(·step·); 
88 ·72 
89 ·73·if·constexpr·(·geometry.isPrismatic(step)) 
90 ·74·{ 
91 ·75·//p·*=·scalar_t(·1·); 
92 ·76·q·*=·scalar_t(·i+1·); 
93 ·77·} 
94 ·78·else 
95 ·79·{ 
96 ·80·p·*=·factorial<·scalar_t·>(·1,·i·); 
97 ·81·q·*=·factorial<·scalar_t·>(·step+1·+·ord,·step+1·+·ord·+·i·); 
98 ·82·} 
99 ·83·ord·+=i; 
100 ·84·} 
101 ·85 
102 ·86·}; 
103 ·87 
104 ·88 
105 ·89·//·ONBMatrix 
106 ·90·//·--------- 
107 ·91 
108 ·92·template<·Dune::GeometryType::Id·geometryId,·class·scalar_t·> 
109 93·class·ONBMatrix 
110 ·94·:·public·Dune::LFEMatrix<·scalar_t·> 
111 ·95·{ 
112 ·96·typedef·ONBMatrix<_geometryId,_scalar_t_>·This; 
113 ·97·typedef·Dune::LFEMatrix<_scalar_t_>·Base; 
114 ·98 
115 ·99·public: 
116 100·typedef·std::vector<·scalar_t·>·vec_t; 
117 101·typedef·Dune::LFEMatrix<_scalar_t_>·mat_t; 
118 ·102 
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 13 ····*·dualq1
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 lagrangebasis.hh·File·Reference15 dualq1localbasis.hh·File·Reference
15 #include·<fstream>16 #include·<array>
 17 #include·<numeric>
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17 #include·<dune/localfunctions/utility/defaultbasisfactory.hh>19 #include·<dune/common/fmatrix.hh>
18 #include·<dune/localfunctions/utility/monomialbasis.hh>20 #include·<dune/localfunctions/common/localbasis.hh>
19 #include·<dune/localfunctions/lagrange/interpolation.hh> 
20 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
21 ·Classes22 ·Classes
22 struct· Dune::LagrangeBasisFactory<_LP,_dim,_SF,_CF_>23 class· Dune::DualQ1LocalBasis<_D,_R,_dim_>
 24  ······Dual·Lagrange·shape·functions·of·order·1·on·the·reference·cube.·More...
23  25  
24 ·Namespaces26 ·Namespaces
25 namespace· Dune27 namespace· Dune
26  28  
  
27 ===============================================================================29 ===============================================================================
28 ·····Generated·by [doxygen]·1.9.830 ·····Generated·by [doxygen]·1.9.8
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 lagrangebasis.hh12 ····*·dualmortarbasis
 13 ····*·dualq1
 14 dualq1localbasis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LAGRANGEBASIS_HH 
21 ·6#define·DUNE_LAGRANGEBASIS_HH21 ·5#ifndef·DUNE_DUAL_Q1_LOCALBASIS_HH
 22 ·6#define·DUNE_DUAL_Q1_LOCALBASIS_HH
22 ·723 ·7
23 ·8#include·<fstream>24 ·8#include·<array>
24 ·9#include·<dune/common/exceptions.hh>25 ·9#include·<numeric>
25 ·1026 ·10
26 ·11#include·<dune/localfunctions/utility/defaultbasisfactory.hh> 
27 ·12#include·<dune/localfunctions/utility/monomialbasis.hh>27 ·11#include·<dune/common/fvector.hh>
 28 ·12#include·<dune/common/fmatrix.hh>
28 ·1329 ·13
29 ·14#include·<dune/localfunctions/lagrange/interpolation.hh>30 ·14#include·<dune/localfunctions/common/localbasis.hh>
30 ·1531 ·15
31 ·16namespace·Dune32 ·16namespace·Dune
32 ·17{33 ·17{
 34 ·27·template<class·D,·class·R,·int·dim>
 35 28·class·DualQ1LocalBasis
 36 ·29·{
 37 ·30·public:
 38 ·31·typedef·LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune::
 39 FieldVector<R,1>,
 40 32·Dune::FieldMatrix<R,1,dim>·>·Traits;
 41 ·33
 42 34·void·setCoefficients(const·std::array<Dune::FieldVector<R,·(1<<dim)>·,
 43 (1<<dim)>&·coefficients)
 44 ·35·{
 45 ·36·coefficients_·=·coefficients;
 46 ·37·}
 47 ·38
 48 40·unsigned·int·size·()·const
 49 ·41·{
 50 ·42·return·1<<dim;
 51 ·43·}
 52 ·44
 53 46·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 54 ·47·std::vector<typename·Traits::RangeType>&·out)·const
 55 ·48·{
 56 ·49·//·compute·q1·values
 57 ·50·std::vector<typename·Traits::RangeType>·q1Values(size());
 58 ·51
 59 ·52·for·(size_t·i=0;·i<size();·i++)·{
 60 ·53
 61 ·54·q1Values[i]·=·1;
 62 ·55
 63 ·56·for·(int·j=0;·j<dim;·j++)
 64 ·57·//·if·j-th·bit·of·i·is·set·multiply·with·in[j],·else·with·1-in[j]
 65 ·58·q1Values[i]·*=·(i·&·(1<<j))·?·in[j]·:·1-in[j];
 66 ·59
 67 ·60·}
 68 ·61
 69 ·62·//·compute·the·dual·values·by·using·that·they·are·linear·combinations·of·q1
 70 functions
 71 ·63·out.resize(size());
 72 ·64·for·(size_t·i=0;·i<size();·i++)
 73 ·65·out[i]·=·0;
 74 ·66
 75 ·67·for·(size_t·i=0;·i<size();·i++)
 76 ·68·for·(size_t·j=0;·j<size();·j++)
 77 ·69·out[i]·+=·coefficients_[i][j]*q1Values[j];
 78 ·70
 79 ·71
 80 ·72·}
 81 ·73
 82 ·75·inline·void
 83 76·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
 84 ·77·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
 85 ·78·{
 86 ·79·//·compute·q1·jacobians
 87 ·80·std::vector<typename·Traits::JacobianType>·q1Jacs(size());
 88 ·81
 89 ·82·//·Loop·over·all·shape·functions
 90 ·83·for·(size_t·i=0;·i<size();·i++)·{
 91 ·84
 92 ·85·//·Loop·over·all·coordinate·directions
 93 ·86·for·(int·j=0;·j<dim;·j++)·{
 94 ·87
 95 ·88·//·Initialize:·the·overall·expression·is·a·product
 96 ·89·//·if·j-th·bit·of·i·is·set·to·-1,·else·1
 97 ·90·q1Jacs[i][0][j]·=·(i·&·(1<<j))·?·1·:·-1;
 98 ·91
 99 ·92·for·(int·k=0;·k<dim;·k++)·{
 100 ·93
 101 ·94·if·(j!=k)
 102 ·95·//·if·k-th·bit·of·i·is·set·multiply·with·in[j],·else·with·1-in[j]
 103 ·96·q1Jacs[i][0][j]·*=·(i·&·(1<<k))·?·in[k]·:·1-in[k];
 104 ·97
 105 ·98·}
 106 ·99
 107 ·100·}
 108 ·101
 109 ·102·}
 110 ·103
 111 ·104·//·compute·the·dual·jacobians·by·using·that·they·are·linear·combinations
 112 of·q1·functions
 113 ·105·out.resize(size());
 114 ·106·for·(size_t·i=0;·i<size();·i++)
 115 ·107·out[i]·=·0;
33 ·18116 ·108
34 ·19·template<·template·<class,unsigned·int>·class·LP, 
35 ·20·unsigned·int·dim,·class·SF,·class·CF·> 
36 21·struct·LagrangeBasisFactory 
37 ·22·:·public·DefaultBasisFactory<·MonomialBasisFactory<dim,CF>, 
38 ·23·LagrangeInterpolationFactory<LP,dim,CF>, 
39 ·24·dim,1,SF,CF·>117 ·109·for·(size_t·i=0;·i<size();·i++)
 118 ·110·for·(size_t·j=0;·j<size();·j++)
 119 ·111·out[i].axpy(coefficients_[i][j],q1Jacs[j]);
 120 ·112
 121 ·113·}
 122 ·114
 123 116·void·partial·(const·std::array<unsigned·int,·dim>&·order,
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14 lagrangesimplex.hh·File·Reference14 dualpq1factory.hh·File·Reference
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18 #include·<dune/common/fmatrix.hh> 
19 #include·<dune/common/fvector.hh> 
20 #include·<dune/common/math.hh> 
21 #include·<dune/geometry/referenceelements.hh> 
22 #include·<dune/localfunctions/common/localbasis.hh> 
23 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
24 #include·<dune/localfunctions/common/localinterpolation.hh>16 #include·<dune/localfunctions/common/virtualinterface.hh>
25 #include·<dune/localfunctions/common/localkey.hh>17 #include·<dune/localfunctions/common/virtualwrappers.hh>
 18 #include·<dune/localfunctions/dualmortarbasis.hh>
26 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
27 ·Classes20 ·Classes
 21 class· Dune::DualPQ1LocalFiniteElementCache<_D,_R,_dim,_faceDual_>
28 class· Dune::LagrangeSimplexLocalFiniteElement<_D,_R,_d,_k_> 
29  ······Lagrange·finite·element·for·simplices·with·arbitrary·compile-time 
30 ········dimension·and·polynomial·order.·More... 
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32 ·Namespaces23 ·Namespaces
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11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 lagrangesimplex.hh12 ····*·dualmortarbasis
 13 dualpq1factory.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
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20 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGESIMPLEX_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGESIMPLEX_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_DUAL_P1_Q1_FACTORY_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_DUAL_P1_Q1_FACTORY_HH
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22 ·722 ·7
23 ·8#include·<array>23 ·8#include·<map>
24 ·9#include·<numeric>24 ·9
25 ·1025 ·10#include·<dune/localfunctions/common/virtualinterface.hh>
26 ·11#include·<dune/common/deprecated.hh>26 ·11#include·<dune/localfunctions/common/virtualwrappers.hh>
27 ·12#include·<dune/common/fmatrix.hh>27 ·12
28 ·13#include·<dune/common/fvector.hh>28 ·13#include·<dune/localfunctions/dualmortarbasis.hh>
29 ·14#include·<dune/common/math.hh>29 ·14
30 ·1530 ·15namespace·Dune·{
31 ·16#include·<dune/geometry/referenceelements.hh>31 ·16
32 ·1732 ·17template<class·D,·class·R,·int·dim,·bool·faceDual=false>
33 ·18#include·<dune/localfunctions/common/localbasis.hh>33 18class·DualPQ1LocalFiniteElementCache
34 ·19#include·<dune/localfunctions/common/localfiniteelementtraits.hh>34 ·19{
35 ·20#include·<dune/localfunctions/common/localinterpolation.hh>35 ·20protected:
36 ·21#include·<dune/localfunctions/common/localkey.hh>36 21·typedef·Dune::DualP1LocalFiniteElement<D,R,dim,faceDual>·DualP1;
37 ·2237 22·typedef·Dune::DualQ1LocalFiniteElement<D,R,dim,faceDual>·DualQ1;
38 ·23namespace·Dune·{·namespace·Impl38 23·typedef·typename·DualP1::Traits::LocalBasisType::Traits·T;
39 ·24{39 24·typedef·Dune::LocalFiniteElementVirtualInterface<T>·FE;
40 ·35·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·k>40 25·typedef·std::map<Dune::GeometryType,FE*>·FEMap;
41 ·36·class·LagrangeSimplexLocalBasis41 ·26
42 ·37·{42 ·27public:
43 ·38·public:43 29·typedef·FE·FiniteElementType;
44 ·39·using·Traits·=44 ·30
45 LocalBasisTraits<D,dim,FieldVector<D,dim>,R,1,FieldVector<R,1>,FieldMatrix<R,1,dim>45 31·~DualPQ1LocalFiniteElementCache()
46 >;46 ·32·{
47 ·4047 ·33·typename·FEMap::iterator·it·=·cache_.begin();
48 ·45·static·constexpr·unsigned·int·size·()48 ·34·typename·FEMap::iterator·end·=·cache_.end();
49 ·46·{49 ·35·for(;·it!=end;·++it)
50 ·47·return·binomial(k+dim,dim);50 ·36·delete·it->second;
51 ·48·}51 ·37·}
52 ·4952 ·38
53 ·51·void·evaluateFunction(const·typename·Traits::DomainType&·x,53 40·static·FE*·create(const·Dune::GeometryType&·gt)
54 ·52·std::vector<typename·Traits::RangeType>&·out)·const54 ·41·{
55 ·53·{55 ·42·if·(gt.isSimplex())
56 ·54·out.resize(size());56 ·43·return·new·Dune::LocalFiniteElementVirtualImp<DualP1>(DualP1());
57 ·5557 ·44·if·(gt.isCube())
58 ·56·//·Specialization·for·zero-order·case58 ·45·return·new·Dune::LocalFiniteElementVirtualImp<DualQ1>(DualQ1());
59 ·57·if·(k==0)59 ·46·return·0;
60 ·58·{60 ·47·}
61 ·59·out[0]·=·1;61 ·48
62 ·60·return;62 50·const·FiniteElementType&·get(const·Dune::GeometryType&·gt)·const
63 ·61·}63 ·51·{
64 ·6264 ·52·typename·FEMap::const_iterator·it·=·cache_.find(gt);
65 ·63·//·Specialization·for·first-order·case65 ·53·if·(it==cache_.end())
66 ·64·if·(k==1)66 ·54·{
67 ·65·{67 ·55·FiniteElementType*·fe·=·create(gt);
68 ·66·out[0]·=·1.0;68 ·56
69 ·67·for·(size_t·i=0;·i<dim;·i++)69 ·57·if·(fe==0)
70 ·68·{70 ·58·DUNE_THROW(Dune::NotImplemented,"No·Dual·P/Q1·like·local·finite·element
71 ·69·out[0]·-=·x[i];71 available·for·geometry·type·"·<<·gt);
72 ·70·out[i+1]·=·x[i];72 ·59
73 ·71·}73 ·60·cache_[gt]·=·fe;
74 ·72·return;74 ·61·return·*fe;
75 ·73·}75 ·62·}
76 ·7476 ·63·return·*(it->second);
77 ·75·assert(k>=2);77 ·64·}
78 ·7678 ·65
79 ·77·auto·lagrangeNode·=·[](unsigned·int·i)·{·return·((D)i)/k;·};79 ·66protected:
80 ·7880 67·mutable·FEMap·cache_;
81 ·79·if·(dim==1)81 ·68};
82 ·80·{82 ·69
83 ·81·for·(unsigned·int·i=0;·i<size();·i++)83 ·70}·//·namespace·Dune
84 ·82·{84 ·71
85 ·83·out[i]·=·1.0;85 ·72#endif·//·DUNE_LOCALFUNCTIONS_DUAL_P1_Q1_FACTORY_HH
86 ·84·for·(unsigned·int·alpha=0;·alpha<i;·alpha++)86 virtualinterface.hh
87 ·85·out[i]·*=·(x[0]-lagrangeNode(alpha))/(lagrangeNode(i)-lagrangeNode(alpha));87 virtualwrappers.hh
88 ·86·for·(unsigned·int·gamma=i+1;·gamma<=k;·gamma++)88 dualmortarbasis.hh
89 ·87·out[i]·*=·(x[0]-lagrangeNode(gamma))/(lagrangeNode(i)-lagrangeNode(gamma)); 
90 ·88·} 
91 ·89·return; 
92 ·90·} 
93 ·91 
94 ·92·if·(dim==2) 
95 ·93·{ 
96 ·94·int·n=0; 
97 ·95·for·(unsigned·int·j=0;·j<=k;·j++) 
98 ·96·for·(unsigned·int·i=0;·i<=k-j;·i++) 
99 ·97·{ 
100 ·98·out[n]·=·1.0; 
101 ·99·for·(unsigned·int·alpha=0;·alpha<i;·alpha++) 
102 ·100·out[n]·*=·(x[0]-lagrangeNode(alpha))/(lagrangeNode(i)-lagrangeNode 
103 (alpha)); 
104 ·101·for·(unsigned·int·beta=0;·beta<j;·beta++) 
105 ·102·out[n]·*=·(x[1]-lagrangeNode(beta))/(lagrangeNode(j)-lagrangeNode(beta)); 
106 ·103·for·(unsigned·int·gamma=i+j+1;·gamma<=k;·gamma++) 
107 ·104·out[n]·*=·(lagrangeNode(gamma)-x[0]-x[1])/(lagrangeNode(gamma)- 
108 lagrangeNode(i)-lagrangeNode(j)); 
109 ·105·n++; 
110 ·106·} 
111 ·107 
112 ·108·return; 
113 ·109·} 
114 ·110 
115 ·111·if·(dim!=3) 
116 ·112·DUNE_THROW(NotImplemented,·"LagrangeSimplexLocalBasis·for·k>=2·only 
117 implemented·for·dim==1·or·dim==3"); 
118 ·113 
119 ·114·typename·Traits::DomainType·kx·=·x; 
120 ·115·kx·*=·k; 
121 ·116·unsigned·int·n·=·0; 
122 ·117·unsigned·int·i[4]; 
123 ·118·R·factor[4]; 
124 ·119·for·(i[2]·=·0;·i[2]·<=·k;·++i[2]) 
125 ·120·{ 
126 ·121·factor[2]·=·1.0; 
127 ·122·for·(unsigned·int·j·=·0;·j·<·i[2];·++j) 
128 ·123·factor[2]·*=·(kx[2]-j)·/·(i[2]-j); 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 Classes·|·Namespaces12 Classes·|·Namespaces
14 lagrangeprism.hh·File·Reference13 monomial.hh·File·Reference
15 #include·<array>14 #include·<cassert>
 15 #include·<cstddef>
 16 #include·<cstdlib>
16 #include·<numeric>17 #include·<memory>
 18 #include·<vector>
17 #include·<dune/common/fmatrix.hh> 
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/common/math.hh> 
20 #include·<dune/geometry/referenceelements.hh>19 #include·<dune/geometry/type.hh>
21 #include·<dune/localfunctions/common/localbasis.hh> 
22 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>20 #include·"common/localfiniteelementtraits.hh"
23 #include·<dune/localfunctions/common/localinterpolation.hh> 
24 #include·<dune/localfunctions/common/localkey.hh>21 #include·"common/localtoglobaladaptors.hh"
 22 #include·"monomial/monomiallocalbasis.hh"
 23 #include·"monomial/monomiallocalcoefficients.hh"
 24 #include·"monomial/monomiallocalinterpolation.hh"
25 Go_to_the_source_code_of_this_file.25 Go_to_the_source_code_of_this_file.
26 ·Classes26 ·Classes
27 class· Dune::LagrangePrismLocalFiniteElement<_D,_R,_k_>27 class· Dune::MonomialLocalFiniteElement<_D,_R,_d,_p_>
28  ······Lagrange·finite·element·for·3d·prisms·with·arbitrary·compile-time 
29 ········polynomial·order.·More...28  ······Monomial·basis·for·discontinuous·Galerkin·methods.·More...
 29  
 30 class· Dune::MonomialFiniteElementFactory<_Geometry,_RF,_p_>
 31  ······Factory·for·global-valued·MonomFiniteElement·objects.·More...
30  32  
31 ·Namespaces33 ·Namespaces
32 namespace· Dune34 namespace· Dune
33  35  
  
34 ===============================================================================36 ===============================================================================
35 ·····Generated·by [doxygen]·1.9.837 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 monomial.hh
12 ····*·lagrange 
13 lagrangeprism.hh 
14 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGEPRISM_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGEPRISM_HH 
22 ·7 
23 ·8#include·<array>19 ·5
 20 ·6#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_HH
 21 ·7#define·DUNE_LOCALFUNCTIONS_MONOMIAL_HH
 22 ·8
24 ·9#include·<numeric>23 ·9#include·<cassert>
25 ·10 
26 ·11#include·<dune/common/fmatrix.hh> 
27 ·12#include·<dune/common/fvector.hh> 
28 ·13#include·<dune/common/math.hh>24 ·10#include·<cstddef>
 25 ·11#include·<cstdlib>
 26 ·12#include·<memory>
 27 ·13#include·<vector>
29 ·1428 ·14
30 ·15#include·<dune/geometry/referenceelements.hh>29 ·15#include·<dune/geometry/type.hh>
31 ·1630 ·16
32 ·17#include·<dune/localfunctions/common/localbasis.hh> 
33 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>31 ·17#include·"common/localfiniteelementtraits.hh"
34 ·19#include·<dune/localfunctions/common/localinterpolation.hh> 
35 ·20#include·<dune/localfunctions/common/localkey.hh> 
36 ·21 
37 ·22namespace·Dune·{·namespace·Impl32 ·18#include·"common/localtoglobaladaptors.hh"
 33 ·19#include·"monomial/monomiallocalbasis.hh"
 34 ·20#include·"monomial/monomiallocalcoefficients.hh"
 35 ·21#include·"monomial/monomiallocalinterpolation.hh"
 36 ·22
 37 ·23namespace·Dune
38 ·23{38 ·24{
 39 ·25
 40 ·26
39 ·33·template<class·D,·class·R,·unsigned·int·k>41 ·39·template<class·D,·class·R,·int·d,·int·p>
40 ·34·class·LagrangePrismLocalBasis 
41 ·35·{ 
42 ·36·static·constexpr·std::size_t·dim·=·3;42 40·class·MonomialLocalFiniteElement
 43 ·41·{
 44 ·42·constexpr·static·int·static_size·=·MonomialLocalBasis<D,R,d,p>::size();
 45 ·43
43 ·37·public:46 ·44·public:
 47 ·47·typedef·LocalFiniteElementTraits<
 48 ·48·MonomialLocalBasis<D,R,d,p>,
 49 ·49·MonomialLocalCoefficients<static_size>,
 50 ·50·MonomialLocalInterpolation<MonomialLocalBasis<D,R,d,p>,static_size>
 51 51·>·Traits;
44 ·38·using·Traits·= 
45 LocalBasisTraits<D,dim,FieldVector<D,dim>,R,1,FieldVector<R,1>,FieldMatrix<R,1,dim> 
46 >; 
47 ·39 
48 ·42·static·constexpr·unsigned·int·size·() 
49 ·43·{ 
50 ·44·return·binomial(k+2,2u)·*·(k+1); 
51 ·45·} 
52 ·46 
53 ·48·void·evaluateFunction(const·typename·Traits::DomainType&·in, 
54 ·49·std::vector<typename·Traits::RangeType>&·out)·const 
55 ·50·{ 
56 ·51·out.resize(size()); 
57 ·5252 ·52
 53 54·MonomialLocalFiniteElement·(const·GeometryType·&gt_)
 54 ·55·:·basis(),·interpolation(gt_,·basis),·gt(gt_)
 55 ·56·{}
 56 ·57
 57 60·const·typename·Traits::LocalBasisType&·localBasis·()·const
58 ·53·//·Specialization·for·zero-order·case 
59 ·54·if·(k==0) 
60 ·55·{ 
61 ·56·out[0]·=·1; 
62 ·57·return; 
63 ·58·} 
64 ·59 
65 ·60·if·(k==1) 
66 ·61·{58 ·61·{
 59 ·62·return·basis;
 60 ·63·}
 61 ·64
 62 67·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
67 ·62·out[0]·=·(1.0-in[0]-in[1])*(1.0-in[2]); 
68 ·63·out[1]·=·in[0]*(1-in[2]); 
69 ·64·out[2]·=·in[1]*(1-in[2]); 
70 ·65·out[3]·=·in[2]*(1.0-in[0]-in[1]); 
71 ·66·out[4]·=·in[0]*in[2]; 
72 ·67·out[5]·=·in[1]*in[2]; 
73 ·6863 ·68·{
74 ·69·return;64 ·69·return·coefficients;
75 ·70·}65 ·70·}
76 ·7166 ·71
77 ·72·if·(k==2)67 74·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
78 ·73·{68 ·75·{
 69 ·76·return·interpolation;
 70 ·77·}
79 ·74·FieldVector<R,k+1>·segmentShapeFunction; 
80 ·75·segmentShapeFunction[0]·=·1·+·in[2]·*·(-3·+·2*in[2]); 
81 ·76·segmentShapeFunction[1]·=·in[2]·*·(4·-·4*in[2]); 
82 ·77·segmentShapeFunction[2]·=·in[2]·*·(-1·+·2*in[2]); 
83 ·7871 ·78
 72 80·unsigned·int·size·()·const
 73 ·81·{
 74 ·82·return·basis.size();
 75 ·83·}
 76 ·84
 77 87·GeometryType·type·()·const
 78 ·88·{
 79 ·89·return·gt;
 80 ·90·}
84 ·79·FieldVector<R,·6>·triangleShapeFunction; 
85 ·80·triangleShapeFunction[0]·=·2·*·(1·-·in[0]·-·in[1])·*·(0.5·-·in[0]·-·in[1]); 
86 ·81·triangleShapeFunction[1]·=·2·*·in[0]·*·(-0.5·+·in[0]); 
87 ·82·triangleShapeFunction[2]·=·2·*·in[1]·*·(-0.5·+·in[1]); 
88 ·83·triangleShapeFunction[3]·=·4*in[0]·*·(1·-·in[0]·-·in[1]); 
89 ·84·triangleShapeFunction[4]·=·4*in[1]·*·(1·-·in[0]·-·in[1]); 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange12 ····*·common
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 pqkfactory.hh·File·Reference 
15 #include·<map>14 localtoglobaladaptors.hh·File·Reference
 15 #include·<cstddef>
 16 #include·<vector>
 17 #include·<dune/common/fmatrix.hh>
 18 #include·<dune/common/fvector.hh>
 19 #include·<dune/common/typetraits.hh>
16 #include·<dune/geometry/type.hh>20 #include·<dune/geometry/type.hh>
17 #include·<dune/localfunctions/common/virtualinterface.hh> 
18 #include·<dune/localfunctions/common/virtualwrappers.hh> 
19 #include·<dune/localfunctions/lagrange/lagrangecube.hh> 
20 #include·<dune/localfunctions/lagrange/lagrangeprism.hh> 
21 #include·<dune/localfunctions/lagrange/lagrangepyramid.hh> 
22 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
23 #include·<dune/localfunctions/lagrange/p0.hh> 
24 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
25 ·Classes22 ·Classes
26 struct· Dune::DimSpecificPQkLocalFiniteElementFactory<_D,_R,_d,_k_> 
27  ·······Factory·that·only·creates·dimension·specific·local·finite·elements. 
28 ·········More...23 struct· Dune::LocalToGlobalBasisAdaptorTraits<_LocalBasisTraits,
 24 ·········dimDomainGlobal__>
 25  ·······Traits·class·for·local-to-global·basis·adaptors.·More...
29  26  
 27 ·class· Dune::ScalarLocalToGlobalBasisAdaptor<_LocalBasis,_Geometry_>
 28  ·······Convert·a·simple·scalar·local·basis·into·a·global·basis.·More...
30 struct· Dune::DimSpecificPQkLocalFiniteElementFactory<_D,_R,_3,_k_> 
31  ·······Factory·that·only·creates·dimension·specific·local·finite·elements. 
32 ·········More... 
33  29  
 30 ·class· Dune::LocalToGlobalInterpolationAdaptor<_LocalInterpolation,_Traits__>
 31  ·······Convert·a·local·interpolation·into·a·global·interpolation.·More...
34 struct· Dune::PQkLocalFiniteElementFactory<_D,_R,_dim,_k_> 
35  ·······Factory·to·create·any·kind·of·Pk/Qk·like·element·wrapped·for·the 
36 ·········virtual·interface.·More... 
37  32  
38 ·class· Dune::PQkLocalFiniteElementCache<_D,_R,_dim,_k_> 
39  ·······A·cache·that·stores·all·available·Pk/Qk·like·local·finite·elements·for 
40 ·········the·given·dimension·and·order.·More...33 struct· Dune::ScalarLocalToGlobalFiniteElementAdaptor<_LocalFiniteElement,
 34 ·········Geometry_>
 35  ·······Convert·a·simple·scalar·local·finite·element·into·a·global·finite
 36 ·········element.·More...
 37  
 38 struct· Dune::ScalarLocalToGlobalFiniteElementAdaptor<_LocalFiniteElement,
 39 ·········Geometry_>::Traits
 40  
 41 ·class· Dune::ScalarLocalToGlobalFiniteElementAdaptorFactory<
 42 ·········LocalFiniteElement,_Geometry_>
 43  ·······Factory·for·ScalarLocalToGlobalFiniteElementAdaptor·objects.·More...
41  44  
42 ·Namespaces45 ·Namespaces
43 namespace· Dune46 namespace· Dune
44  47  
  
45 ===============================================================================48 ===============================================================================
46 ·····Generated·by [doxygen]·1.9.849 ·····Generated·by [doxygen]·1.9.8
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3 <head>3 <head>
4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>
5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>
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8 <title>dune-localfunctions:·pqkfactory.hh·Source·File</title>8 <title>dune-localfunctions:·localtoglobaladaptors.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 pqkfactory.hh12 ····*·common
 13 localtoglobaladaptors.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_PQKFACTORY_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_PQKFACTORY_HH 
22 ·7 
23 ·8#include·<map> 
24 ·9 
25 ·10#include·<dune/geometry/type.hh>20 ·5
 21 ·6#ifndef·DUNE_LOCALFUNCTIONS_COMMON_LOCALTOGLOBALADAPTORS_HH
 22 ·7#define·DUNE_LOCALFUNCTIONS_COMMON_LOCALTOGLOBALADAPTORS_HH
 23 ·8
 24 ·9#include·<cstddef>
 25 ·10#include·<vector>
26 ·1126 ·11
 27 ·12#include·<dune/common/fmatrix.hh>
 28 ·13#include·<dune/common/fvector.hh>
 29 ·14#include·<dune/common/typetraits.hh>
 30 ·15
 31 ·16#include·<dune/geometry/type.hh>
 32 ·17
27 ·12#include·<dune/localfunctions/common/virtualinterface.hh> 
28 ·13#include·<dune/localfunctions/common/virtualwrappers.hh> 
29 ·14 
30 ·15#include·<dune/localfunctions/lagrange/lagrangecube.hh> 
31 ·16#include·<dune/localfunctions/lagrange/lagrangeprism.hh> 
32 ·17#include·<dune/localfunctions/lagrange/lagrangepyramid.hh> 
33 ·18#include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
34 ·19#include·<dune/localfunctions/lagrange/p0.hh> 
35 ·20 
36 ·21namespace·Dune33 ·18namespace·Dune·{
 34 ·19
 35 ·21
 36 ·29·template<class·LocalBasisTraits,·std::size_t·dimDomainGlobal_>
 37 30·struct·LocalToGlobalBasisAdaptorTraits·{
 38 31·typedef·typename·LocalBasisTraits::DomainFieldType·DomainField;
 39 32·static·const·std::size_t·dimDomainLocal·=·LocalBasisTraits::dimDomain;
 40 33·static·const·std::size_t·dimDomainGlobal·=·dimDomainGlobal_;
 41 34·typedef·typename·LocalBasisTraits::DomainType·DomainLocal;
 42 35·typedef·FieldVector<DomainField,·dimDomainGlobal>·DomainGlobal;
 43 ·36
 44 37·typedef·typename·LocalBasisTraits::RangeFieldType·RangeField;
 45 38·static·const·std::size_t·dimRange·=·LocalBasisTraits::dimRange;
 46 39·typedef·typename·LocalBasisTraits::RangeType·Range;
 47 ·40
 48 41·typedef·FieldMatrix<RangeField,·dimRange,·dimDomainGlobal>·Jacobian;
 49 ·42·};
 50 ·43
 51 ·45
 52 ·64·template<class·LocalBasis,·class·Geometry>
 53 65·class·ScalarLocalToGlobalBasisAdaptor·{
 54 ·66·static_assert(LocalBasis::Traits::dimRange·==·1,
 55 ·67·"ScalarLocalToGlobalBasisAdaptor·can·only·wrap·a·"
 56 ·68·"scalar·local·basis.");
 57 ·69·static_assert((std::is_same<typename·LocalBasis::Traits::DomainFieldType,
 58 ·70·typename·Geometry::ctype>::value),
 59 ·71·"ScalarLocalToGlobalBasisAdaptor:·LocalBasis·must·use·"
 60 ·72·"the·same·ctype·as·Geometry");
 61 ·73·static_assert
 62 ·74·(·static_cast<std::size_t>(LocalBasis::Traits::dimDomain)·==
 63 ·75·static_cast<std::size_t>(Geometry::mydimension),
 64 ·76·"ScalarLocalToGlobalBasisAdaptor:·LocalBasis·domain·dimension·must·"
 65 ·77·"match·local·dimension·of·Geometry");
 66 ·78
 67 ·79·const·LocalBasis&·localBasis;
 68 ·80·Geometry·geometry;
37 ·22{ 
38 ·23 
39 ·28·template<class·D,·class·R,·int·d,·int·k> 
40 29·struct·DimSpecificPQkLocalFiniteElementFactory 
41 ·30·{ 
42 31·typedef·typename·P0LocalFiniteElement<D,R,d>::Traits::LocalBasisType::Traits 
43 T; 
44 ·32 
45 34·static·LocalFiniteElementVirtualInterface<T>*·create(const·GeometryType&) 
46 ·35·{ 
47 ·36·return·nullptr; 
48 ·37·} 
49 ·38·}; 
50 ·39 
51 ·44·template<class·D,·class·R,·int·k> 
52 45·struct·DimSpecificPQkLocalFiniteElementFactory<D,R,3,k> 
53 ·46·{ 
54 47·typedef·typename·P0LocalFiniteElement<D,R,3>::Traits::LocalBasisType::Traits 
55 T; 
56 48·using·PrismP1·=·LagrangePrismLocalFiniteElement<D,R,1>; 
57 49·using·PrismP2·=·LagrangePrismLocalFiniteElement<D,R,2>; 
58 50·using·PyramidP1·=·LagrangePyramidLocalFiniteElement<D,R,1>; 
59 51·using·PyramidP2·=·LagrangePyramidLocalFiniteElement<D,R,2>; 
60 ·52 
61 54·static·LocalFiniteElementVirtualInterface<T>*·create(const·GeometryType&·gt) 
62 ·55·{ 
63 ·56·if·((gt.isPrism())and·(k==1)) 
64 ·57·return·new·LocalFiniteElementVirtualImp<PrismP1>(PrismP1()); 
65 ·58·if·((gt.isPrism())and·(k==2)) 
66 ·59·return·new·LocalFiniteElementVirtualImp<PrismP2>(PrismP2()); 
67 ·60·if·((gt.isPyramid())and·(k==1)) 
68 ·61·return·new·LocalFiniteElementVirtualImp<PyramidP1>(PyramidP1()); 
69 ·62·if·((gt.isPyramid())and·(k==2)) 
70 ·63·return·new·LocalFiniteElementVirtualImp<PyramidP2>(PyramidP2()); 
71 ·64·return·nullptr; 
72 ·65·} 
73 ·66·}; 
74 ·67 
75 ·68 
76 ·72·template<class·D,·class·R,·int·dim,·int·k> 
77 73·struct·PQkLocalFiniteElementFactory 
78 ·74·{ 
79 75·typedef·typename·P0LocalFiniteElement<D,R,dim>::Traits::LocalBasisType:: 
80 Traits·T; 
81 76·typedef·LocalFiniteElementVirtualInterface<T>·FiniteElementType; 
82 77·using·P0·=·P0LocalFiniteElement<D,R,dim>; 
83 78·using·Pk·=·LagrangeSimplexLocalFiniteElement<D,R,dim,k>; 
84 79·using·Qk·=·LagrangeCubeLocalFiniteElement<D,R,dim,k>; 
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9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 Namespaces·|·Typedefs 
14 lagrangelfecache.hh·File·Reference12 ····*·common
 13 Classes·|·Namespaces
 14 localkey.hh·File·Reference
 15 #include·<array>
15 #include·<tuple>16 #include·<cstddef>
 17 #include·<ostream>
16 #include·<utility> 
17 #include·<dune/geometry/type.hh> 
18 #include·<dune/geometry/typeindex.hh> 
19 #include·<dune/localfunctions/lagrange/lagrangecube.hh> 
20 #include·<dune/localfunctions/lagrange/lagrangeprism.hh> 
21 #include·<dune/localfunctions/lagrange/lagrangepyramid.hh> 
22 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
23 #include·<dune/localfunctions/lagrange/p0.hh> 
24 #include·<dune/localfunctions/common/localfiniteelementvariantcache.hh> 
25 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
 19 ·Classes
 20 class· Dune::LocalKey
 21  ······Describe·position·of·one·degree·of·freedom.·More...
 22  
26 ·Namespaces23 ·Namespaces
27 namespace· Dune24 namespace· Dune
28  25  
29 ·Typedefs 
30 template<class·D·,·class·R·,·std::size_t·dim,·std::size_t·order> 
31 using Dune::LagrangeLocalFiniteElementCache·=·LocalFiniteElementVariantCache< 
32 ·······Impl::ImplementedLagrangeFiniteElements<·D,·R,·dim,·order·>·> 
33  ·····A·cache·that·stores·all·available·Pk/Qk·like·local·finite·elements·for 
34 ·······the·given·dimension·and·order. 
35   
  
36 ===============================================================================26 ===============================================================================
37 ·····Generated·by [doxygen]·1.9.827 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·lagrangelfecache.hh·Source·File</title>8 <title>dune-localfunctions:·localkey.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 lagrangelfecache.hh12 ····*·common
 13 localkey.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGELFECACHE_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGELFECACHE_HH20 ·5#ifndef·DUNE_LOCALKEY_HH
 21 ·6#define·DUNE_LOCALKEY_HH
22 ·722 ·7
 23 ·8#include·<array>
 24 ·9#include·<cstddef>
 25 ·10#include·<ostream>
 26 ·11
23 ·8#include·<tuple> 
24 ·9#include·<utility> 
25 ·10 
26 ·11#include·<dune/geometry/type.hh> 
27 ·12#include·<dune/geometry/typeindex.hh> 
28 ·13 
29 ·14#include·<dune/localfunctions/lagrange/lagrangecube.hh> 
30 ·15#include·<dune/localfunctions/lagrange/lagrangeprism.hh> 
31 ·16#include·<dune/localfunctions/lagrange/lagrangepyramid.hh> 
32 ·17#include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
33 ·18#include·<dune/localfunctions/lagrange/p0.hh> 
34 ·19#include·<dune/localfunctions/common/localfiniteelementvariantcache.hh> 
35 ·20 
36 ·21 
37 ·22namespace·Dune·{27 ·12namespace·Dune
 28 ·13{
 29 22·class·LocalKey
38 ·2330 ·23·{
39 ·2431 ·24·public:
40 ·2532 ·25
 33 ·27·enum·{
 34 ·36·intersectionCodim=666
 35 37·};
 36 ·38
 37 40·LocalKey·()
41 ·26namespace·Impl·{ 
42 ·27 
43 ·28·//·Provide·implemented·Lagrange·local·finite·elements 
44 ·29 
45 ·30·template<class·D,·class·R,·std::size_t·dim,·std::size_t·order> 
46 ·31·struct·ImplementedLagrangeFiniteElements·:·public 
47 FixedDimLocalGeometryTypeIndex<dim> 
48 ·32·{ 
49 ·33·using·FixedDimLocalGeometryTypeIndex<dim>::index; 
50 ·34·static·auto·getImplementations() 
51 ·35·{ 
52 ·36·return·std::make_tuple( 
53 ·37·std::make_pair(index(GeometryTypes::simplex(dim)),·[]()·{·return 
54 LagrangeSimplexLocalFiniteElement<D,R,dim,order>();·}), 
55 ·38·std::make_pair(index(GeometryTypes::cube(dim)),·[]()·{·return 
56 LagrangeCubeLocalFiniteElement<D,R,dim,order>();·}) 
57 ·39·); 
58 ·40·} 
59 ·41·};38 ·41·{}
60 ·4239 ·42
 40 48·LocalKey·(unsigned·int·s,·unsigned·int·c,·unsigned·int·i)
61 ·43·template<class·D,·class·R,·std::size_t·dim> 
62 ·44·struct·ImplementedLagrangeFiniteElements<D,R,dim,0>·:·public 
63 FixedDimLocalGeometryTypeIndex<dim> 
64 ·45·{41 ·49·{
 42 ·50·values_[0]·=·s;
 43 ·51·values_[1]·=·c;
 44 ·52·values_[2]·=·i;
65 ·46·using·FixedDimLocalGeometryTypeIndex<dim>::index; 
66 ·47·static·auto·getImplementations() 
67 ·48·{ 
68 ·49·return·std::make_tuple( 
69 ·50·std::make_pair(index(GeometryTypes::simplex(dim)),·[]()·{·return 
70 P0LocalFiniteElement<D,R,dim>(GeometryTypes::simplex(dim));·}), 
71 ·51·std::make_pair(index(GeometryTypes::cube(dim)),·[]()·{·return 
72 P0LocalFiniteElement<D,R,dim>(GeometryTypes::cube(dim));·}), 
73 ·52·std::make_pair(index(GeometryTypes::none(dim)),·[]()·{·return 
74 P0LocalFiniteElement<D,R,dim>(GeometryTypes::none(dim));·}) 
75 ·53·); 
76 ·54·}45 ·53·}
 46 ·54
 47 56·inline·unsigned·int·subEntity·()·const
77 ·55·}; 
78 ·56 
79 ·57·template<class·D,·class·R> 
80 ·58·struct·ImplementedLagrangeFiniteElements<D,R,3,0>·:·public 
81 FixedDimLocalGeometryTypeIndex<3> 
82 ·59·{48 ·57·{
 49 ·58·return·values_[0];
83 ·60·using·FixedDimLocalGeometryTypeIndex<3>::index; 
84 ·61·static·auto·getImplementations() 
85 ·62·{ 
86 ·63·return·std::make_tuple( 
87 ·64·std::make_pair(index(GeometryTypes::tetrahedron),·[]()·{·return 
88 P0LocalFiniteElement<D,R,3>(GeometryTypes::tetrahedron);·}), 
89 ·65·std::make_pair(index(GeometryTypes::hexahedron),·[]()·{·return 
90 P0LocalFiniteElement<D,R,3>(GeometryTypes::hexahedron);·}), 
91 ·66·std::make_pair(index(GeometryTypes::prism),·[]()·{·return 
92 P0LocalFiniteElement<D,R,3>(GeometryTypes::prism);·}), 
93 ·67·std::make_pair(index(GeometryTypes::pyramid),·[]()·{·return 
94 P0LocalFiniteElement<D,R,3>(GeometryTypes::pyramid);·}) 
95 ·68·); 
96 ·69·}50 ·59·}
97 ·70·};51 ·60
 52 62·inline·unsigned·int·codim·()·const
 53 ·63·{
 54 ·64·return·values_[1];
 55 ·65·}
 56 ·66
 57 68·inline·unsigned·int·index·()·const
 58 ·69·{
 59 ·70·return·values_[2];
98 ·7160 ·71·}
 61 ·72
 62 74·void·index·(unsigned·int·i)
99 ·72·template<class·D,·class·R> 
100 ·73·struct·ImplementedLagrangeFiniteElements<D,R,3,1>·:·public 
101 FixedDimLocalGeometryTypeIndex<3> 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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12 ····*·lagrange 
13 Namespaces·|·Typedefs 
14 p2.hh·File·Reference12 ····*·common
 13 Classes·|·Namespaces
 14 localfiniteelementvariant.hh·File·Reference
 15 #include·<cstddef>
 16 #include·<type_traits>
 17 #include·<variant>
 18 #include·<dune/common/typeutilities.hh>
 19 #include·<dune/common/std/type_traits.hh>
 20 #include·<dune/common/overloadset.hh>
 21 #include·<dune/geometry/type.hh>
 22 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
15 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>23 #include·<dune/localfunctions/common/localbasis.hh>
 24 #include·<dune/localfunctions/common/localkey.hh>
16 Go_to_the_source_code_of_this_file.25 Go_to_the_source_code_of_this_file.
 26 ·Classes
 27 class· Dune::LocalFiniteElementVariant<_Implementations_>
 28  ······Type·erasure·class·for·wrapping·LocalFiniteElement·classes.·More...
 29  
17 ·Namespaces30 ·Namespaces
18 namespace· Dune31 namespace· Dune
19  32  
20 ·Typedefs 
21 template<class·D·,·class·R·,·int·d> 
22 using Dune::P2LocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,·d, 
23 ·······2·> 
24  ·····Second-order·Lagrange·finite·element·on·the·reference·simplex·with 
25 ·······compile-time·dimension. 
26   
  
27 ===============================================================================33 ===============================================================================
28 ·····Generated·by [doxygen]·1.9.834 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 p2.hh12 ····*·common
 13 localfiniteelementvariant.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_P2_LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_P2_LOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_COMMON_LOCALFINITEELEMENTVARIANT_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_COMMON_LOCALFINITEELEMENTVARIANT_HH
22 ·722 ·7
23 ·8#include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
24 ·9 
25 ·10#warning·This·header·is·deprecated23 ·8#include·<cstddef>
 24 ·9#include·<type_traits>
 25 ·10#include·<variant>
26 ·1126 ·11
 27 ·12#include·<dune/common/typeutilities.hh>
 28 ·13#include·<dune/common/std/type_traits.hh>
 29 ·14#include·<dune/common/overloadset.hh>
 30 ·15
 31 ·16#include·<dune/geometry/type.hh>
 32 ·17
 33 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 34 ·19#include·<dune/localfunctions/common/localbasis.hh>
 35 ·20#include·<dune/localfunctions/common/localkey.hh>
 36 ·21
 37 ·22
27 ·12namespace·Dune38 ·23namespace·Dune·{
28 ·13{ 
29 ·14 
30 ·19·template<class·D,·class·R,·int·d> 
31 20·using·P2LocalFiniteElement 
32 ·21·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]] 
33 ·22·=·LagrangeSimplexLocalFiniteElement<D,R,d,2>; 
34 ·23 
35 ·24}39 ·24
 40 ·25namespace·Impl·{
 41 ·26
 42 ·27·//·Helper·for·visiting·a·variant·containing·monostate.
 43 ·28·//·Since·a·generic·lambda·will·in·most·cases·not·compile
 44 ·29·//·for·monostate,·we·add·special·empty·overloads·for·monostate.
 45 ·30·//·Hence·visitIf·will·simply·do·nothing·in·the·case·of·a
 46 ·31·//·monostate·value.
 47 ·32·template<class·Visitor,·class·Variant>
 48 ·33·void·visitIf(Visitor&&·visitor,·Variant&&·variant)
 49 ·34·{
 50 ·35·auto·visitorWithFallback·=·overload([&](std::monostate&)·{},·[&](const
 51 std::monostate&)·{},·visitor);
 52 ·36·std::visit(visitorWithFallback,·variant);
 53 ·37·}
 54 ·38
 55 ·39·template<class...·Implementations>
 56 ·40·class·LocalBasisVariant
 57 ·41·{
 58 ·42
 59 ·43·template<class·I0,·class...·II>
 60 ·44·struct·FirstType
 61 ·45·{·using·type·=·I0;·};
 62 ·46
 63 ·47·using·FirstImpTraits·=·typename·FirstType<Implementations...>::type::
 64 Traits;
 65 ·48
 66 ·49·public:
 67 ·50
 68 ·51·//·We·do·not·simply·copy·Implementation::LocalBasisTraits·because·this
 69 ·52·//·may·be·implementation·specific.·To·stay·clean,·we·simply·put·all·its
 70 ·53·//·data·into·the·default·LocalBasisTraits.
 71 ·54·using·Traits·=·typename·Dune::LocalBasisTraits<
 72 ·55·typename·FirstImpTraits::DomainFieldType,
 73 ·56·FirstImpTraits::dimDomain,
 74 ·57·typename·FirstImpTraits::DomainType,
 75 ·58·typename·FirstImpTraits::RangeFieldType,
 76 ·59·FirstImpTraits::dimRange,
 77 ·60·typename·FirstImpTraits::RangeType,
 78 ·61·typename·FirstImpTraits::JacobianType>;
 79 ·62
 80 ·63·template<class·Implementation>
 81 ·64·LocalBasisVariant(const·Implementation&·impl)·:
 82 ·65·impl_(&impl),
 83 ·66·size_(impl.size()),
 84 ·67·order_(impl.order())
 85 ·68·{}
 86 ·69
 87 ·70·LocalBasisVariant()·=·default;
 88 ·71·LocalBasisVariant(const·LocalBasisVariant&·other)·=·default;
 89 ·72·LocalBasisVariant(LocalBasisVariant&&·other)·=·default;
 90 ·73·LocalBasisVariant&·operator=(const·LocalBasisVariant&·other)·=·default;
 91 ·74·LocalBasisVariant&·operator=(LocalBasisVariant&&·other)·=·default;
 92 ·75
 93 ·79·unsigned·int·size()·const
 94 ·80·{
 95 ·81·return·size_;
 96 ·82·}
 97 ·83
 98 ·87·unsigned·int·order()·const
 99 ·88·{
 100 ·89·return·order_;
 101 ·90·}
 102 ·91
 103 ·95·inline·void·evaluateFunction(
 104 ·96·const·typename·Traits::DomainType&·x,
 105 ·97·std::vector<typename·Traits::RangeType>&·out)·const
 106 ·98·{
 107 ·99·Impl::visitIf([&](const·auto*·impl)·{·impl->evaluateFunction(x,·out);·},
 108 impl_);
 109 ·100·}
 110 ·101
 111 ·105·inline·void·evaluateJacobian(
 112 ·106·const·typename·Traits::DomainType&·x,
 113 ·107·std::vector<typename·Traits::JacobianType>&·out)·const
 114 ·108·{
 115 ·109·Impl::visitIf([&](const·auto*·impl)·{·impl->evaluateJacobian(x,·out);·},
 116 impl_);
 117 ·110·}
 118 ·111
 119 ·119·void·partial(
 120 ·120·const·std::array<unsigned·int,Traits::dimDomain>&·order,
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14 p0.hh·File·Reference14 localfiniteelementvariantcache.hh·File·Reference
 15 #include·<vector>
 16 #include·<tuple>
 17 #include·<utility>
 18 #include·<type_traits>
 19 #include·<dune/common/std/type_traits.hh>
 20 #include·<dune/common/exceptions.hh>
 21 #include·<dune/common/typelist.hh>
 22 #include·<dune/common/hybridutilities.hh>
15 #include·<dune/geometry/type.hh>23 #include·<dune/geometry/type.hh>
 24 #include·<dune/geometry/typeindex.hh>
16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>25 #include·<dune/localfunctions/common/localfiniteelementvariant.hh>
17 #include·"p0/p0localbasis.hh" 
18 #include·"p0/p0localcoefficients.hh" 
19 #include·"p0/p0localinterpolation.hh" 
20 Go_to_the_source_code_of_this_file.26 Go_to_the_source_code_of_this_file.
21 ·Classes27 ·Classes
22 class· Dune::P0LocalFiniteElement<_D,_R,_d_> 
23  ······The·local·p0·finite·element·on·all·types·of·reference·elements.·More...28 class· Dune::LocalFiniteElementVariantCache<_Base_>
 29  ······A·cache·storing·a·compile·time·selection·of·local·finite·element
 30 ········implementations.·More...
24  31  
25 ·Namespaces32 ·Namespaces
26 namespace· Dune33 namespace· Dune
27  34  
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 p0.hh12 ····*·common
 13 localfiniteelementvariantcache.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_P0LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_P0LOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_COMMON_LOCALFINITEELEMENTVARIANTCACHE_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_COMMON_LOCALFINITEELEMENTVARIANTCACHE_HH
22 ·722 ·7
 23 ·8#include·<vector>
 24 ·9#include·<tuple>
 25 ·10#include·<utility>
 26 ·11#include·<type_traits>
 27 ·12
 28 ·13#include·<dune/common/std/type_traits.hh>
 29 ·14#include·<dune/common/exceptions.hh>
23 ·8#include·<dune/geometry/type.hh>30 ·15#include·<dune/common/typelist.hh>
 31 ·16#include·<dune/common/hybridutilities.hh>
24 ·9 
25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
26 ·11#include·"p0/p0localbasis.hh" 
27 ·12#include·"p0/p0localcoefficients.hh" 
28 ·13#include·"p0/p0localinterpolation.hh" 
29 ·14 
30 ·15namespace·Dune 
31 ·16{ 
32 ·1732 ·17
33 ·23·template<class·D,·class·R,·int·d> 
34 24·class·P0LocalFiniteElement33 ·18#include·<dune/geometry/type.hh>
 34 ·19#include·<dune/geometry/typeindex.hh>
 35 ·20
 36 ·21#include·<dune/localfunctions/common/localfiniteelementvariant.hh>
 37 ·22
 38 ·23
 39 ·24namespace·Dune·{
 40 ·25
 41 ·26namespace·Impl·{
 42 ·27
 43 ·28·//·This·class·provides·the·index·method·of·LocalGeometryTypeIndex
 44 ·29·//·but·throws·a·Dune::RangeError·if·the·dimension·does·not·match.
 45 ·30·//·This·can·be·helpful·to·catch·errors·in·a·LocalFiniteElementVariantCache
 46 ·31·//·instance·based·on·dimension·specific·GeometryType·indices.
 47 ·32·template<std::size_t·dim>
 48 ·33·struct·FixedDimLocalGeometryTypeIndex·{
 49 ·34·inline·static·std::size_t·index(const·GeometryType·&gt)
35 ·25·{50 ·35·{
 51 ·36·if·(gt.dim()·!=·dim)
 52 ·37·DUNE_THROW(Dune::RangeError,·"Asking·for·dim="·<<·dim·<<·"·specific·index
 53 of·GeometryType·with·dimension·"·<<·gt.dim());
 54 ·38·return·LocalGeometryTypeIndex::index(gt);
36 ·26·public: 
37 ·29·typedef·LocalFiniteElementTraits<P0LocalBasis<D,R,d>,·P0LocalCoefficients, 
38 30·P0LocalInterpolation<P0LocalBasis<D,R,d>·>·>·Traits; 
39 ·31 
40 34·P0LocalFiniteElement·(const·GeometryType&·type) 
41 ·35·:·interpolation(type),·gt(type) 
42 ·36·{} 
43 ·37 
44 40·const·typename·Traits::LocalBasisType&·localBasis·()·const 
45 ·41·{ 
46 ·42·return·basis; 
47 ·43·}55 ·39·}
 56 ·40·};
 57 ·41
 58 ·42}·//·end·namespace·Impl
 59 ·43
 60 ·66template<class·Base>
 61 67class·LocalFiniteElementVariantCache·:·Base
48 ·44 
49 47·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
50 ·48·{ 
51 ·49·return·coefficients; 
52 ·50·} 
53 ·51 
54 54·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
55 ·55·{ 
56 ·56·return·interpolation; 
57 ·57·} 
58 ·58 
59 60·unsigned·int·size·()·const 
60 ·61·{ 
61 ·62·return·1; 
62 ·63·} 
63 ·64 
64 67·GeometryType·type·()·const 
65 ·68·{62 ·68{
66 ·69·return·gt; 
67 ·70·} 
68 ·71 
69 ·72·private: 
70 ·73·P0LocalBasis<D,R,d>·basis; 
71 ·74·P0LocalCoefficients·coefficients; 
72 ·75·P0LocalInterpolation<P0LocalBasis<D,R,d>·>·interpolation; 
73 ·76·GeometryType·gt;63 ·69
 64 ·70·template<class·LFEImplTuple>
 65 ·71·struct·GenerateLFEVariant;
 66 ·72
 67 ·73·template<class·Index,·class...·LFEImpl>
 68 ·74·struct·GenerateLFEVariant<std::tuple<std::pair<Index,·LFEImpl>...>>
 69 ·75·{
 70 ·76·using·type·=·UniqueTypes_t<LocalFiniteElementVariant,·decltype(std::
 71 declval<LFEImpl>()())...>;
74 ·77·};72 ·77·};
75 ·7873 ·78
76 ·79} 
77 ·80 
78 ·81#endif 
79 p0localcoefficients.hh 
80 p0localinterpolation.hh 
81 p0localbasis.hh74 ·79·using·Base::getImplementations;
 75 ·80·using·Base::index;
 76 ·81·using·Implementations·=·decltype(std::declval<Base>().getImplementations
 77 ());
 78 ·82
 79 ·83public:
 80 ·84
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9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange12 ····*·common
13 Classes·|·Namespaces·|·Functions13 Classes·|·Namespaces
14 equidistantpoints.hh·File·Reference 
15 #include·<cstddef> 
16 #include·<algorithm>14 virtualinterface.hh·File·Reference
 15 #include·<type_traits>
 16 #include·<array>
17 #include·<vector>17 #include·<vector>
18 #include·<dune/geometry/referenceelements.hh>18 #include·<functional>
19 #include·<dune/geometry/type.hh>19 #include·<dune/geometry/type.hh>
20 #include·<dune/localfunctions/lagrange/emptypoints.hh>20 #include·<dune/localfunctions/common/localbasis.hh>
 21 #include·<dune/localfunctions/common/localinterpolation.hh>
21 #include·<dune/localfunctions/utility/field.hh>22 #include·<dune/localfunctions/common/localkey.hh>
 23 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
22 Go_to_the_source_code_of_this_file.24 Go_to_the_source_code_of_this_file.
23 ·Classes25 ·Classes
24 class· Dune::EquidistantPointSet<_F,_dim_>26 ·class· Dune::LocalFiniteElementFunctionBase<_FE_>
 27  ·······Return·a·proper·base·class·for·functions·to·use·with
 28 ·········LocalInterpolation.·More...
 29  
 30 struct· Dune::LocalFiniteElementFunctionBase<_FE_>::FunctionBaseDummy::Traits
 31  
 32 ·class· Dune::LocalBasisVirtualInterface<_T_>
 33  ·······virtual·base·class·for·a·local·basis·More...
 34  
 35 ·class· Dune::LocalInterpolationVirtualInterfaceBase<_DomainType,_RangeType_>
 36  ·······virtual·base·class·for·a·local·interpolation·More...
 37  
 38 ·class· Dune::LocalInterpolationVirtualInterface<_DomainType,_RangeType_>
 39  ·······virtual·base·class·for·a·local·interpolation·More...
 40  
 41 ·class· Dune::LocalCoefficientsVirtualInterface
 42  ·······virtual·base·class·for·local·coefficients·More...
 43  
 44 ·class· Dune::LocalFiniteElementVirtualInterface<_T_>
 45  ·······virtual·base·class·for·local·finite·elements·with·functions·More...
25  46  
26 ·Namespaces47 ·Namespaces
27 namespace· Dune48 namespace· Dune
28  49  
29 ·Functions 
30 ········std::size_t Dune::numLagrangePoints·(const·GeometryType·&gt,·std:: 
31 ·····················size_t·order) 
32   
33 ········std::size_t Dune::numLagrangePoints·(unsigned·int·topologyId,·unsigned 
34 ·····················int·dim,·std::size_t·order) 
35   
36 template<class·ct·,·unsigned·int·cdim> 
37 static·unsigned·int Dune::equidistantLagrangePoints·(const·GeometryType·&gt, 
38 ·····················unsigned·int·codim,·std::size_t·order,·unsigned·int 
39 ·····················*count,·LagrangePoint<·ct,·cdim·>·*points) 
40   
41 template<class·ct·,·unsigned·int·cdim> 
42 static·unsigned·int Dune::equidistantLagrangePoints·(unsigned·int·topologyId, 
43 ·····················unsigned·int·dim,·unsigned·int·codim,·std::size_t·order, 
44 ·····················unsigned·int·*count,·LagrangePoint<·ct,·cdim·>·*points) 
45   
  
46 ===============================================================================50 ===============================================================================
47 ·····Generated·by [doxygen]·1.9.851 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·equidistantpoints.hh·Source·File</title>8 <title>dune-localfunctions:·virtualinterface.hh·Source·File</title>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 equidistantpoints.hh12 ····*·common
 13 virtualinterface.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
 15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
 16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
15 ·1//·SPDX-FileCopyrightText:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
16 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
17 ·2//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·DUNE_LOCALFUNCTIONS_COMMON_VIRTUALINTERFACE_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_COMMON_VIRTUALINTERFACE_HH
18 ·3#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_EQUIDISTANTPOINTS_HH 
19 ·4#define·DUNE_LOCALFUNCTIONS_LAGRANGE_EQUIDISTANTPOINTS_HH 
20 ·5 
21 ·6#include·<cstddef> 
22 ·722 ·7
23 ·8#include·<algorithm>23 ·8#include·<type_traits>
 24 ·9#include·<array>
24 ·9#include·<vector>25 ·10#include·<vector>
25 ·10 
26 ·11#include·<dune/geometry/referenceelements.hh>26 ·11#include·<functional>
 27 ·12
27 ·12#include·<dune/geometry/type.hh>28 ·13#include·<dune/geometry/type.hh>
 29 ·14
 30 ·15#include·<dune/localfunctions/common/localbasis.hh>
 31 ·16#include·<dune/localfunctions/common/localinterpolation.hh>
 32 ·17#include·<dune/localfunctions/common/localkey.hh>
 33 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
28 ·13 
29 ·14#include·<dune/localfunctions/lagrange/emptypoints.hh> 
30 ·15#include·<dune/localfunctions/utility/field.hh> 
31 ·16 
32 ·17namespace·Dune 
33 ·18{ 
34 ·1934 ·19
35 ·20·//·numLagrangePoints 
36 ·21·//·-----------------35 ·20namespace·Dune
 36 ·21{
37 ·2237 ·22
38 23·inline·std::size_t·numLagrangePoints·(·const·GeometryType&·gt,·std::size_t 
39 order·)38 ·23·//·forward·declaration·needed·by·the·helper·traits
 39 ·24·template<class·DomainType,·class·RangeType>
 40 ·25·class·LocalInterpolationVirtualInterface;
 41 ·26
 42 ·27·//·-----------------------------------------------------------------
 43 ·28·//·Helper·traits·classes
 44 ·29·//·-----------------------------------------------------------------
 45 ·30
 46 ·43·template<class·FE>
 47 44·class
 48 ·45·[[deprecated("Dune::LocalFiniteElementFunctionBase·is·deprecated·after·Dune
 49 2.7.·You·can·now·pass·functions·providing·operator()·to·interpolate.")]]
 50 ·46·LocalFiniteElementFunctionBase
40 ·24·{51 ·47·{
 52 ·48·typedef·typename·FE::Traits::LocalBasisType::Traits::DomainType·Domain;
 53 ·49·typedef·typename·FE::Traits::LocalBasisType::Traits::RangeType·Range;
41 ·25·const·int·dim·=·gt.dim(); 
42 ·26·if(·dim·>·0·) 
43 ·27·{ 
44 ·28·const·GeometryType·baseGeometryType·=·Impl::getBase(·gt·); 
45 ·29·if(·gt.isConical()·) 
46 ·30·{ 
47 ·31·std::size_t·size·=·0; 
48 ·32·for(·unsigned·int·o·=·0;·o·<=·order;·++o·) 
49 ·33·size·+=·numLagrangePoints(·baseGeometryType,·o·); 
50 ·34·return·size; 
51 ·35·} 
52 ·36·else 
53 ·37·return·numLagrangePoints(·baseGeometryType,·order·)·*·(order+1); 
54 ·38·} 
55 ·39·else 
56 ·40·return·1; 
57 ·41·} 
58 ·42 
59 ·43·[[deprecated("Use·numLagrangePoints(const·GeometryType&·gt,·std::size_t 
60 order·)·instead.")]] 
61 44·inline·std::size_t·numLagrangePoints·(·unsigned·int·topologyId,·unsigned·int 
62 dim,·std::size_t·order·) 
63 ·45·{ 
64 ·46·return·numLagrangePoints·(·GeometryType(topologyId,·dim),·order); 
65 ·47·} 
66 ·48 
67 ·49 
68 ·5054 ·50
 55 ·51·//·Hack:·Keep·a·copy·of·Dune::Function·here.·This·allows·to·avoid·depending
 56 ·52·//·on·the·deprecated·dune-common·header·while·still·keeping·the
 57 LocalFiniteElementFunctionBase
 58 ·53·//·mechanism·working·during·its·deprecation·period.
 59 ·54·class·FunctionBaseDummy
69 ·51·//·equidistantLagrangePoints 
70 ·52·//·------------------------- 
71 ·53 
72 ·54·template<·class·ct,·unsigned·int·cdim·> 
73 55·inline·static·unsigned·int·equidistantLagrangePoints·(·const·GeometryType& 
74 gt,·unsigned·int·codim,·std::size_t·order,·unsigned·int·*count,·LagrangePoint< 
75 ct,_cdim_>·*points·) 
76 ·56·{60 ·55·{
77 ·57·const·unsigned·int·dim·=·gt.dim(); 
78 ·58·assert(·(0·<=·codim)·&&·(codim·<=·dim)·&&·(dim·<=·cdim)·); 
79 ·59 
80 ·60·if(·dim·>·0·)61 ·56·public:
 62 ·57
 63 ·58·using·RangeType·=·Range;
 64 ·59·using·DomainType·=·Domain;
 65 ·60
 66 61·struct·Traits
81 ·61·{67 ·62·{
 68 63·using·RangeType·=·Range;
 69 64·using·DomainType·=·Domain;
 70 ·65·};
 71 ·66
 72 ·67·void·evaluate(const·DomainType&·x,·RangeType&·y)·const;
 73 ·68·};
 74 ·69
 75 ·70·public:
 76 ·71
 77 72·using·VirtualFunctionBase·=·FunctionBaseDummy;
 78 73·using·FunctionBase·=·FunctionBaseDummy;
 79 ·74
 80 80·using·type·=·FunctionBaseDummy;
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange12 ····*·common
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 lagrangepyramid.hh·File·Reference 
15 #include·<array>14 interfaceswitch.hh·File·Reference
 15 #include·<cstddef>
16 #include·<numeric>16 #include·<memory>
 17 #include·<vector>
17 #include·<dune/common/fmatrix.hh>18 #include·<dune/common/fmatrix.hh>
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/common/math.hh>19 #include·<dune/common/typetraits.hh>
 20 #include·<dune/common/shared_ptr.hh>
20 #include·<dune/geometry/referenceelements.hh> 
21 #include·<dune/localfunctions/common/localbasis.hh> 
22 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
23 #include·<dune/localfunctions/common/localinterpolation.hh> 
24 #include·<dune/localfunctions/common/localkey.hh> 
25 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
26 ·Classes22 ·Classes
27 class· Dune::LagrangePyramidLocalFiniteElement<_D,_R,_k_> 
28  ······Lagrange·finite·element·for·3d·pyramids·with·compile-time·polynomial23 struct· Dune::FiniteElementInterfaceSwitch<_FiniteElement,_Dummy_>
 24  ·······Switch·for·uniform·treatment·of·finite·element·with·either·the·local
 25 ·········or·the·global·interface.·More...
 26  
 27 struct· Dune::BasisInterfaceSwitch<_Basis,_Dummy_>
 28  ·······Switch·for·uniform·treatment·of·local·and·global·basis·classes.
29 ········order.·More...29 ·········More...
30  30  
31 ·Namespaces31 ·Namespaces
32 namespace· Dune32 namespace· Dune
33  33  
  
34 ===============================================================================34 ===============================================================================
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 lagrangepyramid.hh12 ····*·common
 13 interfaceswitch.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGEPYRAMID_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGEPYRAMID_HH 
22 ·7 
23 ·8#include·<array>20 ·5
 21 ·6#ifndef·DUNE_LOCALFUNCTIONS_COMMON_INTERFACESWITCH_HH
 22 ·7#define·DUNE_LOCALFUNCTIONS_COMMON_INTERFACESWITCH_HH
 23 ·8
 24 ·9#include·<cstddef>
24 ·9#include·<numeric>25 ·10#include·<memory>
25 ·1026 ·11#include·<vector>
 27 ·12
26 ·11#include·<dune/common/fmatrix.hh>28 ·13#include·<dune/common/fmatrix.hh>
27 ·12#include·<dune/common/fvector.hh> 
28 ·13#include·<dune/common/math.hh>29 ·14#include·<dune/common/typetraits.hh>
 30 ·15#include·<dune/common/shared_ptr.hh>
29 ·14 
30 ·15#include·<dune/geometry/referenceelements.hh> 
31 ·1631 ·16
 32 ·17namespace·Dune·{
 33 ·18
32 ·17#include·<dune/localfunctions/common/localbasis.hh> 
33 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
34 ·19#include·<dune/localfunctions/common/localinterpolation.hh> 
35 ·20#include·<dune/localfunctions/common/localkey.hh> 
36 ·2134 ·21
 35 ·29·template<class·FiniteElement,·class·Dummy·=·void>
 36 30·struct·FiniteElementInterfaceSwitch·{
 37 32·typedef·typename·FiniteElement::Traits::Basis·Basis;
 38 34·typedef·typename·FiniteElement::Traits::Interpolation·Interpolation;
 39 36·typedef·typename·FiniteElement::Traits::Coefficients·Coefficients;
 40 ·37
 41 39·static·const·Basis·&basis(const·FiniteElement&·fe)
 42 ·40·{·return·fe.basis();·}
 43 42·static·const·Interpolation·&interpolation(const·FiniteElement&·fe)
 44 ·43·{·return·fe.interpolation();·}
 45 45·static·const·Coefficients·&coefficients(const·FiniteElement&·fe)
 46 ·46·{·return·fe.coefficients();·}
37 ·22namespace·Dune·{·namespace·Impl 
38 ·23{ 
39 ·33·template<class·D,·class·R,·unsigned·int·k> 
40 ·34·class·LagrangePyramidLocalBasis 
41 ·35·{ 
42 ·36·public: 
43 ·37·using·Traits·= 
44 LocalBasisTraits<D,3,FieldVector<D,3>,R,1,FieldVector<R,1>,FieldMatrix<R,1,3> 
45 >; 
46 ·38 
47 ·41·static·constexpr·std::size_t·size·() 
48 ·42·{ 
49 ·43·std::size_t·result·=·0; 
50 ·44·for·(unsigned·int·i=0;·i<=k;·i++) 
51 ·45·result·+=·power(i+1,2); 
52 ·46·return·result; 
53 ·47·}47 ·47
 48 ·49
 49 78·typedef·std::shared_ptr<const·FiniteElement>·Store;
54 ·48 
55 ·50·void·evaluateFunction(const·typename·Traits::DomainType&·in, 
56 ·51·std::vector<typename·Traits::RangeType>&·out)·const 
57 ·52·{ 
58 ·53·out.resize(size()); 
59 ·54 
60 ·55·//·Specialization·for·zero-order·case 
61 ·56·if·(k==0) 
62 ·57·{ 
63 ·58·out[0]·=·1; 
64 ·59·return; 
65 ·60·} 
66 ·61 
67 ·62·if·(k==1) 
68 ·63·{ 
69 ·64·if(in[0]·>·in[1]) 
70 ·65·{ 
71 ·66·out[0]·=·(1-in[0])*(1-in[1])-in[2]*(1-in[1]); 
72 ·67·out[1]·=·in[0]*(1-in[1])-in[2]*in[1]; 
73 ·68·out[2]·=·(1-in[0])*in[1]-in[2]*in[1]; 
74 ·69·out[3]·=·in[0]*in[1]+in[2]*in[1]; 
75 ·70·} 
76 ·71·else 
77 ·72·{ 
78 ·73·out[0]·=·(1-in[0])*(1-in[1])-in[2]*(1-in[0]); 
79 ·74·out[1]·=·in[0]*(1-in[1])-in[2]*in[0]; 
80 ·75·out[2]·=·(1-in[0])*in[1]-in[2]*in[0]; 
81 ·76·out[3]·=·in[0]*in[1]+in[2]*in[0]; 
82 ·77·} 
83 ·78 
84 ·79·out[4]·=·in[2]; 
85 ·8050 ·80
 51 85·static·void·setStore(Store&·store,·const·FiniteElement&·fe)
 52 ·86·{·store·=·std::make_shared<const·FiniteElement>(fe);·}
 53 88·static·void·setStore(Store&·store,·FiniteElement&&·fe)
 54 ·89·{·store·=·std::make_shared<const·FiniteElement>(std::move(fe));·}
 55 91·static·void·setStore(Store&·store,·const·Store&·fe)
 56 ·92·{·store·=·fe;·}
 57 ·93·};
 58 ·94
 59 ·95#ifndef·DOXYGEN
 60 ·98·template<class·FiniteElement>
 61 ·99·struct·FiniteElementInterfaceSwitch<
 62 ·100·FiniteElement,
 63 ·101·typename·std::enable_if<AlwaysTrue<typename·FiniteElement::Traits::
 64 ·102·LocalBasisType>::value>::type
 65 ·103·>
86 ·81·return; 
87 ·82·} 
88 ·83 
89 ·84·if·(k==2) 
90 ·85·{ 
91 ·86·//·transform·to·reference·element·with·base·[-1,1]^2 
92 ·87·const·R·x·=·2.0*in[0]·+·in[2]·-·1.0; 
93 ·88·const·R·y·=·2.0*in[1]·+·in[2]·-·1.0; 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 Namespaces·|·Typedefs 
14 pk3d.hh·File·Reference 
15 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>12 ····*·common
 13 Classes·|·Namespaces
 14 interface.hh·File·Reference
 15 #include·<array>
 16 #include·<cstddef>
 17 #include·<vector>
 18 #include·<dune/geometry/type.hh>
 19 #include·<dune/localfunctions/common/localkey.hh>
16 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
 21 ·Classes
 22 ·class· Dune::FiniteElementInterface
 23  ·······Interface·for·global-valued·finite·elements.·More...
 24  
 25 struct· Dune::FiniteElementInterface::Traits
 26  ·······types·of·component·objects·More...
 27  
 28 ·class· Dune::FiniteElementFactoryInterface<_Geometry,_VertexOrder_>
 29  ·······Factory·interface·for·global-valued·finite·elements.·More...
 30  
 31 ·class· Dune::BasisInterface
 32  ·······Interface·for·global-valued·shape·functions.·More...
 33  
 34 struct· Dune::BasisInterface::Traits
 35  ·······types·of·domain·and·range·More...
 36  
 37 struct· Dune::InterpolationInterface
 38  ·······Interface·for·global-valued·interpolation.·More...
 39  
 40 struct· Dune::CoefficientsInterface
 41  ·······Interface·for·global-valued·coefficients.·More...
 42  
17 ·Namespaces43 ·Namespaces
18 namespace· Dune44 namespace· Dune
19  45  
20 ·Typedefs 
21 template<class·D·,·class·R·,·unsigned·int·k> 
22 using Dune::Pk3DLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R, 
23 ·······3,·k·> 
24   
  
25 ===============================================================================46 ===============================================================================
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 pk3d.hh12 ····*·common
 13 interface.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_Pk3DLOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_Pk3DLOCALFINITEELEMENT_HH20 ·5
 21 ·6#ifndef·DUNE_LOCALFUNCTIONS_INTERFACE_HH
 22 ·7#define·DUNE_LOCALFUNCTIONS_INTERFACE_HH
 23 ·8
 24 ·9#ifndef·HEADERCHECK
 25 ·10#error·This·header·exists·for·documentation·purposes·only·and·should·never
 26 be·included·directly.
 27 ·11#endif
 28 ·12
 29 ·13#include·<array>
 30 ·14#include·<cstddef>
 31 ·15#include·<vector>
 32 ·16
22 ·733 ·17
23 ·8#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>34 ·18#include·<dune/geometry/type.hh>
24 ·935 ·19
25 ·10#warning·This·header·is·deprecated 
26 ·1136 ·20#include·<dune/localfunctions/common/localkey.hh>
 37 ·21
27 ·12namespace·Dune38 ·22namespace·Dune·{
28 ·13{ 
29 ·14 
30 ·19·template<class·D,·class·R,·unsigned·int·k> 
31 20·using·Pk3DLocalFiniteElement 
32 ·21·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]] 
33 ·22·=·LagrangeSimplexLocalFiniteElement<D,R,3,k>; 
34 ·2339 ·23
35 ·24}40 25·class·FiniteElementInterface
 41 ·26·{
 42 ·27·struct·ImplementationDefined;
 43 ·28
 44 ·29·public:
 45 ·31
 46 34·struct·Traits
 47 ·35·{
 48 ·37
 49 42·typedef·ImplementationDefined·Basis;
 50 ·44
 51 49·typedef·ImplementationDefined·Coefficients;
 52 ·51
 53 56·typedef·ImplementationDefined·Interpolation;
 54 ·57·};
 55 ·58
 56 ·60
 57 67·FiniteElementInterface(...);
 58 69·FiniteElementInterface(const·FiniteElementInterface&);
 59 ·70
 60 ·72
 61 76·const·Traits::Basis&·basis()·const;
 62 ·78
 63 82·const·Traits::Coefficients&·coefficients()·const;
 64 ·84
 65 88·const·Traits::Interpolation&·interpolation()·const;
 66 90·GeometryType·type()·const;
 67 ·91·};
 68 ·92
 69 ·94
 70 ·114·template<class·Geometry,·class·VertexOrder>
 71 115·class·FiniteElementFactoryInterface
 72 ·116·{
 73 ·117·struct·ImplementationDefined;
 74 ·118
 75 ·119·public:
 76 ·121
 77 126·typedef·ImplementationDefined·FiniteElement;
 78 ·127
 79 ·129
 80 132·FiniteElementFactoryInterface(...);
 81 ·133
 82 ·154
 83 156·const·FiniteElement·make(const·Geometry&,·const·VertexOrder&,·...);
 84 158·const·FiniteElement·make(const·Geometry&,·...);
 85 160·const·FiniteElement·make(const·VertexOrder&,·...);
 86 ·162
 87 166·const·FiniteElement·make(const·GeometryType&,·...);
 88 168·const·FiniteElement·make(...);
 89 ·169
 90 ·171
 91 ·172·};
 92 ·173
 93 175·class·BasisInterface
 94 ·176·{
 95 ·177·struct·ImplementationDefined;
 96 ·178·constexpr·static·int·implementationDefined·=·42;
 97 ·179
 98 ·180·public:
 99 ·182
 100 187·struct·Traits
 101 ·188·{
 102 ·191
 103 193·typedef·ImplementationDefined·DomainFieldType;
 104 ·194
 105 196·constexpr·static·int·dimDomain·=·implementationDefined;
 106 ·197
 107 199·typedef·ImplementationDefined·DomainType;
 108 ·200
 109 ·202
36 ·25110 ·205
37 ·26#endif 
38 lagrangesimplex.hh111 207·typedef·ImplementationDefined·RangeFieldType;
 112 ·208
 113 210·constexpr·static·int·dimRange·=·implementationDefined;
 114 ·211
 115 213·typedef·ImplementationDefined·RangeType;
 116 ·214
 117 ·216
 118 ·218
 119 222·typedef·ImplementationDefined·Jacobian;
 120 ·223·};
 121 ·224
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13 ····*·p0 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 p0localcoefficients.hh·File·Reference14 localfiniteelementtraits.hh·File·Reference
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14 p0localcoefficients.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
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21 ·5#ifndef·DUNE_P0LOCALCOEFFICIENTS_HH20 ·5#ifndef·DUNE_LOCALFINITEELEMENTTRAITS_HH
22 ·6#define·DUNE_P0LOCALCOEFFICIENTS_HH21 ·6#define·DUNE_LOCALFINITEELEMENTTRAITS_HH
23 ·722 ·7
24 ·8#include·<cstddef> 
25 ·9#include·<iostream> 
26 ·10#include·<vector> 
27 ·11 
28 ·12#include·<dune/localfunctions/common/localkey.hh> 
29 ·13 
30 ·14namespace·Dune23 ·8namespace·Dune·{
31 ·15{ 
32 ·16 
33 23·class·P0LocalCoefficients 
34 ·24·{ 
35 ·25·public: 
36 27·P0LocalCoefficients·()·:·index(0,0,0) 
37 ·28·{} 
38 ·2924 ·9
39 31·std::size_t·size·()·const25 ·11·template<class·LB,·class·LC,·class·LI>
 26 12·struct·LocalFiniteElementTraits
40 ·32·{27 ·13·{
 28 16·typedef·LB·LocalBasisType;
 29 ·17
 30 20·typedef·LC·LocalCoefficientsType;
 31 ·21
 32 24·typedef·LI·LocalInterpolationType;
 33 ·25·};
 34 ·26
 35 ·27}
 36 ·28
41 ·33·return·1; 
42 ·34·} 
43 ·35 
44 37·const·LocalKey&·localKey·([[maybe_unused]]·std::size_t·i)·const 
45 ·38·{ 
46 ·39·return·index; 
47 ·40·} 
48 ·41 
49 ·42·private: 
50 ·43·LocalKey·index; 
51 ·44·}; 
52 ·45 
53 ·46} 
54 ·47#endif37 ·29#endif
55 localkey.hh 
56 Dune38 Dune
57 Definition·bdfmcube.hh:1839 Definition·bdfmcube.hh:18
58 Dune::LocalKey 
59 Describe·position·of·one·degree·of·freedom. 
60 Definition·localkey.hh:23 
61 Dune::P0LocalCoefficients 
62 Layout·map·for·P0·elements. 
63 Definition·p0localcoefficients.hh:24 
64 Dune::P0LocalCoefficients::P0LocalCoefficients40 Dune::LocalFiniteElementTraits
 41 traits·helper·struct
 42 Definition·localfiniteelementtraits.hh:13
 43 Dune::LocalFiniteElementTraits::LocalBasisType
 44 LB·LocalBasisType
 45 Definition·localfiniteelementtraits.hh:16
 46 Dune::LocalFiniteElementTraits::LocalCoefficientsType
65 P0LocalCoefficients()47 LC·LocalCoefficientsType
 48 Definition·localfiniteelementtraits.hh:20
 49 Dune::LocalFiniteElementTraits::LocalInterpolationType
 50 LI·LocalInterpolationType
 51 Definition·localfiniteelementtraits.hh:24
66 Standard·constructor. 
67 Definition·p0localcoefficients.hh:27 
68 Dune::P0LocalCoefficients::localKey 
69 const·LocalKey·&·localKey(std::size_t·i)·const 
70 get·i'th·index 
71 Definition·p0localcoefficients.hh:37 
72 Dune::P0LocalCoefficients::size 
73 std::size_t·size()·const 
74 number·of·coefficients 
75 Definition·p0localcoefficients.hh:31 
  
76 ===============================================================================52 ===============================================================================
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19 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
20 ·Classes20 ·Classes
21 class· Dune::P0LocalInterpolation<_LB_>21 struct· Dune::LocalFiniteElementCloneFactoryHelper<_Imp,_IsInterface_>
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 23 struct· Dune::LocalFiniteElementCloneFactory<_Imp_>
 24  
 25 ·class· Dune::LocalBasisVirtualImp<_T,_Imp_>
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 29  ·······class·for·wrapping·a·local·interpolation·using·the·virtual·interface
 30 ·········More...
 31  
 32 ·class· Dune::LocalCoefficientsVirtualImp<_Imp_>
 33  ·······class·for·wrapping·local·coefficients·using·the·virtual·interface
 34 ·········More...
 35  
 36 ·class· Dune::LocalFiniteElementVirtualImp<_Imp_>
 37  ·······class·for·wrapping·a·finite·element·using·the·virtual·interface
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13 ····*·p0 
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18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
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21 ·5#ifndef·DUNE_P0LOCALINTERPOLATION_HH 
22 ·6#define·DUNE_P0LOCALINTERPOLATION_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_COMMON_VIRTUALWRAPPERS_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_COMMON_VIRTUALWRAPPERS_HH
23 ·722 ·7
24 ·8#include·<vector>23 ·8#include·<array>
25 ·9#include·<dune/geometry/referenceelements.hh>24 ·9
26 ·10#include·<dune/localfunctions/common/localinterpolation.hh>25 ·10#include·<dune/localfunctions/common/localbasis.hh>
27 ·11 
28 ·1226 ·11#include·<dune/localfunctions/common/localkey.hh>
 27 ·12#include·<dune/localfunctions/common/virtualinterface.hh>
 28 ·13
29 ·13namespace·Dune29 ·14namespace·Dune
30 ·14{ 
31 ·1530 ·15{
 31 ·16
 32 ·17·//·forward·declaration·needed·by·friend·declarations
32 ·16·template<class·LB>33 ·18·template<class·Imp>
 34 ·19·class·LocalFiniteElementVirtualImp;
 35 ·20
 36 ·21·//·default·clone·method·is·the·copy·constructor
 37 ·22·template<class·Imp,·bool·IsInterface>
 38 23·struct·LocalFiniteElementCloneFactoryHelper
 39 ·24·{
 40 25·static·Imp*·clone(const·Imp&·imp)
33 17·class·P0LocalInterpolation 
34 ·18·{ 
35 ·19·public: 
36 20·P0LocalInterpolation·(const·GeometryType&·gt)·:·gt_(gt) 
37 ·21·{} 
38 ·22 
39 ·24·template<typename·F,·typename·C> 
40 25·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
41 ·26·{41 ·26·{
42 ·27·typedef·typename·LB::Traits::DomainType·DomainType; 
43 ·28·typedef·typename·LB::Traits::DomainFieldType·DF; 
44 ·29·const·int·dim=LB::Traits::dimDomain;42 ·27·return·new·Imp(imp);
 43 ·28·}
 44 ·29·};
45 ·3045 ·30
46 ·31·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
47 DomainType>(ff);46 ·31·//·if·FE·derives·from·virtual·interface·the·clone·method·is·used
 47 ·32·template<class·Imp>
 48 ·33·struct·LocalFiniteElementCloneFactoryHelper<Imp,·true>
 49 ·34·{
 50 ·35·static·Imp*·clone(const·Imp&·imp)
 51 ·36·{
 52 ·37·return·imp.clone();
 53 ·38·}
 54 ·39·};
 55 ·40
 56 ·41·//·factory·template·to·clone·and·create·an·objects
 57 ·42·template<class·Imp>
 58 43·struct·LocalFiniteElementCloneFactory
 59 ·44·{
 60 45·typedef·LocalFiniteElementVirtualInterface<typename_Imp::Traits::
 61 LocalBasisType::Traits>·Interface;
 62 ·46
 63 47·static·Imp*·clone(const·Imp&·imp)
 64 ·48·{
 65 ·49·return·LocalFiniteElementCloneFactoryHelper<Imp,_std::is_base_of<Interface,
 66 Imp>::value>::clone(imp);
 67 ·50·}
 68 ·51
 69 52·static·Imp*·create()
 70 ·53·{
 71 ·54·return·new·Imp;
 72 ·55·}
 73 ·56·};
 74 ·57
 75 ·58
 76 ·59
 77 ·60·//·-----------------------------------------------------------------
 78 ·61·//·Basis
 79 ·62·//·-----------------------------------------------------------------
 80 ·63
 81 ·64
 82 ·65
 83 ·72·template<class·T·,·class·Imp>
 84 73·class·LocalBasisVirtualImp
 85 ·74·:·public·LocalBasisVirtualInterface<T>
 86 ·75·{
 87 ·76·template<class·FEImp>
 88 77·friend·class·LocalFiniteElementVirtualImp;
 89 ·78
 90 ·79·protected:
 91 ·80
 92 82·LocalBasisVirtualImp(·const·Imp·&imp·)
 93 ·83·:·impl_(imp)
 94 ·84·{}
 95 ·85
 96 ·86·public:
 97 87·using·Traits·=·T;
 98 ·88
 99 90·unsigned·int·size·()·const
 100 ·91·{
 101 ·92·return·impl_.size();
 102 ·93·}
 103 ·94
 104 96·unsigned·int·order·()·const
 105 ·97·{
 106 ·98·return·impl_.order();
 107 ·99·}
 108 ·100
 109 102·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 110 ·103·std::vector<typename·Traits::RangeType>&·out)·const
 111 ·104·{
 112 ·105·impl_.evaluateFunction(in,out);
 113 ·106·}
 114 ·107
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15 p0localbasis.hh·File·Reference 
16 #include·<numeric> 
17 #include·<dune/common/fmatrix.hh>13 orthonormal.hh·File·Reference
 14 #include·<dune/localfunctions/utility/localfiniteelement.hh>
 15 #include·<dune/localfunctions/utility/dglocalcoefficients.hh>
 16 #include·<dune/localfunctions/utility/l2interpolation.hh>
18 #include·<dune/localfunctions/common/localbasis.hh>17 #include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>
19 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
20 ·Classes19 ·Classes
21 class· Dune::P0LocalBasis<_D,_R,_d_> 
22  ······Constant·shape·function.·More...20 class· Dune::OrthonormalLocalFiniteElement<_dimDomain,_D,_R,_SF,_CF_>
 21  ······A·class·providing·orthonormal·basis·functions.·More...
23  22  
24 ·Namespaces23 ·Namespaces
25 namespace· Dune24 namespace· Dune
26  25  
  
27 ===============================================================================26 ===============================================================================
28 ·····Generated·by [doxygen]·1.9.827 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 orthonormal.hh
12 ····*·lagrange 
13 ····*·p0 
14 p0localbasis.hh 
15 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_P0LOCALBASIS_HH 
22 ·6#define·DUNE_P0LOCALBASIS_HH19 ·5#ifndef·DUNE_ORTHONORMALFINITEELEMENT_HH
 20 ·6#define·DUNE_ORTHONORMALFINITEELEMENT_HH
23 ·721 ·7
 22 ·8#include·<dune/localfunctions/utility/localfiniteelement.hh>
 23 ·9#include·<dune/localfunctions/utility/dglocalcoefficients.hh>
 24 ·10#include·<dune/localfunctions/utility/l2interpolation.hh>
24 ·8#include·<numeric> 
25 ·9 
26 ·10#include·<dune/common/fmatrix.hh> 
27 ·11 
28 ·12#include·<dune/localfunctions/common/localbasis.hh>25 ·11#include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>
29 ·1326 ·12
30 ·14namespace·Dune27 ·13namespace·Dune
31 ·15{28 ·14{
 29 ·32·template<·unsigned·int·dimDomain,·class·D,·class·R,
 30 ·33·class·SF=R,·class·CF=SF·>
 31 34·class·OrthonormalLocalFiniteElement
 32 ·35·:·public·GenericLocalFiniteElement<·OrthonormalBasisFactory<·dimDomain,·SF,
 33 CF·>,
 34 ·36·DGLocalCoefficientsFactory<·OrthonormalBasisFactory<·dimDomain,·SF,·CF·>·>,
 35 ·37·LocalL2InterpolationFactory<·OrthonormalBasisFactory<·dimDomain,·SF,·CF
 36 >,true·>·>
32 ·28·template<class·D,·class·R,·int·d> 
33 29·class·P0LocalBasis 
34 ·30·{ 
35 ·31·public: 
36 ·33·typedef·LocalBasisTraits<D,d,Dune::FieldVector<D,d>,R,1,Dune:: 
37 FieldVector<R,1>, 
38 34·Dune::FieldMatrix<R,1,d>·>·Traits; 
39 ·35 
40 37·unsigned·int·size·()·const 
41 ·38·{37 ·38·{
 38 ·39·typedef·GenericLocalFiniteElement<_OrthonormalBasisFactory<_dimDomain,_SF,
 39 CF_>,
 40 ·40·DGLocalCoefficientsFactory<_OrthonormalBasisFactory<_dimDomain,_SF,_CF_>·>,
 41 ·41·LocalL2InterpolationFactory<_OrthonormalBasisFactory<_dimDomain,_SF,_CF
 42 >,true·>·>·Base;
 43 ·42·public:
 44 ·43·using·typename·Base::Traits;
 45 ·44
 46 47·OrthonormalLocalFiniteElement·(·const·GeometryType·&gt,·unsigned·int·order·)
 47 ·48·:·Base(gt,·order)
 48 ·49·{}
 49 ·50·};
 50 ·51
42 ·39·return·1; 
43 ·40·} 
44 ·41 
45 43·inline·void·evaluateFunction·(const·typename·Traits::DomainType&, 
46 ·44·std::vector<typename·Traits::RangeType>&·out)·const 
47 ·45·{ 
48 ·46·out.resize(1); 
49 ·47·out[0]·=·1; 
50 ·48·} 
51 ·49 
52 ·51·inline·void 
53 52·evaluateJacobian·(const·typename·Traits::DomainType&,·//·position 
54 ·53·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value 
55 ·54·{ 
56 ·55·out.resize(1); 
57 ·56·for·(int·i=0;·i<d;·i++) 
58 ·57·out[0][0][i]·=·0; 
59 ·58·} 
60 ·59 
61 65·void·partial(const·std::array<unsigned·int,d>&·order, 
62 ·66·const·typename·Traits::DomainType&·in, 
63 ·67·std::vector<typename·Traits::RangeType>&·out)·const 
64 ·68·{ 
65 ·69·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0); 
66 ·70·if·(totalOrder·==·0)·{ 
67 ·71·evaluateFunction(in,·out); 
68 ·72·}·else·{ 
69 ·73·out.resize(1); 
70 ·74·out[0]·=·0; 
71 ·75·} 
72 ·76·} 
73 ·77 
74 79·unsigned·int·order·()·const 
75 ·80·{ 
76 ·81·return·0; 
77 ·82·} 
78 ·83·}; 
79 ·84 
80 ·85}51 ·52}
81 ·8652 ·53
82 ·87#endif53 ·54#endif
 54 orthonormalbasis.hh
 55 l2interpolation.hh
 56 dglocalcoefficients.hh
83 Dune57 Dune
84 Definition·bdfmcube.hh:1858 Definition·bdfmcube.hh:18
 59 Dune::OrthonormalLocalFiniteElement
 60 A·class·providing·orthonormal·basis·functions.
 61 Definition·orthonormal.hh:38
 62 Dune::OrthonormalLocalFiniteElement::OrthonormalLocalFiniteElement
 63 OrthonormalLocalFiniteElement(const·GeometryType·&gt,·unsigned·int·order)
 64 Definition·orthonormal.hh:47
 65 Dune::DGLocalCoefficientsFactory
 66 A·factory·class·for·the·dg·local·coefficients.
 67 Definition·dglocalcoefficients.hh:59
 68 Dune::LocalL2InterpolationFactory
 69 A·factory·class·for·the·local·l2·interpolations·taking·a·basis·factory.
 70 Definition·l2interpolation.hh:199
 71 Dune::GenericLocalFiniteElement
 72 A·LocalFiniteElement·implementation·based·on·three·TopologyFactories·providing
 73 the·LocalBasis,...
 74 Definition·localfunctions/utility/localfiniteelement.hh:25
 75 Dune::GenericLocalFiniteElement::Traits
 76 LocalFiniteElementTraits<·typename·BasisF::Object,·typename·CoeffF::Object,
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange12 ····*·meta
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 lagrangecube.hh·File·Reference 
15 #include·<array>14 power.hh·File·Reference
 15 #include·<cstddef>
16 #include·<numeric>16 #include·<memory>
17 #include·<dune/common/fmatrix.hh> 
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/common/math.hh> 
20 #include·<dune/geometry/referenceelements.hh>17 #include·<dune/geometry/type.hh>
21 #include·<dune/localfunctions/common/localbasis.hh>18 #include·<dune/localfunctions/meta/power/basis.hh>
22 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>19 #include·<dune/localfunctions/meta/power/coefficients.hh>
23 #include·<dune/localfunctions/common/localinterpolation.hh>20 #include·<dune/localfunctions/meta/power/interpolation.hh>
24 #include·<dune/localfunctions/common/localkey.hh> 
25 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
26 ·Classes22 ·Classes
27 class· Dune::LagrangeCubeLocalFiniteElement<_D,_R,_dim,_k_> 
28  ······Lagrange·finite·element·for·cubes·with·arbitrary·compile-time·dimension 
29 ········and·polynomial·order.·More...23 ·class· Dune::PowerFiniteElement<_Backend,_dimR_>
 24  ·······Meta-finite·element·turning·a·scalar·finite·element·into·vector-valued
 25 ·········one.·More...
 26  
 27 struct· Dune::PowerFiniteElement<_Backend,_dimR_>::Traits
 28  ·······types·of·component·objects·More...
 29  
 30 ·class· Dune::PowerFiniteElementFactory<_BackendFiniteElement,_dimR_>
 31  ·······Factory·for·meta-finite·elements·turning·scalar·finite·elements·into
 32 ·········vector-valued·ones.·More...
30  33  
31 ·Namespaces34 ·Namespaces
32 namespace· Dune35 namespace· Dune
33  36  
  
34 ===============================================================================37 ===============================================================================
35 ·····Generated·by [doxygen]·1.9.838 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·lagrangecube.hh·Source·File</title>8 <title>dune-localfunctions:·power.hh·Source·File</title>
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10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 lagrangecube.hh12 ····*·meta
 13 power.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGECUBE_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGECUBE_HH 
22 ·7 
23 ·8#include·<array>20 ·5
 21 ·6#ifndef·DUNE_LOCALFUNCTIONS_META_POWER_HH
 22 ·7#define·DUNE_LOCALFUNCTIONS_META_POWER_HH
 23 ·8
 24 ·9#include·<cstddef>
24 ·9#include·<numeric>25 ·10#include·<memory>
 26 ·11
 27 ·12#include·<dune/geometry/type.hh>
 28 ·13
25 ·10 
26 ·11#include·<dune/common/fmatrix.hh> 
27 ·12#include·<dune/common/fvector.hh> 
28 ·13#include·<dune/common/math.hh> 
29 ·14 
30 ·15#include·<dune/geometry/referenceelements.hh> 
31 ·16 
32 ·17#include·<dune/localfunctions/common/localbasis.hh>29 ·14#include·<dune/localfunctions/meta/power/basis.hh>
33 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>30 ·15#include·<dune/localfunctions/meta/power/coefficients.hh>
34 ·19#include·<dune/localfunctions/common/localinterpolation.hh>31 ·16#include·<dune/localfunctions/meta/power/interpolation.hh>
 32 ·17
 33 ·18namespace·Dune·{
 34 ·19
 35 ·22
 36 ·28·template<class·Backend,·std::size_t·dimR>
 37 29·class·PowerFiniteElement·{
 38 ·30·public:
 39 32·struct·Traits·{
 40 34·typedef·PowerBasis<typename_Backend::Traits::Basis,_dimR>·Basis;
 41 36·typedef·PowerCoefficients·Coefficients;
 42 ·38·typedef·PowerInterpolation<typename·Backend::Traits::Interpolation,
 43 39·typename·Basis::Traits>·Interpolation;
 44 ·40·};
 45 ·41·private:
 46 ·42·std::shared_ptr<const·Backend>·backend;
 47 ·43·typename·Traits::Basis·basis_;
 48 ·44·typename·Traits::Coefficients·coefficients_;
 49 ·45·typename·Traits::Interpolation·interpolation_;
 50 ·46
 51 ·47·public:
 52 ·49
 53 53·PowerFiniteElement(const·Backend·&backend_)·:
 54 ·54·backend(new·Backend(backend_)),
 55 ·55·basis_(backend->basis()),
 56 ·56·coefficients_(backend->coefficients(),·dimR),
 57 ·57·interpolation_(backend->interpolation())
35 ·20#include·<dune/localfunctions/common/localkey.hh> 
36 ·21 
37 ·22namespace·Dune·{·namespace·Impl 
38 ·23{ 
39 ·24·//·Forward·declaration 
40 ·25·template<class·LocalBasis> 
41 ·26·class·LagrangeCubeLocalInterpolation; 
42 ·27 
43 ·38·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·k> 
44 ·39·class·LagrangeCubeLocalBasis 
45 ·40·{ 
46 ·41·friend·class 
47 LagrangeCubeLocalInterpolation<LagrangeCubeLocalBasis<D,R,dim,k>·>; 
48 ·42 
49 ·43·//·i-th·Lagrange·polynomial·of·degree·k·in·one·dimension 
50 ·44·static·R·p(unsigned·int·i,·D·x) 
51 ·45·{ 
52 ·46·R·result(1.0); 
53 ·47·for·(unsigned·int·j=0;·j<=k;·j++) 
54 ·48·if·(j!=i)·result·*=·(k*x-j)/((int)i-(int)j); 
55 ·49·return·result; 
56 ·50·} 
57 ·51 
58 ·52·//·derivative·of·ith·Lagrange·polynomial·of·degree·k·in·one·dimension 
59 ·53·static·R·dp(unsigned·int·i,·D·x) 
60 ·54·{ 
61 ·55·R·result(0.0); 
62 ·56 
63 ·57·for·(unsigned·int·j=0;·j<=k;·j++) 
64 ·58·{58 ·58·{·}
 59 ·59
 60 ·61
 61 65·PowerFiniteElement(const·std::shared_ptr<const·Backend>·&backendSPtr)·:
 62 ·66·backend(backendSPtr),
 63 ·67·basis_(backend->basis()),
 64 ·68·coefficients_(backend->coefficients(),·dimR),
 65 ·69·interpolation_(backend->interpolation())
 66 ·70·{·}
 67 ·71
 68 ·73
 69 77·const·typename·Traits::Basis&·basis()·const·{·return·basis_;·}
 70 ·79
 71 83·const·typename·Traits::Coefficients&·coefficients()·const
 72 ·84·{·return·coefficients_;·}
 73 ·86
 74 90·const·typename·Traits::Interpolation&·interpolation()·const
 75 ·91·{·return·interpolation_;·}
 76 93·GeometryType·type()·const·{·return·backend->type();·}
65 ·59·if·(j!=i) 
66 ·60·{ 
67 ·61·R·prod(·(k*1.0)/((int)i-(int)j)·); 
68 ·62·for·(unsigned·int·l=0;·l<=k;·l++) 
69 ·63·if·(l!=i·&&·l!=j) 
70 ·64·prod·*=·(k*x-l)/((int)i-(int)l); 
71 ·65·result·+=·prod; 
72 ·66·} 
73 ·67·} 
74 ·68·return·result; 
75 ·69·} 
76 ·70 
77 ·71·//·Second·derivative·of·j-th·Lagrange·polynomial·of·degree·k·in·one 
78 dimension 
79 ·72·//·Formula·and·notation·taken·from·https://en.wikipedia.org/wiki/ 
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10 ····*·dune10 ····*·dune
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 15 brezzidouglasmarinisimplex.hh>
12 ····*·lagrange 
13 Classes·|·Namespaces·|·Typedefs 
14 q1.hh·File·Reference 
15 #include·<dune/geometry/type.hh> 
16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
17 #include·<dune/localfunctions/common/localtoglobaladaptors.hh> 
18 #include·<dune/localfunctions/lagrange/lagrangecube.hh> 
19 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
20 ·Classes 
21 class· Dune::Q1FiniteElementFactory<_Geometry,_RF_> 
22  ······Factory·for·global-valued·Q1·elements.·More... 
23   
24 ·Namespaces 
25 namespace· Dune 
26   
27 ·Typedefs 
28 template<class·D·,·class·R·,·int·dim> 
29 using Dune::Q1LocalFiniteElement·=·LagrangeCubeLocalFiniteElement<·D,·R,·dim, 
30 ·······1·> 
31  ·····The·local·Q1·finite·element·on·cubes. 
32   
  
33 ===============================================================================17 ===============================================================================
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12 ····*·lagrange 
13 q1.hh 
14 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
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 19 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_HH
 20 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_HH
 21 ·7
 22 ·8//·BDM·implementations·with·compile-time·order
 23 ·9#include·<dune/localfunctions/brezzidouglasmarini/brezzidouglasmarinicube.hh>
 24 ·10#include·<dune/localfunctions/brezzidouglasmarini/
 25 brezzidouglasmarinisimplex.hh>
 26 ·11
 27 ·12#endif·//·#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_HH
 28 brezzidouglasmarinicube.hh
 29 brezzidouglasmarinisimplex.hh
20 ·5 
21 ·6#ifndef·DUNE_Q1_LOCALFINITEELEMENT_HH 
22 ·7#define·DUNE_Q1_LOCALFINITEELEMENT_HH 
23 ·8 
24 ·9#include·<dune/geometry/type.hh> 
25 ·10 
26 ·11#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
27 ·12#include·<dune/localfunctions/common/localtoglobaladaptors.hh> 
28 ·13#include·<dune/localfunctions/lagrange/lagrangecube.hh> 
29 ·14 
30 ·15#warning·This·header·is·deprecated 
31 ·16 
32 ·17namespace·Dune 
33 ·18{ 
34 ·19 
35 ·27·template<class·D,·class·R,·int·dim> 
36 28·using·Q1LocalFiniteElement 
37 ·29·[[deprecated("use·LagrangeCubeLocalFiniteElement·instead")]] 
38 ·30·=·LagrangeCubeLocalFiniteElement<D,R,dim,1>; 
39 ·31 
40 ·32 
41 ·34 
42 ·39·template<class·Geometry,·class·RF> 
43 40·class·Q1FiniteElementFactory·: 
44 ·41·public·ScalarLocalToGlobalFiniteElementAdaptorFactory< 
45 ·42·LagrangeCubeLocalFiniteElement< 
46 ·43·typename·Geometry::ctype,·RF,·Geometry::mydimension,·1 
47 ·44·>, 
48 ·45·Geometry 
49 ·46·> 
50 ·47·{ 
51 ·48·typedef·LagrangeCubeLocalFiniteElement< 
52 ·49·typename·Geometry::ctype,·RF,·Geometry::mydimension,·1 
53 ·50·>·LFE; 
54 ·51·typedef·ScalarLocalToGlobalFiniteElementAdaptorFactory<LFE,_Geometry>·Base; 
55 ·52 
56 ·53·static·const·LFE·lfe; 
57 ·54 
58 ·55·public: 
59 57·Q1FiniteElementFactory()·:·Base(lfe)·{} 
60 ·58·}; 
61 ·59 
62 ·60·template<class·Geometry,·class·RF> 
63 ·61·const·typename·Q1FiniteElementFactory<Geometry,·RF>::LFE 
64 ·62·Q1FiniteElementFactory<Geometry,·RF>::lfe; 
65 ·63} 
66 ·64 
67 ·65#endif 
68 lagrangecube.hh 
69 localfiniteelementtraits.hh 
70 localtoglobaladaptors.hh 
71 Dune 
72 Definition·bdfmcube.hh:18 
73 Dune::ScalarLocalToGlobalFiniteElementAdaptorFactory 
74 Factory·for·ScalarLocalToGlobalFiniteElementAdaptor·objects. 
75 Definition·localtoglobaladaptors.hh:244 
76 Dune::LagrangeCubeLocalFiniteElement 
77 Lagrange·finite·element·for·cubes·with·arbitrary·compile-time·dimension·and 
78 polynomial·order. 
79 Definition·lagrangecube.hh:711 
80 Dune::Q1FiniteElementFactory 
81 Factory·for·global-valued·Q1·elements. 
82 Definition·q1.hh:47 
83 Dune::Q1FiniteElementFactory::Q1FiniteElementFactory 
84 Q1FiniteElementFactory() 
85 default·constructor 
86 Definition·q1.hh:57 
  
87 ===============================================================================30 ===============================================================================
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13 Classes·|·Namespaces 
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14 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
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20 ·5#ifndef·DUNE_LAGRANGE_EMPTYPOINTS_HH 
21 ·6#define·DUNE_LAGRANGE_EMPTYPOINTS_HH19 ·5#ifndef·DUNE_LOCALFUNCTIONS_DUALMORTARBASIS_HH
 20 ·6#define·DUNE_LOCALFUNCTIONS_DUALMORTARBASIS_HH
22 ·721 ·7
 22 ·8#include·<dune/localfunctions/dualmortarbasis/dualp1.hh>
 23 ·9#include·<dune/localfunctions/dualmortarbasis/dualq1.hh>
23 ·8#include·<vector> 
24 ·9 
25 ·10#include·<dune/common/fvector.hh> 
26 ·11#include·<dune/localfunctions/common/localkey.hh> 
27 ·12 
28 ·13namespace·Dune 
29 ·14{ 
30 ·15 
31 ·16·template<·class·F,·unsigned·int·dim·> 
32 17·class·LagrangePoint 
33 ·18·{ 
34 ·19·typedef·LagrangePoint<_F,_dim_>·This; 
35 ·20 
36 ·21·template<·class,·class·> 
37 22·friend·class·LagrangePointSetImpl; 
38 ·23 
39 ·24·public: 
40 25·static·const·int·dimension·=·dim; 
41 ·26 
42 27·typedef·F·Field; 
43 ·28 
44 29·typedef·FieldVector<·Field,·dimension·>·Vector; 
45 ·30 
46 31·const·Vector·&point·()·const 
47 ·32·{ 
48 ·33·return·point_; 
49 ·34·} 
50 ·35 
51 36·const·LocalKey·&localKey·()·const 
52 ·37·{ 
53 ·38·return·localKey_; 
54 ·39·} 
55 ·40 
56 41·const·Field·weight·()·const 
57 ·42·{ 
58 ·43·return·weight_; 
59 ·44·} 
60 ·45 
61 46·Vector·point_·=·{}; 
62 47·LocalKey·localKey_·=·{}; 
63 48·Field·weight_·=·{}; 
64 ·49·}; 
65 ·50 
66 ·51·//·EmptyPointSet 
67 ·52·//·-------------- 
68 ·53 
69 ·54·template<·class·F,·unsigned·int·dim·> 
70 55·class·EmptyPointSet 
71 ·56·{ 
72 ·57·typedef·EmptyPointSet<_F,_dim_>·This; 
73 ·58 
74 ·59·public: 
75 60·typedef·F·Field; 
76 ·61 
77 62·static·const·unsigned·int·dimension·=·dim; 
78 ·63 
79 64·typedef·Dune::LagrangePoint<_Field,_dimension_>·LagrangePoint; 
80 ·65 
81 66·typedef·typename·std::vector<·LagrangePoint·>::const_iterator·iterator; 
82 ·67 
83 ·68·protected: 
84 69·EmptyPointSet·(·const·std::size_t·order·) 
85 ·70·:·order_(·order·) 
86 ·71·{} 
87 ·72 
88 ·73·public: 
89 74·const·LagrangePoint·&operator[](·const·unsigned·int·i·)·const 
90 ·75·{ 
91 ·76·assert(·i·<·size()·); 
92 ·77·return·points_[·i·]; 
93 ·78·} 
94 ·79 
95 80·iterator·begin·()·const 
96 ·81·{ 
97 ·82·return·points_.begin(); 
98 ·83·} 
99 ·84 
100 85·iterator·end·()·const 
101 ·86·{ 
102 ·87·return·points_.end(); 
103 ·88·} 
104 ·89 
105 90·const·LocalKey·&localKey·(·const·unsigned·int·i·)·const 
106 ·91·{ 
107 ·92·return·(*this)[·i·].localKey(); 
108 ·93·} 
109 ·94 
110 95·std::size_t·order·()·const 
111 ·96·{ 
112 ·97·return·order_; 
113 ·98·} 
114 ·99 
115 100·std::size_t·size·()·const 
116 ·101·{ 
117 ·102·return·points_.size(); 
118 ·103·} 
119 ·10424 ·10
 25 ·11#endif·//·#ifndef·DUNE_LOCALFUNCTIONS_DUALMORTARBASIS_HH
 26 dualq1.hh
 27 dualp1.hh
120 ·105·protected: 
121 106·std::size_t·order_; 
122 107·std::vector<·LagrangePoint·>·points_; 
123 ·108·}; 
124 ·109 
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12 <link·href="search/search.css"·rel="stylesheet"·type="text/css"/>12 <link·href="search/search.css"·rel="stylesheet"·type="text/css"/>
13 <script·type="text/javascript"·src="search/searchdata.js"></script>13 <script·type="text/javascript"·src="search/searchdata.js"></script>
14 <script·type="text/javascript"·src="search/search.js"></script>14 <script·type="text/javascript"·src="search/search.js"></script>
15 <link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>15 <link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange12 ····*·whitney
13 Classes·|·Namespaces·|·Typedefs13 Classes·|·Namespaces
14 pk1d.hh·File·Reference14 edges0.5.hh·File·Reference
15 #include·<cstddef> 
16 #include·<dune/geometry/type.hh>15 #include·<dune/geometry/type.hh>
17 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
18 #include·<dune/localfunctions/common/localtoglobaladaptors.hh> 
19 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>16 #include·<dune/localfunctions/whitney/edges0.5/basis.hh>
 17 #include·<dune/localfunctions/whitney/edges0.5/coefficients.hh>
 18 #include·<dune/localfunctions/whitney/edges0.5/interpolation.hh>
20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
21 ·Classes20 ·Classes
22 ·class· Dune::Pk1DFiniteElement<_Geometry,_RF,_k_>21 ·class· Dune::EdgeS0_5FiniteElement<_Geometry,_RF_>
23  ·······Langrange·finite·element·of·arbitrary·order·on·triangles.·More...22  ·······FiniteElement·for·lowest·order·edge·elements·on·simplices.·More...
24  23  
25 struct· Dune::Pk1DFiniteElement<_Geometry,_RF,_k_>::Traits24 struct· Dune::EdgeS0_5FiniteElement<_Geometry,_RF_>::Traits
26  25  
27 struct· Dune::Pk1DFiniteElementFactory<_Geometry,_RF,_k_>26 struct· Dune::EdgeS0_5FiniteElementFactory<_Geometry,_RF_>
28  ·······Factory·for·Pk1DFiniteElement·objects.·More...27  ·······Factory·for·EdgeS0_5FiniteElement·objects.·More...
29  28  
30 ·Namespaces29 ·Namespaces
31 namespace· Dune30 namespace· Dune
32  31  
33 ·Typedefs 
34 template<class·D·,·class·R·,·unsigned·int·k> 
35 using Dune::Pk1DLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R, 
36 ·······1,·k·> 
37  ·····Lagrange·finite·element·on·the·unit·interval·with·arbitrary·compile-time 
38 ·······order. 
39   
  
40 ===============================================================================32 ===============================================================================
41 ·····Generated·by [doxygen]·1.9.833 ·····Generated·by [doxygen]·1.9.8
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1 <!DOCTYPE·html·PUBLIC·"-//W3C//DTD·XHTML·1.0·Transitional//EN"·"https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">1 <!DOCTYPE·html·PUBLIC·"-//W3C//DTD·XHTML·1.0·Transitional//EN"·"https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
2 <html·xmlns="http://www.w3.org/1999/xhtml"·lang="en-US">2 <html·xmlns="http://www.w3.org/1999/xhtml"·lang="en-US">
3 <head>3 <head>
4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>
5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>
6 <meta·name="generator"·content="Doxygen·1.9.8"/>6 <meta·name="generator"·content="Doxygen·1.9.8"/>
7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>
8 <title>dune-localfunctions:·pk1d.hh·Source·File</title>8 <title>dune-localfunctions:·edges0.5.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
11 <script·type="text/javascript"·src="dynsections.js"></script>11 <script·type="text/javascript"·src="dynsections.js"></script>
12 <link·href="search/search.css"·rel="stylesheet"·type="text/css"/>12 <link·href="search/search.css"·rel="stylesheet"·type="text/css"/>
13 <script·type="text/javascript"·src="search/searchdata.js"></script>13 <script·type="text/javascript"·src="search/searchdata.js"></script>
14 <script·type="text/javascript"·src="search/search.js"></script>14 <script·type="text/javascript"·src="search/search.js"></script>
15 <link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>15 <link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>
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html2text {}
    
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 pk1d.hh12 ····*·whitney
 13 edges0.5.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5
 21 ·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_HH
 22 ·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_HH
 23 ·8
20 ·5#ifndef·DUNE_PK1DLOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_PK1DLOCALFINITEELEMENT_HH 
22 ·7 
23 ·8#include·<cstddef> 
24 ·9 
25 ·10#include·<dune/geometry/type.hh>24 ·9#include·<dune/geometry/type.hh>
 25 ·10
 26 ·11#include·<dune/localfunctions/whitney/edges0.5/basis.hh>
 27 ·12#include·<dune/localfunctions/whitney/edges0.5/coefficients.hh>
 28 ·13#include·<dune/localfunctions/whitney/edges0.5/interpolation.hh>
 29 ·14
26 ·11 
27 ·12#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
28 ·13#include·<dune/localfunctions/common/localtoglobaladaptors.hh> 
29 ·14#include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
30 ·15 
31 ·16#warning·This·header·is·deprecated 
32 ·17 
33 ·18namespace·Dune30 ·15namespace·Dune·{
 31 ·16
 32 ·18·//
 33 ·19·//·FiniteElement
 34 ·20·//
 35 ·21
 36 ·23
34 ·19{ 
35 ·20 
36 ·25·template<class·D,·class·R,·unsigned·int·k> 
37 26·using·Pk1DLocalFiniteElement 
38 ·27·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]] 
39 ·28·=·LagrangeSimplexLocalFiniteElement<D,R,1,k>; 
40 ·29 
41 ·30 
42 ·32 
43 ·39·template<class·Geometry,·class·RF,·std::size_t·k>37 ·41·template<class·Geometry,·class·RF>
44 40·class·Pk1DFiniteElement·{38 42·class·EdgeS0_5FiniteElement·{
45 ·41·typedef·typename·Geometry::ctype·DF; 
46 ·42·typedef·Impl::LagrangeSimplexLocalBasis<DF,RF,1,k>·LocalBasis; 
47 ·43·typedef·Impl::LagrangeSimplexLocalInterpolation<LocalBasis> 
48 LocalInterpolation; 
49 ·44 
50 ·45·public:39 ·43·public:
51 49·struct·Traits·{40 47·struct·Traits·{
 41 48·typedef·EdgeS0_5Basis<Geometry,_RF>·Basis;
 42 ·49·typedef·EdgeS0_5Interpolation<Geometry,
 43 50·typename·Basis::Traits>·Interpolation;
 44 51·typedef·EdgeS0_5Coefficients<Geometry::mydimension>·Coefficients;
52 50·typedef·ScalarLocalToGlobalBasisAdaptor<LocalBasis,_Geometry>·Basis; 
53 ·51·typedef·LocalToGlobalInterpolationAdaptor< 
54 ·52·LocalInterpolation, 
55 ·53·typename·Basis::Traits 
56 54·>·Interpolation; 
57 55·typedef·Impl::LagrangeSimplexLocalCoefficients<1,k>·Coefficients; 
58 ·56·};45 ·52·};
59 ·5746 ·53
60 ·58·private:47 ·54·private:
61 ·59·static·const·GeometryType·gt; 
62 ·60·static·const·LocalBasis·localBasis; 
63 ·61·static·const·LocalInterpolation·localInterpolation; 
64 ·62 
65 ·63·typename·Traits::Basis·basis_;48 ·55·typename·Traits::Basis·basis_;
66 ·64·typename·Traits::Interpolation·interpolation_;49 ·56·typename·Traits::Interpolation·interpolation_;
67 ·65·typename·Traits::Coefficients·coefficients_;50 ·57·static·const·typename·Traits::Coefficients&·coefficients_;
68 ·6651 ·58
69 ·67·public:52 ·59·public:
 53 ·61
 54 ·64·template<class·VertexOrder>
 55 65·EdgeS0_5FiniteElement(const·Geometry&·geo,
 56 ·66·const·VertexOrder&·vertexOrder)·:
 57 ·67·basis_(geo,·vertexOrder),·interpolation_(geo,·vertexOrder)
 58 ·68·{·}
70 ·6959 ·69
71 ·82·template<class·VertexOrder> 
72 83·Pk1DFiniteElement(const·Geometry·&geometry, 
73 ·84·const·VertexOrder&·vertexOrder)·: 
74 ·85·basis_(localBasis,·geometry),·interpolation_(localInterpolation), 
75 ·86·coefficients_(vertexOrder.begin(0,·0)) 
76 ·87·{·} 
77 ·88 
78 89·const·typename·Traits::Basis&·basis()·const·{·return·basis_;·}60 71·const·typename·Traits::Basis&·basis()·const·{·return·basis_;·}
79 90·const·typename·Traits::Interpolation&·interpolation()·const61 73·const·typename·Traits::Interpolation&·interpolation()·const
80 ·91·{·return·interpolation_;·}62 ·74·{·return·interpolation_;·}
81 92·const·typename·Traits::Coefficients&·coefficients()·const63 76·const·typename·Traits::Coefficients&·coefficients()·const
82 ·93·{·return·coefficients_;·}64 ·77·{·return·coefficients_;·}
83 94·const·GeometryType·&type()·const·{·return·gt;·} 
84 ·95·}; 
85 ·9665 79·static·constexpr·GeometryType·type()·{·return·GeometryTypes::simplex
 66 (Geometry::mydimension);·}
 67 ·80·};
 68 ·81
86 ·97·template<class·Geometry,·class·RF,·std::size_t·k>69 ·82·template<class·Geometry,·class·RF>
87 ·98·const·GeometryType 
88 ·99·Pk1DFiniteElement<Geometry,·RF,·k>::gt(GeometryTypes::simplex(2)); 
89 ·10070 ·83·const·typename·EdgeS0_5FiniteElement<Geometry,_RF>::Traits::Coefficients&
 71 ·84·EdgeS0_5FiniteElement<Geometry,·RF>::coefficients_·=
 72 ·85·typename·Traits::Coefficients();
 73 ·86
 74 ·88·//
 75 ·89·//·Factory
 76 ·90·//
 77 ·91
 78 ·93
90 ·101·template<class·Geometry,·class·RF,·std::size_t·k>79 ·102·template<class·Geometry,·class·RF>
91 ·102·const·typename·Pk1DFiniteElement<Geometry,·RF,·k>::LocalBasis 
92 ·103·Pk1DFiniteElement<Geometry,·RF,·k>::localBasis·=·LocalBasis(); 
93 ·104 
94 ·105·template<class·Geometry,·class·RF,·std::size_t·k> 
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2 <html·xmlns="http://www.w3.org/1999/xhtml"·lang="en-US">2 <html·xmlns="http://www.w3.org/1999/xhtml"·lang="en-US">
3 <head>3 <head>
4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>
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6 <meta·name="generator"·content="Doxygen·1.9.8"/>6 <meta·name="generator"·content="Doxygen·1.9.8"/>
7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>
8 <title>dune-localfunctions:·pyramidp2.hh·File·Reference</title>8 <title>dune-localfunctions:·common.hh·File·Reference</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
11 <script·type="text/javascript"·src="dynsections.js"></script>11 <script·type="text/javascript"·src="dynsections.js"></script>
12 <link·href="search/search.css"·rel="stylesheet"·type="text/css"/>12 <link·href="search/search.css"·rel="stylesheet"·type="text/css"/>
13 <script·type="text/javascript"·src="search/searchdata.js"></script>13 <script·type="text/javascript"·src="search/searchdata.js"></script>
14 <script·type="text/javascript"·src="search/search.js"></script>14 <script·type="text/javascript"·src="search/search.js"></script>
15 <link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>15 <link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 Namespaces·|·Typedefs 
14 pyramidp2.hh·File·Reference 
15 #include·<dune/localfunctions/lagrange/lagrangepyramid.hh>12 ····*·whitney
 13 ····*·edges0.5
 14 Classes·|·Namespaces
 15 common.hh·File·Reference
 16 #include·<cstddef>
 17 #include·<dune/geometry/dimension.hh>
 18 #include·<dune/geometry/referenceelements.hh>
 19 #include·<dune/geometry/type.hh>
16 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
 21 ·Classes
 22 struct· Dune::EdgeS0_5Common<_dim,_DF_>
 23  ·······Common·base·class·for·edge·elements.·More...
 24  
17 ·Namespaces25 ·Namespaces
18 namespace· Dune26 namespace· Dune
19  27  
20 ·Typedefs 
21 template<class·D·,·class·R·> 
22 using Dune::PyramidP2LocalFiniteElement·=·LagrangePyramidLocalFiniteElement< 
23 ·······D,·R,·2·> 
24  ·····Second-order·Lagrangian·finite·element·on·a·three-dimensional·pyramid. 
25   
  
26 ===============================================================================28 ===============================================================================
27 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>
8 <title>dune-localfunctions:·pyramidp2.hh·Source·File</title>8 <title>dune-localfunctions:·common.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
11 <script·type="text/javascript"·src="dynsections.js"></script>11 <script·type="text/javascript"·src="dynsections.js"></script>
12 <link·href="search/search.css"·rel="stylesheet"·type="text/css"/>12 <link·href="search/search.css"·rel="stylesheet"·type="text/css"/>
13 <script·type="text/javascript"·src="search/searchdata.js"></script>13 <script·type="text/javascript"·src="search/searchdata.js"></script>
14 <script·type="text/javascript"·src="search/search.js"></script>14 <script·type="text/javascript"·src="search/search.js"></script>
15 <link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>15 <link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 pyramidp2.hh12 ····*·whitney
 13 ····*·edges0.5
 14 common.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_PYRAMIDP2_3DLOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_PYRAMIDP2_3DLOCALFINITEELEMENT_HH 
22 ·7 
23 ·8#include·<dune/localfunctions/lagrange/lagrangepyramid.hh> 
24 ·9 
25 ·10#warning·This·header·is·deprecated 
26 ·11 
27 ·12namespace·Dune 
28 ·13{21 ·5
 22 ·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COMMON_HH
 23 ·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COMMON_HH
 24 ·8
 25 ·9#include·<cstddef>
 26 ·10
 27 ·11#include·<dune/geometry/dimension.hh>
 28 ·12#include·<dune/geometry/referenceelements.hh>
 29 ·13#include·<dune/geometry/type.hh>
29 ·1430 ·14
30 ·19·template<class·D,·class·R> 
31 20·using·PyramidP2LocalFiniteElement 
32 ·21·[[deprecated("use·LagrangePyramidLocalFiniteElement·instead")]] 
33 ·22·=·LagrangePyramidLocalFiniteElement<D,R,2>; 
34 ·2331 ·15namespace·Dune·{
 32 ·16
 33 ·18·template<std::size_t·dim,·class·DF·=·double>
 34 19·struct·EdgeS0_5Common·{
 35 21·using·RefElem·=
 36 ·22·decltype(referenceElement(DF{},·GeometryTypes::simplex(dim),
 37 ·23·Dim<dim>{}));
35 ·24}38 ·24
36 ·25 
37 ·26#endif 
38 lagrangepyramid.hh39 26·RefElem·refelem·=·referenceElement(DF{},·GeometryTypes::simplex(dim),
 40 ·27·Dim<dim>{});
 41 ·28
 42 ·30
 43 34·std::size_t·s·=·refelem.size(dim-1);
 44 ·35·};
 45 ·36
 46 ·37}·//·namespace·Dune
 47 ·38
 48 ·39#endif·//·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COMMON_HH
39 Dune49 Dune
40 Definition·bdfmcube.hh:1850 Definition·bdfmcube.hh:18
41 Dune::LagrangePyramidLocalFiniteElement 
42 Lagrange·finite·element·for·3d·pyramids·with·compile-time·polynomial·order. 
43 Definition·lagrangepyramid.hh:81251 Dune::EdgeS0_5Common
 52 Common·base·class·for·edge·elements.
 53 Definition·common.hh:19
 54 Dune::EdgeS0_5Common::refelem
 55 RefElem·refelem
 56 The·reference·element·for·this·edge·element.
 57 Definition·common.hh:26
 58 Dune::EdgeS0_5Common::RefElem
 59 decltype(referenceElement(DF{},·GeometryTypes::simplex(dim),·Dim<·dim·>{}))
 60 RefElem
 61 The·type·of·the·referenceElement.
 62 Definition·common.hh:23
 63 Dune::EdgeS0_5Common::s
 64 std::size_t·s
 65 The·number·of·base·functions.
 66 Definition·common.hh:34
  
44 ===============================================================================67 ===============================================================================
45 ·····Generated·by [doxygen]·1.9.868 ·····Generated·by [doxygen]·1.9.8
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange12 ····*·nedelec
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 q2.hh·File·Reference14 nedelec1stkindcube.hh·File·Reference
 15 #include·<numeric>
15 #include·<dune/common/typetraits.hh>16 #include·<dune/common/fmatrix.hh>
 17 #include·<dune/common/fvector.hh>
 18 #include·<dune/common/math.hh>
 19 #include·<dune/geometry/referenceelements.hh>
16 #include·<dune/geometry/type.hh>20 #include·<dune/geometry/type.hh>
 21 #include·<dune/localfunctions/common/localbasis.hh>
17 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>22 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
18 #include·<dune/localfunctions/common/localtoglobaladaptors.hh>23 #include·<dune/localfunctions/common/localinterpolation.hh>
19 #include·<dune/localfunctions/lagrange/lagrangecube.hh>24 #include·<dune/localfunctions/common/localkey.hh>
20 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
21 Go_to_the_source_code_of_this_file.25 Go_to_the_source_code_of_this_file.
22 ·Classes26 ·Classes
23 class· Dune::Q2FiniteElementFactory<_Geometry,_RF_> 
24  ······Factory·for·global-valued·Q23D·elements.·More...27 class· Dune::Nedelec1stKindCubeLocalFiniteElement<_D,_R,_dim,_k_>
 28  ······Nédélec·elements·of·the·first·kind·for·cube·elements.·More...
25  29  
26 ·Namespaces30 ·Namespaces
27 namespace· Dune31 namespace· Dune
28  32  
  
29 ===============================================================================33 ===============================================================================
30 ·····Generated·by [doxygen]·1.9.834 ·····Generated·by [doxygen]·1.9.8
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9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 q2.hh12 ····*·nedelec
 13 nedelec1stkindcube.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_Q2_LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_Q2_LOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDCUBE_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDCUBE_HH
22 ·722 ·7
 23 ·8#include·<numeric>
 24 ·9
23 ·8#include·<dune/common/typetraits.hh>25 ·10#include·<dune/common/fmatrix.hh>
 26 ·11#include·<dune/common/fvector.hh>
 27 ·12#include·<dune/common/math.hh>
24 ·9#include·<dune/geometry/type.hh> 
25 ·10 
26 ·11#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
27 ·12#include·<dune/localfunctions/common/localtoglobaladaptors.hh> 
28 ·1328 ·13
29 ·14#include·<dune/localfunctions/lagrange/lagrangecube.hh> 
30 ·15#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>29 ·14#include·<dune/geometry/referenceelements.hh>
 30 ·15#include·<dune/geometry/type.hh>
31 ·1631 ·16
 32 ·17#include·<dune/localfunctions/common/localbasis.hh>
 33 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 34 ·19#include·<dune/localfunctions/common/localinterpolation.hh>·//·For
 35 deprecated·makeFunctionWithCallOperator
 36 ·20#include·<dune/localfunctions/common/localkey.hh>
 37 ·21
32 ·17namespace·Dune38 ·22namespace·Dune
 39 ·23{
 40 ·24namespace·Impl
 41 ·25{
 42 ·36·template<class·D,·class·R,·int·dim,·int·k>
 43 ·37·class·Nedelec1stKindCubeLocalBasis
33 ·18{ 
34 ·20 
35 ·25·template<class·Geometry,·class·RF> 
36 26·class·Q2FiniteElementFactory·: 
37 ·27·public·ScalarLocalToGlobalFiniteElementAdaptorFactory< 
38 ·28·typename·std::conditional<Geometry::mydimension·==·1, 
39 ·29·LagrangeSimplexLocalFiniteElement<typename·Geometry::ctype,·RF,·1,·2>, 
40 ·30·LagrangeCubeLocalFiniteElement<typename·Geometry::ctype,·RF,·Geometry:: 
41 mydimension,·2>·>::type, 
42 ·31·Geometry> 
43 ·32·{44 ·38·{
 45 ·39·//·Number·of·edges·of·the·reference·cube
 46 ·40·constexpr·static·std::size_t·numberOfEdges·=·power(2,dim-1)*dim;
 47 ·41
44 ·33·typedef·typename·std::conditional<Geometry::mydimension·==·1, 
45 ·34·LagrangeSimplexLocalFiniteElement<typename_Geometry::ctype,_RF,_1,_2>, 
46 ·35·LagrangeCubeLocalFiniteElement<typename_Geometry::ctype,_RF,_Geometry:: 
47 mydimension,_2>·>::type·LFE; 
48 ·36·typedef·ScalarLocalToGlobalFiniteElementAdaptorFactory<LFE,_Geometry>·Base; 
49 ·37 
50 ·38·static·const·LFE·lfe; 
51 ·39 
52 ·40·public:48 ·42·public:
53 42·Q2FiniteElementFactory()·:·Base(lfe)·{} 
54 ·43·};49 ·43·using·Traits·=·LocalBasisTraits<D,dim,FieldVector<D,dim>,
 50 ·44·R,dim,FieldVector<R,dim>,
 51 ·45·FieldMatrix<R,dim,dim>·>;
 52 ·46
 53 ·53·Nedelec1stKindCubeLocalBasis()
 54 ·54·{
 55 ·55·std::fill(edgeOrientation_.begin(),·edgeOrientation_.end(),·1.0);
 56 ·56·}
 57 ·57
 58 ·60·Nedelec1stKindCubeLocalBasis(std::bitset<numberOfEdges>·edgeOrientation)
 59 ·61·:·Nedelec1stKindCubeLocalBasis()
 60 ·62·{
 61 ·63·for·(std::size_t·i=0;·i<edgeOrientation_.size();·i++)
 62 ·64·edgeOrientation_[i]·*=·edgeOrientation[i]·?·-1.0·:·1.0;
 63 ·65·}
 64 ·66
 65 ·68·static·constexpr·unsigned·int·size()
 66 ·69·{
 67 ·70·static_assert(dim==2·||·dim==3,·"Nedelec·shape·functions·are·implemented
 68 only·for·2d·and·3d·cubes.");
 69 ·71·if·(dim==2)
 70 ·72·return·2*k·*·(k+1);
 71 ·73·if·(dim==3)
 72 ·74·return·3*k·*·(k+1)·*·(k+1);
 73 ·75·}
 74 ·76
 75 ·82·void·evaluateFunction(const·typename·Traits::DomainType&·in,
 76 ·83·std::vector<typename·Traits::RangeType>&·out)·const
 77 ·84·{
 78 ·85·static_assert(k==1,·"Evaluating·Nédélec·shape·functions·is·implemented·only
 79 for·first·order.");
 80 ·86·out.resize(size());
 81 ·87
 82 ·88·if·(dim==2)
 83 ·89·{
 84 ·90·//·First-order·Nédélec·shape·functions·on·a·square·are·of·the·form
 85 ·91·//
 86 ·92·//·(a,·b)^T·+·(c·y,·d·x)^T,·a,·b,·c,·d·\in·R
 87 ·93·//
 88 ·94·//·The·following·coefficients·create·the·four·basis·vectors
 89 ·95·//·that·are·dual·to·the·edge·degrees·of·freedom:
 90 ·96·//
 91 ·97·//·a[0]·=·0·b[0]·=·1·c[0]·=·0·d[0]·=·-1
 92 ·98·//·a[1]·=·0·b[1]·=·0·c[1]·=·0·d[1]·=·1
 93 ·99·//·a[2]·=·1·b[2]·=·0·c[2]·=·0·d[2]·=·-1
 94 ·100·//·a[3]·=·0·b[3]·=·0·c[3]·=·0·d[3]·=·1
 95 ·101
 96 ·102·out[0]·=·{·0,·D(1)·-·in[0]};
 97 ·103·out[1]·=·{·0,·in[0]};
 98 ·104·out[2]·=·{·D(1)·-·in[1],·0};
 99 ·105·out[3]·=·{·in[1],·0};
 100 ·106·}
 101 ·107
 102 ·108·if·constexpr·(dim==3)
 103 ·109·{
 104 ·110·//·First-order·Nédélec·shape·functions·on·a·cube·are·of·the·form
 105 ·111·//
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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12 ····*·lagrange 
13 Namespaces·|·Typedefs 
14 qk.hh·File·Reference12 ····*·nedelec
 13 Classes·|·Namespaces
 14 nedelec1stkindsimplex.hh·File·Reference
 15 #include·<numeric>
 16 #include·<dune/common/fmatrix.hh>
 17 #include·<dune/common/fvector.hh>
 18 #include·<dune/geometry/referenceelements.hh>
 19 #include·<dune/geometry/type.hh>
 20 #include·<dune/localfunctions/common/localbasis.hh>
 21 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 22 #include·<dune/localfunctions/common/localinterpolation.hh>
15 #include·<dune/localfunctions/lagrange/lagrangecube.hh>23 #include·<dune/localfunctions/common/localkey.hh>
16 Go_to_the_source_code_of_this_file.24 Go_to_the_source_code_of_this_file.
 25 ·Classes
 26 class· Dune::Nedelec1stKindSimplexLocalFiniteElement<_D,_R,_dim,_k_>
 27  ······Nédélec·elements·of·the·first·kind·for·simplex·elements.·More...
 28  
17 ·Namespaces29 ·Namespaces
18 namespace· Dune30 namespace· Dune
19  31  
20 ·Typedefs 
21 template<class·D·,·class·R·,·int·d,·int·k> 
22 using Dune::QkLocalFiniteElement·=·LagrangeCubeLocalFiniteElement<·D,·R,·d,·k 
23 ·······> 
24  ·····General·Lagrange·finite·element·for·cubes·with·arbitrary·dimension·and 
25 ·······polynomial·order. 
26   
  
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 qk.hh12 ····*·nedelec
 13 nedelec1stkindsimplex.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5 
21 ·6#ifndef·DUNE_LOCALFUNCTIONS_QK_LOCALFINITEELEMENT_HH 
22 ·7#define·DUNE_LOCALFUNCTIONS_QK_LOCALFINITEELEMENT_HH 
23 ·8 
24 ·9#include·<dune/localfunctions/lagrange/lagrangecube.hh> 
25 ·10 
26 ·11#warning·This·header·is·deprecated20 ·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDSIMPLEX_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDSIMPLEX_HH
 22 ·7
 23 ·8#include·<numeric>
 24 ·9
 25 ·10#include·<dune/common/fmatrix.hh>
 26 ·11#include·<dune/common/fvector.hh>
27 ·1227 ·12
 28 ·13#include·<dune/geometry/referenceelements.hh>
 29 ·14#include·<dune/geometry/type.hh>
 30 ·15
 31 ·16#include·<dune/localfunctions/common/localbasis.hh>
 32 ·17#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 33 ·18#include·<dune/localfunctions/common/localinterpolation.hh>·//·For
 34 deprecated·makeFunctionWithCallOperator
 35 ·19#include·<dune/localfunctions/common/localkey.hh>
 36 ·20
28 ·13namespace·Dune37 ·21namespace·Dune
 38 ·22{
 39 ·23namespace·Impl
29 ·14{40 ·24{
30 ·25·template<class·D,·class·R,·int·d,·int·k>41 ·35·template<class·D,·class·R,·int·dim,·int·k>
31 26·using·QkLocalFiniteElement 
32 ·27·[[deprecated("use·LagrangeCubeLocalFiniteElement·instead")]] 
33 ·28·=·LagrangeCubeLocalFiniteElement<D,R,d,k>;42 ·36·class·Nedelec1stKindSimplexLocalBasis
 43 ·37·{
 44 ·38·//·Number·of·edges·of·the·reference·simplex
 45 ·39·constexpr·static·std::size_t·numberOfEdges·=·dim*(dim+1)/2;
 46 ·40
 47 ·41·public:
 48 ·42·using·Traits·=·LocalBasisTraits<D,dim,FieldVector<D,dim>,
 49 ·43·R,dim,FieldVector<R,dim>,
 50 ·44·FieldMatrix<R,dim,dim>·>;
 51 ·45
 52 ·52·Nedelec1stKindSimplexLocalBasis()
 53 ·53·{
 54 ·54·std::fill(edgeOrientation_.begin(),·edgeOrientation_.end(),·1.0);
 55 ·55·}
 56 ·56
 57 ·59·Nedelec1stKindSimplexLocalBasis(std::bitset<numberOfEdges>·edgeOrientation)
 58 ·60·:·Nedelec1stKindSimplexLocalBasis()
 59 ·61·{
 60 ·62·for·(std::size_t·i=0;·i<edgeOrientation_.size();·i++)
 61 ·63·edgeOrientation_[i]·*=·edgeOrientation[i]·?·-1.0·:·1.0;
 62 ·64·}
 63 ·65
 64 ·67·static·constexpr·unsigned·int·size()
 65 ·68·{
 66 ·69·static_assert(dim==2·||·dim==3,·"Nedelec·shape·functions·are·implemented
 67 only·for·2d·and·3d·simplices.");
 68 ·70·if·(dim==2)
 69 ·71·return·k·*·(k+2);
 70 ·72·if·(dim==3)
 71 ·73·return·k·*·(k+2)·*·(k+3)·/·2;
 72 ·74·}
 73 ·75
 74 ·81·void·evaluateFunction(const·typename·Traits::DomainType&·in,
 75 ·82·std::vector<typename·Traits::RangeType>&·out)·const
 76 ·83·{
 77 ·84·static_assert(k==1,·"Evaluating·Nédélec·shape·functions·is·implemented·only
 78 for·first·order.");
 79 ·85·out.resize(size());
 80 ·86
 81 ·87·if·(dim==2)
 82 ·88·{
 83 ·89·//·First-order·Nédélec·shape·functions·on·a·triangle·are·of·the·form
 84 ·90·//
 85 ·91·//·(a1,·a2)·+·b(-x2,·x1)^T,·a_1,·a_2,·b·\in·R
 86 ·92·out[0]·=·{D(1)·-·in[1],·in[0]};
 87 ·93·out[1]·=·{in[1],·-in[0]+D(1)};
 88 ·94·out[2]·=·{-in[1],·in[0]};
 89 ·95·}
 90 ·96
 91 ·97·if·constexpr·(dim==3)
 92 ·98·{
 93 ·99·//·First-order·Nédélec·shape·functions·on·a·tetrahedron·are·of·the·form
 94 ·100·//
 95 ·101·//·a·+·b·\times·x,·a,·b·\in·R^3
 96 ·102·//
 97 ·103·//·The·following·coefficients·create·the·six·basis·vectors
 98 ·104·//·that·are·dual·to·the·edge·degrees·of·freedom:
 99 ·105·//
 100 ·106·//·a[0]·=·{·1,·0,·0}·b[0]·=·{·0,·-1,·1}
 101 ·107·//·a[1]·=·{·0,·1,·0}·b[1]·=·{·1,·0,·-1}
 102 ·108·//·a[2]·=·{·0,·0,·0}·b[2]·=·{·0,·0,·1}
 103 ·109·//·a[3]·=·{·0,·0,·1}·b[3]·=·{-1,·1,·0}
 104 ·110·//·a[4]·=·{·0,·0,·0}·b[4]·=·{·0,·-1,·0}
 105 ·111·//·a[5]·=·{·0,·0,·0}·b[5]·=·{·1,·0,·0}
 106 ·112·//
 107 ·113·//·The·following·implementation·uses·these·values,·and·simply
 108 ·114·//·skips·all·the·zeros.
 109 ·115
 110 ·116·out[0]·=·{·1·-·in[1]·-·in[2],·in[0]·,·in[0]·};
 111 ·117·out[1]·=·{·in[1]·,·1·-·in[0]·-·in[2],·in[1]};
 112 ·118·out[2]·=·{·-·in[1]·,·in[0]·,·0·};
 113 ·119·out[3]·=·{·in[2],·in[2],·1·-·in[0]·-·in[1]};
 114 ·120·out[4]·=·{·-in[2],·0·,·in[0]·};
 115 ·121·out[5]·=·{·0·,·-in[2],·in[1]};
 116 ·122·}
 117 ·123
 118 ·124·for·(std::size_t·i=0;·i<out.size();·i++)
 119 ·125·out[i]·*=·edgeOrientation_[i];
 120 ·126·}
 121 ·127
 122 ·133·void·evaluateJacobian(const·typename·Traits::DomainType&·in,
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange12 ····*·nedelec
 13 ····*·nedelecsimplex
13 Classes·|·Namespaces·|·Typedefs14 Classes·|·Namespaces
14 pk2d.hh·File·Reference15 nedelecsimplexbasis.hh·File·Reference
15 #include·<cstddef>16 #include·<fstream>
16 #include·<dune/geometry/type.hh> 
17 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
18 #include·<dune/localfunctions/common/localtoglobaladaptors.hh> 
19 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>17 #include·<dune/common/exceptions.hh>
 18 #include·<dune/localfunctions/utility/defaultbasisfactory.hh>
 19 #include·"nedelecsimplexinterpolation.hh"
 20 #include·"nedelecsimplexprebasis.hh"
20 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
21 ·Classes22 ·Classes
 23 struct· Dune::NedelecBasisFactory<_dim,_SF,_CF_>
22 ·class· Dune::Pk2DFiniteElement<_Geometry,_RF,_k_> 
23  ·······Langrange·finite·element·of·arbitrary·order·on·triangles.·More... 
24   
25 struct· Dune::Pk2DFiniteElement<_Geometry,_RF,_k_>::Traits 
26   
27 struct· Dune::Pk2DFiniteElementFactory<_Geometry,_RF,_k_> 
28  ·······Factory·for·Pk2DFiniteElement·objects.·More... 
29  24  
30 ·Namespaces25 ·Namespaces
31 namespace· Dune26 namespace· Dune
32  27  
33 ·Typedefs 
34 template<class·D·,·class·R·,·unsigned·int·k> 
35 using Dune::Pk2DLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R, 
36 ·······2,·k·> 
37   
  
38 ===============================================================================28 ===============================================================================
39 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 pk2d.hh12 ····*·nedelec
 13 ····*·nedelecsimplex
 14 nedelecsimplexbasis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_PK2DLOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_PK2DLOCALFINITEELEMENT_HH 
22 ·721 ·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
 22 ·6
 23 ·7#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
 24 ·8
23 ·8#include·<cstddef>25 ·9#include·<fstream>
 26 ·10#include·<dune/common/exceptions.hh>
24 ·9 
25 ·10#include·<dune/geometry/type.hh> 
26 ·1127 ·11
27 ·12#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
28 ·13#include·<dune/localfunctions/common/localtoglobaladaptors.hh> 
29 ·14#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>28 ·12#include·<dune/localfunctions/utility/defaultbasisfactory.hh>
 29 ·13#include·"nedelecsimplexinterpolation.hh"
 30 ·14#include·"nedelecsimplexprebasis.hh"
30 ·1531 ·15
31 ·16#warning·This·header·is·deprecated 
32 ·17 
33 ·18namespace·Dune32 ·16namespace·Dune
34 ·19{33 ·17{
 34 ·18·/*
 35 ·19·*·`NedelecPreBasisFactory`·provides·a·basis·for·the·Nedelec·function·space.
 36 ·20·*·`NedelecL2InterpolationFactory`·provides·the·linear·functionals.
 37 ·21·*
 38 ·22·*·`Defaultbasisfactory::create`·first·builds·the·function·space·and·the
 39 linear·functionals.
 40 ·23·*·Then·the·constructor·of·`BasisMatrix`·gets·called.·There·the·matrix
 41 ·24·*
 42 ·25·*·\begin{equation}
 43 ·26·*·A_{i,j}·:=·N_j(\phi_i)
 44 ·27·*·\end{equation}
 45 ·28·*
 46 ·29·*·with·linear·functionals·$N_j$·and·basisfunctions·$\phi_i$·gets·assembled.
 47 ·30·*·Then·the·matrix·gets·inverted·and·is·then·used·as·a·coefficent·matrix·for
 48 the·standard·monomial·basis.
 49 ·31·*
 50 ·32·*·For·more·details·on·the·theory·see·the·first·chapter·"Construction·of
 51 Local·Finite·Element·Spaces·Using·the·Generic·Reference·Elements"
 52 ·33·*·of·the·book·"Advances·in·Dune"·by·Dedner,·Flemisch·and·Klöfkorn·published
 53 in·2012.
 54 ·34·*/
 55 ·35
 56 ·36·template<·unsigned·int·dim,·class·SF,·class·CF·>
 57 37·struct·NedelecBasisFactory
 58 ·38·:·public·DefaultBasisFactory<·NedelecPreBasisFactory<dim,CF>,
 59 ·39·NedelecL2InterpolationFactory<dim,CF>,
 60 ·40·dim,dim,SF,CF·>
 61 ·41·{};
 62 ·42}
 63 ·43
 64 ·44#endif·//·#ifndef
 65 DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
 66 nedelecsimplexinterpolation.hh
 67 nedelecsimplexprebasis.hh
 68 defaultbasisfactory.hh
35 ·20 
36 ·25·template<class·D,·class·R,·unsigned·int·k> 
37 26·using·Pk2DLocalFiniteElement 
38 ·27·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]] 
39 ·28·=·LagrangeSimplexLocalFiniteElement<D,R,2,k>; 
40 ·29 
41 ·30 
42 ·32 
43 ·39·template<class·Geometry,·class·RF,·std::size_t·k> 
44 40·class·Pk2DFiniteElement·{ 
45 ·41·typedef·typename·Geometry::ctype·DF; 
46 ·42·typedef·Impl::LagrangeSimplexLocalBasis<DF,RF,2,k>·LocalBasis; 
47 ·43·typedef·Impl::LagrangeSimplexLocalInterpolation<LocalBasis> 
48 LocalInterpolation; 
49 ·44 
50 ·45·public: 
51 49·struct·Traits·{ 
52 50·typedef·ScalarLocalToGlobalBasisAdaptor<LocalBasis,_Geometry>·Basis; 
53 ·51·typedef·LocalToGlobalInterpolationAdaptor< 
54 ·52·LocalInterpolation, 
55 ·53·typename·Basis::Traits 
56 54·>·Interpolation; 
57 55·typedef·Impl::LagrangeSimplexLocalCoefficients<2,k>·Coefficients; 
58 ·56·}; 
59 ·57 
60 ·58·private: 
61 ·59·static·const·GeometryType·gt; 
62 ·60·static·const·LocalBasis·localBasis; 
63 ·61·static·const·LocalInterpolation·localInterpolation; 
64 ·62 
65 ·63·typename·Traits::Basis·basis_; 
66 ·64·typename·Traits::Interpolation·interpolation_; 
67 ·65·typename·Traits::Coefficients·coefficients_; 
68 ·66 
69 ·67·public: 
70 ·69 
71 ·82·template<class·VertexOrder> 
72 83·Pk2DFiniteElement(const·Geometry·&geometry, 
73 ·84·const·VertexOrder&·vertexOrder)·: 
74 ·85·basis_(localBasis,·geometry),·interpolation_(localInterpolation), 
75 ·86·coefficients_(vertexOrder.begin(0,·0)) 
76 ·87·{·} 
77 ·88 
78 89·const·typename·Traits::Basis&·basis()·const·{·return·basis_;·} 
79 90·const·typename·Traits::Interpolation&·interpolation()·const 
80 ·91·{·return·interpolation_;·} 
81 92·const·typename·Traits::Coefficients&·coefficients()·const 
82 ·93·{·return·coefficients_;·} 
83 94·const·GeometryType·&type()·const·{·return·gt;·} 
84 ·95·}; 
85 ·96 
86 ·97·template<class·Geometry,·class·RF,·std::size_t·k> 
87 ·98·const·GeometryType 
88 ·99·Pk2DFiniteElement<Geometry,·RF,·k>::gt(GeometryTypes::simplex(2)); 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 Namespaces·|·Typedefs 
14 prismp2.hh·File·Reference 
15 #include·<dune/localfunctions/lagrange/lagrangeprism.hh>12 ····*·nedelec
 13 ····*·nedelecsimplex
 14 Classes·|·Namespaces
 15 nedelecsimplexinterpolation.hh·File·Reference
 16 #include·<fstream>
 17 #include·<utility>
 18 #include·<numeric>
 19 #include·<dune/common/exceptions.hh>
 20 #include·<dune/geometry/quadraturerules.hh>
 21 #include·<dune/geometry/referenceelements.hh>
 22 #include·<dune/geometry/type.hh>
 23 #include·<dune/localfunctions/common/localkey.hh>
 24 #include·<dune/localfunctions/utility/interpolationhelper.hh>
 25 #include·<dune/localfunctions/utility/polynomialbasis.hh>
 26 #include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>
16 Go_to_the_source_code_of_this_file.27 Go_to_the_source_code_of_this_file.
 28 ·Classes
 29 ·class· Dune::LocalCoefficientsContainer
 30  
 31 struct· Dune::NedelecCoefficientsFactory<_dim_>
 32  
 33 struct· Dune::NedelecL2InterpolationBuilder<_dim,_Field_>
 34  
 35 ·class· Dune::NedelecL2Interpolation<_dimension,_F_>
 36  ·······An·L2-based·interpolation·for·Nedelec.·More...
 37  
 38 struct· Dune::NedelecL2InterpolationFactory<_dim,_Field_>
 39  
17 ·Namespaces40 ·Namespaces
18 namespace· Dune41 namespace· Dune
19  42  
20 ·Typedefs 
21 template<class·D·,·class·R·> 
22 using Dune::PrismP2LocalFiniteElement·=·LagrangePrismLocalFiniteElement<·D,·R, 
23 ·······2·> 
24  ·····Second-order·Lagrange·finite·element·on·a·three-dimensional·prism. 
25   
  
26 ===============================================================================43 ===============================================================================
27 ·····Generated·by [doxygen]·1.9.844 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 prismp2.hh12 ····*·nedelec
 13 ····*·nedelecsimplex
 14 nedelecsimplexinterpolation.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_PRISM2_3DLOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_PRISM2_3DLOCALFINITEELEMENT_HH21 ·5#ifndef
 22 DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXINTERPOLATION_HH
 23 ·6#define
 24 DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXINTERPOLATION_HH
22 ·725 ·7
23 ·8#include·<dune/localfunctions/lagrange/lagrangeprism.hh> 
24 ·9 
25 ·10#warning·This·header·is·deprecated26 ·8#include·<fstream>
 27 ·9#include·<utility>
 28 ·10#include·<numeric>
26 ·1129 ·11
 30 ·12#include·<dune/common/exceptions.hh>
 31 ·13
 32 ·14#include·<dune/geometry/quadraturerules.hh>
 33 ·15#include·<dune/geometry/referenceelements.hh>
 34 ·16#include·<dune/geometry/type.hh>
 35 ·17
 36 ·18#include·<dune/localfunctions/common/localkey.hh>
 37 ·19#include·<dune/localfunctions/utility/interpolationhelper.hh>
 38 ·20#include·<dune/localfunctions/utility/polynomialbasis.hh>
 39 ·21#include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>
 40 ·22
27 ·12namespace·Dune41 ·23namespace·Dune
28 ·13{ 
29 ·14 
30 ·19·template<class·D,·class·R> 
31 20·using·PrismP2LocalFiniteElement 
32 ·21·[[deprecated("use·LagrangePrismLocalFiniteElement·instead")]] 
33 ·22·=·LagrangePrismLocalFiniteElement<D,R,2>; 
34 ·23 
35 ·24}42 ·24{
36 ·2543 ·25
37 ·26#endif 
38 lagrangeprism.hh44 ·26·//·Internal·Forward·Declarations
 45 ·27·//·-----------------------------
 46 ·28
 47 ·29·template·<·unsigned·int·dim,·class·Field·>
 48 ·30·struct·NedelecL2InterpolationFactory;
 49 ·31
 50 ·32
 51 ·33
 52 ·34·//·LocalCoefficientsContainer
 53 ·35·//·--------------------------
 54 ·36
 55 37·class·LocalCoefficientsContainer
 56 ·38·{
 57 ·39·typedef·LocalCoefficientsContainer·This;
 58 ·40
 59 ·41·public:
 60 ·42·template·<class·Setter>
 61 43·LocalCoefficientsContainer·(·const·Setter·&setter·)
 62 ·44·{
 63 ·45·setter.setLocalKeys(localKey_);
 64 ·46·}
 65 ·47
 66 48·const·LocalKey·&localKey·(·const·unsigned·int·i·)·const
 67 ·49·{
 68 ·50·assert(·i·<·size()·);
 69 ·51·return·localKey_[·i·];
 70 ·52·}
 71 ·53
 72 54·std::size_t·size·()·const
 73 ·55·{
 74 ·56·return·localKey_.size();
 75 ·57·}
 76 ·58
 77 ·59·private:
 78 ·60·std::vector<·LocalKey·>·localKey_;
 79 ·61·};
 80 ·62
 81 ·63
 82 ·64
 83 ·65·//·NedelecCoefficientsFactory
 84 ·66·//·--------------------------------
 85 ·67
 86 ·68·template·<·unsigned·int·dim·>
 87 69·struct·NedelecCoefficientsFactory
 88 ·70·{
 89 71·typedef·std::size_t·Key;
 90 72·typedef·const·LocalCoefficientsContainer·Object;
 91 ·73
 92 ·74·template<·GeometryType::Id·geometryId·>
 93 75·static·Object·*create(·const·Key·&key·)
 94 ·76·{
 95 ·77·typedef·NedelecL2InterpolationFactory<_dim,_double_>·InterpolationFactory;
 96 ·78·if(·!supports<·geometryId·>(·key·)·)
 97 ·79·return·nullptr;
 98 ·80·typename·InterpolationFactory::Object·*interpolation·=
 99 InterpolationFactory::template·create<·geometryId·>(·key·);
 100 ·81·Object·*localKeys·=·new·Object(·*interpolation·);
 101 ·82·InterpolationFactory::release(·interpolation·);
 102 ·83·return·localKeys;
 103 ·84·}
 104 ·85
 105 ·86·template<·GeometryType::Id·geometryId·>
 106 87·static·bool·supports·(·const·Key·&key·)
 107 ·88·{
 108 ·89·GeometryType·gt·=·geometryId;
 109 ·90·return·gt.isTriangle()·||·gt.isTetrahedron()·;
 110 ·91·}
 111 92·static·void·release(·Object·*object·)·{·delete·object;·}
 112 ·93·};
 113 ·94
 114 ·95
 115 ·96
 116 ·97·//·NedelecL2InterpolationBuilder
 117 ·98·//·------------------------
 118 ·99
 119 ·100·//·L2·Interpolation·requires:
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 Namespaces·|·Typedefs 
14 pyramidp1.hh·File·Reference 
15 #include·<dune/localfunctions/lagrange/lagrangepyramid.hh>12 ····*·nedelec
 13 ····*·nedelecsimplex
 14 Classes·|·Namespaces
 15 nedelecsimplexprebasis.hh·File·Reference
 16 #include·<fstream>
 17 #include·<utility>
 18 #include·<dune/geometry/type.hh>
 19 #include·<dune/localfunctions/utility/polynomialbasis.hh>
16 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
 21 ·Classes
 22 struct· Dune::NedelecPreBasisFactory<_dim,_Field_>
 23  
 24 struct· Dune::NedelecPreBasisFactory<_dim,_Field_>::EvaluationBasisFactory<
 25 ·········dd,_FF_>
 26  
 27 struct· Dune::NedelecVecMatrix<_geometryId,_Field_>
 28  
17 ·Namespaces29 ·Namespaces
18 namespace· Dune30 namespace· Dune
19  31  
20 ·Typedefs 
21 template<class·D·,·class·R·> 
22 using Dune::PyramidP1LocalFiniteElement·=·LagrangePyramidLocalFiniteElement< 
23 ·······D,·R,·1·> 
24  ·····First-order·Lagrangian·finite·element·on·a·three-dimensional·pyramid. 
25   
  
26 ===============================================================================32 ===============================================================================
27 ·····Generated·by [doxygen]·1.9.833 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·pyramidp1.hh·Source·File</title>8 <title>dune-localfunctions:·nedelecsimplexprebasis.hh·Source·File</title>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 pyramidp1.hh12 ····*·nedelec
 13 ····*·nedelecsimplex
 14 nedelecsimplexprebasis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5 
21 ·6#ifndef·DUNE_PYRAMID_P1_LOCALFINITEELEMENT_HH 
22 ·7#define·DUNE_PYRAMID_P1_LOCALFINITEELEMENT_HH 
23 ·8 
24 ·9#include·<dune/localfunctions/lagrange/lagrangepyramid.hh>21 ·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXPREBASIS_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXPREBASIS_HH
 23 ·7
 24 ·8#include·<fstream>
 25 ·9#include·<utility>
25 ·1026 ·10
26 ·11#warning·This·header·is·deprecated27 ·11#include·<dune/geometry/type.hh>
27 ·1228 ·12
 29 ·13#include·<dune/localfunctions/utility/polynomialbasis.hh>
 30 ·14
28 ·13namespace·Dune31 ·15namespace·Dune
 32 ·16{
 33 ·17·template·<·GeometryType::Id·geometryId,·class·Field·>
 34 ·18·struct·NedelecVecMatrix;
 35 ·19
 36 ·20·template·<unsigned·int·dim,·class·Field>
 37 21·struct·NedelecPreBasisFactory
 38 ·22·{
 39 23·typedef·MonomialBasisProvider<dim,Field>·MBasisFactory;
 40 24·typedef·typename·MBasisFactory::Object·MBasis;
 41 25·typedef·StandardEvaluator<MBasis>·EvalMBasis;
 42 26·typedef·PolynomialBasisWithMatrix<EvalMBasis,SparseCoeffMatrix<Field,dim>·>
 43 Basis;
 44 ·27
 45 28·typedef·const·Basis·Object;
 46 29·typedef·std::size_t·Key;
 47 ·30
 48 ·31·template·<unsigned·int·dd,·class·FF>
 49 32·struct·EvaluationBasisFactory
 50 ·33·{
 51 34·typedef·MonomialBasisProvider<dd,FF>·Type;
 52 ·35·};
 53 ·36
 54 ·37·template<·GeometryType::Id·geometryId·>
 55 38·static·Object·*create·(·Key·order·)
 56 ·39·{
 57 ·40·/*
 58 ·41·*·The·nedelec·parameter·begins·at·1.
 59 ·42·*·This·is·the·numbering·used·by·J.C.·Nedelec·himself.
 60 ·43·*·See·"Mixed·Finite·Elements·in·\R^3"·published·in·1980.
 61 ·44·*
 62 ·45·*·This·construction·is·based·on·the·construction·of·Raviart-Thomas
 63 elements.
 64 ·46·*·There·the·numbering·starts·at·0.
 65 ·47·*·Because·of·this·we·reduce·the·order·internally·by·1.
 66 ·48·*/
 67 ·49·order--;
 68 ·50·NedelecVecMatrix<geometryId,Field>·vecMatrix(order);
 69 ·51·MBasis·*mbasis·=·MBasisFactory::template·create<geometryId>(order+1);
 70 ·52·std::remove_const_t<Object>*·tmBasis·=·new·std::remove_const_t<Object>
 71 (*mbasis);
 72 ·53·tmBasis->fill(vecMatrix);
 73 ·54·return·tmBasis;
 74 ·55·}
 75 56·static·void·release(·Object·*object·)·{·delete·object;·}
 76 ·57·};
 77 ·58
 78 ·59·template·<GeometryType::Id·geometryId,·class·Field>
 79 60·struct·NedelecVecMatrix
 80 ·61·{
 81 62·static·constexpr·GeometryType·geometry·=·geometryId;
 82 63·static·const·unsigned·int·dim·=·geometry.dim();
 83 64·typedef·MultiIndex<dim,Field>·MI;
 84 65·typedef·MonomialBasis<geometryId,MI>·MIBasis;
 85 66·NedelecVecMatrix(std::size_t·order)
 86 ·67·{
 87 ·68·/*
 88 ·69·*·Construction·of·Nedelec·elements·see·"Mixed·Finite·Elements·in·\R^3"·by
 89 Nedelec,·1980.
 90 ·70·*
 91 ·71·*·Let·$\P_{n,k}$·be·the·space·of·polynomials·in·$n$·variables·with·degree
 92 $\leq·k$.
 93 ·72·*·The·space·of·Nedelec·functions·in·$n$·dimensions·with·index·$k$·is
 94 defined·as
 95 ·73·*
 96 ·74·*·\begin{equation*}
 97 ·75·*·Ned_k·:=·(\P_{n,k-1})^n·\oplus·\{p·\in·(\P_{n,k})^n:·<p,x>=0·\}
 98 ·76·*·\end{equation*}
 99 ·77·*·with·$x=(x,y)$·in·two·dimensions·and·$x=(x,y,z)$·in·three·dimensions.
 100 ·78·*
 101 ·79·*·For·$Ned_k$·holds
 102 ·80·*·\begin{equation*}
 103 ·81·*·(\P_{n,k-1})^n·\subset·Ned_k·\subset·(\P_{n,k})^n.
 104 ·82·*·\end{equation*}
 105 ·83·*
 106 ·84·*·We·construct·$(\P_{n,k})^n$·and·and·only·use·the·monomials·contained·in
 107 $Ned$.
 108 ·85·*
 109 ·86·*/
 110 ·87·if(·(dim!=2·&&·dim!=3)·||·!geometry.isSimplex())
 111 ·88·DUNE_THROW(Dune::NotImplemented,"High·order·nedelec·elements·are·only
 112 supported·by·simplices·in·2d·and·3d");
 113 ·89
 114 ·90·MIBasis·basis(order+1);
 115 ·91·FieldVector<·MI,·dim·>·x;
 116 ·92·/*
 117 ·93·*·Init·MultiIndices
 118 ·94·*·x[0]=(1,0,0)·x
 119 ·95·*·x[1]=(0,1,0)·y
 120 ·96·*·x[2]=(0,0,1)·z
 121 ·97·*/
 122 ·98·for(·unsigned·int·i·=·0;·i·<·dim;·++i·)
 123 ·99·x[i].set(i,1);
 124 ·100·std::vector<·MI·>·val(·basis.size()·);
 125 ·101
 126 ·102·//·val·now·contains·all·monomials·in·$n$·dimensions·with·degree·$\leq
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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10 ····*·dune10 ····*·dune
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12 ····*·lagrange12 ····*·monomial
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 lagrangecoefficients.hh·File·Reference14 monomiallocalcoefficients.hh·File·Reference
 15 #include·<cstddef>
15 #include·<vector>16 #include·<vector>
 17 #include·"../common/localkey.hh"
16 #include·<dune/common/fvector.hh> 
17 #include·<dune/geometry/type.hh> 
18 #include·<dune/localfunctions/utility/field.hh> 
19 #include·<dune/localfunctions/common/localkey.hh> 
20 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
21 ·Classes19 ·Classes
22 struct· Dune::LagrangeCoefficientsFactory<_LP,_dim,_F_>20 class· Dune::MonomialLocalCoefficients<_static_size_>
 21  ······Layout·map·for·monomial·finite·elements.·More...
23  22  
24 ·Namespaces23 ·Namespaces
25 namespace· Dune24 namespace· Dune
26  25  
  
27 ===============================================================================26 ===============================================================================
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 lagrangecoefficients.hh12 ····*·monomial
 13 monomiallocalcoefficients.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LAGRANGECOEFFICIENTS_HH 
21 ·6#define·DUNE_LAGRANGECOEFFICIENTS_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALCOEFFICIENTS_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALCOEFFICIENTS_HH
22 ·722 ·7
 23 ·8#include·<cstddef>
23 ·8#include·<vector>24 ·9#include·<vector>
 25 ·10
 26 ·11#include·"../common/localkey.hh"
 27 ·12
24 ·9 
25 ·10#include·<dune/common/fvector.hh> 
26 ·11 
27 ·12#include·<dune/geometry/type.hh> 
28 ·13 
29 ·14#include·<dune/localfunctions/utility/field.hh> 
30 ·15#include·<dune/localfunctions/common/localkey.hh> 
31 ·16 
32 ·17namespace·Dune28 ·13namespace·Dune
33 ·18{29 ·14{
 30 ·15
 31 ·22·template<int·static_size>
 32 23·class·MonomialLocalCoefficients
34 ·19 
35 ·20·template<·template·<class,unsigned·int>·class·LP, 
36 ·21·unsigned·int·dim,·class·F> 
37 22·struct·LagrangeCoefficientsFactory 
38 ·23·{33 ·24·{
 34 ·25·public:
 35 27·MonomialLocalCoefficients·()
 36 ·28·:·index(static_size,·LocalKey(0,0,0))
 37 ·29·{
 38 ·30·for(int·i·=·0;·i·<·static_size;·++i)
 39 ·31·index[i].index(i);
 40 ·32·}
 41 ·33
 42 35·std::size_t·size·()·const
39 24·static·const·unsigned·int·dimension·=·dim; 
40 25·const·typedef·LP<F,dim>·Object; 
41 26·typedef·std::size_t·Key; 
42 ·27 
43 ·28·template<·GeometryType::Id·geometryId·> 
44 29·static·Object·*create·(·const·Key·&order·) 
45 ·30·{ 
46 ·31·if·(order·==·0·||·!Object::template·supports<geometryId>(order)) 
47 ·32·return·0; 
48 ·33·typedef·typename·std::remove_const<Object>::type·LagrangeCoefficients; 
49 ·34·LagrangeCoefficients·*object·=·new·LagrangeCoefficients(order); 
50 ·35·if·(·!object->template·build<geometryId>()·) 
51 ·36·{43 ·36·{
 44 ·37·return·static_size;
52 ·37·delete·object; 
53 ·38·object·=·nullptr; 
54 ·39·}45 ·38·}
55 ·40·return·object;46 ·39
 47 41·const·LocalKey&·localKey·(std::size_t·i)·const
 48 ·42·{
 49 ·43·return·index[i];
56 ·41·}50 ·44·}
57 42·static·void·release(·Object·*object·)·{·delete·object;·} 
58 ·43·}; 
59 ·44 
60 ·45}51 ·45
61 ·46 
62 ·47#endif·//·DUNE_LAGRANGECOEFFICIENTS_HH 
63 field.hh 
64 localkey.hh52 ·46·private:
 53 ·47·std::vector<LocalKey>·index;
 54 ·48·};
 55 ·49
 56 ·50}
 57 ·51#endif·//DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALCOEFFICIENTS_HH
65 Dune58 Dune
66 Definition·bdfmcube.hh:1859 Definition·bdfmcube.hh:18
67 Dune::LagrangeCoefficientsFactory 
68 Definition·lagrangecoefficients.hh:23 
69 Dune::LagrangeCoefficientsFactory::dimension 
70 static·const·unsigned·int·dimension60 Dune::LocalKey
 61 Describe·position·of·one·degree·of·freedom.
 62 Definition·localkey.hh:23
 63 Dune::MonomialLocalCoefficients
 64 Layout·map·for·monomial·finite·elements.
71 Definition·lagrangecoefficients.hh:2465 Definition·monomiallocalcoefficients.hh:24
 66 Dune::MonomialLocalCoefficients::size
 67 std::size_t·size()·const
 68 number·of·coefficients
72 Dune::LagrangeCoefficientsFactory::release 
73 static·void·release(Object·*object) 
74 Definition·lagrangecoefficients.hh:42 
75 Dune::LagrangeCoefficientsFactory::Object 
76 const·typedef·LP<·F,·dim·>·Object 
77 Definition·lagrangecoefficients.hh:2569 Definition·monomiallocalcoefficients.hh:35
78 Dune::LagrangeCoefficientsFactory::create 
79 static·Object·*·create(const·Key·&order)70 Dune::MonomialLocalCoefficients::MonomialLocalCoefficients
 71 MonomialLocalCoefficients()
 72 Standard·constructor.
80 Definition·lagrangecoefficients.hh:2973 Definition·monomiallocalcoefficients.hh:27
81 Dune::LagrangeCoefficientsFactory::Key 
82 std::size_t·Key 
83 Definition·lagrangecoefficients.hh:2674 Dune::MonomialLocalCoefficients::localKey
 75 const·LocalKey·&·localKey(std::size_t·i)·const
 76 get·i'th·index
 77 Definition·monomiallocalcoefficients.hh:41
  
84 ===============================================================================78 ===============================================================================
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 Namespaces·|·Typedefs 
14 p23d.hh·File·Reference 
15 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>12 ····*·monomial
 13 Classes·|·Namespaces
 14 monomiallocalbasis.hh·File·Reference
 15 #include·<array>
 16 #include·<cassert>
 17 #include·<numeric>
 18 #include·<dune/common/fmatrix.hh>
 19 #include·<dune/common/math.hh>
 20 #include·"../common/localbasis.hh"
16 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
 22 ·Classes
 23 ·class· Dune::MonomImp::EvalAccess<_Traits_>
 24  ·······Access·output·vector·of·evaluateFunction()·and·evaluate()·More...
 25  
 26 ·class· Dune::MonomImp::JacobianAccess<_Traits_>
 27  ·······Access·output·vector·of·evaluateJacobian()·More...
 28  
 29 struct· Dune::MonomImp::Evaluate<_Traits,_c_>
 30  
 31 struct· Dune::MonomImp::Evaluate<_Traits,_1_>
 32  
 33 ·class· Dune::MonomialLocalBasis<_D,_R,_d,_p_>
 34  ·······Constant·shape·function.·More...
 35  
17 ·Namespaces36 ·Namespaces
18 namespace· Dune37 namespace· Dune
19  38  
 39 namespace· Dune::MonomImp
20 ·Typedefs 
21 template<class·D·,·class·R·> 
22 using Dune::P23DLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R, 
23 ·······3,·2·> 
24  ·····Second-order·Lagrange·local·finite·element·on·the·reference·tetrahedron. 
  
25  40  
  
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Offset 7, 43 lines modifiedOffset 7, 322 lines modified
  
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 p23d.hh12 ····*·monomial
 13 monomiallocalbasis.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_P2_3DLOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_P2_3DLOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALBASIS_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALBASIS_HH
22 ·722 ·7
23 ·8#include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
24 ·9 
25 ·10#warning·This·header·is·deprecated23 ·8#include·<array>
 24 ·9#include·<cassert>
 25 ·10#include·<numeric>
26 ·1126 ·11
27 ·12namespace·Dune 
28 ·13{27 ·12#include·<dune/common/fmatrix.hh>
 28 ·13#include·<dune/common/math.hh>
29 ·1429 ·14
30 ·22·template<class·D,·class·R> 
31 23·using·P23DLocalFiniteElement 
32 ·24·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]] 
33 ·25·=·LagrangeSimplexLocalFiniteElement<D,R,3,2>; 
34 ·26 
35 ·27}30 ·15#include·"../common/localbasis.hh"
 31 ·16
 32 ·17namespace·Dune
 33 ·18{
 34 19·namespace·MonomImp
 35 ·20·{
 36 ·22·template·<typename·Traits>
 37 23·class·EvalAccess·{
 38 ·24·std::vector<typename·Traits::RangeType>·&out;
 39 ·25#ifndef·NDEBUG
 40 ·26·unsigned·int·first_unused_index;
 41 ·27#endif
36 ·2842 ·28
 43 ·29·public:
 44 30·EvalAccess(std::vector<typename·Traits::RangeType>·&out_)
 45 ·31·:·out(out_)
 46 ·32#ifndef·NDEBUG
 47 ·33·,·first_unused_index(0)
 48 ·34#endif
 49 ·35·{·}
 50 ·36#ifndef·NDEBUG
 51 37·~EvalAccess()·{
 52 ·38·assert(first_unused_index·==·out.size());
 53 ·39·}
 54 ·40#endif
 55 41·typename·Traits::RangeFieldType·&operator[](unsigned·int·index)
 56 ·42·{
 57 ·43·assert(index·<·out.size());
 58 ·44#ifndef·NDEBUG
 59 ·45·if(first_unused_index·<=·index)
 60 ·46·first_unused_index·=·index+1;
 61 ·47#endif
 62 ·48·return·out[index][0];
 63 ·49·}
 64 ·50·};
 65 ·51
 66 ·53·template·<typename·Traits>
 67 54·class·JacobianAccess·{
 68 ·55·std::vector<typename·Traits::JacobianType>·&out;
 69 ·56·unsigned·int·row;
 70 ·57#ifndef·NDEBUG
 71 ·58·unsigned·int·first_unused_index;
37 ·29#endif72 ·59#endif
38 lagrangesimplex.hh73 ·60
 74 ·61·public:
 75 62·JacobianAccess(std::vector<typename·Traits::JacobianType>·&out_,
 76 ·63·unsigned·int·row_)
 77 ·64·:·out(out_),·row(row_)
 78 ·65#ifndef·NDEBUG
 79 ·66·,·first_unused_index(0)
 80 ·67#endif
 81 ·68·{·}
 82 ·69#ifndef·NDEBUG
 83 70·~JacobianAccess()·{
 84 ·71·assert(first_unused_index·==·out.size());
 85 ·72·}
 86 ·73#endif
 87 74·typename·Traits::RangeFieldType·&operator[](unsigned·int·index)
 88 ·75·{
 89 ·76·assert(index·<·out.size());
 90 ·77#ifndef·NDEBUG
 91 ·78·if(first_unused_index·<=·index)
 92 ·79·first_unused_index·=·index+1;
 93 ·80#endif
 94 ·81·return·out[index][0][row];
 95 ·82·}
 96 ·83·};
 97 ·84
 98 ·97·template·<typename·Traits,·int·c>
 99 98·struct·Evaluate
 100 ·99·{
 101 101·constexpr·static·int·d·=·Traits::dimDomain·-·c;
 102 ·102
 103 ·109·template·<typename·Access>
 104 110·static·void·eval·(
 105 ·111·const·typename·Traits::DomainType·&in,
 106 ·114·const·std::array<unsigned·int,·Traits::dimDomain>·&derivatives,
 107 ·117·typename·Traits::RangeFieldType·prod,
 108 ·119·int·bound,
 109 ·121·int&·index,
 110 ·123·Access·&access)
 111 ·124·{
 112 ·125·//·start·with·the·highest·exponent·for·this·dimension,·then·work·down
 113 ·126·for·(int·e·=·bound;·e·>=·0;·--e)
 114 ·127·{
 115 ·128·//·the·rest·of·the·available·exponents,·to·be·used·by·the·other
 116 ·129·//·dimensions
 117 ·130·int·newbound·=·bound·-·e;
 118 ·131·if(e·<·(int)derivatives[d])
 119 ·132·Evaluate<Traits,c-1>::
 120 ·133eval(in,·derivatives,·0,·newbound,·index,·access);
 121 ·134·else·{
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·monomial
 13 Classes·|·Namespaces
 14 monomiallocalinterpolation.hh·File·Reference
 15 #include·<vector>
 16 #include·<dune/common/fvector.hh>
 17 #include·<dune/common/fmatrix.hh>
 18 #include·<dune/geometry/type.hh>
 19 #include·<dune/geometry/quadraturerules.hh>
 20 #include·<dune/localfunctions/common/localinterpolation.hh>
12 raviartthomas.hh·File·Reference 
13 #include·<dune/localfunctions/raviartthomas/raviartthomascube.hh> 
14 #include·<dune/localfunctions/raviartthomas/raviartthomassimplex.hh> 
15 #include·<dune/localfunctions/raviartthomas/raviartthomas02d.hh> 
16 #include·<dune/localfunctions/raviartthomas/raviartthomas12d.hh> 
17 #include·<dune/localfunctions/raviartthomas/raviartthomas03d.hh> 
18 #include·<dune/localfunctions/raviartthomas/raviartthomas0cube2d.hh> 
19 #include·<dune/localfunctions/raviartthomas/raviartthomas1cube2d.hh> 
20 #include·<dune/localfunctions/raviartthomas/raviartthomas2cube2d.hh> 
21 #include·<dune/localfunctions/raviartthomas/raviartthomas3cube2d.hh> 
22 #include·<dune/localfunctions/raviartthomas/raviartthomas0cube3d.hh> 
23 #include·<dune/localfunctions/raviartthomas/raviartthomas1cube3d.hh> 
24 #include·<dune/localfunctions/raviartthomas/raviartthomas0pyramid.hh> 
25 #include·<dune/localfunctions/raviartthomas/raviartthomas0prism.hh> 
26 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
 22 ·Classes
 23 class· Dune::MonomialLocalInterpolation<_LB,_size_>
 24  
 25 ·Namespaces
 26 namespace· Dune
 27  
  
27 ===============================================================================28 ===============================================================================
28 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 raviartthomas.hh12 ····*·monomial
 13 monomiallocalinterpolation.hh
13 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·5#ifndef·DUNE_RAVIARTTHOMASFINITEELEMENT_HH 
20 ·6#define·DUNE_RAVIARTTHOMASFINITEELEMENT_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALINTERPOLATION_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALINTERPOLATION_HH
21 ·722 ·7
22 ·8//·Raviart-Thomas·implementations·with·run-time·order 
23 ·9#include·<dune/localfunctions/raviartthomas/raviartthomascube.hh> 
24 ·10#include·<dune/localfunctions/raviartthomas/raviartthomassimplex.hh> 
25 ·11 
26 ·12//·Raviart-Thomas·implementations·with·compile-time·order 
27 ·13#include·<dune/localfunctions/raviartthomas/raviartthomas02d.hh> 
28 ·14#include·<dune/localfunctions/raviartthomas/raviartthomas12d.hh> 
29 ·15#include·<dune/localfunctions/raviartthomas/raviartthomas03d.hh> 
30 ·16#include·<dune/localfunctions/raviartthomas/raviartthomas0cube2d.hh> 
31 ·17#include·<dune/localfunctions/raviartthomas/raviartthomas1cube2d.hh> 
32 ·18#include·<dune/localfunctions/raviartthomas/raviartthomas2cube2d.hh> 
33 ·19#include·<dune/localfunctions/raviartthomas/raviartthomas3cube2d.hh> 
34 ·20#include·<dune/localfunctions/raviartthomas/raviartthomas0cube3d.hh> 
35 ·21#include·<dune/localfunctions/raviartthomas/raviartthomas1cube3d.hh> 
36 ·22#include·<dune/localfunctions/raviartthomas/raviartthomas0pyramid.hh> 
37 ·23#include·<dune/localfunctions/raviartthomas/raviartthomas0prism.hh> 
38 ·24 
39 ·25#endif·//·#ifndef·DUNE_RAVIARTTHOMASFINITEELEMENT_HH 
40 raviartthomassimplex.hh 
41 Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices·of 
42 arbitrary·dimension. 
43 raviartthomas0prism.hh 
44 raviartthomas02d.hh 
45 raviartthomas0pyramid.hh 
46 raviartthomas0cube3d.hh 
47 raviartthomas03d.hh 
48 raviartthomas12d.hh 
49 raviartthomas3cube2d.hh 
50 raviartthomascube.hh 
51 Convenience·header·that·includes·all·available·Raviart-Thomas·local·finite 
52 elements·for·cubes. 
53 raviartthomas1cube3d.hh 
54 raviartthomas2cube2d.hh 
55 raviartthomas0cube2d.hh 
56 raviartthomas1cube2d.hh23 ·8#include·<vector>
 24 ·9
 25 ·10#include·<dune/common/fvector.hh>
 26 ·11#include·<dune/common/fmatrix.hh>
 27 ·12
 28 ·13#include·<dune/geometry/type.hh>
 29 ·14#include·<dune/geometry/quadraturerules.hh>
 30 ·15#include·<dune/localfunctions/common/localinterpolation.hh>
 31 ·16
 32 ·17namespace·Dune
 33 ·18{
 34 ·19
 35 ·20·template<class·LB,·unsigned·int·size>
 36 21·class·MonomialLocalInterpolation
 37 ·22·{
 38 ·23·typedef·typename·LB::Traits::DomainType·D;
 39 ·24·typedef·typename·LB::Traits::DomainFieldType·DF;
 40 ·25·static·const·int·dimD=LB::Traits::dimDomain;
 41 ·26·typedef·typename·LB::Traits::RangeType·R;
 42 ·27·typedef·typename·LB::Traits::RangeFieldType·RF;
 43 ·28
 44 ·29·typedef·QuadratureRule<DF,dimD>·QR;
 45 ·30·typedef·typename·QR::iterator·QRiterator;
 46 ·31
 47 ·32·public:
 48 33·MonomialLocalInterpolation·(const·GeometryType·&gt_,
 49 ·34·const·LB·&lb_)
 50 ·35·:·gt(gt_),·lb(lb_),·Minv(0)
 51 ·36·,·qr(QuadratureRules<DF,dimD>::rule(gt,·2*lb.order()))
 52 ·37·{
 53 ·38·//·Compute·inverse·of·the·mass·matrix·of·the·local·basis,·and·store·it·in
 54 Minv
 55 ·39·if(size·!=·lb.size())
 56 ·40·DUNE_THROW(Exception,·"size·template·parameter·does·not·match·size·of·"
 57 ·41·"local·basis");
 58 ·42
 59 ·43·const·QRiterator·qrend·=·qr.end();
 60 ·44·for(QRiterator·qrit·=·qr.begin();·qrit·!=·qrend;·++qrit)·{
 61 ·45·std::vector<R>·base;
 62 ·46·lb.evaluateFunction(qrit->position(),base);
 63 ·47
 64 ·48·for(unsigned·int·i·=·0;·i·<·size;·++i)
 65 ·49·for(unsigned·int·j·=·0;·j·<·size;·++j)
 66 ·50·Minv[i][j]·+=·qrit->weight()·*·base[i]·*·base[j];
 67 ·51·}
 68 ·52·Minv.invert();
 69 ·53·}
 70 ·54
 71 ·62·template<typename·F,·typename·C>
 72 63·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
 73 ·64·{
 74 ·65·using·DomainType·=·std::decay_t<decltype(qr.begin()->position())>;
 75 ·66
 76 ·67·auto&&·f·=·Impl::makeFunctionWithCallOperator<DomainType>(ff);
 77 ·68
 78 ·69·out.clear();
 79 ·70·out.resize(size,·0);
 80 ·71
 81 ·72·const·QRiterator·qrend·=·qr.end();
 82 ·73·for(QRiterator·qrit·=·qr.begin();·qrit·!=·qrend;·++qrit)·{
 83 ·74·//TODO:·mass·matrix
 84 ·75·R·y·=·f(qrit->position());
 85 ·76
 86 ·77·std::vector<R>·base;
 87 ·78·lb.evaluateFunction(qrit->position(),base);
 88 ·79
 89 ·80·for(unsigned·int·i·=·0;·i·<·size;·++i)
 90 ·81·for(unsigned·int·j·=·0;·j·<·size;·++j)
 91 ·82·out[i]·+=·Minv[i][j]·*·qrit->weight()·*·y·*·base[j];
 92 ·83·}
 93 ·84·}
 94 ·85
 95 ·86·private:
 96 ·87·GeometryType·gt;
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 Classes·|·Namespaces 
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14 #include·<cassert> 
15 #include·<cstddef> 
16 #include·<cstdlib> 
17 #include·<memory> 
18 #include·<vector> 
19 #include·<dune/geometry/type.hh> 
20 #include·"common/localfiniteelementtraits.hh" 
21 #include·"common/localtoglobaladaptors.hh" 
22 #include·"monomial/monomiallocalbasis.hh" 
23 #include·"monomial/monomiallocalcoefficients.hh" 
24 #include·"monomial/monomiallocalinterpolation.hh"12 raviartthomas.hh·File·Reference
 13 #include·<dune/localfunctions/raviartthomas/raviartthomascube.hh>
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 15 #include·<dune/localfunctions/raviartthomas/raviartthomas02d.hh>
 16 #include·<dune/localfunctions/raviartthomas/raviartthomas12d.hh>
 17 #include·<dune/localfunctions/raviartthomas/raviartthomas03d.hh>
 18 #include·<dune/localfunctions/raviartthomas/raviartthomas0cube2d.hh>
 19 #include·<dune/localfunctions/raviartthomas/raviartthomas1cube2d.hh>
 20 #include·<dune/localfunctions/raviartthomas/raviartthomas2cube2d.hh>
 21 #include·<dune/localfunctions/raviartthomas/raviartthomas3cube2d.hh>
 22 #include·<dune/localfunctions/raviartthomas/raviartthomas0cube3d.hh>
 23 #include·<dune/localfunctions/raviartthomas/raviartthomas1cube3d.hh>
 24 #include·<dune/localfunctions/raviartthomas/raviartthomas0pyramid.hh>
 25 #include·<dune/localfunctions/raviartthomas/raviartthomas0prism.hh>
25 Go_to_the_source_code_of_this_file.26 Go_to_the_source_code_of_this_file.
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27 class· Dune::MonomialLocalFiniteElement<_D,_R,_d,_p_> 
28  ······Monomial·basis·for·discontinuous·Galerkin·methods.·More... 
29   
30 class· Dune::MonomialFiniteElementFactory<_Geometry,_RF,_p_> 
31  ······Factory·for·global-valued·MonomFiniteElement·objects.·More... 
32   
33 ·Namespaces 
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35   
  
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14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
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16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 19 ·5#ifndef·DUNE_RAVIARTTHOMASFINITEELEMENT_HH
 20 ·6#define·DUNE_RAVIARTTHOMASFINITEELEMENT_HH
19 ·5 
20 ·6#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_HH 
21 ·7#define·DUNE_LOCALFUNCTIONS_MONOMIAL_HH 
22 ·8 
23 ·9#include·<cassert> 
24 ·10#include·<cstddef> 
25 ·11#include·<cstdlib> 
26 ·12#include·<memory> 
27 ·13#include·<vector> 
28 ·14 
29 ·15#include·<dune/geometry/type.hh> 
30 ·16 
31 ·17#include·"common/localfiniteelementtraits.hh" 
32 ·18#include·"common/localtoglobaladaptors.hh" 
33 ·19#include·"monomial/monomiallocalbasis.hh" 
34 ·20#include·"monomial/monomiallocalcoefficients.hh" 
35 ·21#include·"monomial/monomiallocalinterpolation.hh" 
36 ·22 
37 ·23namespace·Dune 
38 ·24{ 
39 ·25 
40 ·26 
41 ·39·template<class·D,·class·R,·int·d,·int·p> 
42 40·class·MonomialLocalFiniteElement 
43 ·41·{ 
44 ·42·constexpr·static·int·static_size·=·MonomialLocalBasis<D,R,d,p>::size(); 
45 ·43 
46 ·44·public: 
47 ·47·typedef·LocalFiniteElementTraits< 
48 ·48·MonomialLocalBasis<D,R,d,p>, 
49 ·49·MonomialLocalCoefficients<static_size>, 
50 ·50·MonomialLocalInterpolation<MonomialLocalBasis<D,R,d,p>,static_size> 
51 51·>·Traits; 
52 ·52 
53 54·MonomialLocalFiniteElement·(const·GeometryType·&gt_) 
54 ·55·:·basis(),·interpolation(gt_,·basis),·gt(gt_) 
55 ·56·{} 
56 ·5721 ·7
 22 ·8//·Raviart-Thomas·implementations·with·run-time·order
 23 ·9#include·<dune/localfunctions/raviartthomas/raviartthomascube.hh>
 24 ·10#include·<dune/localfunctions/raviartthomas/raviartthomassimplex.hh>
57 60·const·typename·Traits::LocalBasisType&·localBasis·()·const 
58 ·61·{ 
59 ·62·return·basis; 
60 ·63·} 
61 ·64 
62 67·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
63 ·68·{ 
64 ·69·return·coefficients; 
65 ·70·} 
66 ·71 
67 74·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
68 ·75·{ 
69 ·76·return·interpolation; 
70 ·77·} 
71 ·78 
72 80·unsigned·int·size·()·const 
73 ·81·{ 
74 ·82·return·basis.size(); 
75 ·83·} 
76 ·84 
77 87·GeometryType·type·()·const 
78 ·88·{ 
79 ·89·return·gt; 
80 ·90·} 
81 ·91 
82 ·92·private: 
83 ·93·MonomialLocalBasis<D,R,d,p>·basis; 
84 ·94·MonomialLocalCoefficients<static_size>·coefficients; 
85 ·95·MonomialLocalInterpolation<MonomialLocalBasis<D,R,d,p>,static_size> 
86 interpolation; 
87 ·96·GeometryType·gt; 
88 ·97·}; 
89 ·98 
90 ·100 
91 ·112·template<class·Geometry,·class·RF,·std::size_t·p> 
92 113·class·MonomialFiniteElementFactory·{ 
93 ·114·typedef·typename·Geometry::ctype·DF; 
94 ·115·static·const·std::size_t·dim·=·Geometry::mydimension; 
95 ·11625 ·11
 26 ·12//·Raviart-Thomas·implementations·with·compile-time·order
 27 ·13#include·<dune/localfunctions/raviartthomas/raviartthomas02d.hh>
 28 ·14#include·<dune/localfunctions/raviartthomas/raviartthomas12d.hh>
 29 ·15#include·<dune/localfunctions/raviartthomas/raviartthomas03d.hh>
 30 ·16#include·<dune/localfunctions/raviartthomas/raviartthomas0cube2d.hh>
 31 ·17#include·<dune/localfunctions/raviartthomas/raviartthomas1cube2d.hh>
 32 ·18#include·<dune/localfunctions/raviartthomas/raviartthomas2cube2d.hh>
 33 ·19#include·<dune/localfunctions/raviartthomas/raviartthomas3cube2d.hh>
 34 ·20#include·<dune/localfunctions/raviartthomas/raviartthomas0cube3d.hh>
 35 ·21#include·<dune/localfunctions/raviartthomas/raviartthomas1cube3d.hh>
 36 ·22#include·<dune/localfunctions/raviartthomas/raviartthomas0pyramid.hh>
 37 ·23#include·<dune/localfunctions/raviartthomas/raviartthomas0prism.hh>
 38 ·24
 39 ·25#endif·//·#ifndef·DUNE_RAVIARTTHOMASFINITEELEMENT_HH
 40 raviartthomas0cube2d.hh
 41 raviartthomascube.hh
 42 Convenience·header·that·includes·all·available·Raviart-Thomas·local·finite
 43 elements·for·cubes.
 44 raviartthomas2cube2d.hh
 45 raviartthomas1cube3d.hh
 46 raviartthomas0cube3d.hh
 47 raviartthomas0prism.hh
 48 raviartthomassimplex.hh
 49 Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices·of
 50 arbitrary·dimension.
 51 raviartthomas02d.hh
 52 raviartthomas3cube2d.hh
 53 raviartthomas1cube2d.hh
 54 raviartthomas0pyramid.hh
 55 raviartthomas12d.hh
 56 raviartthomas03d.hh
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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 13 ····*·rannacherturek3d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 monomiallocalinterpolation.hh·File·Reference15 rannacherturek3dlocalbasis.hh·File·Reference
 16 #include·<numeric>
15 #include·<vector>17 #include·<vector>
16 #include·<dune/common/fvector.hh>18 #include·<dune/common/fvector.hh>
17 #include·<dune/common/fmatrix.hh>19 #include·<dune/common/fmatrix.hh>
18 #include·<dune/geometry/type.hh> 
19 #include·<dune/geometry/quadraturerules.hh> 
20 #include·<dune/localfunctions/common/localinterpolation.hh>20 #include·<dune/localfunctions/common/localbasis.hh>
21 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
22 ·Classes22 ·Classes
23 class· Dune::MonomialLocalInterpolation<_LB,_size_>23 class· Dune::RannacherTurek3DLocalBasis<_D,_R_>
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·monomial 
13 monomiallocalinterpolation.hh12 ····*·rannacherturek
 13 ····*·rannacherturek3d
 14 rannacherturek3dlocalbasis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALINTERPOLATION_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALINTERPOLATION_HH21 ·5#ifndef·DUNE_RANNACHER_TUREK_3D_LOCALBASIS_HH
 22 ·6#define·DUNE_RANNACHER_TUREK_3D_LOCALBASIS_HH
22 ·723 ·7
 24 ·8#include·<numeric>
23 ·8#include·<vector>25 ·9#include·<vector>
24 ·926 ·10
25 ·10#include·<dune/common/fvector.hh>27 ·11#include·<dune/common/fvector.hh>
26 ·11#include·<dune/common/fmatrix.hh>28 ·12#include·<dune/common/fmatrix.hh>
 29 ·13
27 ·12 
28 ·13#include·<dune/geometry/type.hh> 
29 ·14#include·<dune/geometry/quadraturerules.hh> 
30 ·15#include·<dune/localfunctions/common/localinterpolation.hh>30 ·14#include·<dune/localfunctions/common/localbasis.hh>
31 ·1631 ·15
32 ·17namespace·Dune32 ·16namespace·Dune
 33 ·17{
33 ·18{34 ·18
 35 ·19·template<·class·D,·class·R·>
 36 20·class·RannacherTurek3DLocalBasis
34 ·19 
35 ·20·template<class·LB,·unsigned·int·size> 
36 21·class·MonomialLocalInterpolation 
37 ·22·{37 ·21·{
38 ·23·typedef·typename·LB::Traits::DomainType·D; 
39 ·24·typedef·typename·LB::Traits::DomainFieldType·DF; 
40 ·25·static·const·int·dimD=LB::Traits::dimDomain; 
41 ·26·typedef·typename·LB::Traits::RangeType·R; 
42 ·27·typedef·typename·LB::Traits::RangeFieldType·RF;38 ·22·static·const·int·coefficients[·6·][·6·];
 39 ·23
 40 ·24·public:
 41 ·25·typedef·LocalBasisTraits<_D,_3,_FieldVector<_D,_3_>,
 42 ·26·R,·1,·FieldVector<·R,·1·>,
 43 27·FieldMatrix<·R,·1,·3·>·>·Traits;
43 ·2844 ·28
 45 30·unsigned·int·size·()·const
44 ·29·typedef·QuadratureRule<DF,dimD>·QR; 
45 ·30·typedef·typename·QR::iterator·QRiterator; 
46 ·31 
47 ·32·public: 
48 33·MonomialLocalInterpolation·(const·GeometryType·&gt_, 
49 ·34·const·LB·&lb_) 
50 ·35·:·gt(gt_),·lb(lb_),·Minv(0) 
51 ·36·,·qr(QuadratureRules<DF,dimD>::rule(gt,·2*lb.order())) 
52 ·37·{46 ·31·{
53 ·38·//·Compute·inverse·of·the·mass·matrix·of·the·local·basis,·and·store·it·in 
54 Minv 
55 ·39·if(size·!=·lb.size()) 
56 ·40·DUNE_THROW(Exception,·"size·template·parameter·does·not·match·size·of·" 
57 ·41·"local·basis"); 
58 ·42 
59 ·43·const·QRiterator·qrend·=·qr.end(); 
60 ·44·for(QRiterator·qrit·=·qr.begin();·qrit·!=·qrend;·++qrit)·{ 
61 ·45·std::vector<R>·base; 
62 ·46·lb.evaluateFunction(qrit->position(),base); 
63 ·4747 ·32·return·6;
 48 ·33·}
 49 ·34
 50 36·inline·void·evaluateFunction·(·const·typename·Traits::DomainType·&in,
 51 ·37·std::vector<·typename·Traits::RangeType·>·&out·)·const
 52 ·38·{
 53 ·39·typedef·typename·Traits::RangeFieldType·RangeFieldType;
 54 ·40·RangeFieldType·y[·6·]·=·{·1,·in[·0·],·in[·1·],·in[·2·],
 55 ·41·in[·0·]*in[·0·]·-·in[·1·]*in[·1·],
 56 ·42·in[·1·]*in[·1·]·-·in[·2·]*in[·2·]·};
 57 ·43·out.resize(·size()·);
64 ·48·for(unsigned·int·i·=·0;·i·<·size;·++i)58 ·44·for(·unsigned·int·i·=·0;·i·<·size();·++i·)
 59 ·45·{
 60 ·46·out[·i·]·=·RangeFieldType(·0·);
65 ·49·for(unsigned·int·j·=·0;·j·<·size;·++j)61 ·47·for(·unsigned·int·j·=·0;·j·<·6;·++j·)
66 ·50·Minv[i][j]·+=·qrit->weight()·*·base[i]·*·base[j];62 ·48·out[·i·]·+=·coefficients[·i·][·j·]*y[·j·];
 63 ·49·out[·i·]·/=·RangeFieldType(·3·);
 64 ·50·}
67 ·51·}65 ·51·}
68 ·52·Minv.invert(); 
69 ·53·} 
70 ·54 
71 ·62·template<typename·F,·typename·C> 
72 63·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const66 ·52
 67 54·inline·void·evaluateJacobian·(·const·typename·Traits::DomainType·&in,
 68 ·55·std::vector<·typename·Traits::JacobianType·>·&out·)·const
 69 ·56·{
 70 ·57·typedef·typename·Traits::RangeFieldType·RangeFieldType;
 71 ·58·RangeFieldType·y0[·5·]·=·{·1,·0,·0,·2*in[·0·],·0·};
 72 ·59·RangeFieldType·y1[·5·]·=·{·0,·1,·0,·-2*in[·1·],·2*in[·1·]·};
 73 ·60·RangeFieldType·y2[·5·]·=·{·0,·0,·1,·0,·-2*in[·2·]·};
 74 ·61
 75 ·62·out.resize(·size()·);
 76 ·63·for(·unsigned·int·i·=·0;·i·<·size();·++i·)
73 ·64·{77 ·64·{
 78 ·65·out[·i·]·=·RangeFieldType(·0·);
74 ·65·using·DomainType·=·std::decay_t<decltype(qr.begin()->position())>; 
75 ·66 
76 ·67·auto&&·f·=·Impl::makeFunctionWithCallOperator<DomainType>(ff); 
77 ·68 
78 ·69·out.clear(); 
79 ·70·out.resize(size,·0); 
80 ·71 
81 ·72·const·QRiterator·qrend·=·qr.end(); 
82 ·73·for(QRiterator·qrit·=·qr.begin();·qrit·!=·qrend;·++qrit)·{ 
83 ·74·//TODO:·mass·matrix 
84 ·75·R·y·=·f(qrit->position()); 
85 ·76 
86 ·77·std::vector<R>·base; 
87 ·78·lb.evaluateFunction(qrit->position(),base); 
88 ·79 
89 ·80·for(unsigned·int·i·=·0;·i·<·size;·++i) 
90 ·81·for(unsigned·int·j·=·0;·j·<·size;·++j)79 ·66·for(·unsigned·int·j·=·0;·j·<·5;·++j·)
91 ·82·out[i]·+=·Minv[i][j]·*·qrit->weight()·*·y·*·base[j];80 ·67·{
 81 ·68·out[·i·][·0·][·0·]·+=·coefficients[·i·][·j+1·]*y0[·j·];
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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12 ····*·monomial12 ····*·rannacherturek
 13 ····*·rannacherturek2d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 monomiallocalbasis.hh·File·Reference15 rannacherturek2dlocalbasis.hh·File·Reference
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 20 #include·<dune/localfunctions/common/localbasis.hh>
19 #include·<dune/common/math.hh> 
20 #include·"../common/localbasis.hh" 
21 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
22 ·Classes22 ·Classes
 23 struct· Dune::RannacherTurek2DLocalBasis<_D,_R_>
23 ·class· Dune::MonomImp::EvalAccess<_Traits_> 
24  ·······Access·output·vector·of·evaluateFunction()·and·evaluate()·More... 
25   
26 ·class· Dune::MonomImp::JacobianAccess<_Traits_> 
27  ·······Access·output·vector·of·evaluateJacobian()·More... 
28   
29 struct· Dune::MonomImp::Evaluate<_Traits,_c_> 
30   
31 struct· Dune::MonomImp::Evaluate<_Traits,_1_> 
32   
33 ·class· Dune::MonomialLocalBasis<_D,_R,_d,_p_> 
34  ·······Constant·shape·function.·More... 
35  24  
36 ·Namespaces25 ·Namespaces
37 namespace· Dune26 namespace· Dune
38  27  
39 namespace· Dune::MonomImp 
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·monomial 
13 monomiallocalbasis.hh12 ····*·rannacherturek
 13 ····*·rannacherturek2d
 14 rannacherturek2dlocalbasis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALBASIS_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALBASIS_HH21 ·5#ifndef·DUNE_RANNACHER_TUREK_2D_LOCALBASIS_HH
 22 ·6#define·DUNE_RANNACHER_TUREK_2D_LOCALBASIS_HH
22 ·723 ·7
23 ·8#include·<array> 
24 ·9#include·<cassert> 
25 ·10#include·<numeric>24 ·8#include·<numeric>
26 ·1125 ·9#include·<vector>
 26 ·10
 27 ·11#include·<dune/common/fvector.hh>
27 ·12#include·<dune/common/fmatrix.hh>28 ·12#include·<dune/common/fmatrix.hh>
 29 ·13
 30 ·14#include·<dune/localfunctions/common/localbasis.hh>
 31 ·15
28 ·13#include·<dune/common/math.hh> 
29 ·14 
30 ·15#include·"../common/localbasis.hh" 
31 ·16 
32 ·17namespace·Dune32 ·16namespace·Dune
 33 ·17{
33 ·18{34 ·18
 35 ·19·template<·class·D,·class·R·>
 36 20·struct·RannacherTurek2DLocalBasis
34 19·namespace·MonomImp 
35 ·20·{ 
36 ·22·template·<typename·Traits> 
37 23·class·EvalAccess·{ 
38 ·24·std::vector<typename·Traits::RangeType>·&out; 
39 ·25#ifndef·NDEBUG 
40 ·26·unsigned·int·first_unused_index; 
41 ·27#endif 
42 ·28 
43 ·29·public: 
44 30·EvalAccess(std::vector<typename·Traits::RangeType>·&out_) 
45 ·31·:·out(out_) 
46 ·32#ifndef·NDEBUG 
47 ·33·,·first_unused_index(0) 
48 ·34#endif 
49 ·35·{·} 
50 ·36#ifndef·NDEBUG 
51 37·~EvalAccess()·{ 
52 ·38·assert(first_unused_index·==·out.size()); 
53 ·39·} 
54 ·40#endif 
55 41·typename·Traits::RangeFieldType·&operator[](unsigned·int·index) 
56 ·42·{ 
57 ·43·assert(index·<·out.size()); 
58 ·44#ifndef·NDEBUG 
59 ·45·if(first_unused_index·<=·index) 
60 ·46·first_unused_index·=·index+1; 
61 ·47#endif 
62 ·48·return·out[index][0]; 
63 ·49·} 
64 ·50·}; 
65 ·51 
66 ·53·template·<typename·Traits> 
67 54·class·JacobianAccess·{ 
68 ·55·std::vector<typename·Traits::JacobianType>·&out; 
69 ·56·unsigned·int·row; 
70 ·57#ifndef·NDEBUG 
71 ·58·unsigned·int·first_unused_index; 
72 ·59#endif 
73 ·60 
74 ·61·public: 
75 62·JacobianAccess(std::vector<typename·Traits::JacobianType>·&out_, 
76 ·63·unsigned·int·row_) 
77 ·64·:·out(out_),·row(row_) 
78 ·65#ifndef·NDEBUG 
79 ·66·,·first_unused_index(0) 
80 ·67#endif 
81 ·68·{·} 
82 ·69#ifndef·NDEBUG 
83 70·~JacobianAccess()·{ 
84 ·71·assert(first_unused_index·==·out.size()); 
85 ·72·} 
86 ·73#endif 
87 74·typename·Traits::RangeFieldType·&operator[](unsigned·int·index) 
88 ·75·{ 
89 ·76·assert(index·<·out.size()); 
90 ·77#ifndef·NDEBUG 
91 ·78·if(first_unused_index·<=·index) 
92 ·79·first_unused_index·=·index+1; 
93 ·80#endif 
94 ·81·return·out[index][0][row]; 
95 ·82·} 
96 ·83·}; 
97 ·84 
98 ·97·template·<typename·Traits,·int·c> 
99 98·struct·Evaluate 
100 ·99·{ 
101 101·constexpr·static·int·d·=·Traits::dimDomain·-·c; 
102 ·102 
103 ·109·template·<typename·Access> 
104 110·static·void·eval·( 
105 ·111·const·typename·Traits::DomainType·&in, 
106 ·114·const·std::array<unsigned·int,·Traits::dimDomain>·&derivatives, 
107 ·117·typename·Traits::RangeFieldType·prod, 
108 ·119·int·bound, 
109 ·121·int&·index, 
110 ·123·Access·&access) 
111 ·124·{ 
112 ·125·//·start·with·the·highest·exponent·for·this·dimension,·then·work·down 
113 ·126·for·(int·e·=·bound;·e·>=·0;·--e) 
114 ·127·{ 
115 ·128·//·the·rest·of·the·available·exponents,·to·be·used·by·the·other 
116 ·129·//·dimensions 
117 ·130·int·newbound·=·bound·-·e; 
118 ·131·if(e·<·(int)derivatives[d]) 
119 ·132·Evaluate<Traits,c-1>:: 
120 ·133eval(in,·derivatives,·0,·newbound,·index,·access); 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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10 ····*·dune10 ····*·dune
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12 ····*·monomial12 ····*·rannacherturek
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 monomiallocalcoefficients.hh·File·Reference14 rannachertureklocalcoefficients.hh·File·Reference
 15 #include·<algorithm>
 16 #include·<array>
 17 #include·<cassert>
15 #include·<cstddef>18 #include·<cstddef>
 19 #include·<dune/localfunctions/common/localkey.hh>
16 #include·<vector> 
17 #include·"../common/localkey.hh" 
18 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
19 ·Classes21 ·Classes
20 class· Dune::MonomialLocalCoefficients<_static_size_> 
21  ······Layout·map·for·monomial·finite·elements.·More...22 struct· Dune::RannacherTurekLocalCoefficients<_d_>
 23  ·······layout·for·Rannacher-Turek·elements·More...
22  24  
23 ·Namespaces25 ·Namespaces
24 namespace· Dune26 namespace· Dune
25  27  
  
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 13 rannachertureklocalcoefficients.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
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20 ·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALCOEFFICIENTS_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALCOEFFICIENTS_HH20 ·5#ifndef·DUNE_RANNACHER_TUREK_LOCALCOEFFICIENTS_HH
 21 ·6#define·DUNE_RANNACHER_TUREK_LOCALCOEFFICIENTS_HH
22 ·722 ·7
 23 ·8#include·<algorithm>
 24 ·9#include·<array>
 25 ·10#include·<cassert>
23 ·8#include·<cstddef>26 ·11#include·<cstddef>
24 ·9#include·<vector> 
25 ·10 
26 ·11#include·"../common/localkey.hh" 
27 ·1227 ·12
 28 ·13#include·<dune/localfunctions/common/localkey.hh>
 29 ·14
28 ·13namespace·Dune30 ·15namespace·Dune
29 ·14{31 ·16{
 32 ·24·template<·unsigned·int·d·>
 33 25·struct·RannacherTurekLocalCoefficients
30 ·15 
31 ·22·template<int·static_size> 
32 23·class·MonomialLocalCoefficients 
33 ·24·{34 ·26·{
 35 27·RannacherTurekLocalCoefficients·()
34 ·25·public: 
35 27·MonomialLocalCoefficients·() 
36 ·28·:·index(static_size,·LocalKey(0,0,0)) 
37 ·29·{36 ·28·{
38 ·30·for(int·i·=·0;·i·<·static_size;·++i) 
39 ·31·index[i].index(i);37 ·29·for(·std::size_t·i·=·0;·i·<·2*d;·++i·)
 38 ·30·localKeys_[·i·]·=·LocalKey(·i,·1,·0·);
40 ·32·}39 ·31·}
41 ·3340 ·32
 41 33·RannacherTurekLocalCoefficients·(·const·RannacherTurekLocalCoefficients
 42 &other·)
 43 ·34·{
 44 ·35·(*this)·=·other;
 45 ·36·}
 46 ·37
 47 38·RannacherTurekLocalCoefficients·&operator=(·const
 48 RannacherTurekLocalCoefficients·&other·)
 49 ·39·{
 50 ·40·std::copy(·other.localKeys_.begin(),·other.localKeys_.end(),
 51 localKeys_.begin()·);
 52 ·41·return·*this;
 53 ·42·}
 54 ·43
42 35·std::size_t·size·()·const55 45·std::size_t·size·()·const
43 ·36·{56 ·46·{
 57 ·47·return·2*d;
44 ·37·return·static_size; 
45 ·38·} 
46 ·39 
47 41·const·LocalKey&·localKey·(std::size_t·i)·const 
48 ·42·{ 
49 ·43·return·index[i]; 
50 ·44·} 
51 ·45 
52 ·46·private: 
53 ·47·std::vector<LocalKey>·index; 
54 ·48·};58 ·48·}
55 ·4959 ·49
56 ·50} 
57 ·51#endif·//DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALCOEFFICIENTS_HH60 51·const·LocalKey·&localKey·(·std::size_t·i·)·const
 61 ·52·{
 62 ·53·assert(·i·<·2*d·);
 63 ·54·return·localKeys_[·i·];
 64 ·55·}
 65 ·56
 66 ·57·private:
 67 ·58·std::array<·LocalKey,·2*d·>·localKeys_;
 68 ·59·};
 69 ·60
 70 ·61}·//·namespace·Dune
 71 ·62
 72 ·63#endif·//·#ifndef·DUNE_RANNACHER_TUREK_LOCALCOEFFICIENTS_HH
 73 localkey.hh
58 Dune74 Dune
59 Definition·bdfmcube.hh:1875 Definition·bdfmcube.hh:18
60 Dune::LocalKey76 Dune::LocalKey
61 Describe·position·of·one·degree·of·freedom.77 Describe·position·of·one·degree·of·freedom.
62 Definition·localkey.hh:2378 Definition·localkey.hh:23
63 Dune::MonomialLocalCoefficients 
64 Layout·map·for·monomial·finite·elements.79 Dune::RannacherTurekLocalCoefficients
 80 layout·for·Rannacher-Turek·elements
65 Definition·monomiallocalcoefficients.hh:2481 Definition·rannachertureklocalcoefficients.hh:26
 82 Dune::RannacherTurekLocalCoefficients::RannacherTurekLocalCoefficients
 83 RannacherTurekLocalCoefficients()
 84 Definition·rannachertureklocalcoefficients.hh:27
 85 Dune::RannacherTurekLocalCoefficients::RannacherTurekLocalCoefficients
 86 RannacherTurekLocalCoefficients(const·RannacherTurekLocalCoefficients·&other)
 87 Definition·rannachertureklocalcoefficients.hh:33
 88 Dune::RannacherTurekLocalCoefficients::operator=
 89 RannacherTurekLocalCoefficients·&·operator=(const
 90 RannacherTurekLocalCoefficients·&other)
 91 Definition·rannachertureklocalcoefficients.hh:38
 92 Dune::RannacherTurekLocalCoefficients::localKey
 93 const·LocalKey·&·localKey(std::size_t·i)·const
 94 map·index·i·to·local·key
 95 Definition·rannachertureklocalcoefficients.hh:51
66 Dune::MonomialLocalCoefficients::size96 Dune::RannacherTurekLocalCoefficients::size
67 std::size_t·size()·const97 std::size_t·size()·const
68 number·of·coefficients98 number·of·coefficients
69 Definition·monomiallocalcoefficients.hh:3599 Definition·rannachertureklocalcoefficients.hh:45
70 Dune::MonomialLocalCoefficients::MonomialLocalCoefficients 
71 MonomialLocalCoefficients() 
72 Standard·constructor. 
73 Definition·monomiallocalcoefficients.hh:27 
74 Dune::MonomialLocalCoefficients::localKey 
75 const·LocalKey·&·localKey(std::size_t·i)·const 
76 get·i'th·index 
77 Definition·monomiallocalcoefficients.hh:41 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·rannacherturek
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 raviartthomassimplex.hh·File·Reference 
15 Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices·of 
16 arbitrary·dimension.·More...14 rannachertureklocalinterpolation.hh·File·Reference
 15 #include·<cassert>
 16 #include·<vector>
 17 #include·<dune/common/fvector.hh>
 18 #include·<dune/geometry/referenceelements.hh>
 19 #include·<dune/localfunctions/common/localbasis.hh>
17 #include·<dune/localfunctions/utility/localfiniteelement.hh>20 #include·<dune/localfunctions/common/localinterpolation.hh>
18 #include·"raviartthomassimplex/raviartthomassimplexbasis.hh" 
19 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
20 ·Classes22 ·Classes
 23 class· Dune::RannacherTurekLocalInterpolation<_D,_R,_d_>
 24  ······please·doc·me·More...
21 class· Dune::RaviartThomasSimplexLocalFiniteElement<_dimDomain,_D,_R,_SF,_CF_> 
22  ······Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices 
23 ········of·arbitrary·dimension.·More... 
24  25  
25 ·Namespaces26 ·Namespaces
26 namespace· Dune27 namespace· Dune
27  28  
28 *****·Detailed·Description·***** 
29 Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices·of 
30 arbitrary·dimension. 
  
31 ===============================================================================29 ===============================================================================
32 ·····Generated·by [doxygen]·1.9.830 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·raviartthomassimplex.hh·Source·File</title>8 <title>dune-localfunctions:·rannachertureklocalinterpolation.hh·Source·File</title>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas 
13 raviartthomassimplex.hh12 ····*·rannacherturek
 13 rannachertureklocalinterpolation.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_SIMPLEX_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_SIMPLEX_HH20 ·5#ifndef·DUNE_RANNACHER_TUREK_LOCALINTERPOLATION_HH
 21 ·6#define·DUNE_RANNACHER_TUREK_LOCALINTERPOLATION_HH
22 ·722 ·7
23 ·8#include·<dune/localfunctions/utility/localfiniteelement.hh> 
24 ·9#include·"raviartthomassimplex/raviartthomassimplexbasis.hh"23 ·8#include·<cassert>
 24 ·9#include·<vector>
25 ·1025 ·10
 26 ·11#include·<dune/common/fvector.hh>
 27 ·12
 28 ·13#include·<dune/geometry/referenceelements.hh>
 29 ·14
 30 ·15#include·<dune/localfunctions/common/localbasis.hh>
 31 ·16#include·<dune/localfunctions/common/localinterpolation.hh>
 32 ·17
26 ·17namespace·Dune33 ·18namespace·Dune
27 ·18{34 ·19{
 35 ·20
 36 ·28·template<·class·D,·class·R,·unsigned·int·d·>
 37 29·class·RannacherTurekLocalInterpolation
 38 ·30·{
 39 ·31·typedef·LocalBasisTraits<_D,_d,_FieldVector<_D,_d_>,
 40 ·32·R,·1,·FieldVector<·R,·1·>,
 41 ·33·FieldMatrix<·R,·1,·d·>·>·Traits;
 42 ·34
28 ·35·template<unsigned·int·dimDomain,·class·D,·class·R, 
29 ·36·class·SF=R,·class·CF=SF> 
30 37·class·RaviartThomasSimplexLocalFiniteElement 
31 ·38·:·public·GenericLocalFiniteElement<RaviartThomasBasisFactory<dimDomain,·SF, 
32 CF>, 
33 ·39·RaviartThomasCoefficientsFactory<dimDomain>, 
34 ·40·RaviartThomasL2InterpolationFactory<dimDomain,·SF>·> 
35 ·41·{ 
36 ·42·typedef·GenericLocalFiniteElement<RaviartThomasBasisFactory<dimDomain,_SF, 
37 CF>, 
38 ·43·RaviartThomasCoefficientsFactory<dimDomain>, 
39 ·44·RaviartThomasL2InterpolationFactory<dimDomain,_SF>·>·Base; 
40 ·45·public:43 ·35·public:
41 ·46·using·typename·Base::Traits; 
42 ·47 
43 49·RaviartThomasSimplexLocalFiniteElement(const·GeometryType·&gt,·unsigned·int 
44 order) 
45 ·50·:·Base(gt,·order) 
46 ·51·{} 
47 ·52·};44 ·36·template<·class·F,·class·C·>
 45 37·void·interpolate·(·const·F·&ff,·std::vector<·C·>·&out·)·const
 46 ·38·{
 47 ·39·typedef·typename·Traits::DomainType·DomainType;
 48 ·40
 49 ·41·auto&&·f·=·Impl::makeFunctionWithCallOperator<DomainType>(ff);
 50 ·42
 51 ·43·//·get·cubic·reference·element
 52 ·44·auto·referenceElement·=·ReferenceElements<·D,·d·>::cube();
 53 ·45
 54 ·46·const·int·size·=·2*d;
 55 ·47·assert(·size·==·referenceElement.size(·1·)·);
 56 ·48
 57 ·49·//·resize·vector
 58 ·50·out.resize(·size·);
 59 ·51
 60 ·52·//·evaluate·local·function·in·barycenter·of·codim·1·subentities
 61 ·53·for(·int·i·=·0;·i·<·size;·++i·)
 62 ·54·{
 63 ·55·const·DomainType·&x·=·referenceElement.position(·i,·1·);
 64 ·56·out[·i·]·=·f(x);
 65 ·57·}
 66 ·58·}
 67 ·59
 68 ·60·};
 69 ·61
48 ·53}·//·namespace·Dune70 ·62}·//·namespace·Dune
 71 ·63
 72 ·64#endif·//·#ifndef·DUNE_RANNACHER_TUREK_LOCALINTERPOLATION_HH
49 ·54 
50 ·55#endif·//·#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_SIMPLEX_HH 
51 raviartthomassimplexbasis.hh 
52 Dune73 Dune
53 Definition·bdfmcube.hh:1874 Definition·bdfmcube.hh:18
 75 Dune::LocalBasisTraits
 76 Type·traits·for·LocalBasisVirtualInterface.
 77 Definition·common/localbasis.hh:34
 78 Dune::LocalBasisTraits::DomainType
 79 D·DomainType
 80 domain·type
 81 Definition·common/localbasis.hh:42
 82 Dune::RannacherTurekLocalInterpolation
 83 please·doc·me
 84 Definition·rannachertureklocalinterpolation.hh:30
 85 Dune::RannacherTurekLocalInterpolation::interpolate
 86 void·interpolate(const·F·&ff,·std::vector<·C·>·&out)·const
 87 Definition·rannachertureklocalinterpolation.hh:37
 88 localbasis.hh
 89 localinterpolation.hh
54 Dune::RaviartThomasSimplexLocalFiniteElement 
55 Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices·of 
56 arbitrary·dimension. 
57 Definition·raviartthomassimplex.hh:41 
58 Dune::RaviartThomasSimplexLocalFiniteElement:: 
59 RaviartThomasSimplexLocalFiniteElement 
60 RaviartThomasSimplexLocalFiniteElement(const·GeometryType·&gt,·unsigned·int 
61 order) 
62 Definition·raviartthomassimplex.hh:49 
63 Dune::RaviartThomasL2InterpolationFactory 
64 Definition·raviartthomassimplexinterpolation.hh:421 
65 Dune::RaviartThomasCoefficientsFactory 
66 Definition·raviartthomassimplexinterpolation.hh:70 
67 Dune::GenericLocalFiniteElement 
68 A·LocalFiniteElement·implementation·based·on·three·TopologyFactories·providing 
69 the·LocalBasis,... 
70 Definition·localfunctions/utility/localfiniteelement.hh:25 
71 Dune::GenericLocalFiniteElement::Traits 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·rannacherturek
12 ····*·raviartthomas 
13 ····*·raviartthomas0cube3d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
 14 rannachertureklocalbasis.hh·File·Reference
 15 #include·"rannacherturek2d/rannacherturek2dlocalbasis.hh"
 16 #include·"rannacherturek3d/rannacherturek3dlocalbasis.hh"
15 raviartthomas0cube3dall.hh·File·Reference 
16 #include·<cstddef> 
17 #include·<numeric> 
18 #include·<vector> 
19 #include·<dune/common/fmatrix.hh> 
20 #include·<dune/localfunctions/common/localbasis.hh> 
21 #include·<dune/localfunctions/common/localkey.hh> 
22 #include·<dune/localfunctions/common/localinterpolation.hh> 
23 Go_to_the_source_code_of_this_file.17 Go_to_the_source_code_of_this_file.
24 ·Classes18 ·Classes
 19 struct· Dune::RannacherTurekLocalBasis<_D,_R,_2_>
25 class· Dune::RT0Cube3DLocalBasis<_D,_R_> 
26  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference 
27 ········hexahedron.·More... 
28  20  
 21 struct· Dune::RannacherTurekLocalBasis<_D,_R,_3_>
29 class· Dune::RT0Cube3DLocalInterpolation<_LB_> 
30  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference 
31 ········hexahedron.·More... 
32   
33 class· Dune::RT0Cube3DLocalCoefficients 
34  ······Layout·map·for·RT0·elements·on·quadrilaterals.·More... 
35  22  
36 ·Namespaces23 ·Namespaces
37 namespace· Dune24 namespace· Dune
38  25  
  
39 ===============================================================================26 ===============================================================================
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·rannacherturek
 13 rannachertureklocalbasis.hh
12 ····*·raviartthomas 
13 ····*·raviartthomas0cube3d 
14 raviartthomas0cube3dall.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_ALL_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_ALL_HH20 ·5#ifndef·DUNE_RANNACHER_TUREK_LOCALBASIS_HH
 21 ·6#define·DUNE_RANNACHER_TUREK_LOCALBASIS_HH
23 ·722 ·7
24 ·8#include·<cstddef> 
25 ·9#include·<numeric> 
26 ·10#include·<vector> 
27 ·11 
28 ·12#include·<dune/common/fmatrix.hh>23 ·8#include·"rannacherturek2d/rannacherturek2dlocalbasis.hh"
 24 ·9#include·"rannacherturek3d/rannacherturek3dlocalbasis.hh"
 25 ·10
 26 ·11namespace·Dune
 27 ·12{
29 ·1328 ·13
 29 ·23·template<·class·D,·class·R,·unsigned·int·d·>
 30 24·struct·RannacherTurekLocalBasis;
 31 ·25
30 ·14#include·<dune/localfunctions/common/localbasis.hh> 
31 ·15#include·<dune/localfunctions/common/localkey.hh> 
32 ·16#include·<dune/localfunctions/common/localinterpolation.hh> 
33 ·17 
34 ·18namespace·Dune 
35 ·19{ 
36 ·28·template<class·D,·class·R>32 ·26·template<·class·D,·class·R·>
 33 27·struct·RannacherTurekLocalBasis<·D,·R,·2·>
 34 ·28·:·public·RannacherTurek2DLocalBasis<·D,·R·>
37 29·class·RT0Cube3DLocalBasis 
38 ·30·{ 
39 ·31·public: 
40 ·32·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune:: 
41 FieldVector<R,3>, 
42 33·Dune::FieldMatrix<R,3,3>·>·Traits; 
43 ·34 
44 36·RT0Cube3DLocalBasis·(unsigned·int·s·=·0) 
45 ·37·{ 
46 ·38·sign0·=·sign1·=·sign2·=·sign3·=·sign4·=·sign5·=·1.0; 
47 ·39·if·(s&1)·sign0·=·-1.0; 
48 ·40·if·(s&2)·sign1·=·-1.0; 
49 ·41·if·(s&4)·sign2·=·-1.0; 
50 ·42·if·(s&8)·sign3·=·-1.0; 
51 ·43·if·(s&16)·sign4·=·-1.0; 
52 ·44·if·(s&32)·sign5·=·-1.0; 
53 ·45·} 
54 ·46 
55 48·unsigned·int·size·()·const 
56 ·49·{ 
57 ·50·return·6; 
58 ·51·} 
59 ·52 
60 54·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
61 ·55·std::vector<typename·Traits::RangeType>&·out)·const 
62 ·56·{ 
63 ·57·out.resize(6); 
64 ·58·out[0][0]·=·sign0*(in[0]-1.0);·out[0][1]=0.0;·out[0][2]=0.0; 
65 ·59·out[1][0]·=·sign1*(in[0]);·out[1][1]=0.0;·out[1][2]=0.0; 
66 ·60·out[2][0]·=·0.0;·out[2][1]=sign2*(in[1]-1.0);·out[2][2]=0.0; 
67 ·61·out[3][0]·=·0.0;·out[3][1]=sign3*(in[1]);·out[3][2]=0.0; 
68 ·62·out[4][0]·=·0.0;·out[4][1]=0.0;·out[4][2]=sign4*(in[2]-1.0); 
69 ·63·out[5][0]·=·0.0;·out[5][1]=0.0;·out[5][2]=sign5*(in[2]); 
70 ·64·} 
71 ·65 
72 ·67·inline·void 
73 68·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position 
74 ·69·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value 
75 ·70·{ 
76 ·71·out.resize(6); 
77 ·72·out[0][0][0]·=·sign0;·out[0][0][1]·=·0;·out[0][0][2]·=·0; 
78 ·73·out[0][1][0]·=·0;·out[0][1][1]·=·0;·out[0][1][2]·=·0; 
79 ·74·out[0][2][0]·=·0;·out[0][2][1]·=·0;·out[0][2][2]·=·0; 
80 ·75 
81 ·76·out[1][0][0]·=·sign1;·out[1][0][1]·=·0;·out[1][0][2]·=·0; 
82 ·77·out[1][1][0]·=·0;·out[1][1][1]·=·0;·out[1][1][2]·=·0; 
83 ·78·out[1][2][0]·=·0;·out[1][2][1]·=·0;·out[1][2][2]·=·0; 
84 ·79 
85 ·80·out[2][0][0]·=·0;·out[2][0][1]·=·0;·out[2][0][2]·=·0; 
86 ·81·out[2][1][0]·=·0;·out[2][1][1]·=·sign2;·out[2][1][2]·=·0; 
87 ·82·out[2][2][0]·=·0;·out[2][2][1]·=·0;·out[2][2][2]·=·0; 
88 ·83 
89 ·84·out[3][0][0]·=·0;·out[3][0][1]·=·0;·out[3][0][2]·=·0; 
90 ·85·out[3][1][0]·=·0;·out[3][1][1]·=·sign3;·out[3][1][2]·=·0; 
91 ·86·out[3][2][0]·=·0;·out[3][2][1]·=·0;·out[3][2][2]·=·0; 
92 ·87 
93 ·88·out[4][0][0]·=·0;·out[4][0][1]·=·0;·out[4][0][2]·=·0; 
94 ·89·out[4][1][0]·=·0;·out[4][1][1]·=·0;·out[4][1][2]·=·0; 
95 ·90·out[4][2][0]·=·0;·out[4][2][1]·=·0;·out[4][2][2]·=·sign4; 
96 ·91 
97 ·92·out[5][0][0]·=·0;·out[5][0][1]·=·0;·out[5][0][2]·=·0; 
98 ·93·out[5][1][0]·=·0;·out[5][1][1]·=·0;·out[5][1][2]·=·0; 
99 ·94·out[5][2][0]·=·0;·out[5][2][1]·=·0;·out[5][2][2]·=·sign5; 
100 ·95·} 
101 ·96 
102 98·void·partial·(const·std::array<unsigned·int,·3>&·order, 
103 ·99·const·typename·Traits::DomainType&·in,·//·position 
104 ·100·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value 
105 ·101·{ 
106 ·102·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0); 
107 ·103·if·(totalOrder·==·0)·{ 
108 ·104·evaluateFunction(in,·out); 
109 ·105·}·else·if·(totalOrder·==·1)·{ 
110 ·106·auto·const·direction·=·std::distance(order.begin(),·std::find(order.begin 
111 (),·order.end(),·1)); 
112 ·107·out.resize(size()); 
113 ·108 
114 ·109·for·(std::size_t·i·=·0;·i·<·size();·++i) 
115 ·110·out[i][0]·=·out[i][1]·=·out[i][2]·=·0; 
116 ·111 
117 ·112·switch·(direction)·{ 
118 ·113·case·0: 
119 ·114·out[0][0]·=·sign0; 
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas12d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 raviartthomas12dlocalcoefficients.hh·File·Reference 
16 #include·<cstddef> 
17 #include·<vector> 
18 #include·"../../common/localkey.hh"14 raviartthomas0cube2d.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
 16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 17 #include·"raviartthomas0cube2d/raviartthomas0cube2dall.hh"
19 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
20 ·Classes19 ·Classes
 20 class· Dune::RT0Cube2DLocalFiniteElement<_D,_R_>
 21  ······Zero·order·Raviart-Thomas·shape·functions·on·rectangles.·More...
21 class· Dune::RT12DLocalCoefficients 
22  ······Layout·map·for·Raviart-Thomas-1·elements·on·the·reference·triangle. 
23 ········More... 
24  22  
25 ·Namespaces23 ·Namespaces
26 namespace· Dune24 namespace· Dune
27  25  
  
28 ===============================================================================26 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.827 ·····Generated·by [doxygen]·1.9.8
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10 No·Matches10 No·Matches
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12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
 14 raviartthomas0cube2d.hh
14 ····*·raviartthomas12d 
15 raviartthomas12dlocalcoefficients.hh 
16 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALCOEFFICIENTS_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE2D_LOCALFINITEELEMENT_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALCOEFFICIENTS_HH22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE2D_LOCALFINITEELEMENT_HH
24 ·723 ·7
25 ·8#include·<cstddef> 
26 ·9#include·<vector> 
27 ·10 
28 ·11#include·"../../common/localkey.hh"24 ·8#include·<dune/geometry/type.hh>
 25 ·9
 26 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 27 ·11#include·"raviartthomas0cube2d/raviartthomas0cube2dall.hh"
29 ·1228 ·12
30 ·13namespace·Dune29 ·13namespace·Dune
31 ·14{30 ·14{
32 ·15 
33 22·class·RT12DLocalCoefficients31 ·23·template<class·D,·class·R>
 32 24·class·RT0Cube2DLocalFiniteElement
34 ·23·{33 ·25·{
35 ·24 
36 ·25·public:34 ·26·public:
37 27·RT12DLocalCoefficients·()·:·li(8) 
38 ·28·{ 
39 ·29·for·(std::size_t·i·=·0;·i·<·3;·i++) 
40 ·30·{ 
41 ·31·li[i]·=·LocalKey(i,1,0); 
42 ·32·li[3·+·i]·=·LocalKey(i,1,1);35 ·27·typedef·LocalFiniteElementTraits<
 36 ·28·RT0Cube2DLocalBasis<D,R>,
 37 ·29·RT0Cube2DLocalCoefficients,
 38 30·RT0Cube2DLocalInterpolation<RT0Cube2DLocalBasis<D,R>·>·>·Traits;
 39 ·31
 40 32·RT0Cube2DLocalFiniteElement·()
43 ·33·}41 ·33·{}
44 ·3442 ·34
45 ·35·//·last·two·DOF·are·associated·with·the·cell·(codim·=·0) 
46 ·36·li[6]·=·LocalKey(0,0,0); 
47 ·37·li[7]·=·LocalKey(0,0,1);43 35·RT0Cube2DLocalFiniteElement·(int·s)·:
 44 ·36·basis(s),
 45 ·37·interpolation(s)
48 ·38·}46 ·38·{}
49 ·3947 ·39
50 41·std::size_t·size·()·const48 40·const·typename·Traits::LocalBasisType&·localBasis·()·const
51 ·42·{49 ·41·{
52 ·43·return·8;50 ·42·return·basis;
53 ·44·}51 ·43·}
54 ·45 
55 47·const·LocalKey&·localKey·(std::size_t·i)·const52 ·44
 53 45·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
56 ·48·{54 ·46·{
57 ·49·return·li[i];55 ·47·return·coefficients;
 56 ·48·}
 57 ·49
 58 50·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 59 ·51·{
 60 ·52·return·interpolation;
58 ·50·}61 ·53·}
59 ·5162 ·54
 63 56·unsigned·int·size·()·const
 64 ·57·{
 65 ·58·return·basis.size();
 66 ·59·}
 67 ·60
 68 61·static·constexpr·GeometryType·type·()
 69 ·62·{
 70 ·63·return·GeometryTypes::quadrilateral;
 71 ·64·}
 72 ·65
60 ·52·private:73 ·66·private:
61 ·53·std::vector<LocalKey>·li; 
62 ·54·}; 
63 ·55}74 ·67·RT0Cube2DLocalBasis<D,R>·basis;
 75 ·68·RT0Cube2DLocalCoefficients·coefficients;
 76 ·69·RT0Cube2DLocalInterpolation<RT0Cube2DLocalBasis<D,R>·>·interpolation;
 77 ·70·};
 78 ·71}
64 ·56#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALCOEFFICIENTS_HH79 ·72#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE2D_LOCALFINITEELEMENT_HH
 80 localfiniteelementtraits.hh
 81 raviartthomas0cube2dall.hh
65 Dune82 Dune
66 Definition·bdfmcube.hh:1883 Definition·bdfmcube.hh:18
67 Dune::LocalKey 
68 Describe·position·of·one·degree·of·freedom. 
69 Definition·localkey.hh:2384 Dune::LocalFiniteElementTraits
 85 traits·helper·struct
 86 Definition·localfiniteelementtraits.hh:13
 87 Dune::LocalFiniteElementTraits::LocalBasisType
 88 LB·LocalBasisType
 89 Definition·localfiniteelementtraits.hh:16
 90 Dune::LocalFiniteElementTraits::LocalCoefficientsType
 91 LC·LocalCoefficientsType
 92 Definition·localfiniteelementtraits.hh:20
 93 Dune::LocalFiniteElementTraits::LocalInterpolationType
 94 LI·LocalInterpolationType
 95 Definition·localfiniteelementtraits.hh:24
 96 Dune::RT0Cube2DLocalFiniteElement
 97 Zero·order·Raviart-Thomas·shape·functions·on·rectangles.
 98 Definition·raviartthomas0cube2d.hh:25
 99 Dune::RT0Cube2DLocalFiniteElement::localCoefficients
 100 const·Traits::LocalCoefficientsType·&·localCoefficients()·const
 101 Definition·raviartthomas0cube2d.hh:45
 102 Dune::RT0Cube2DLocalFiniteElement::RT0Cube2DLocalFiniteElement
 103 RT0Cube2DLocalFiniteElement()
 104 Definition·raviartthomas0cube2d.hh:32
 105 Dune::RT0Cube2DLocalFiniteElement::localInterpolation
 106 const·Traits::LocalInterpolationType·&·localInterpolation()·const
 107 Definition·raviartthomas0cube2d.hh:50
 108 Dune::RT0Cube2DLocalFiniteElement::Traits
 109 LocalFiniteElementTraits<·RT0Cube2DLocalBasis<·D,·R·>,
 110 RT0Cube2DLocalCoefficients,·RT0Cube2DLocalInterpolation<·RT0Cube2DLocalBasis<
 111 D,·R·>·>·>·Traits
 112 Definition·raviartthomas0cube2d.hh:30
 113 Dune::RT0Cube2DLocalFiniteElement::size
 114 unsigned·int·size()·const
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10 ····*·dune10 ····*·dune
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12 ····*·raviartthomas12 ····*·raviartthomas
 13 Namespaces·|·Typedefs
13 ····*·raviartthomas12d 
14 Classes·|·Namespaces 
15 raviartthomas12dlocalinterpolation.hh·File·Reference14 raviartthomaslfecache.hh·File·Reference
16 #include·<vector>15 #include·<tuple>
 16 #include·<utility>
17 #include·<dune/geometry/quadraturerules.hh>17 #include·<dune/geometry/type.hh>
 18 #include·<dune/geometry/typeindex.hh>
 19 #include·<dune/localfunctions/raviartthomas.hh>
18 #include·<dune/localfunctions/common/localinterpolation.hh>20 #include·<dune/localfunctions/common/localfiniteelementvariantcache.hh>
19 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
20 ·Classes 
21 class· Dune::RT12DLocalInterpolation<_LB_> 
22  ······First·order·Raviart-Thomas·shape·functions·on·the·reference 
23 ········quadrilateral.·More... 
24   
25 ·Namespaces22 ·Namespaces
26 namespace· Dune23 namespace· Dune
27  24  
 25 ·Typedefs
 26 template<class·D·,·class·R·,·std::size_t·dim,·std::size_t·order>
 27 using Dune::RaviartThomasLocalFiniteElementCache·=
 28 ·······LocalFiniteElementVariantCache<·Impl::
 29 ·······ImplementedRaviartThomasLocalFiniteElements<·D,·R,·dim,·order·>·>
 30  ·····A·cache·that·stores·all·available·Raviart-Thomas·local·finite·elements
 31 ·······for·the·given·dimension·and·order.
 32  
  
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
 14 raviartthomaslfecache.hh
14 ····*·raviartthomas12d 
15 raviartthomas12dlocalinterpolation.hh 
16 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALINTERPOLATION_HH 
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALINTERPOLATION_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMASLFECACHE_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMASLFECACHE_HH
24 ·723 ·7
25 ·8#include·<vector>24 ·8#include·<tuple>
26 ·925 ·9#include·<utility>
 26 ·10
27 ·10#include·<dune/geometry/quadraturerules.hh>27 ·11#include·<dune/geometry/type.hh>
 28 ·12#include·<dune/geometry/typeindex.hh>
 29 ·13
 30 ·14#include·<dune/localfunctions/raviartthomas.hh>
28 ·11#include·<dune/localfunctions/common/localinterpolation.hh>31 ·15#include·<dune/localfunctions/common/localfiniteelementvariantcache.hh>
29 ·1232 ·16
30 ·13namespace·Dune33 ·17namespace·Dune·{
31 ·14{ 
32 ·15 
33 ·24·template<class·LB> 
34 25·class·RT12DLocalInterpolation34 ·18
 35 ·19namespace·Impl·{
 36 ·20
 37 ·21·//·Provide·implemented·Raviart-Thomas·local·finite·elements
 38 ·22
 39 ·23·template<class·D,·class·R,·std::size_t·dim,·std::size_t·order>
 40 ·24·struct·ImplementedRaviartThomasLocalFiniteElements
 41 ·25·{};
 42 ·26
 43 ·27·template<class·D,·class·R>
 44 ·28·struct·ImplementedRaviartThomasLocalFiniteElements<D,R,2,0>·:·public
 45 FixedDimLocalGeometryTypeIndex<2>
35 ·26·{46 ·29·{
 47 ·30·using·FixedDimLocalGeometryTypeIndex<2>::index;
 48 ·31·static·auto·getImplementations()
36 ·27 
37 ·28·public: 
38 ·29 
39 35·RT12DLocalInterpolation·(std::bitset<3>·s·=·0) 
40 ·36·{49 ·32·{
41 ·37·using·std::sqrt; 
42 ·38·for·(size_t·i=0;·i<3;·i++) 
43 ·39·sign_[i]·=·(s[i])·?·-1.0·:·1.0; 
44 ·40 
45 ·41·n_[0]·=·{·0.0,·-1.0}; 
46 ·42·n_[1]·=·{-1.0,·0.0}; 
47 ·43·n_[2]·=·{·1.0/sqrt(2.0),·1.0/sqrt(2.0)}; 
48 ·44 
49 ·45·c_·=·{·0.5*n_[0][0]·-·1.0*n_[0][1], 
50 ·46·-1.0*n_[1][0]·+·0.5*n_[1][1], 
51 ·47·0.5*n_[2][0]·+·0.5*n_[2][1]}; 
52 ·48·} 
53 ·49 
54 ·58·template<typename·F,·typename·C> 
55 59·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
56 ·60·{ 
57 ·61·//·f·gives·v*outer·normal·at·a·point·on·the·edge! 
58 ·62·typedef·typename·LB::Traits::RangeFieldType·Scalar; 
59 ·63·typedef·typename·LB::Traits::DomainFieldType·Vector;50 ·33·return·std::make_tuple(
 51 ·34·std::make_pair(index(GeometryTypes::triangle),·[]()·{·return
 52 RT02DLocalFiniteElement<D,R>();·}),
 53 ·35·std::make_pair(index(GeometryTypes::quadrilateral),·[]()·{·return
 54 RT0Cube2DLocalFiniteElement<D,R>();·})
 55 ·36·);
 56 ·37·}
 57 ·38·};
 58 ·39
 59 ·40·template<class·D,·class·R>
 60 ·41·struct·ImplementedRaviartThomasLocalFiniteElements<D,R,2,1>·:·public
 61 FixedDimLocalGeometryTypeIndex<2>
 62 ·42·{
 63 ·43·using·FixedDimLocalGeometryTypeIndex<2>::index;
 64 ·44·static·auto·getImplementations()
 65 ·45·{
 66 ·46·return·std::make_tuple(
 67 ·47·std::make_pair(index(GeometryTypes::triangle),·[]()·{·return
 68 RT12DLocalFiniteElement<D,R>();·}),
 69 ·48·std::make_pair(index(GeometryTypes::quadrilateral),·[]()·{·return
 70 RT1Cube2DLocalFiniteElement<D,R>();·})
 71 ·49·);
 72 ·50·}
 73 ·51·};
 74 ·52
 75 ·53·template<class·D,·class·R>
 76 ·54·struct·ImplementedRaviartThomasLocalFiniteElements<D,R,2,2>·:·public
 77 FixedDimLocalGeometryTypeIndex<2>
 78 ·55·{
 79 ·56·using·FixedDimLocalGeometryTypeIndex<2>::index;
 80 ·57·static·auto·getImplementations()
 81 ·58·{
 82 ·59·return·std::make_tuple(
 83 ·60·std::make_pair(index(GeometryTypes::quadrilateral),·[]()·{·return
 84 RT2Cube2DLocalFiniteElement<D,R>();·})
 85 ·61·);
 86 ·62·}
 87 ·63·};
60 ·6488 ·64
 89 ·65·template<class·D,·class·R>
 90 ·66·struct·ImplementedRaviartThomasLocalFiniteElements<D,R,3,0>·:·public
 91 FixedDimLocalGeometryTypeIndex<3>
61 ·65·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
62 DomainType>(ff); 
63 ·66 
64 ·67·out.resize(8); 
65 ·68·fill(out.begin(),·out.end(),·0.0); 
66 ·69 
67 ·70·const·int·qOrder1·=·4; 
68 ·71·const·auto&·rule1·=·Dune::QuadratureRules<Scalar,1>::rule(Dune:: 
69 GeometryTypes::simplex(1),·qOrder1); 
70 ·72 
71 ·73·for·(auto&&·qp·:·rule1) 
72 ·74·{92 ·67·{
73 ·75·Scalar·qPos·=·qp.position(); 
74 ·76·typename·LB::Traits::DomainType·localPos;93 ·68·using·FixedDimLocalGeometryTypeIndex<3>::index;
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas12d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 raviartthomas12dlocalbasis.hh·File·Reference14 raviartthomascube.hh·File·Reference
16 #include·<numeric> 
17 #include·<vector> 
18 #include·<dune/common/fmatrix.hh> 
19 #include·"../../common/localbasis.hh"15 Convenience·header·that·includes·all·available·Raviart-Thomas·local·finite
 16 elements·for·cubes.·More...
 17 #include·"raviartthomas0cube2d.hh"
 18 #include·"raviartthomas0cube3d.hh"
 19 #include·"raviartthomas1cube2d.hh"
 20 #include·"raviartthomas1cube3d.hh"
 21 #include·"raviartthomas2cube2d.hh"
 22 #include·"raviartthomas3cube2d.hh"
 23 #include·"raviartthomas4cube2d.hh"
20 Go_to_the_source_code_of_this_file.24 Go_to_the_source_code_of_this_file.
21 ·Classes25 ·Classes
22 class· Dune::RT12DLocalBasis<_D,_R_> 
23  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·triangle.26 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_2,_0_>
 27  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and
24 ········More...28 ········order·0.·More...
 29  
 30 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_2,_1_>
 31  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and
 32 ········order·1.·More...
 33  
 34 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_2,_2_>
 35  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and
 36 ········order·2.·More...
 37  
 38 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_2,_3_>
 39  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and
 40 ········order·3.·More...
 41  
 42 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_2,_4_>
 43  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and
 44 ········order·4.·More...
 45  
 46 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_3,_0_>
 47  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·3·and
 48 ········order·0.·More...
 49  
 50 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_3,_1_>
 51  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·3·and
 52 ········order·1.·More...
25  53  
26 ·Namespaces54 ·Namespaces
27 namespace· Dune55 namespace· Dune
28  56  
 57 *****·Detailed·Description·*****
 58 Convenience·header·that·includes·all·available·Raviart-Thomas·local·finite
 59 elements·for·cubes.
  
29 ===============================================================================60 ===============================================================================
30 ·····Generated·by [doxygen]·1.9.861 ·····Generated·by [doxygen]·1.9.8
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7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>
8 <title>dune-localfunctions:·raviartthomas12dlocalbasis.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomascube.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
 14 raviartthomascube.hh
14 ····*·raviartthomas12d 
15 raviartthomas12dlocalbasis.hh 
16 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALBASIS_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_CUBE_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALBASIS_HH22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_CUBE_HH
24 ·723 ·7
25 ·8#include·<numeric> 
26 ·9#include·<vector> 
27 ·10 
28 ·11#include·<dune/common/fmatrix.hh> 
29 ·12 
30 ·13#include·"../../common/localbasis.hh" 
31 ·1424 ·8#include·"raviartthomas0cube2d.hh"
 25 ·9#include·"raviartthomas0cube3d.hh"
 26 ·10#include·"raviartthomas1cube2d.hh"
 27 ·11#include·"raviartthomas1cube3d.hh"
 28 ·12#include·"raviartthomas2cube2d.hh"
 29 ·13#include·"raviartthomas3cube2d.hh"
 30 ·14#include·"raviartthomas4cube2d.hh"
 31 ·15
32 ·15namespace·Dune32 ·22namespace·Dune
33 ·16{33 ·23{
 34 ·39·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
 35 40·class·RaviartThomasCubeLocalFiniteElement;
 36 ·41
 37 ·45·template<class·D,·class·R>
 38 46·class·RaviartThomasCubeLocalFiniteElement<D,·R,·2,·0>
 39 ·47·:·public·RT0Cube2DLocalFiniteElement<D,·R>
 40 ·48·{
 41 ·49·public:
 42 50·RaviartThomasCubeLocalFiniteElement()
 43 ·51·:·RT0Cube2DLocalFiniteElement<D,·R>::RT0Cube2DLocalFiniteElement()
 44 ·52·{}
 45 ·53
 46 54·RaviartThomasCubeLocalFiniteElement(int·s)
 47 ·55·:·RT0Cube2DLocalFiniteElement<D,·R>::RT0Cube2DLocalFiniteElement(s)
 48 ·56·{}
 49 ·57·};
 50 ·58
34 ·26·template<class·D,·class·R>51 ·62·template<class·D,·class·R>
35 27·class·RT12DLocalBasis52 63·class·RaviartThomasCubeLocalFiniteElement<D,·R,·2,·1>
 53 ·64·:·public·RT1Cube2DLocalFiniteElement<D,·R>
 54 ·65·{
 55 ·66·public:
 56 67·RaviartThomasCubeLocalFiniteElement()
 57 ·68·:·RT1Cube2DLocalFiniteElement<D,·R>::RT1Cube2DLocalFiniteElement()
 58 ·69·{}
 59 ·70
 60 71·RaviartThomasCubeLocalFiniteElement(int·s)
 61 ·72·:·RT1Cube2DLocalFiniteElement<D,·R>::RT1Cube2DLocalFiniteElement(s)
 62 ·73·{}
 63 ·74·};
 64 ·75
 65 ·79·template<class·D,·class·R>
 66 80·class·RaviartThomasCubeLocalFiniteElement<D,·R,·2,·2>
 67 ·81·:·public·RT2Cube2DLocalFiniteElement<D,·R>
36 ·28·{68 ·82·{
37 ·29 
38 ·30·public:69 ·83·public:
 70 84·RaviartThomasCubeLocalFiniteElement()
 71 ·85·:·RT2Cube2DLocalFiniteElement<D,·R>::RT2Cube2DLocalFiniteElement()
 72 ·86·{}
 73 ·87
 74 88·RaviartThomasCubeLocalFiniteElement(int·s)
 75 ·89·:·RT2Cube2DLocalFiniteElement<D,·R>::RT2Cube2DLocalFiniteElement(s)
 76 ·90·{}
 77 ·91·};
 78 ·92
 79 ·96·template<class·D,·class·R>
 80 97·class·RaviartThomasCubeLocalFiniteElement<D,·R,·2,·3>
 81 ·98·:·public·RT3Cube2DLocalFiniteElement<D,·R>
39 ·31·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune:: 
40 FieldVector<R,2>, 
41 32·Dune::FieldMatrix<R,2,2>·>·Traits; 
42 ·33 
43 39·RT12DLocalBasis·(std::bitset<3>·s·=·0) 
44 ·40·{ 
45 ·41·for·(size_t·i=0;·i<3;·i++) 
46 ·42·sign_[i]·=·(s[i])·?·-1.0·:·1.0; 
47 ·43·} 
48 ·44 
49 46·unsigned·int·size·()·const 
50 ·47·{ 
51 ·48·return·8; 
52 ·49·} 
53 ·50 
54 57·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
55 ·58·std::vector<typename·Traits::RangeType>&·out)·const 
56 ·59·{82 ·99·{
 83 ·100·public:
 84 101·RaviartThomasCubeLocalFiniteElement()
 85 ·102·:·RT3Cube2DLocalFiniteElement<D,·R>::RT3Cube2DLocalFiniteElement()
 86 ·103·{}
57 ·60·out.resize(8); 
58 ·61·out[0][0]·=·sign_[0]*(in[0]·-·4.0*in[0]*in[1]); 
59 ·62·out[0][1]·=·sign_[0]*(-1.0·+·5.0*in[1]·-·4.0*in[1]*in[1]); 
60 ·63·out[1][0]·=·sign_[1]*(-1.0·+·5.0*in[0]·-·4.0*in[0]*in[0]); 
61 ·64·out[1][1]·=·sign_[1]*(in[1]·-·4.0*in[0]*in[1]); 
62 ·65·out[2][0]·=·sign_[2]*(-3.0*in[0]·+·4.0*in[0]*in[0]·+·4.0*in[1]*in[0]); 
63 ·66·out[2][1]·=·sign_[2]*(-3.0*in[1]·+·4.0*in[0]*in[1]·+·4.0*in[1]*in[1]); 
64 ·67·out[3][0]·=·-5.0*in[0]·+·8.0*in[0]*in[0]·+·4.0*in[1]*in[0]; 
65 ·68·out[3][1]·=·3.0·-·6.0*in[0]·-·7.0*in[1]·+·8.0*in[0]*in[1]·+·4.0*in[1]*in 
66 [1]; 
67 ·69·out[4][0]·=·-3.0·+·7.0*in[0]·+·6.0*in[1]·-·4.0*in[0]*in[0]·-·8.0*in[1]*in 
68 [0]; 
69 ·70·out[4][1]·=·5.0*in[1]·-·4.0*in[0]*in[1]·-·8.0*in[1]*in[1]; 
70 ·71·out[5][0]·=·in[0]·-·4.0*in[0]*in[0]·+·4.0*in[1]*in[0]; 
71 ·72·out[5][1]·=·-1.0*in[1]·-·4.0*in[0]*in[1]·+·4.0*in[1]*in[1]; 
72 ·73·out[6][0]·=·16.0*in[0]·-·16.0*in[0]*in[0]·-·8.0*in[1]*in[0]; 
73 ·74·out[6][1]·=·8.0*in[1]·-·16.0*in[0]*in[1]·-·8.0*in[1]*in[1]; 
74 ·75·out[7][0]·=·8.0*in[0]·-·8.0*in[0]*in[0]·-·16.0*in[1]*in[0]; 
75 ·76·out[7][1]·=·16.0*in[1]·-·8.0*in[0]*in[1]·-·16.0*in[1]*in[1]; 
76 ·77·} 
77 ·78 
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17 #include·<vector> 
18 #include·"../../common/localkey.hh"15 #include·<dune/geometry/type.hh>
 16 #include·"../common/localfiniteelementtraits.hh"
 17 #include·"raviartthomas2cube2d/raviartthomas2cube2dlocalbasis.hh"
 18 #include·"raviartthomas2cube2d/raviartthomas2cube2dlocalcoefficients.hh"
 19 #include·"raviartthomas2cube2d/raviartthomas2cube2dlocalinterpolation.hh"
19 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
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21 class· Dune::RT2Cube2DLocalCoefficients 
22  ······Layout·map·for·Raviart-Thomas-2·elements·on·quadrilaterals.·More...22 class· Dune::RT2Cube2DLocalFiniteElement<_D,_R_>
 23  ······Second·order·Raviart-Thomas·shape·functions·on·cubes.·More...
23  24  
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15 raviartthomas2cube2dlocalcoefficients.hh 
16 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
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22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALCOEFFICIENTS_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALFINITEELEMENT_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALCOEFFICIENTS_HH22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALFINITEELEMENT_HH
24 ·723 ·7
25 ·8#include·<cstddef> 
26 ·9#include·<vector> 
27 ·10 
28 ·11#include·"../../common/localkey.hh" 
29 ·1224 ·8#include·<dune/geometry/type.hh>
 25 ·9
 26 ·10#include·"../common/localfiniteelementtraits.hh"
 27 ·11#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalbasis.hh"
 28 ·12#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalcoefficients.hh"
 29 ·13#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalinterpolation.hh"
 30 ·14
30 ·13namespace·Dune31 ·15namespace·Dune
31 ·14{32 ·16{
32 22·class·RT2Cube2DLocalCoefficients33 ·25·template<class·D,·class·R>
 34 26·class·RT2Cube2DLocalFiniteElement
33 ·23·{35 ·27·{
34 ·2436 ·28
35 ·25·public:37 ·29·public:
 38 ·30·typedef·LocalFiniteElementTraits<
 39 ·31·RT2Cube2DLocalBasis<D,R>,
36 27·RT2Cube2DLocalCoefficients·()·:·li(24)40 ·32·RT2Cube2DLocalCoefficients,
 41 33·RT2Cube2DLocalInterpolation<RT2Cube2DLocalBasis<D,R>·>·>·Traits;
37 ·28·{ 
38 ·29·for·(std::size_t·i·=·0;·i·<·4;·i++) 
39 ·30·{ 
40 ·31·li[3*i]·=·LocalKey(i,1,0); 
41 ·32·li[3*i·+·1]·=·LocalKey(i,1,1); 
42 ·33·li[3*i·+·2]·=·LocalKey(i,1,2); 
43 ·34·}42 ·34
 43 36·RT2Cube2DLocalFiniteElement·()
44 ·35 
45 ·36·for·(std::size_t·i=0;·i<12;·i++) 
46 ·37·{44 ·37·{}
 45 ·38
 46 44·RT2Cube2DLocalFiniteElement·(int·s)·:
 47 ·45·basis(s),
 48 ·46·interpolation(s)
 49 ·47·{}
 50 ·48
 51 49·const·typename·Traits::LocalBasisType&·localBasis·()·const
47 ·38·li[12·+·i]·=·LocalKey(0,0,i); 
48 ·39·} 
49 ·40·} 
50 ·41 
51 43·std::size_t·size·()·const 
52 ·44·{ 
53 ·45·return·24; 
54 ·46·} 
55 ·47 
56 49·const·LocalKey&·localKey·(std::size_t·i)·const 
57 ·50·{52 ·50·{
58 ·51·return·li[i];53 ·51·return·basis;
59 ·52·}54 ·52·}
60 ·5355 ·53
 56 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 57 ·55·{
 58 ·56·return·coefficients;
 59 ·57·}
 60 ·58
 61 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 62 ·60·{
 63 ·61·return·interpolation;
 64 ·62·}
 65 ·63
 66 65·unsigned·int·size·()·const
 67 ·66·{
 68 ·67·return·basis.size();
 69 ·68·}
 70 ·69
 71 70·static·constexpr·GeometryType·type·()
 72 ·71·{
 73 ·72·return·GeometryTypes::quadrilateral;
 74 ·73·}
 75 ·74
61 ·54·private:76 ·75·private:
62 ·55·std::vector<LocalKey>·li; 
63 ·56·}; 
64 ·57}77 ·76·RT2Cube2DLocalBasis<D,R>·basis;
 78 ·77·RT2Cube2DLocalCoefficients·coefficients;
 79 ·78·RT2Cube2DLocalInterpolation<RT2Cube2DLocalBasis<D,R>·>·interpolation;
 80 ·79·};
 81 ·80}
65 ·58#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALCOEFFICIENTS_HH82 ·81#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALFINITEELEMENT_HH
 83 raviartthomas2cube2dlocalinterpolation.hh
 84 raviartthomas2cube2dlocalcoefficients.hh
 85 raviartthomas2cube2dlocalbasis.hh
66 Dune86 Dune
67 Definition·bdfmcube.hh:1887 Definition·bdfmcube.hh:18
68 Dune::LocalKey 
69 Describe·position·of·one·degree·of·freedom. 
70 Definition·localkey.hh:2388 Dune::LocalFiniteElementTraits
 89 traits·helper·struct
 90 Definition·localfiniteelementtraits.hh:13
 91 Dune::LocalFiniteElementTraits::LocalBasisType
 92 LB·LocalBasisType
 93 Definition·localfiniteelementtraits.hh:16
 94 Dune::LocalFiniteElementTraits::LocalCoefficientsType
 95 LC·LocalCoefficientsType
 96 Definition·localfiniteelementtraits.hh:20
 97 Dune::LocalFiniteElementTraits::LocalInterpolationType
 98 LI·LocalInterpolationType
 99 Definition·localfiniteelementtraits.hh:24
 100 Dune::RT2Cube2DLocalFiniteElement
 101 Second·order·Raviart-Thomas·shape·functions·on·cubes.
 102 Definition·raviartthomas2cube2d.hh:27
 103 Dune::RT2Cube2DLocalFiniteElement::localBasis
 104 const·Traits::LocalBasisType·&·localBasis()·const
 105 Definition·raviartthomas2cube2d.hh:49
 106 Dune::RT2Cube2DLocalFiniteElement::Traits
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18 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-18 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
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21 LICENSE.md·in·module·root21 LICENSE.md·in·module·root
22 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception22 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
23 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALBASIS_HH23 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALINTERPOLATION_HH
24 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALBASIS_HH24 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALINTERPOLATION_HH
25 ·725 ·7
26 ·8#include·<numeric> 
27 ·9#include·<vector>26 ·8#include·<vector>
28 ·10 
29 ·11#include·<dune/common/fmatrix.hh>27 ·9
 28 ·10#include·<dune/geometry/quadraturerules.hh>
 29 ·11#include·<dune/localfunctions/common/localinterpolation.hh>
30 ·1230 ·12
31 ·13#include·"../../common/localbasis.hh" 
32 ·14 
33 ·15namespace·Dune31 ·13namespace·Dune
34 ·16{32 ·14{
35 ·26·template<class·D,·class·R>33 ·15
 34 ·24·template<class·LB>
36 27·class·RT2Cube2DLocalBasis35 25·class·RT2Cube2DLocalInterpolation
37 ·28·{36 ·26·{
 37 ·27
 38 ·28·public:
38 ·2939 ·29
 40 35·RT2Cube2DLocalInterpolation·(std::bitset<4>·s·=·0)
39 ·30·public: 
40 ·31·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune:: 
41 FieldVector<R,2>, 
42 32·Dune::FieldMatrix<R,2,2>·>·Traits; 
43 ·33 
44 39·RT2Cube2DLocalBasis·(unsigned·int·s·=·0) 
45 ·40·{ 
46 ·41·sign0·=·sign1·=·sign2·=·sign3·=·1.0; 
47 ·42·if·(s·&·1) 
48 ·43·{41 ·36·{
49 ·44·sign0·=·-1.0;42 ·37·for·(size_t·i=0;·i<4;·i++)
 43 ·38·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
 44 ·39
 45 ·40·n_[0]·=·{-1.0,·0.0};
 46 ·41·n_[1]·=·{·1.0,·0.0};
 47 ·42·n_[2]·=·{·0.0,·-1.0};
 48 ·43·n_[3]·=·{·0.0,·1.0};
50 ·45·}49 ·44·}
 50 ·45
 51 ·54·template<typename·F,·typename·C>
 52 55·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
51 ·46·if·(s·&·2) 
52 ·47·{ 
53 ·48·sign1·=·-1.0; 
54 ·49·} 
55 ·50·if·(s·&·4) 
56 ·51·{53 ·56·{
 54 ·57·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 55 ·58·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 56 ·59·typedef·typename·LB::Traits::DomainFieldType·Vector;
 57 ·60
 58 ·61·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 59 DomainType>(ff);
57 ·52·sign2·=·-1.0; 
58 ·53·} 
59 ·54·if·(s·&·8) 
60 ·55·{ 
61 ·56·sign3·=·-1.0; 
62 ·57·} 
63 ·58·} 
64 ·59 
65 61·unsigned·int·size·()·const 
66 ·62·{60 ·62
67 ·63·return·24; 
68 ·64·}61 ·63·out.resize(24);
 62 ·64·fill(out.begin(),·out.end(),·0.0);
69 ·6563 ·65
 64 ·66·const·int·qOrder·=·6;
 65 ·67·const·auto&·rule1·=·QuadratureRules<Scalar,1>::rule(GeometryTypes::cube(1),
 66 qOrder);
70 72·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
71 ·73·std::vector<typename·Traits::RangeType>&·out)·const 
72 ·74·{ 
73 ·75·out.resize(24); 
74 ·76 
75 ·77·out[0][0]·=·sign0*(-1.0·+·9.0*in[0]·-·18.0*in[0]*in[0]·+·10.0*in[0]*in 
76 [0]*in[0]); 
77 ·78·out[0][1]·=·0.0; 
78 ·79·out[1][0]·=·3.0·-·27.0*in[0]·-·6.0*in[1]·+·54.0*in[0]*in[1]·+·54.0*in[0]*in 
79 [0]·-·108.0*in[0]*in[0]*in[1]·-·30.0*in[0]*in[0]*in[0]·+·60.0*in[0]*in[0]*in 
80 [0]*in[1]; 
81 ·80·out[1][1]·=·0.0; 
82 ·81·out[2][0]·=·sign0*(-5.0·+·45.0*in[0]·+·30.0*in[1]·-·270.0*in[0]*in[1]·- 
83 90.0*in[0]*in[0]·-·30.0*in[1]*in[1]·+·540.0*in[0]*in[0]*in[1]·+·270.0*in[0]*in 
84 [1]*in[1]·+·50.0*in[0]*in[0]*in[0]·-·540.0*in[0]*in[0]*in[1]*in[1]·-·300.0*in 
85 [0]*in[0]*in[0]*in[1]·+·300.0*in[0]*in[0]*in[0]*in[1]*in[1]); 
86 ·82·out[2][1]·=·0.0; 
87 ·83·out[3][0]·=·sign1*(3.0*in[0]·-·12.0*in[0]*in[0]·+·10.0*in[0]*in[0]*in[0]); 
88 ·84·out[3][1]·=·0.0; 
89 ·85·out[4][0]·=·9.0*in[0]·-·18.0*in[0]*in[1]·-·36.0*in[0]*in[0]·+·72.0*in[0]*in 
90 [0]*in[1]·+·30.0*in[0]*in[0]*in[0]·-·60.0*in[0]*in[0]*in[0]*in[1]; 
91 ·86·out[4][1]·=·0.0; 
92 ·87·out[5][0]·=·sign1*(15.0*in[0]·-·90.0*in[0]*in[1]·-·60.0*in[0]*in[0]·+ 
93 360.0*in[0]*in[0]*in[1]·+·90.0*in[0]*in[1]*in[1]·+·50.0*in[0]*in[0]*in[0]·- 
94 360.0*in[0]*in[0]*in[1]*in[1]·-·300.0*in[0]*in[0]*in[0]*in[1]·+·300.0*in[0]*in 
95 [0]*in[0]*in[1]*in[1]); 
96 ·88·out[5][1]·=·0.0; 
97 ·89·out[6][0]·=·0.0; 
98 ·90·out[6][1]·=·sign2*(-1.0·+·9.0*in[1]·-·18.0*in[1]*in[1]·+·10.0*in[1]*in 
99 [1]*in[1]); 
100 ·91·out[7][0]·=·0.0; 
101 ·92·out[7][1]·=·-3.0·+·6.0*in[0]·+·27.0*in[1]·-·54.0*in[0]*in[1]·-·54.0*in 
102 [1]*in[1]·+·108.0*in[0]*in[1]*in[1]·+·30.0*in[1]*in[1]*in[1]·-·60.0*in[0]*in 
103 [1]*in[1]*in[1]; 
104 ·93·out[8][0]·=·0.0; 
105 ·94·out[8][1]·=·sign2*(-5.0·+·30.0*in[0]·+·45.0*in[1]·-·270.0*in[0]*in[1]·- 
106 30.0*in[0]*in[0]·-·90.0*in[1]*in[1]·+·270.0*in[0]*in[0]*in[1]·+·540.0*in[0]*in 
107 [1]*in[1]·+·50.0*in[1]*in[1]*in[1]·-·540.0*in[0]*in[0]*in[1]*in[1]·-·300.0*in 
108 [0]*in[1]*in[1]*in[1]·+·300.0*in[1]*in[1]*in[1]*in[0]*in[0]); 
109 ·95·out[9][0]·=·0.0; 
110 ·96·out[9][1]·=·sign3*(3.0*in[1]·-·12.0*in[1]*in[1]·+·10.0*in[1]*in[1]*in[1]); 
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14 ····*·raviartthomas2cube2d14 ····*·raviartthomas2cube2d
15 Classes·|·Namespaces15 Classes·|·Namespaces
16 raviartthomas2cube2dlocalinterpolation.hh·File·Reference16 raviartthomas2cube2dlocalcoefficients.hh·File·Reference
 17 #include·<cstddef>
17 #include·<vector>18 #include·<vector>
 19 #include·"../../common/localkey.hh"
18 #include·<dune/geometry/quadraturerules.hh> 
19 #include·<dune/localfunctions/common/localinterpolation.hh> 
20 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
21 ·Classes21 ·Classes
 22 class· Dune::RT2Cube2DLocalCoefficients
 23  ······Layout·map·for·Raviart-Thomas-2·elements·on·quadrilaterals.·More...
22 class· Dune::RT2Cube2DLocalInterpolation<_LB_> 
23  ······Second·order·Raviart-Thomas·shape·functions·on·the·reference·triangle. 
24 ········More... 
25  24  
26 ·Namespaces25 ·Namespaces
27 namespace· Dune26 namespace· Dune
28  27  
  
29 ===============================================================================28 ===============================================================================
30 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·raviartthomas2cube2dlocalinterpolation.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas2cube2dlocalcoefficients.hh·Source·File</title>
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16 raviartthomas2cube2dlocalinterpolation.hh16 raviartthomas2cube2dlocalcoefficients.hh
17 Go_to_the_documentation_of_this_file.17 Go_to_the_documentation_of_this_file.
18 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-18 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
19 ·2//·vi:·set·et·ts=4·sw=2·sts=2:19 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
20 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file20 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
21 LICENSE.md·in·module·root21 LICENSE.md·in·module·root
22 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception22 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
23 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALINTERPOLATION_HH23 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALCOEFFICIENTS_HH
24 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALINTERPOLATION_HH24 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALCOEFFICIENTS_HH
25 ·725 ·7
 26 ·8#include·<cstddef>
26 ·8#include·<vector>27 ·9#include·<vector>
 28 ·10
 29 ·11#include·"../../common/localkey.hh"
27 ·9 
28 ·10#include·<dune/geometry/quadraturerules.hh> 
29 ·11#include·<dune/localfunctions/common/localinterpolation.hh> 
30 ·1230 ·12
31 ·13namespace·Dune31 ·13namespace·Dune
32 ·14{32 ·14{
 33 22·class·RT2Cube2DLocalCoefficients
33 ·15 
34 ·24·template<class·LB> 
35 25·class·RT2Cube2DLocalInterpolation 
36 ·26·{34 ·23·{
37 ·2735 ·24
38 ·28·public:36 ·25·public:
39 ·29 
40 35·RT2Cube2DLocalInterpolation·(std::bitset<4>·s·=·0)37 27·RT2Cube2DLocalCoefficients·()·:·li(24)
 38 ·28·{
 39 ·29·for·(std::size_t·i·=·0;·i·<·4;·i++)
41 ·36·{40 ·30·{
 41 ·31·li[3*i]·=·LocalKey(i,1,0);
 42 ·32·li[3*i·+·1]·=·LocalKey(i,1,1);
 43 ·33·li[3*i·+·2]·=·LocalKey(i,1,2);
 44 ·34·}
 45 ·35
42 ·37·for·(size_t·i=0;·i<4;·i++)46 ·36·for·(std::size_t·i=0;·i<12;·i++)
43 ·38·sign_[i]·=·(s[i])·?·-1.0·:·1.0; 
44 ·39 
45 ·40·n_[0]·=·{-1.0,·0.0}; 
46 ·41·n_[1]·=·{·1.0,·0.0}; 
47 ·42·n_[2]·=·{·0.0,·-1.0}; 
48 ·43·n_[3]·=·{·0.0,·1.0}; 
49 ·44·} 
50 ·45 
51 ·54·template<typename·F,·typename·C> 
52 55·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
53 ·56·{ 
54 ·57·//·f·gives·v*outer·normal·at·a·point·on·the·edge! 
55 ·58·typedef·typename·LB::Traits::RangeFieldType·Scalar; 
56 ·59·typedef·typename·LB::Traits::DomainFieldType·Vector; 
57 ·60 
58 ·61·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
59 DomainType>(ff); 
60 ·62 
61 ·63·out.resize(24); 
62 ·64·fill(out.begin(),·out.end(),·0.0); 
63 ·65 
64 ·66·const·int·qOrder·=·6; 
65 ·67·const·auto&·rule1·=·QuadratureRules<Scalar,1>::rule(GeometryTypes::cube(1), 
66 qOrder); 
67 ·68 
68 ·69·for·(auto&&·qp·:·rule1) 
69 ·70·{47 ·37·{
 48 ·38·li[12·+·i]·=·LocalKey(0,0,i);
70 ·71·Scalar·qPos·=·qp.position(); 
71 ·72·typename·LB::Traits::DomainType·localPos; 
72 ·73 
73 ·74·localPos·=·{0.0,·qPos}; 
74 ·75·auto·y·=·f(localPos); 
75 ·76·out[0]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*qp.weight()*sign_[0]; 
76 ·77·out[1]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*(2.0*qPos·-·1.0)*qp.weight(); 
77 ·78·out[2]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*(6.0*qPos*qPos·-·6.0*qPos·+ 
78 1.0)*qp.weight()*sign_[0]; 
79 ·79 
80 ·80·localPos·=·{1.0,·qPos}; 
81 ·81·y·=·f(localPos); 
82 ·82·out[3]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*qp.weight()*sign_[1]; 
83 ·83·out[4]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*(1.0·-·2.0*qPos)*qp.weight(); 
84 ·84·out[5]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*(6.0*qPos*qPos·-·6.0*qPos·+ 
85 1.0)*qp.weight()*sign_[1]; 
86 ·85 
87 ·86·localPos·=·{qPos,·0.0}; 
88 ·87·y·=·f(localPos); 
89 ·88·out[6]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*qp.weight()*sign_[2]; 
90 ·89·out[7]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*(1.0·-·2.0*qPos)*qp.weight(); 
91 ·90·out[8]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*(6.0*qPos*qPos·-·6.0*qPos·+ 
92 1.0)*qp.weight()*sign_[2]; 
93 ·91 
94 ·92·localPos·=·{qPos,·1.0}; 
95 ·93·y·=·f(localPos); 
96 ·94·out[9]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*qp.weight()*sign_[3]; 
97 ·95·out[10]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*(2.0*qPos·-·1.0)*qp.weight(); 
98 ·96·out[11]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*(6.0*qPos*qPos·-·6.0*qPos·+ 
99 1.0)*qp.weight()*sign_[3]; 
100 ·97·}49 ·39·}
 50 ·40·}
 51 ·41
 52 43·std::size_t·size·()·const
 53 ·44·{
 54 ·45·return·24;
 55 ·46·}
 56 ·47
 57 49·const·LocalKey&·localKey·(std::size_t·i)·const
 58 ·50·{
 59 ·51·return·li[i];
 60 ·52·}
 61 ·53
101 ·98 
102 ·99·const·auto&·rule2·=·QuadratureRules<Vector,2>::rule(GeometryTypes::cube(2), 
103 qOrder); 
104 ·100 
105 ·101·for·(auto&&·qp·:·rule2) 
106 ·102·{ 
107 ·103·FieldVector<double,2>·qPos·=·qp.position(); 
108 ·104 
109 ·105·auto·y·=·f(qPos); 
110 ·106·out[12]·+=·y[0]*qp.weight(); 
111 ·107·out[13]·+=·y[1]*qp.weight(); 
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11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
 13 ····*·raviartthomas2cube2d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 raviartthomas0prism.hh·File·Reference15 raviartthomas2cube2dlocalbasis.hh·File·Reference
 16 #include·<numeric>
 17 #include·<vector>
 18 #include·<dune/common/fmatrix.hh>
 19 #include·"../../common/localbasis.hh"
15 #include·<dune/geometry/type.hh> 
16 #include·"../common/localfiniteelementtraits.hh" 
17 #include·"raviartthomas0prism/raviartthomas0prismlocalbasis.hh" 
18 #include·"raviartthomas0prism/raviartthomas0prismlocalcoefficients.hh" 
19 #include·"raviartthomas0prism/raviartthomas0prismlocalinterpolation.hh" 
20 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
21 ·Classes21 ·Classes
22 class· Dune::RT0PrismLocalFiniteElement<_D,_R_>22 class· Dune::RT2Cube2DLocalBasis<_D,_R_>
23  ······First·order·Raviart-Thomas·shape·functions·on·prisms.·More...23  ······Second·order·Raviart-Thomas·shape·functions·on·the·reference
 24 ········quadrilateral.·More...
24  25  
25 ·Namespaces26 ·Namespaces
26 namespace· Dune27 namespace· Dune
27  28  
  
28 ===============================================================================29 ===============================================================================
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8 <title>dune-localfunctions:·raviartthomas0prism.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas2cube2dlocalbasis.hh·Source·File</title>
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13 ····*·raviartthomas13 ····*·raviartthomas
14 raviartthomas0prism.hh14 ····*·raviartthomas2cube2d
 15 raviartthomas2cube2dlocalbasis.hh
15 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALBASIS_HH
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALBASIS_HH
23 ·724 ·7
24 ·8#include·<dune/geometry/type.hh> 
25 ·9 
26 ·10#include·"../common/localfiniteelementtraits.hh" 
27 ·11#include·"raviartthomas0prism/raviartthomas0prismlocalbasis.hh" 
28 ·12#include·"raviartthomas0prism/raviartthomas0prismlocalcoefficients.hh" 
29 ·13#include·"raviartthomas0prism/raviartthomas0prismlocalinterpolation.hh"25 ·8#include·<numeric>
 26 ·9#include·<vector>
 27 ·10
 28 ·11#include·<dune/common/fmatrix.hh>
 29 ·12
 30 ·13#include·"../../common/localbasis.hh"
30 ·1431 ·14
31 ·15namespace·Dune32 ·15namespace·Dune
32 ·16{33 ·16{
33 ·25·template<class·D,·class·R>34 ·26·template<class·D,·class·R>
34 26·class·RT0PrismLocalFiniteElement35 27·class·RT2Cube2DLocalBasis
35 ·27·{36 ·28·{
36 ·2837 ·29
37 ·29·public:38 ·30·public:
38 ·30·typedef·LocalFiniteElementTraits< 
39 ·31·RT0PrismLocalBasis<D,R>, 
40 ·32·RT0PrismLocalCoefficients, 
41 33·RT0PrismLocalInterpolation<RT0PrismLocalBasis<D,R>·>·>·Traits; 
42 ·34 
43 ·35 
44 37·RT0PrismLocalFiniteElement·() 
45 ·38·{} 
46 ·39 
47 45·RT0PrismLocalFiniteElement·(int·s)·: 
48 ·46·basis(s), 
49 ·47·interpolation(s) 
50 ·48·{}39 ·31·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
 40 FieldVector<R,2>,
 41 32·Dune::FieldMatrix<R,2,2>·>·Traits;
 42 ·33
 43 39·RT2Cube2DLocalBasis·(unsigned·int·s·=·0)
 44 ·40·{
 45 ·41·sign0·=·sign1·=·sign2·=·sign3·=·1.0;
 46 ·42·if·(s·&·1)
 47 ·43·{
 48 ·44·sign0·=·-1.0;
 49 ·45·}
 50 ·46·if·(s·&·2)
 51 ·47·{
 52 ·48·sign1·=·-1.0;
51 ·4953 ·49·}
52 50·const·typename·Traits::LocalBasisType&·localBasis·()·const54 ·50·if·(s·&·4)
53 ·51·{55 ·51·{
54 ·52·return·basis;56 ·52·sign2·=·-1.0;
55 ·53·}57 ·53·}
 58 ·54·if·(s·&·8)
56 ·54 
57 55·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
58 ·56·{59 ·55·{
59 ·57·return·coefficients;60 ·56·sign3·=·-1.0;
 61 ·57·}
60 ·58·}62 ·58·}
61 ·5963 ·59
62 60·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
63 ·61·{ 
64 ·62·return·interpolation; 
65 ·63·} 
66 ·64 
67 66·unsigned·int·size·()·const64 61·unsigned·int·size·()·const
68 ·67·{65 ·62·{
69 ·68·return·basis.size();66 ·63·return·24;
70 ·69·}67 ·64·}
71 ·70 
72 71·static·constexpr·GeometryType·type·()68 ·65
 69 72·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 70 ·73·std::vector<typename·Traits::RangeType>&·out)·const
73 ·72·{71 ·74·{
74 ·73·return·GeometryTypes::prism; 
75 ·74·} 
76 ·7572 ·75·out.resize(24);
 73 ·76
 74 ·77·out[0][0]·=·sign0*(-1.0·+·9.0*in[0]·-·18.0*in[0]*in[0]·+·10.0*in[0]*in
 75 [0]*in[0]);
 76 ·78·out[0][1]·=·0.0;
 77 ·79·out[1][0]·=·3.0·-·27.0*in[0]·-·6.0*in[1]·+·54.0*in[0]*in[1]·+·54.0*in[0]*in
 78 [0]·-·108.0*in[0]*in[0]*in[1]·-·30.0*in[0]*in[0]*in[0]·+·60.0*in[0]*in[0]*in
 79 [0]*in[1];
 80 ·80·out[1][1]·=·0.0;
 81 ·81·out[2][0]·=·sign0*(-5.0·+·45.0*in[0]·+·30.0*in[1]·-·270.0*in[0]*in[1]·-
 82 90.0*in[0]*in[0]·-·30.0*in[1]*in[1]·+·540.0*in[0]*in[0]*in[1]·+·270.0*in[0]*in
 83 [1]*in[1]·+·50.0*in[0]*in[0]*in[0]·-·540.0*in[0]*in[0]*in[1]*in[1]·-·300.0*in
 84 [0]*in[0]*in[0]*in[1]·+·300.0*in[0]*in[0]*in[0]*in[1]*in[1]);
 85 ·82·out[2][1]·=·0.0;
 86 ·83·out[3][0]·=·sign1*(3.0*in[0]·-·12.0*in[0]*in[0]·+·10.0*in[0]*in[0]*in[0]);
 87 ·84·out[3][1]·=·0.0;
 88 ·85·out[4][0]·=·9.0*in[0]·-·18.0*in[0]*in[1]·-·36.0*in[0]*in[0]·+·72.0*in[0]*in
 89 [0]*in[1]·+·30.0*in[0]*in[0]*in[0]·-·60.0*in[0]*in[0]*in[0]*in[1];
 90 ·86·out[4][1]·=·0.0;
 91 ·87·out[5][0]·=·sign1*(15.0*in[0]·-·90.0*in[0]*in[1]·-·60.0*in[0]*in[0]·+
 92 360.0*in[0]*in[0]*in[1]·+·90.0*in[0]*in[1]*in[1]·+·50.0*in[0]*in[0]*in[0]·-
 93 360.0*in[0]*in[0]*in[1]*in[1]·-·300.0*in[0]*in[0]*in[0]*in[1]·+·300.0*in[0]*in
 94 [0]*in[0]*in[1]*in[1]);
 95 ·88·out[5][1]·=·0.0;
 96 ·89·out[6][0]·=·0.0;
 97 ·90·out[6][1]·=·sign2*(-1.0·+·9.0*in[1]·-·18.0*in[1]*in[1]·+·10.0*in[1]*in
 98 [1]*in[1]);
 99 ·91·out[7][0]·=·0.0;
 100 ·92·out[7][1]·=·-3.0·+·6.0*in[0]·+·27.0*in[1]·-·54.0*in[0]*in[1]·-·54.0*in
 101 [1]*in[1]·+·108.0*in[0]*in[1]*in[1]·+·30.0*in[1]*in[1]*in[1]·-·60.0*in[0]*in
 102 [1]*in[1]*in[1];
 103 ·93·out[8][0]·=·0.0;
 104 ·94·out[8][1]·=·sign2*(-5.0·+·30.0*in[0]·+·45.0*in[1]·-·270.0*in[0]*in[1]·-
 105 30.0*in[0]*in[0]·-·90.0*in[1]*in[1]·+·270.0*in[0]*in[0]*in[1]·+·540.0*in[0]*in
 106 [1]*in[1]·+·50.0*in[1]*in[1]*in[1]·-·540.0*in[0]*in[0]*in[1]*in[1]·-·300.0*in
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22 ·Classes22 ·Classes
23 class· Dune::RT02DLocalFiniteElement<_D,_R_>23 class· Dune::RT1Cube3DLocalFiniteElement<_D,_R_>
24  ······Zero·order·Raviart-Thomas·shape·functions·on·triangles.·More...24  ······First·order·Raviart-Thomas·shape·functions·on·cubes.·More...
25  25  
26 ·Namespaces26 ·Namespaces
27 namespace· Dune27 namespace· Dune
28  28  
  
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16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
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21 ·5#ifndef·DUNE_RAVIARTTHOMAS02DLOCALFINITEELEMENT_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALFINITEELEMENT_HH
22 ·6#define·DUNE_RAVIARTTHOMAS02DLOCALFINITEELEMENT_HH22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALFINITEELEMENT_HH
23 ·723 ·7
24 ·8#include·<dune/geometry/type.hh>24 ·8#include·<dune/geometry/type.hh>
25 ·925 ·9
26 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>26 ·10#include·"../common/localfiniteelementtraits.hh"
27 ·11#include·"raviartthomas02d/raviartthomas02dlocalbasis.hh"27 ·11#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalbasis.hh"
28 ·12#include·"raviartthomas02d/raviartthomas02dlocalcoefficients.hh"28 ·12#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalcoefficients.hh"
29 ·13#include·"raviartthomas02d/raviartthomas02dlocalinterpolation.hh"29 ·13#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalinterpolation.hh"
30 ·1430 ·14
31 ·15namespace·Dune31 ·15namespace·Dune
32 ·16{32 ·16{
33 ·17 
34 ·26·template<class·D,·class·R>33 ·25·template<class·D,·class·R>
 34 26·class·RT1Cube3DLocalFiniteElement
35 27·class 
36 ·28·RT02DLocalFiniteElement 
37 ·29·{35 ·27·{
 36 ·28
38 ·30·public:37 ·29·public:
39 ·31·typedef 
40 LocalFiniteElementTraits<RT02DLocalBasis<D,R>,RT02DLocalCoefficients,38 ·30·typedef·LocalFiniteElementTraits<
 39 ·31·RT1Cube3DLocalBasis<D,R>,
 40 ·32·RT1Cube3DLocalCoefficients,
41 32·RT02DLocalInterpolation<RT02DLocalBasis<D,R>·>·>·Traits;41 33·RT1Cube3DLocalInterpolation<RT1Cube3DLocalBasis<D,R>·>·>·Traits;
42 ·3342 ·34
43 35·RT02DLocalFiniteElement·()43 36·RT1Cube3DLocalFiniteElement·()
44 ·36·{}44 ·37·{}
45 ·37 
46 43·RT02DLocalFiniteElement·(std::bitset<3>·s)·:45 ·38
 46 44·RT1Cube3DLocalFiniteElement·(int·s)·:
47 ·44·basis(s),47 ·45·basis(s),
48 ·45·interpolation(s)48 ·46·interpolation(s)
49 ·46·{}49 ·47·{}
50 ·4750 ·48
51 48·const·typename·Traits::LocalBasisType&·localBasis·()·const51 49·const·typename·Traits::LocalBasisType&·localBasis·()·const
52 ·49·{52 ·50·{
53 ·50·return·basis;53 ·51·return·basis;
54 ·51·}54 ·52·}
55 ·5255 ·53
56 53·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const56 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
57 ·54·{57 ·55·{
58 ·55·return·coefficients;58 ·56·return·coefficients;
59 ·56·}59 ·57·}
60 ·5760 ·58
61 58·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const61 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
62 ·59·{62 ·60·{
63 ·60·return·interpolation;63 ·61·return·interpolation;
64 ·61·}64 ·62·}
65 ·6265 ·63
66 63·unsigned·int·size·()·const66 65·unsigned·int·size·()·const
67 ·64·{67 ·66·{
68 ·65·return·3;68 ·67·return·basis.size();
69 ·66·}69 ·68·}
70 ·6770 ·69
71 68·static·constexpr·GeometryType·type·()71 70·static·constexpr·GeometryType·type·()
72 ·69·{ 
73 ·70·return·GeometryTypes::triangle; 
74 ·71·}72 ·71·{
75 ·7273 ·72·return·GeometryTypes::hexahedron;
 74 ·73·}
 75 ·74
76 ·73·private:76 ·75·private:
77 ·74·RT02DLocalBasis<D,R>·basis;77 ·76·RT1Cube3DLocalBasis<D,R>·basis;
78 ·75·RT02DLocalCoefficients·coefficients;78 ·77·RT1Cube3DLocalCoefficients·coefficients;
79 ·76·RT02DLocalInterpolation<RT02DLocalBasis<D,R>·>·interpolation;79 ·78·RT1Cube3DLocalInterpolation<RT1Cube3DLocalBasis<D,R>·>·interpolation;
80 ·77·};80 ·79·};
81 ·78 
82 ·79} 
83 ·8081 ·80}
84 ·81#endif82 ·81#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALFINITEELEMENT_HH
85 raviartthomas02dlocalcoefficients.hh83 raviartthomas1cube3dlocalcoefficients.hh
 84 raviartthomas1cube3dlocalbasis.hh
86 raviartthomas02dlocalinterpolation.hh85 raviartthomas1cube3dlocalinterpolation.hh
87 raviartthomas02dlocalbasis.hh 
88 localfiniteelementtraits.hh 
89 Dune86 Dune
90 Definition·bdfmcube.hh:1887 Definition·bdfmcube.hh:18
91 Dune::LocalFiniteElementTraits88 Dune::LocalFiniteElementTraits
92 traits·helper·struct89 traits·helper·struct
93 Definition·localfiniteelementtraits.hh:1390 Definition·localfiniteelementtraits.hh:13
94 Dune::LocalFiniteElementTraits::LocalBasisType91 Dune::LocalFiniteElementTraits::LocalBasisType
95 LB·LocalBasisType92 LB·LocalBasisType
96 Definition·localfiniteelementtraits.hh:1693 Definition·localfiniteelementtraits.hh:16
97 Dune::LocalFiniteElementTraits::LocalCoefficientsType94 Dune::LocalFiniteElementTraits::LocalCoefficientsType
98 LC·LocalCoefficientsType95 LC·LocalCoefficientsType
99 Definition·localfiniteelementtraits.hh:2096 Definition·localfiniteelementtraits.hh:20
100 Dune::LocalFiniteElementTraits::LocalInterpolationType97 Dune::LocalFiniteElementTraits::LocalInterpolationType
101 LI·LocalInterpolationType98 LI·LocalInterpolationType
102 Definition·localfiniteelementtraits.hh:2499 Definition·localfiniteelementtraits.hh:24
103 Dune::RT02DLocalFiniteElement100 Dune::RT1Cube3DLocalFiniteElement
104 Zero·order·Raviart-Thomas·shape·functions·on·triangles.101 First·order·Raviart-Thomas·shape·functions·on·cubes.
105 Definition·raviartthomas02d.hh:29102 Definition·raviartthomas1cube3d.hh:27
106 Dune::RT02DLocalFiniteElement::RT02DLocalFiniteElement 
107 RT02DLocalFiniteElement() 
108 Standard·constructor. 
109 Definition·raviartthomas02d.hh:35 
110 Dune::RT02DLocalFiniteElement::Traits 
111 LocalFiniteElementTraits<·RT02DLocalBasis<·D,·R·>,·RT02DLocalCoefficients, 
112 RT02DLocalInterpolation<·RT02DLocalBasis<·D,·R·>·>·>·Traits 
113 Definition·raviartthomas02d.hh:32 
114 Dune::RT02DLocalFiniteElement::type 
115 static·constexpr·GeometryType·type() 
116 Definition·raviartthomas02d.hh:68 
117 Dune::RT02DLocalFiniteElement::localInterpolation103 Dune::RT1Cube3DLocalFiniteElement::localInterpolation
118 const·Traits::LocalInterpolationType·&·localInterpolation()·const104 const·Traits::LocalInterpolationType·&·localInterpolation()·const
119 Definition·raviartthomas02d.hh:58105 Definition·raviartthomas1cube3d.hh:59
120 Dune::RT02DLocalFiniteElement::localBasis 
121 const·Traits::LocalBasisType·&·localBasis()·const 
122 Definition·raviartthomas02d.hh:48 
123 Dune::RT02DLocalFiniteElement::RT02DLocalFiniteElement 
124 RT02DLocalFiniteElement(std::bitset<·3·>·s) 
125 Constructor·with·explicitly·given·edge·orientations. 
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13 ····*·raviartthomas02d13 ····*·raviartthomas0pyramid
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20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
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15 raviartthomas02dlocalcoefficients.hh15 raviartthomas0pyramidlocalcoefficients.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_RT0TRIANGLELOCALCOEFFICIENTS_HH 
23 ·6#define·DUNE_RT0TRIANGLELOCALCOEFFICIENTS_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALCOEFFICIENTS_HH
 23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALCOEFFICIENTS_HH
24 ·724 ·7
25 ·8#include·<cstddef>25 ·8#include·<cstddef>
26 ·9#include·<iostream> 
27 ·10#include·<vector>26 ·9#include·<vector>
28 ·11 
29 ·12#include·<dune/localfunctions/common/localkey.hh> 
30 ·1327 ·10
 28 ·11#include·"../../common/localkey.hh"
 29 ·12
31 ·14namespace·Dune30 ·13namespace·Dune
 31 ·14{
32 ·15{32 ·15
33 ·16 
34 23·class·RT02DLocalCoefficients33 23·class·RT0PyramidLocalCoefficients
35 ·24·{34 ·24·{
 35 ·25
36 ·25·public:36 ·26·public:
37 27·RT02DLocalCoefficients·()·:·li(3)37 28·RT0PyramidLocalCoefficients·()·:·li(size())
38 ·28·{38 ·29·{
39 ·29·for·(std::size_t·i=0;·i<3;·i++)39 ·30·for(int·i=0;·i<·size();·i++)
40 ·30·li[i]·=·LocalKey(i,1,0);40 ·31·li[i]·=·LocalKey(i,1,0);
41 ·31·}41 ·32·}
42 ·3242 ·33
43 34·std::size_t·size·()·const43 35·std::size_t·size·()·const
44 ·35·{44 ·36·{
45 ·36·return·3;45 ·37·return·5;
46 ·37·}46 ·38·}
47 ·3847 ·39
48 40·const·LocalKey&·localKey·(std::size_t·i)·const48 41·const·LocalKey&·localKey·(std::size_t·i)·const
49 ·41·{49 ·42·{
50 ·42·return·li[i];50 ·43·return·li[i];
51 ·43·}51 ·44·}
52 ·4452 ·45
53 ·45·private:53 ·46·private:
54 ·46·std::vector<LocalKey>·li;54 ·47·std::vector<LocalKey>·li;
55 ·47·};55 ·48·};
56 ·48 
57 ·49}56 ·49}
 57 ·50#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALCOEFFICIENTS_HH
58 ·50 
59 ·51#endif 
60 localkey.hh 
61 Dune58 Dune
62 Definition·bdfmcube.hh:1859 Definition·bdfmcube.hh:18
63 Dune::LocalKey60 Dune::LocalKey
64 Describe·position·of·one·degree·of·freedom.61 Describe·position·of·one·degree·of·freedom.
65 Definition·localkey.hh:2362 Definition·localkey.hh:23
66 Dune::RT02DLocalCoefficients63 Dune::RT0PyramidLocalCoefficients
67 Layout·map·for·RT0·elements.64 Layout·map·for·Raviart-Thomas-1·elements·on·pyramids.
68 Definition·raviartthomas02dlocalcoefficients.hh:2465 Definition·raviartthomas0pyramidlocalcoefficients.hh:24
69 Dune::RT02DLocalCoefficients::RT02DLocalCoefficients 
70 RT02DLocalCoefficients() 
71 Standard·constructor. 
72 Definition·raviartthomas02dlocalcoefficients.hh:27 
73 Dune::RT02DLocalCoefficients::localKey66 Dune::RT0PyramidLocalCoefficients::localKey
74 const·LocalKey·&·localKey(std::size_t·i)·const67 const·LocalKey·&·localKey(std::size_t·i)·const
75 get·i'th·index68 get·i'th·index
76 Definition·raviartthomas02dlocalcoefficients.hh:4069 Definition·raviartthomas0pyramidlocalcoefficients.hh:41
 70 Dune::RT0PyramidLocalCoefficients::RT0PyramidLocalCoefficients
 71 RT0PyramidLocalCoefficients()
 72 Standard·constructor.
 73 Definition·raviartthomas0pyramidlocalcoefficients.hh:28
77 Dune::RT02DLocalCoefficients::size74 Dune::RT0PyramidLocalCoefficients::size
78 std::size_t·size()·const75 std::size_t·size()·const
79 number·of·coefficients76 number·of·coefficients
80 Definition·raviartthomas02dlocalcoefficients.hh:3477 Definition·raviartthomas0pyramidlocalcoefficients.hh:35
  
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8 Loading...8 Loading...
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10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomas02d14 ····*·raviartthomas0pyramid
15 raviartthomas02dlocalinterpolation.hh15 raviartthomas0pyramidlocalbasis.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_RT02DLOCALINTERPOLATION_HH 
23 ·6#define·DUNE_RT02DLOCALINTERPOLATION_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALBASIS_HH
 23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALBASIS_HH
24 ·724 ·7
 25 ·8#include·<numeric>
25 ·8#include·<cmath> 
26 ·9#include·<array> 
27 ·10#include·<bitset> 
28 ·11#include·<vector>26 ·9#include·<vector>
29 ·12#include·<dune/localfunctions/common/localinterpolation.hh> 
30 ·1327 ·10
 28 ·11#include·<dune/common/fmatrix.hh>
 29 ·12
 30 ·13#include·"../../common/localbasis.hh"
 31 ·14
31 ·14namespace·Dune32 ·15namespace·Dune
32 ·15{33 ·16{
33 ·16·template<class·LB> 
34 17·class·RT02DLocalInterpolation34 ·26·template<class·D,·class·R>
 35 27·class·RT0PyramidLocalBasis
35 ·18·{36 ·28·{
 37 ·29
36 ·19·public:38 ·30·public:
37 ·20 
38 22·RT02DLocalInterpolation·(std::bitset<3>·s·=·0) 
39 ·23·{ 
40 ·24·using·std::sqrt;39 ·31·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune::
 40 FieldVector<R,3>,
 41 32·Dune::FieldMatrix<R,3,3>·>·Traits;
 42 ·33
 43 39·RT0PyramidLocalBasis·(std::bitset<5>·s·=·0)
 44 ·40·{
41 ·25·for·(std::size_t·i=0;·i<sign_.size();·i++)45 ·41·for·(size_t·i=0;·i<size();·i++)
42 ·26·sign_[i]·=·(s[i])·?·-1.0·:·1.0;46 ·42·sign[i]·=·s[i]·?·-1.0·:·1.0;
43 ·27 
44 ·28·m_[0]·=·{0.5,·0.0}; 
45 ·29·m_[1]·=·{0.0,·0.5}; 
46 ·30·m_[2]·=·{0.5,·0.5}; 
47 ·31·n_[0]·=·{0.0,·-1.0}; 
48 ·32·n_[1]·=·{-1.0,·0.0}; 
49 ·33·n_[2]·=·{1.0/sqrt(2.0),·1.0/sqrt(2.0)}; 
50 ·34·c_[0]·=·(·0.5*n_[0][0]·-·1.0*n_[0][1]); 
51 ·35·c_[1]·=·(-1.0*n_[1][0]·+·0.5*n_[1][1]); 
52 ·36·c_[2]·=·(·0.5*n_[2][0]·+·0.5*n_[2][1]); 
53 ·37·}47 ·43·}
54 ·38 
55 ·39·template<typename·F,·typename·C> 
56 40·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
57 ·41·{ 
58 ·42·//·f·gives·v*outer·normal·at·a·point·on·the·edge! 
59 ·43·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
60 DomainType>(ff); 
61 ·4448 ·44
 49 46·unsigned·int·size·()·const
 50 ·47·{
 51 ·48·return·5;
 52 ·49·}
 53 ·50
 54 57·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 55 ·58·std::vector<typename·Traits::RangeType>&·out)·const
 56 ·59·{
62 ·45·out.resize(3);57 ·60·out.resize(5);
63 ·46 
64 ·47·for·(int·i=0;·i<3;·i++)58 ·61·for·(std::size_t·i=0;·i<out.size();·i++)
 59 ·62·out[i]·=·{0.0,0.0,0.0};
 60 ·63
 61 ·64·out[0][0]·=·1.5*in[0];
 62 ·65·out[0][1]·=·1.5*in[1];
 63 ·66·out[0][2]·=·-1.0;
 64 ·67
 65 ·68·out[1][0]·=·-2.0·+·3.0*in[0];
 66 ·69
 67 ·70·out[2][0]·=·3.0*in[0];
 68 ·71
 69 ·72·out[3][1]·=·-2.0·+·3.0*in[1];
 70 ·73
 71 ·74·out[4][1]·=·3.0*in[1];
 72 ·75
 73 ·76·for·(std::size_t·i=0;·i<out.size();·i++)
 74 ·77·out[i]·*=·sign[i];
 75 ·78
 76 ·79·}
 77 ·80
 78 87·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,
 79 ·88·std::vector<typename·Traits::JacobianType>&·out)·const
65 ·48·{80 ·89·{
66 ·49·auto·y·=·f(m_[i]); 
67 ·50·out[i]·=·(y[0]*n_[i][0]+y[1]*n_[i][1])*sign_[i]/c_[i]; 
68 ·51·} 
69 ·52·} 
70 ·5381 ·90·out.resize(5);
 82 ·91
 83 ·92·for(int·i=0;·i<size();·i++)
 84 ·93·for(int·j=0;·j<3;·j++)
 85 ·94·out[i][j]·=·{0.0,·0.0,·0.0};
 86 ·95
 87 ·96·out[0][0][0]·=·sign[0]*(1.5);
 88 ·97·out[0][1][1]·=·sign[0]*(1.5);
 89 ·98
 90 ·99·out[1][0][0]·=·sign[1]*(3.0);
 91 ·100
 92 ·101·out[2][0][0]·=·sign[2]*(3.0);
 93 ·102
 94 ·103·out[3][1][1]·=·sign[3]*(3.0);
 95 ·104
 96 ·105·out[4][1][1]·=·sign[4]*(3.0);
 97 ·106·}
 98 ·107
 99 109·void·partial·(const·std::array<unsigned·int,·3>&·order,
 100 ·110·const·typename·Traits::DomainType&·in,·//·position
 101 ·111·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value
 102 ·112·{
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas02d13 ····*·raviartthomas0pyramid
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas02dlocalbasis.hh·File·Reference15 raviartthomas0pyramidlocalinterpolation.hh·File·Reference
 16 #include·<vector>
16 #include·<numeric> 
17 #include·<dune/common/fmatrix.hh> 
18 #include·<dune/localfunctions/common/localbasis.hh>17 #include·<dune/localfunctions/common/localinterpolation.hh>
19 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
20 ·Classes19 ·Classes
21 class· Dune::RT02DLocalBasis<_D,_R_>20 class· Dune::RT0PyramidLocalInterpolation<_LB_>
22  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference·triangle.21  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·hexahedron.
23 ········More...22 ········More...
24  23  
25 ·Namespaces24 ·Namespaces
26 namespace· Dune25 namespace· Dune
27  26  
  
28 ===============================================================================27 ===============================================================================
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8 Loading...8 Loading...
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10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomas02d14 ····*·raviartthomas0pyramid
15 raviartthomas02dlocalbasis.hh15 raviartthomas0pyramidlocalinterpolation.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_RT0TRIANGLELOCALBASIS_HH 
23 ·6#define·DUNE_RT0TRIANGLELOCALBASIS_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALINTERPOLATION_HH
 23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALINTERPOLATION_HH
24 ·724 ·7
25 ·8#include·<numeric>25 ·8#include·<vector>
26 ·926 ·9
27 ·10#include·<dune/common/fmatrix.hh>27 ·10#include·<dune/localfunctions/common/localinterpolation.hh>
28 ·1128 ·11
29 ·12#include·<dune/localfunctions/common/localbasis.hh> 
30 ·13 
31 ·14namespace·Dune29 ·12namespace·Dune
32 ·15{30 ·13{
33 ·24·template<class·D,·class·R> 
34 25·class·RT02DLocalBasis31 ·22·template<class·LB>
 32 23·class·RT0PyramidLocalInterpolation
35 ·26·{33 ·24·{
 34 ·25
36 ·27·public:35 ·26·public:
 36 ·27
 37 33·RT0PyramidLocalInterpolation·(std::bitset<5>·s·=·0)
37 ·28·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune:: 
38 FieldVector<R,2>, 
39 29·Dune::FieldMatrix<R,2,2>·>·Traits; 
40 ·30 
41 32·RT02DLocalBasis·(std::bitset<3>·s·=·0) 
42 ·33·{38 ·34·{
 39 ·35·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 40 ·36
43 ·34·for·(int·i=0;·i<3;·i++)41 ·37·for·(size_t·i=0;·i<5;·i++)
44 ·35·sign_[i]·=·s[i]·?·-1.0·:·1.0;42 ·38·sign[i]·=·(s[i])·?·-1.0·:·1.0;
 43 ·39
 44 ·40·Scalar·r·=·1/std::sqrt(2);
 45 ·41
 46 ·42·n[0]·=·{·0.0,·0.0,·-1.0};
 47 ·43·n[1]·=·{-1.0,·0.0,·0.0};
 48 ·44·n[2]·=·{·r,·0.0,·r};
 49 ·45·n[3]·=·{·0.0,·-1.0,·0.0};
 50 ·46·n[4]·=·{·0.0,·r,·r};
45 ·36·} 
46 ·37 
47 39·unsigned·int·size·()·const 
48 ·40·{ 
49 ·41·return·3; 
50 ·42·} 
51 ·43 
52 45·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
53 ·46·std::vector<typename·Traits::RangeType>&·out)·const 
54 ·47·{51 ·47
55 ·48·out.resize(3); 
56 ·49·out[0]·=·{sign_[0]*in[0],·sign_[0]*(in[1]-D(1))}; 
57 ·50·out[1]·=·{sign_[1]*(in[0]-D(1)),·sign_[1]*in[1]}; 
58 ·51·out[2]·=·{sign_[2]*in[0],·sign_[2]*in[1]}; 
59 ·52·}52 ·48·c[0]·=·1.0;
 53 ·49·c[1]·=·1/2.0;
 54 ·50·c[2]·=·1/2.0·*·std::sqrt(2);
 55 ·51·c[3]·=·1/2.0;
 56 ·52·c[4]·=·1/2.0·*·std::sqrt(2);
60 ·5357 ·53
 58 ·54·m[0]·=·{·0.5,·0.5,·0.0};
 59 ·55·m[1]·=·{·0.0,·1/3.0,·1/3.0};
 60 ·56·m[2]·=·{·2/3.0,·1/3.0,·1/3.0};
 61 ·57·m[3]·=·{·1/3.0,·0.0,·1/3.0};
 62 ·58·m[4]·=·{·1/3.0,·2/3.0,·1/3.0};
61 ·55·inline·void 
62 56·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position 
63 ·57·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value 
64 ·58·{ 
65 ·59·out.resize(3); 
66 ·60·for·(int·i=0;·i<3;·i++) 
67 ·61·{ 
68 ·62·out[i][0]·=·{sign_[i],·0}; 
69 ·63·out[i][1]·=·{·0,·sign_[i]}; 
70 ·64·} 
71 ·65·}63 ·59·}
 64 ·60
 65 ·69·template<class·F,·class·C>
 66 70·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
72 ·66 
73 68·void·partial·(const·std::array<unsigned·int,·2>&·order, 
74 ·69·const·typename·Traits::DomainType&·in,·//·position 
75 ·70·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value 
76 ·71·{67 ·71·{
 68 ·72·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 69 DomainType>(ff);
 70 ·73
77 ·72·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0); 
78 ·73·if·(totalOrder·==·0)·{ 
79 ·74·evaluateFunction(in,·out); 
80 ·75·}·else·if·(totalOrder·==·1)·{ 
81 ·76·auto·const·direction·=·std::distance(order.begin(),·std::find(order.begin 
82 (),·order.end(),·1)); 
83 ·77·out.resize(size());71 ·74·out.resize(5);
 72 ·75·for(int·i=0;·i<5;·i++)
 73 ·76·out[i]·=·f(m[i]).dot(n[i])·*·c[i]·*·sign[i];
 74 ·77·}
84 ·7875 ·78
85 ·79·for·(int·i=0;·i<3;·i++) 
86 ·80·{ 
87 ·81·out[i][direction]·=·sign_[i]; 
88 ·82·out[i][1-direction]·=·0; 
89 ·83·} 
90 ·84·}·else·{ 
91 ·85·out.resize(size()); 
92 ·86·for·(std::size_t·i·=·0;·i·<·size();·++i) 
93 ·87·for·(std::size_t·j·=·0;·j·<·2;·++j) 
94 ·88·out[i][j]·=·0; 
95 ·89·} 
96 ·90 
97 ·91·} 
98 ·92 
99 94·unsigned·int·order·()·const 
100 ·95·{ 
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11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
 13 ····*·raviartthomas4cube2d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 raviartthomas0pyramid.hh·File·Reference15 raviartthomas4cube2dlocalbasis.hh·File·Reference
15 #include·<dune/geometry/type.hh> 
16 #include·"../common/localfiniteelementtraits.hh" 
17 #include·"raviartthomas0pyramid/raviartthomas0pyramidlocalbasis.hh" 
18 #include·"raviartthomas0pyramid/raviartthomas0pyramidlocalcoefficients.hh" 
19 #include·"raviartthomas0pyramid/raviartthomas0pyramidlocalinterpolation.hh"16 #include·<bitset>
 17 #include·<numeric>
 18 #include·<vector>
 19 #include·<dune/common/fmatrix.hh>
 20 #include·"../../common/localbasis.hh"
20 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
21 ·Classes22 ·Classes
22 class· Dune::RT0PyramidLocalFiniteElement<_D,_R_> 
23  ······First·order·Raviart-Thomas·shape·functions·on·pyramids.·More...23 class· Dune::RT4Cube2DLocalBasis<_D,_R_>
 24  ······Second·order·Raviart-Thomas·shape·functions·on·the·reference
 25 ········quadrilateral.·More...
24  26  
25 ·Namespaces27 ·Namespaces
26 namespace· Dune28 namespace· Dune
27  29  
  
28 ===============================================================================30 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.831 ·····Generated·by [doxygen]·1.9.8
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12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 raviartthomas0pyramid.hh14 ····*·raviartthomas4cube2d
 15 raviartthomas4cube2dlocalbasis.hh
15 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALBASIS_HH
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALBASIS_HH
23 ·724 ·7
24 ·8#include·<dune/geometry/type.hh> 
25 ·9 
26 ·10#include·"../common/localfiniteelementtraits.hh" 
27 ·11#include·"raviartthomas0pyramid/raviartthomas0pyramidlocalbasis.hh" 
28 ·12#include·"raviartthomas0pyramid/raviartthomas0pyramidlocalcoefficients.hh" 
29 ·13#include·"raviartthomas0pyramid/raviartthomas0pyramidlocalinterpolation.hh" 
30 ·1425 ·8#include·<bitset>
 26 ·9#include·<numeric>
 27 ·10#include·<vector>
 28 ·11
 29 ·12#include·<dune/common/fmatrix.hh>
 30 ·13
 31 ·14#include·"../../common/localbasis.hh"
 32 ·15
31 ·15namespace·Dune33 ·16namespace·Dune
32 ·16{34 ·17{
33 ·25·template<class·D,·class·R>35 ·27·template<class·D,·class·R>
34 26·class·RT0PyramidLocalFiniteElement36 28·class·RT4Cube2DLocalBasis
35 ·27·{37 ·29·{
36 ·2838 ·30
37 ·29·public:39 ·31·public:
 40 ·32·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
 41 FieldVector<R,2>,
 42 33·Dune::FieldMatrix<R,2,2>·>·Traits;
38 ·30·typedef·LocalFiniteElementTraits< 
39 ·31·RT0PyramidLocalBasis<D,R>, 
40 ·32·RT0PyramidLocalCoefficients, 
41 33·RT0PyramidLocalInterpolation<RT0PyramidLocalBasis<D,R>·>·>·Traits; 
42 ·3443 ·34
43 36·RT0PyramidLocalFiniteElement·() 
44 ·37·{} 
45 ·38 
46 44·RT0PyramidLocalFiniteElement·(int·s)·: 
47 ·45·basis(s), 
48 ·46·interpolation(s) 
49 ·47·{} 
50 ·48 
51 49·const·typename·Traits::LocalBasisType&·localBasis·()·const44 40·RT4Cube2DLocalBasis·(std::bitset<4>·s·=·0)
 45 ·41·{
 46 ·42·sign0·=·(s[0])·?·-1.0·:·1.0;
 47 ·43·sign1·=·(s[1])·?·-1.0·:·1.0;
 48 ·44·sign2·=·(s[2])·?·-1.0·:·1.0;
 49 ·45·sign3·=·(s[3])·?·-1.0·:·1.0;
 50 ·46·}
 51 ·47
 52 49·unsigned·int·size·()·const
52 ·50·{53 ·50·{
53 ·51·return·basis;54 ·51·return·60;
54 ·52·}55 ·52·}
Diff chunk too large, falling back to line-by-line diff (731 lines added, 30 lines removed)
55 ·5356 ·53
56 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const57 60·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
57 ·55·{58 ·61·std::vector<typename·Traits::RangeType>&·out)·const
58 ·56·return·coefficients;59 ·62·{
59 ·57·}60 ·63·out.resize(60);
60 ·5861 ·64
61 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const62 ·65·auto·const&·x·=·in[0],·y·=·in[1];
62 ·60·{63 ·66
63 ·61·return·interpolation;64 ·67·const·auto·l1_x·=·2*x·-·1;
64 ·62·}65 ·68·const·auto·l2_x·=·x*(6*x·-·6)·+·1;
65 ·6366 ·69·const·auto·l3_x·=·x*(x*(20*x·-·30)·+·12)·-·1;
66 65·unsigned·int·size·()·const67 ·70·const·auto·l4_x·=·x*(x*(x*(70*x·-·140)·+·90)·-·20)·+·1;
67 ·66·{68 ·71·const·auto·l5_x·=·x*(x*(x*(x*(252*x·-·630)·+·560)·-·210)·+·30)·-·1;
68 ·67·return·basis.size();69 ·72·const·auto·l1_y·=·2*y·-·1;
69 ·68·}70 ·73·const·auto·l2_y·=·y*(6*y·-·6)·+·1;
70 ·6971 ·74·const·auto·l3_y·=·y*(y*(20*y·-·30)·+·12)·-·1;
71 70·static·constexpr·GeometryType·type·()72 ·75·const·auto·l4_y·=·y*(y*(y*(70*y·-·140)·+·90)·-·20)·+·1;
72 ·71·{73 ·76·const·auto·l5_y·=·y*(y*(y*(y*(252*y·-·630)·+·560)·-·210)·+·30)·-·1;
73 ·72·return·GeometryTypes::pyramid;74 ·77
74 ·73·}75 ·78·out[0][0]=sign0*(0.5*(-l4_x)+0.5*l5_x);
75 ·7476 ·79·out[0][1]=0.0;
76 ·75·private:77 ·80·out[1][0]=-(1.5)*l4_x*l1_y+1.5*l5_x*l1_y;
77 ·76·RT0PyramidLocalBasis<D,R>·basis;78 ·81·out[1][1]=0.0;
78 ·77·RT0PyramidLocalCoefficients·coefficients;79 ·82·out[2][0]=sign0*(-(2.5)*l4_x*l2_y+2.5*l5_x*l2_y);
79 ·78·RT0PyramidLocalInterpolation<RT0PyramidLocalBasis<D,R>·>·interpolation;80 ·83·out[2][1]=0.0;
80 ·79·};81 ·84·out[3][0]=-(3.5)*l4_x*l3_y+3.5*l5_x*l3_y;
81 ·80}82 ·85·out[3][1]=0.0;
82 ·81#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_HH83 ·86·out[4][0]=sign0*(-(4.5)*l4_x*l4_y+4.5*l5_x*l4_y);
83 raviartthomas0pyramidlocalcoefficients.hh84 ·87·out[4][1]=0.0;
84 raviartthomas0pyramidlocalbasis.hh85 ·88
85 raviartthomas0pyramidlocalinterpolation.hh86 ·89·out[5][0]=sign1*(0.5*l4_x+0.5*l5_x);
 87 ·90·out[5][1]=0.0;
 88 ·91·out[6][0]=-(1.5)*l4_x*l1_y-1.5*l5_x*l1_y;
 89 ·92·out[6][1]=0.0;
 90 ·93·out[7][0]=sign1*(2.5*l4_x*l2_y+2.5*l5_x*l2_y);
 91 ·94·out[7][1]=0.0;
 92 ·95·out[8][0]=-(3.5)*l4_x*l3_y-3.5*l5_x*l3_y;
 93 ·96·out[8][1]=0.0;
 94 ·97·out[9][0]=sign1*(4.5*l4_x*l4_y+4.5*l5_x*l4_y);
 95 ·98·out[9][1]=0.0;
 96 ·99
 97 ·100·out[10][0]=0.0;
 98 ·101·out[10][1]=sign2*(0.5*(-l4_y)+0.5*l5_y);
 99 ·102·out[11][0]=0.0;
 100 ·103·out[11][1]=1.5*l1_x*l4_y-1.5*l1_x*l5_y;
 101 ·104·out[12][0]=0.0;
 102 ·105·out[12][1]=sign2*(-(2.5)*l2_x*l4_y+2.5*l2_x*l5_y);
 103 ·106·out[13][0]=0.0;
 104 ·107·out[13][1]=3.5*l3_x*l4_y-3.5*l3_x*l5_y;
 105 ·108·out[14][0]=0.0;
 106 ·109·out[14][1]=sign2*(-(4.5)*l4_x*l4_y+4.5*l4_x*l5_y);
 107 ·110
 108 ·111·out[15][0]=0.0;
 109 ·112·out[15][1]=sign3*(0.5*l4_y+0.5*l5_y);
 110 ·113·out[16][0]=0.0;
 111 ·114·out[16][1]=1.5*l1_x*l4_y+1.5*l1_x*l5_y;
 112 ·115·out[17][0]=0.0;
 113 ·116·out[17][1]=sign3*(2.5*l2_x*l4_y+2.5*l2_x*l5_y);
 114 ·117·out[18][0]=0.0;
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17 #include·<dune/geometry/quadraturerules.hh> 
18 #include·<dune/localfunctions/common/localinterpolation.hh> 
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 21 class· Dune::RT4Cube2DLocalCoefficients
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21 class· Dune::RT1Cube2DLocalInterpolation<_LB_> 
22  ······First·order·Raviart-Thomas·shape·functions·on·the·reference 
23 ········quadrilateral.·More... 
24  23  
25 ·Namespaces24 ·Namespaces
26 namespace· Dune25 namespace· Dune
27  26  
  
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20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALINTERPOLATION_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALCOEFFICIENTS_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALINTERPOLATION_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALCOEFFICIENTS_HH
24 ·724 ·7
 25 ·8#include·<cstddef>
25 ·8#include·<vector>26 ·9#include·<vector>
 27 ·10
 28 ·11#include·"../../common/localkey.hh"
26 ·9 
27 ·10#include·<dune/geometry/quadraturerules.hh> 
28 ·11#include·<dune/localfunctions/common/localinterpolation.hh> 
29 ·1229 ·12
30 ·13 
31 ·14namespace·Dune30 ·13namespace·Dune
32 ·15{31 ·14{
 32 22·class·RT4Cube2DLocalCoefficients
33 ·16 
34 ·25·template<class·LB> 
35 26·class·RT1Cube2DLocalInterpolation 
36 ·27·{33 ·23·{
37 ·2834 ·24
38 ·29·public:35 ·25·public:
39 35·RT1Cube2DLocalInterpolation·(std::bitset<4>·s·=·0)36 27·RT4Cube2DLocalCoefficients·()·:·li(60)
 37 ·28·{
 38 ·29·for·(std::size_t·i·=·0;·i·<·4;·i++)
40 ·36·{39 ·30·{
 40 ·31·li[5*i]·=·LocalKey(i,1,0);
 41 ·32·li[5*i·+·1]·=·LocalKey(i,1,1);
 42 ·33·li[5*i·+·2]·=·LocalKey(i,1,2);
 43 ·34·li[5*i·+·3]·=·LocalKey(i,1,3);
 44 ·35·li[5*i·+·4]·=·LocalKey(i,1,4);
 45 ·36·}
 46 ·37
41 ·37·for·(size_t·i=0;·i<4;·i++)47 ·38·for·(std::size_t·i=0;·i<40;·i++)
42 ·38·sign_[i]·=·(s[i])·?·-1.0·:·1.0; 
43 ·39 
44 ·40·n_[0]·=·{-1.0,·0.0}; 
45 ·41·n_[1]·=·{·1.0,·0.0}; 
46 ·42·n_[2]·=·{·0.0,·-1.0}; 
47 ·43·n_[3]·=·{·0.0,·1.0}; 
48 ·44·} 
49 ·45 
50 ·54·template<class·F,·class·C> 
51 55·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
52 ·56·{ 
53 ·57·//·f·gives·v*outer·normal·at·a·point·on·the·edge! 
54 ·58·typedef·typename·LB::Traits::RangeFieldType·Scalar; 
55 ·59·typedef·typename·LB::Traits::DomainFieldType·Vector; 
56 ·60 
57 ·61·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
58 DomainType>(ff); 
59 ·62 
60 ·63·out.resize(12); 
61 ·64·fill(out.begin(),·out.end(),·0.0); 
62 ·65 
63 ·66·const·int·qOrder·=·3; 
64 ·67·const·auto&·rule1·=·QuadratureRules<Scalar,1>::rule(GeometryTypes::cube(1), 
65 qOrder); 
66 ·68 
67 ·69·for·(auto&&·qp·:·rule1) 
68 ·70·{ 
69 ·71·Scalar·qPos·=·qp.position(); 
70 ·72·typename·LB::Traits::DomainType·localPos·=·{0.0,·qPos}; 
71 ·73 
72 ·74·auto·y·=·f(localPos); 
73 ·75·out[0]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*qp.weight()*sign_[0]; 
74 ·76·out[1]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*(2.0*qPos·-·1.0)*qp.weight(); 
75 ·77 
76 ·78·localPos·=·{1.0,·qPos}; 
77 ·79·y·=·f(localPos); 
78 ·80·out[2]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*qp.weight()*sign_[1]; 
79 ·81·out[3]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*(1.0·-·2.0*qPos)*qp.weight(); 
80 ·82 
81 ·83·localPos·=·{qPos,·0.0}; 
82 ·84·y·=·f(localPos); 
83 ·85·out[4]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*qp.weight()*sign_[2]; 
84 ·86·out[5]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*(1.0·-·2.0*qPos)*qp.weight(); 
85 ·87 
86 ·88·localPos·=·{qPos,·1.0}; 
87 ·89·y·=·f(localPos); 
88 ·90·out[6]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*qp.weight()*sign_[3]; 
89 ·91·out[7]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*(2.0*qPos·-·1.0)*qp.weight(); 
90 ·92·} 
91 ·93 
92 ·94·const·auto&·rule2·=·QuadratureRules<Vector,2>::rule(GeometryTypes::cube(2), 
93 qOrder); 
94 ·95 
95 ·96·for·(auto&&·qp·:·rule2) 
96 ·97·{48 ·39·{
97 ·98·auto·qPos·=·qp.position(); 
98 ·99 
99 ·100·auto·y·=·f(qPos); 
100 ·101·out[8]·+=·y[0]*qp.weight(); 
101 ·102·out[9]·+=·y[1]*qp.weight(); 
102 ·103·out[10]·+=·y[0]*qPos[1]*qp.weight(); 
103 ·104·out[11]·+=·y[1]*qPos[0]*qp.weight(); 
104 ·105·} 
105 ·106·} 
106 ·10749 ·40·li[20·+·i]·=·LocalKey(0,0,i);
 50 ·41·}
 51 ·42·}
 52 ·43
 53 45·std::size_t·size·()·const
 54 ·46·{
 55 ·47·return·60;
 56 ·48·}
 57 ·49
 58 51·const·LocalKey&·localKey·(std::size_t·i)·const
 59 ·52·{
 60 ·53·return·li[i];
 61 ·54·}
 62 ·55
107 ·108·private:63 ·56·private:
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17 #include·<vector>16 #include·<vector>
18 #include·"../../common/localkey.hh"17 #include·<dune/geometry/quadraturerules.hh>
 18 #include·<dune/localfunctions/common/localinterpolation.hh>
19 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
20 ·Classes20 ·Classes
21 class· Dune::RT1Cube2DLocalCoefficients 
22  ······Layout·map·for·Raviart-Thomas-1·elements·on·quadrilaterals.·More...21 class· Dune::RT4Cube2DLocalInterpolation<_LB_>
 22  ······Second·order·Raviart-Thomas·shape·functions·on·the·reference·triangle.
 23 ········More...
23  24  
24 ·Namespaces25 ·Namespaces
25 namespace· Dune26 namespace· Dune
26  27  
  
27 ===============================================================================28 ===============================================================================
28 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALCOEFFICIENTS_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALINTERPOLATION_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALCOEFFICIENTS_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALINTERPOLATION_HH
24 ·724 ·7
25 ·8#include·<cstddef> 
26 ·9#include·<vector>25 ·8#include·<vector>
27 ·10 
28 ·11#include·"../../common/localkey.hh"26 ·9
 27 ·10#include·<dune/geometry/quadraturerules.hh>
 28 ·11#include·<dune/localfunctions/common/localinterpolation.hh>
29 ·1229 ·12
30 ·13namespace·Dune30 ·13namespace·Dune
31 ·14{31 ·14{
32 ·1532 ·15
33 23·class·RT1Cube2DLocalCoefficients33 ·24·template<class·LB>
 34 25·class·RT4Cube2DLocalInterpolation
34 ·24·{35 ·26·{
35 ·2536 ·27
36 ·26·public:37 ·28·public:
37 28·RT1Cube2DLocalCoefficients·()·:·li(12) 
38 ·29·{38 ·29
39 ·30·for·(std::size_t·i=0;·i·<·4;·i++)39 35·RT4Cube2DLocalInterpolation·(unsigned·int·s·=·0)
40 ·31·{40 ·36·{
41 ·32·li[2*i]·=·LocalKey(i,1,0); 
42 ·33·li[2*i·+·1]·=·LocalKey(i,1,1);41 ·37·sign0·=·sign1·=·sign2·=·sign3·=·1.0;
 42 ·38·if·(s·&·1)
 43 ·39·{
 44 ·40·sign0·*=·-1.0;
43 ·34·}45 ·41·}
 46 ·42·if·(s·&·2)
44 ·35 
45 ·36·li[8]·=·LocalKey(0,0,0); 
46 ·37·li[9]·=·LocalKey(0,0,1); 
47 ·38·li[10]·=·LocalKey(0,0,2); 
48 ·39·li[11]·=·LocalKey(0,0,3); 
49 ·40·} 
50 ·41 
51 43·std::size_t·size·()·const 
52 ·44·{47 ·43·{
53 ·45·return·12;48 ·44·sign1·*=·-1.0;
54 ·46·}49 ·45·}
 50 ·46·if·(s·&·4)
55 ·4751 ·47·{
56 49·const·LocalKey&·localKey·(std::size_t·i)·const52 ·48·sign2·*=·-1.0;
 53 ·49·}
 54 ·50·if·(s·&·8)
57 ·50·{55 ·51·{
58 ·51·return·li[i];56 ·52·sign3·*=·-1.0;
59 ·52·}57 ·53·}
 58 ·54
 59 ·55·n0[0]·=·-1.0;
 60 ·56·n0[1]·=·0.0;
 61 ·57·n1[0]·=·1.0;
 62 ·58·n1[1]·=·0.0;
 63 ·59·n2[0]·=·0.0;
 64 ·60·n2[1]·=·-1.0;
 65 ·61·n3[0]·=·0.0;
 66 ·62·n3[1]·=·1.0;
 67 ·63·}
 68 ·64
 69 ·73·template<typename·F,·typename·C>
 70 74·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
 71 ·75·{
 72 ·76·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 73 ·77·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 74 ·78·typedef·typename·LB::Traits::DomainFieldType·Vector;
 75 ·79
 76 ·80·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 77 DomainType>(ff);
 78 ·81
 79 ·82·out.resize(60);
 80 ·83·fill(out.begin(),·out.end(),·0.0);
 81 ·84
 82 ·85·const·int·qOrder·=·12;
 83 ·86·const·QuadratureRule<Scalar,1>&·rule·=·QuadratureRules<Scalar,1>::rule
 84 (GeometryTypes::cube(1),·qOrder);
 85 ·87
 86 ·88·for·(typename·QuadratureRule<Scalar,1>::const_iterator·it=rule.begin();
 87 it!=rule.end();·++it)
 88 ·89·{
 89 ·90·Scalar·qPos·=·it->position();
 90 ·91·typename·LB::Traits::DomainType·localPos;
 91 ·92
 92 ·93·localPos[0]·=·0.0;
 93 ·94·localPos[1]·=·qPos;
 94 ·95·auto·y·=·f(localPos);
 95 ·96·out[0]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*it->weight()*sign0;
 96 ·97·out[1]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*(2.0*qPos·-·1.0)*it->weight();
 97 ·98·out[2]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*(6.0*qPos*qPos·-·6.0*qPos·+·1.0)*it-
 98 >weight()*sign0;
 99 ·99·out[3]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*(20.0*qPos*qPos*qPos·-·30.0*qPos*qPos·+
 100 12.0*qPos·-·1.0)*it->weight();
 101 ·100·out[4]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*(1.0-20.0*qPos+90.0*pow(qPos,2)-
 102 140.0*pow(qPos,3)+70.0*pow(qPos,4))*it->weight()*sign0;
 103 ·101
 104 ·102·localPos[0]·=·1.0;
 105 ·103·localPos[1]·=·qPos;
 106 ·104·y·=·f(localPos);
 107 ·105·out[5]·+=·(y[0]*n1[0]·+·y[1]*n1[1])*it->weight()*sign1;
 108 ·106·out[6]·+=·(y[0]*n1[0]·+·y[1]*n1[1])*(1.0·-·2.0*qPos)*it->weight();
 109 ·107·out[7]·+=·(y[0]*n1[0]·+·y[1]*n1[1])*(6.0*qPos*qPos·-·6.0*qPos·+·1.0)*it-
 110 >weight()*sign1;
 111 ·108·out[8]·+=·(y[0]*n1[0]·+·y[1]*n1[1])*(-20.0*qPos*qPos*qPos·+·30.0*qPos*qPos
 112 -·12.0*qPos·+·1.0)*it->weight();
 113 ·109·out[9]·+=·(y[0]*n1[0]·+·y[1]*n1[1])*(1.0-20.0*qPos+90.0*pow(qPos,2)-
 114 140.0*pow(qPos,3)+70.0*pow(qPos,4))*it->weight()*sign1;
 115 ·110
 116 ·111·localPos[0]·=·qPos;
 117 ·112·localPos[1]·=·0.0;
 118 ·113·y·=·f(localPos);
 119 ·114·out[10]·+=·(y[0]*n2[0]·+·y[1]*n2[1])*it->weight()*sign2;
 120 ·115·out[11]·+=·(y[0]*n2[0]·+·y[1]*n2[1])*(1.0·-·2.0*qPos)*it->weight();
 121 ·116·out[12]·+=·(y[0]*n2[0]·+·y[1]*n2[1])*(6.0*qPos*qPos·-·6.0*qPos·+·1.0)*it-
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas1cube2d13 ····*·raviartthomas0cube2d
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas1cube2dlocalbasis.hh·File·Reference15 raviartthomas0cube2dall.hh·File·Reference
 16 #include·<cstddef>
16 #include·<numeric>17 #include·<numeric>
17 #include·<vector>18 #include·<vector>
18 #include·<dune/common/fmatrix.hh>19 #include·<dune/common/fmatrix.hh>
19 #include·"../../common/localbasis.hh"20 #include·<dune/localfunctions/common/localbasis.hh>
 21 #include·<dune/localfunctions/common/localkey.hh>
 22 #include·<dune/localfunctions/common/localinterpolation.hh>
20 Go_to_the_source_code_of_this_file.23 Go_to_the_source_code_of_this_file.
21 ·Classes24 ·Classes
22 class· Dune::RT1Cube2DLocalBasis<_D,_R_>25 class· Dune::RT0Cube2DLocalBasis<_D,_R_>
23  ······First·order·Raviart-Thomas·shape·functions·on·the·reference26  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference
24 ········quadrilateral.·More...27 ········quadrilateral.·More...
25  28  
 29 class· Dune::RT0Cube2DLocalInterpolation<_LB_>
 30  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference
 31 ········quadrilateral.·More...
 32  
 33 class· Dune::RT0Cube2DLocalCoefficients
 34  ······Layout·map·for·RT0·elements·on·quadrilaterals.·More...
 35  
26 ·Namespaces36 ·Namespaces
27 namespace· Dune37 namespace· Dune
28  38  
  
29 ===============================================================================39 ===============================================================================
30 ·····Generated·by [doxygen]·1.9.840 ·····Generated·by [doxygen]·1.9.8
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1 <!DOCTYPE·html·PUBLIC·"-//W3C//DTD·XHTML·1.0·Transitional//EN"·"https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">1 <!DOCTYPE·html·PUBLIC·"-//W3C//DTD·XHTML·1.0·Transitional//EN"·"https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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8 <title>dune-localfunctions:·raviartthomas1cube2dlocalbasis.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas0cube2dall.hh·Source·File</title>
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomas1cube2d14 ····*·raviartthomas0cube2d
15 raviartthomas1cube2dlocalbasis.hh15 raviartthomas0cube2dall.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALBASIS_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE2D_ALL_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALBASIS_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE2D_ALL_HH
24 ·724 ·7
 25 ·8#include·<cstddef>
25 ·8#include·<numeric>26 ·9#include·<numeric>
26 ·9#include·<vector>27 ·10#include·<vector>
27 ·1028 ·11
28 ·11#include·<dune/common/fmatrix.hh>29 ·12#include·<dune/common/fmatrix.hh>
29 ·12 
30 ·13#include·"../../common/localbasis.hh" 
31 ·1430 ·13
 31 ·14#include·<dune/localfunctions/common/localbasis.hh>
 32 ·15#include·<dune/localfunctions/common/localkey.hh>
 33 ·16#include·<dune/localfunctions/common/localinterpolation.hh>
 34 ·17
32 ·15namespace·Dune35 ·18namespace·Dune
33 ·16{36 ·19{
34 ·26·template<class·D,·class·R>37 ·28·template<class·D,·class·R>
35 27·class·RT1Cube2DLocalBasis38 29·class·RT0Cube2DLocalBasis
 39 ·30·{
36 ·28·{ 
37 ·29 
38 ·30·public:40 ·31·public:
39 ·31·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::41 ·32·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
40 FieldVector<R,2>,42 FieldVector<R,2>,
41 32·Dune::FieldMatrix<R,2,2>·>·Traits;43 33·Dune::FieldMatrix<R,2,2>·>·Traits;
42 ·3344 ·34
43 39·RT1Cube2DLocalBasis·(std::bitset<4>·s·=·0)45 36·RT0Cube2DLocalBasis·(std::bitset<4>·s·=·0)
44 ·40·{46 ·37·{
45 ·41·for·(size_t·i=0;·i<4;·i++)47 ·38·for·(int·i=0;·i<4;·i++)
46 ·42·sign_[i]·=·(s[i])·?·-1.0·:·1.0;48 ·39·sign_[i]·=·s[i]·?·-1.0·:·1.0;
47 ·43·}49 ·40·}
48 ·4450 ·41
49 46·unsigned·int·size·()·const51 43·unsigned·int·size·()·const
50 ·47·{52 ·44·{
51 ·48·return·12;53 ·45·return·4;
52 ·49·}54 ·46·}
53 ·5055 ·47
54 57·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,56 49·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
55 ·58·std::vector<typename·Traits::RangeType>&·out)·const57 ·50·std::vector<typename·Traits::RangeType>&·out)·const
56 ·59·{58 ·51·{
 59 ·52·out.resize(4);
 60 ·53·out[0]·=·{sign_[0]*(in[0]-1.0),·0.0};
 61 ·54·out[1]·=·{sign_[1]*(in[0]),·0.0};
 62 ·55·out[2]·=·{0.0,·sign_[2]*(in[1]-1.0)};
 63 ·56·out[3]·=·{0.0,·sign_[3]*(in[1])};
 64 ·57·}
 65 ·58
 66 ·60·inline·void
 67 61·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
 68 ·62·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
 69 ·63·{
57 ·60·out.resize(12);70 ·64·out.resize(4);
 71 ·65·out[0][0]·=·{sign_[0],·0};
58 ·61 
59 ·62·out[0][0]·=·sign_[0]*(-1.0·+·4.0*in[0]-3*in[0]*in[0]); 
60 ·63·out[0][1]·=·0.0;72 ·66·out[0][1]·=·{0,·0};
61 ·64·out[1][0]·=·3.0·-·12.0*in[0]·-·6.0*in[1]·+·24.0*in[0]*in[1]+9*in[0]*in[0]·- 
62 18.0*in[0]*in[0]*in[1];73 ·67
 74 ·68·out[1][0]·=·{sign_[1],·0};
63 ·65·out[1][1]·=·0.0;75 ·69·out[1][1]·=·{0,·0};
64 ·66·out[2][0]·=·sign_[1]*(-2.0*in[0]·+·3.0*in[0]*in[0]);76 ·70
65 ·67·out[2][1]·=·0.0;77 ·71·out[2][0]·=·{0,·0};
 78 ·72·out[2][1]·=·{0,·sign_[2]};
 79 ·73
66 ·68·out[3][0]·=·-6.0*in[0]·+·12.0*in[0]*in[1]·+·9.0*in[0]*in[0]·-·18.0*in[0]*in 
67 [0]*in[1]; 
68 ·69·out[3][1]·=·0.0; 
69 ·70·out[4][0]·=·0.0; 
70 ·71·out[4][1]·=·sign_[2]*(-1.0·+·4.0*in[1]·-·3.0*in[1]*in[1]); 
71 ·72·out[5][0]·=·0.0; 
72 ·73·out[5][1]·=·-3.0·+·6.0*in[0]·+·12.0*in[1]·-·24.0*in[0]*in[1]·-·9.0*in[1]*in 
73 [1]·+·18.0*in[0]*in[1]*in[1]; 
74 ·74·out[6][0]·=·0.0;80 ·74·out[3][0]·=·{0,·0};
 81 ·75·out[3][1]·=·{0,·sign_[3]};
75 ·75·out[6][1]·=·sign_[3]*(-2.0*in[1]·+·3.0*in[1]*in[1]); 
76 ·76·out[7][0]·=·0.0; 
77 ·77·out[7][1]·=·6.0*in[1]·-·12.0*in[0]*in[1]·-·9.0*in[1]*in[1]·+·18.0*in[0]*in 
78 [1]*in[1]; 
79 ·78·out[8][0]·=·24.0*in[0]·-·36.0*in[0]*in[1]·-·24.0*in[0]*in[0]·+·36.0*in 
80 [0]*in[0]*in[1]; 
81 ·79·out[8][1]·=·0.0; 
82 ·80·out[9][0]·=·0.0; 
83 ·81·out[9][1]·=·24.0*in[1]·-·36.0*in[0]*in[1]·-·24.0*in[1]*in[1]·+·36.0*in 
84 [0]*in[1]*in[1]; 
85 ·82·out[10][0]·=·-36.0*in[0]·+·72.0*in[0]*in[1]·+·36.0*in[0]*in[0]·-·72.0*in 
86 [0]*in[0]*in[1]; 
87 ·83·out[10][1]·=·0.0; 
88 ·84·out[11][0]·=·0.0; 
89 ·85·out[11][1]·=·-36.0*in[1]·+·72.0*in[0]*in[1]·+·36*in[1]*in[1]·-·72.0*in 
90 [0]*in[1]*in[1]; 
91 ·86·}82 ·76·}
92 ·87 
93 94·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,83 ·77
 84 79·void·partial·(const·std::array<unsigned·int,·2>&·order,
 85 ·80·const·typename·Traits::DomainType&·in,·//·position
94 ·95·std::vector<typename·Traits::JacobianType>&·out)·const86 ·81·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value
95 ·96·{ 
96 ·97·out.resize(12); 
97 ·98 
98 ·99·out[0][0][0]·=·sign_[0]*(4.0·-·6.0*in[0]); 
99 ·100·out[0][0][1]·=·0.0; 
100 ·101·out[0][1][0]·=·0.0; 
101 ·102·out[0][1][1]·=·0.0; 
102 ·103 
103 ·104·out[1][0][0]·=·-12.0·+·24.0*in[1]·+·18.0*in[0]·-·36.0*in[0]*in[1]; 
104 ·105·out[1][0][1]·=·-6·+·24.0*in[0]·-·18.0*in[0]*in[0]; 
105 ·106·out[1][1][0]·=·0.0; 
106 ·107·out[1][1][1]·=·0.0; 
107 ·108 
108 ·109·out[2][0][0]·=·sign_[1]*(-2.0·+·6.0*in[0]); 
109 ·110·out[2][0][1]·=·0.0; 
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77 <a·href="#nested-classes">Classes</a>·&#124;77 <a·href="#nested-classes">Classes</a>·&#124;
78 <a·href="#namespaces">Namespaces</a>··</div>78 <a·href="#namespaces">Namespaces</a>··</div>
79 ··<div·class="headertitle"><div·class="title">raviartthomas0cube3d.hh·File·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">raviartthomas0cube3d.hh·File·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
82 <div·class="textblock"><code>#include·&lt;dune/geometry/type.hh&gt;</code><br·/>82 <div·class="textblock"><code>#include·&lt;dune/geometry/type.hh&gt;</code><br·/>
83 <code>#include·&lt;<a·class="el"·href="a00413_source.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>&gt;</code><br·/>83 <code>#include·&lt;<a·class="el"·href="a00095_source.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>&gt;</code><br·/>
84 <code>#include·&quot;<a·class="el"·href="a00167_source.html">raviartthomas0cube3d/raviartthomas0cube3dall.hh</a>&quot;</code><br·/>84 <code>#include·&quot;<a·class="el"·href="a00278_source.html">raviartthomas0cube3d/raviartthomas0cube3dall.hh</a>&quot;</code><br·/>
85 </div>85 </div>
86 <p><a·href="a00215_source.html">Go·to·the·source·code·of·this·file.</a></p>86 <p><a·href="a00215_source.html">Go·to·the·source·code·of·this·file.</a></p>
87 <table·class="memberdecls">87 <table·class="memberdecls">
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91 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight"><a·class="el"·href="a02681.html"·title="A·class·representing·the·zero·of·a·given·Field.">Zero</a>·order·Raviart-Thomas·shape·functions·on·cubes.··<a·href="a02285.html#details">More...</a><br·/></td></tr>91 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight"><a·class="el"·href="a02681.html"·title="A·class·representing·the·zero·of·a·given·Field.">Zero</a>·order·Raviart-Thomas·shape·functions·on·cubes.··<a·href="a02285.html#details">More...</a><br·/></td></tr>
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87 <div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>87 <div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>
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97 <div·class="line"><a·id="l00014"·name="l00014"></a><span·class="lineno">···14</span>{</div>97 <div·class="line"><a·id="l00014"·name="l00014"></a><span·class="lineno">···14</span>{</div>
98 <div·class="line"><a·id="l00023"·name="l00023"></a><span·class="lineno">···23</span>··<span·class="keyword">template</span>&lt;<span·class="keyword">class</span>·D,·<span·class="keyword">class</span>·R&gt;</div>98 <div·class="line"><a·id="l00023"·name="l00023"></a><span·class="lineno">···23</span>··<span·class="keyword">template</span>&lt;<span·class="keyword">class</span>·D,·<span·class="keyword">class</span>·R&gt;</div>
99 <div·class="foldopen"·id="foldopen00024"·data-start="{"·data-end="};">99 <div·class="foldopen"·id="foldopen00024"·data-start="{"·data-end="};">
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101 <div·class="line"><a·id="l00025"·name="l00025"></a><span·class="lineno">···25</span>··{</div>101 <div·class="line"><a·id="l00025"·name="l00025"></a><span·class="lineno">···25</span>··{</div>
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74 ·66·private:74 ·66·private:
75 ·67·RT0Cube3DLocalBasis<D,R>·basis;75 ·67·RT0Cube3DLocalBasis<D,R>·basis;
76 ·68·RT0Cube3DLocalCoefficients·coefficients;76 ·68·RT0Cube3DLocalCoefficients·coefficients;
77 ·69·RT0Cube3DLocalInterpolation<RT0Cube3DLocalBasis<D,R>·>·interpolation;77 ·69·RT0Cube3DLocalInterpolation<RT0Cube3DLocalBasis<D,R>·>·interpolation;
78 ·70·};78 ·70·};
79 ·71}79 ·71}
80 ·72#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_LOCALFINITEELEMENT_HH80 ·72#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_LOCALFINITEELEMENT_HH
81 raviartthomas0cube3dall.hh 
82 localfiniteelementtraits.hh81 localfiniteelementtraits.hh
 82 raviartthomas0cube3dall.hh
83 Dune83 Dune
84 Definition·bdfmcube.hh:1884 Definition·bdfmcube.hh:18
85 Dune::LocalFiniteElementTraits85 Dune::LocalFiniteElementTraits
86 traits·helper·struct86 traits·helper·struct
87 Definition·localfiniteelementtraits.hh:1387 Definition·localfiniteelementtraits.hh:13
88 Dune::LocalFiniteElementTraits::LocalBasisType88 Dune::LocalFiniteElementTraits::LocalBasisType
89 LB·LocalBasisType89 LB·LocalBasisType
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13 ····*·raviartthomas03d13 ····*·raviartthomas02d
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 17 #include·<array>
 18 #include·<bitset>
 19 #include·<vector>
18 #include·<dune/localfunctions/common/localbasis.hh>20 #include·<dune/localfunctions/common/localinterpolation.hh>
19 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
20 ·Classes22 ·Classes
 23 class· Dune::RT02DLocalInterpolation<_LB_>
21 class· Dune::RT03DLocalBasis<_D,_R_> 
22  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference 
23 ········tetrahedron.·More... 
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
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15 raviartthomas03dlocalbasis.hh15 raviartthomas02dlocalinterpolation.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 22 ·5#ifndef·DUNE_RT02DLOCALINTERPOLATION_HH
 23 ·6#define·DUNE_RT02DLOCALINTERPOLATION_HH
22 ·5#ifndef 
23 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALBASIS_HH 
24 ·6#define 
25 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALBASIS_HH 
26 ·724 ·7
27 ·8#include·<numeric> 
28 ·9 
29 ·10#include·<dune/common/fmatrix.hh> 
30 ·1125 ·8#include·<cmath>
 26 ·9#include·<array>
 27 ·10#include·<bitset>
 28 ·11#include·<vector>
31 ·12#include·<dune/localfunctions/common/localbasis.hh>29 ·12#include·<dune/localfunctions/common/localinterpolation.hh>
32 ·1330 ·13
33 ·14namespace·Dune31 ·14namespace·Dune
34 ·15{32 ·15{
35 ·24·template<class·D,·class·R> 
36 25·class·RT03DLocalBasis 
37 ·26·{33 ·16·template<class·LB>
 34 17·class·RT02DLocalInterpolation
 35 ·18·{
38 ·27·public:36 ·19·public:
 37 ·20
39 ·28·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune:: 
40 FieldVector<R,3>, 
41 29·Dune::FieldMatrix<R,3,3>·>·Traits; 
42 ·30 
43 32·RT03DLocalBasis·(std::bitset<4>·s·=·0)38 22·RT02DLocalInterpolation·(std::bitset<3>·s·=·0)
44 ·33·{39 ·23·{
 40 ·24·using·std::sqrt;
 41 ·25·for·(std::size_t·i=0;·i<sign_.size();·i++)
 42 ·26·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
 43 ·27
 44 ·28·m_[0]·=·{0.5,·0.0};
 45 ·29·m_[1]·=·{0.0,·0.5};
 46 ·30·m_[2]·=·{0.5,·0.5};
 47 ·31·n_[0]·=·{0.0,·-1.0};
 48 ·32·n_[1]·=·{-1.0,·0.0};
 49 ·33·n_[2]·=·{1.0/sqrt(2.0),·1.0/sqrt(2.0)};
 50 ·34·c_[0]·=·(·0.5*n_[0][0]·-·1.0*n_[0][1]);
 51 ·35·c_[1]·=·(-1.0*n_[1][0]·+·0.5*n_[1][1]);
 52 ·36·c_[2]·=·(·0.5*n_[2][0]·+·0.5*n_[2][1]);
 53 ·37·}
 54 ·38
 55 ·39·template<typename·F,·typename·C>
 56 40·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
 57 ·41·{
 58 ·42·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 59 ·43·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 60 DomainType>(ff);
 61 ·44
 62 ·45·out.resize(3);
 63 ·46
45 ·34·for·(int·i=0;·i<4;·i++)64 ·47·for·(int·i=0;·i<3;·i++)
46 ·35·sign_[i]·=·s[i]·?·-1.0·:·1.0; 
47 ·36·} 
48 ·37 
49 39·unsigned·int·size·()·const 
50 ·40·{65 ·48·{
 66 ·49·auto·y·=·f(m_[i]);
 67 ·50·out[i]·=·(y[0]*n_[i][0]+y[1]*n_[i][1])*sign_[i]/c_[i];
51 ·41·return·4; 
52 ·42·} 
53 ·43 
54 45·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
55 ·46·std::vector<typename·Traits::RangeType>&·out)·const 
56 ·47·{ 
57 ·48·out.resize(4); 
58 ·49·auto·c·=·std::sqrt(2.0); 
59 ·50·out[0]·=·{sign_[0]*c*·in[0],·sign_[0]*c*·in[1],·sign_[0]*c*(in[2]-D(1))}; 
60 ·51·out[1]·=·{sign_[1]*c*·in[0],·sign_[1]*c*(in[1]-D(1)),·sign_[1]*c*·in[2]·}; 
61 ·52·out[2]·=·{sign_[2]*c*(in[0]-D(1)),·sign_[2]*c*·in[1],·sign_[2]*c*·in[2]·}; 
62 ·53·out[3]·=·{sign_[3]*c*·in[0],·sign_[3]*c*·in[1],·sign_[3]*c*·in[2]·}; 
63 ·54·}68 ·51·}
 69 ·52·}
 70 ·53
64 ·55 
65 ·57·inline·void 
66 58·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position 
67 ·59·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value 
68 ·60·{ 
69 ·61·out.resize(4); 
70 ·62·for·(int·i=0;·i<4;·i++) 
71 ·63·{ 
72 ·64·auto·c·=·std::sqrt(2.0); 
73 ·65·out[i][0]·=·{c*sign_[i],·0,·0}; 
74 ·66·out[i][1]·=·{·0,c*sign_[i],·0}; 
75 ·67·out[i][2]·=·{·0,·0,c*sign_[i]}; 
76 ·68·} 
77 ·69·} 
78 ·70 
79 72·void·partial·(const·std::array<unsigned·int,·3>&·order, 
80 ·73·const·typename·Traits::DomainType&·in,·//·position 
81 ·74·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value 
82 ·75·{ 
83 ·76·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0); 
84 ·77·if·(totalOrder·==·0)·{ 
85 ·78·evaluateFunction(in,·out); 
86 ·79·}·else·if·(totalOrder·==·1)·{ 
87 ·80·auto·const·direction·=·std::distance(order.begin(),·std::find(order.begin 
88 (),·order.end(),·1)); 
89 ·81·out.resize(size()); 
90 ·82 
91 ·83·for·(int·i=0;·i<size();·i++) 
92 ·84·{ 
93 ·85·out[i][direction]·=·sign_[i]*·std::sqrt(2.0)·; 
94 ·86·out[i][(direction+1)%3]·=·0; 
95 ·87·out[i][(direction+2)%3]·=·0; 
96 ·88·} 
97 ·89·}·else·{ 
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomas03d14 ····*·raviartthomas02d
15 raviartthomas03dlocalinterpolation.hh15 raviartthomas02dlocalbasis.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 22 ·5#ifndef·DUNE_RT0TRIANGLELOCALBASIS_HH
 23 ·6#define·DUNE_RT0TRIANGLELOCALBASIS_HH
22 ·5#ifndef 
23 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALINTERPOLATION_HH 
24 ·6#define 
25 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALINTERPOLATION_HH 
26 ·724 ·7
27 ·8#include·<cmath> 
28 ·9#include·<array> 
29 ·10#include·<bitset> 
30 ·11#include·<vector>25 ·8#include·<numeric>
 26 ·9
 27 ·10#include·<dune/common/fmatrix.hh>
 28 ·11
31 ·12#include·<dune/localfunctions/common/localinterpolation.hh>29 ·12#include·<dune/localfunctions/common/localbasis.hh>
32 ·1330 ·13
33 ·14namespace·Dune31 ·14namespace·Dune
34 ·15{32 ·15{
35 ·16·template<class·LB> 
36 17·class·RT03DLocalInterpolation 
37 ·18·{33 ·24·template<class·D,·class·R>
 34 25·class·RT02DLocalBasis
 35 ·26·{
38 ·19·public:36 ·27·public:
39 ·2037 ·28·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
 38 FieldVector<R,2>,
 39 29·Dune::FieldMatrix<R,2,2>·>·Traits;
 40 ·30
40 22·RT03DLocalInterpolation·(std::bitset<4>·s·=·0)41 32·RT02DLocalBasis·(std::bitset<3>·s·=·0)
41 ·23·{42 ·33·{
 43 ·34·for·(int·i=0;·i<3;·i++)
42 ·24·using·std::sqrt; 
43 ·25·for·(std::size_t·i=0;·i<sign_.size();·i++) 
44 ·26·sign_[i]·=·(s[i])·?·-1.0·:·1.0;44 ·35·sign_[i]·=·s[i]·?·-1.0·:·1.0;
 45 ·36·}
 46 ·37
 47 39·unsigned·int·size·()·const
45 ·27 
46 ·28·m_[0]·=·{1/3.0,·1/3.0,·0.0}; 
47 ·29·m_[1]·=·{1/3.0,·0.0,·1/3.0}; 
48 ·30·m_[2]·=·{·0.0,·1/3.0,·1/3.0}; 
49 ·31·m_[3]·=·{1/3.0,·1/3.0,·1/3.0}; 
50 ·32·n_[0]·=·{·0.0,·0.0,·-1.0}; 
51 ·33·n_[1]·=·{·0.0,·-1.0,·0.0}; 
52 ·34·n_[2]·=·{·-1.0,·0.0,·0.0}; 
53 ·35·n_[3]·=·{1.0/sqrt(3.0),·1.0/sqrt(3.0),·1.0/sqrt(3.0)}; 
54 ·36·c_[0]·=·sqrt(2.0); 
55 ·37·c_[1]·=·sqrt(2.0); 
56 ·38·c_[2]·=·sqrt(2.0); 
57 ·39·c_[3]·=·sqrt(2.0)/sqrt(3.0); 
58 ·40·}48 ·40·{
59 ·41 
60 ·42·template<typename·F,·typename·C> 
61 43·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const49 ·41·return·3;
 50 ·42·}
 51 ·43
 52 45·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 53 ·46·std::vector<typename·Traits::RangeType>&·out)·const
62 ·44·{54 ·47·{
63 ·45·//·f·gives·v*outer·normal·at·a·point·on·the·face! 
64 ·46·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
65 DomainType>(ff); 
66 ·47 
67 ·48·out.resize(4);55 ·48·out.resize(3);
68 ·4956 ·49·out[0]·=·{sign_[0]*in[0],·sign_[0]*(in[1]-D(1))};
 57 ·50·out[1]·=·{sign_[1]*(in[0]-D(1)),·sign_[1]*in[1]};
 58 ·51·out[2]·=·{sign_[2]*in[0],·sign_[2]*in[1]};
 59 ·52·}
 60 ·53
 61 ·55·inline·void
 62 56·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
 63 ·57·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
 64 ·58·{
 65 ·59·out.resize(3);
69 ·50·for·(int·i=0;·i<4;·i++)66 ·60·for·(int·i=0;·i<3;·i++)
70 ·51·{67 ·61·{
71 ·52·auto·y·=·f(m_[i]); 
72 ·53·out[i]·=·(y[0]*n_[i][0]+y[1]*n_[i][1]+y[2]*n_[i][2])*sign_[i]/c_[i];68 ·62·out[i][0]·=·{sign_[i],·0};
 69 ·63·out[i][1]·=·{·0,·sign_[i]};
73 ·54·}70 ·64·}
74 ·55·}71 ·65·}
75 ·5672 ·66
 73 68·void·partial·(const·std::array<unsigned·int,·2>&·order,
 74 ·69·const·typename·Traits::DomainType&·in,·//·position
 75 ·70·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value
 76 ·71·{
 77 ·72·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0);
 78 ·73·if·(totalOrder·==·0)·{
 79 ·74·evaluateFunction(in,·out);
 80 ·75·}·else·if·(totalOrder·==·1)·{
 81 ·76·auto·const·direction·=·std::distance(order.begin(),·std::find(order.begin
 82 (),·order.end(),·1));
 83 ·77·out.resize(size());
 84 ·78
 85 ·79·for·(int·i=0;·i<3;·i++)
 86 ·80·{
 87 ·81·out[i][direction]·=·sign_[i];
 88 ·82·out[i][1-direction]·=·0;
 89 ·83·}
 90 ·84·}·else·{
 91 ·85·out.resize(size());
 92 ·86·for·(std::size_t·i·=·0;·i·<·size();·++i)
 93 ·87·for·(std::size_t·j·=·0;·j·<·2;·++j)
 94 ·88·out[i][j]·=·0;
 95 ·89·}
 96 ·90
 97 ·91·}
 98 ·92
 99 94·unsigned·int·order·()·const
 100 ·95·{
 101 ·96·return·1;
 102 ·97·}
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8 <title>dune-localfunctions:·raviartthomas03dlocalcoefficients.hh·File·Reference</title>8 <title>dune-localfunctions:·raviartthomas02dlocalcoefficients.hh·File·Reference</title>
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12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas03d13 ····*·raviartthomas02d
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas03dlocalcoefficients.hh·File·Reference15 raviartthomas02dlocalcoefficients.hh·File·Reference
16 #include·<cstddef>16 #include·<cstddef>
17 #include·<iostream>17 #include·<iostream>
18 #include·<vector>18 #include·<vector>
19 #include·<dune/localfunctions/common/localkey.hh>19 #include·<dune/localfunctions/common/localkey.hh>
20 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
21 ·Classes21 ·Classes
22 class· Dune::RT03DLocalCoefficients22 class· Dune::RT02DLocalCoefficients
23  ······Layout·map·for·RT0·elements.·More...23  ······Layout·map·for·RT0·elements.·More...
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
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15 raviartthomas03dlocalcoefficients.hh15 raviartthomas02dlocalcoefficients.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 22 ·5#ifndef·DUNE_RT0TRIANGLELOCALCOEFFICIENTS_HH
 23 ·6#define·DUNE_RT0TRIANGLELOCALCOEFFICIENTS_HH
22 ·5#ifndef 
23 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALCOEFFICIENTS_HH 
24 ·6#define 
25 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALCOEFFICIENTS_HH 
26 ·724 ·7
27 ·8#include·<cstddef>25 ·8#include·<cstddef>
28 ·9#include·<iostream>26 ·9#include·<iostream>
29 ·10#include·<vector>27 ·10#include·<vector>
30 ·1128 ·11
31 ·12#include·<dune/localfunctions/common/localkey.hh>29 ·12#include·<dune/localfunctions/common/localkey.hh>
32 ·1330 ·13
33 ·14namespace·Dune31 ·14namespace·Dune
34 ·15{32 ·15{
35 ·1633 ·16
36 23·class·RT03DLocalCoefficients34 23·class·RT02DLocalCoefficients
37 ·24·{35 ·24·{
38 ·25·public:36 ·25·public:
39 27·RT03DLocalCoefficients·()·:·li(4)37 27·RT02DLocalCoefficients·()·:·li(3)
40 ·28·{38 ·28·{
41 ·29·for·(std::size_t·i=0;·i<4;·i++)39 ·29·for·(std::size_t·i=0;·i<3;·i++)
42 ·30·li[i]·=·LocalKey(i,1,0);40 ·30·li[i]·=·LocalKey(i,1,0);
43 ·31·}41 ·31·}
44 ·3242 ·32
45 34·std::size_t·size·()·const43 34·std::size_t·size·()·const
46 ·35·{44 ·35·{
47 ·36·return·4;45 ·36·return·3;
48 ·37·}46 ·37·}
49 ·3847 ·38
50 40·const·LocalKey&·localKey·(std::size_t·i)·const48 40·const·LocalKey&·localKey·(std::size_t·i)·const
51 ·41·{49 ·41·{
52 ·42·return·li[i];50 ·42·return·li[i];
53 ·43·}51 ·43·}
54 ·4452 ·44
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18 #include·"raviartthomas4cube2d/raviartthomas4cube2dlocalbasis.hh"18 #include·"raviartthomas0prism/raviartthomas0prismlocalbasis.hh"
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22 ·Classes22 ·Classes
23 class· Dune::RT4Cube2DLocalFiniteElement<_D,_R_>23 class· Dune::RT0PrismLocalFiniteElement<_D,_R_>
24  ······Second·order·Raviart-Thomas·shape·functions·on·cubes.·More...24  ······First·order·Raviart-Thomas·shape·functions·on·prisms.·More...
25  25  
26 ·Namespaces26 ·Namespaces
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 raviartthomas4cube2d.hh14 raviartthomas0prism.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALFINITEELEMENT_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_HH
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALFINITEELEMENT_HH22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_HH
23 ·723 ·7
24 ·8#include·<dune/geometry/type.hh>24 ·8#include·<dune/geometry/type.hh>
25 ·925 ·9
26 ·10#include·"../common/localfiniteelementtraits.hh"26 ·10#include·"../common/localfiniteelementtraits.hh"
27 ·11#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalbasis.hh"27 ·11#include·"raviartthomas0prism/raviartthomas0prismlocalbasis.hh"
28 ·12#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalcoefficients.hh"28 ·12#include·"raviartthomas0prism/raviartthomas0prismlocalcoefficients.hh"
29 ·13#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalinterpolation.hh"29 ·13#include·"raviartthomas0prism/raviartthomas0prismlocalinterpolation.hh"
30 ·1430 ·14
31 ·15namespace·Dune31 ·15namespace·Dune
32 ·16{32 ·16{
33 ·27·template<class·D,·class·R>33 ·25·template<class·D,·class·R>
34 28·class·RT4Cube2DLocalFiniteElement34 26·class·RT0PrismLocalFiniteElement
35 ·29·{35 ·27·{
36 ·3036 ·28
37 ·31·public:37 ·29·public:
38 ·32·typedef·LocalFiniteElementTraits<38 ·30·typedef·LocalFiniteElementTraits<
39 ·33·RT4Cube2DLocalBasis<D,R>,39 ·31·RT0PrismLocalBasis<D,R>,
40 ·34·RT4Cube2DLocalCoefficients,40 ·32·RT0PrismLocalCoefficients,
41 35·RT4Cube2DLocalInterpolation<RT4Cube2DLocalBasis<D,R>·>·>·Traits;41 33·RT0PrismLocalInterpolation<RT0PrismLocalBasis<D,R>·>·>·Traits;
42 ·3642 ·34
 43 ·35
43 38·RT4Cube2DLocalFiniteElement·()44 37·RT0PrismLocalFiniteElement·()
44 ·39·{}45 ·38·{}
45 ·4046 ·39
46 46·RT4Cube2DLocalFiniteElement·(int·s)·:47 45·RT0PrismLocalFiniteElement·(int·s)·:
47 ·47·basis(s),48 ·46·basis(s),
48 ·48·interpolation(s)49 ·47·interpolation(s)
49 ·49·{}50 ·48·{}
50 ·5051 ·49
51 51·const·typename·Traits::LocalBasisType&·localBasis·()·const52 50·const·typename·Traits::LocalBasisType&·localBasis·()·const
52 ·52·{53 ·51·{
53 ·53·return·basis;54 ·52·return·basis;
54 ·54·}55 ·53·}
55 ·5556 ·54
56 56·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const57 55·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
57 ·57·{58 ·56·{
58 ·58·return·coefficients;59 ·57·return·coefficients;
59 ·59·}60 ·58·}
60 ·6061 ·59
61 61·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const62 60·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
62 ·62·{63 ·61·{
63 ·63·return·interpolation;64 ·62·return·interpolation;
64 ·64·}65 ·63·}
65 ·6566 ·64
66 67·unsigned·int·size·()·const67 66·unsigned·int·size·()·const
67 ·68·{68 ·67·{
68 ·69·return·basis.size();69 ·68·return·basis.size();
 70 ·69·}
69 ·70·}71 ·70
70 ·71 
71 72·static·constexpr·GeometryType·type·()72 71·static·constexpr·GeometryType·type·()
72 ·73·{73 ·72·{
73 ·74·return·GeometryTypes::quadrilateral;74 ·73·return·GeometryTypes::prism;
74 ·75·}75 ·74·}
75 ·7676 ·75
76 ·77·private:77 ·76·private:
77 ·78·RT4Cube2DLocalBasis<D,R>·basis;78 ·77·RT0PrismLocalBasis<D,R>·basis;
78 ·79·RT4Cube2DLocalCoefficients·coefficients;79 ·78·RT0PrismLocalCoefficients·coefficients;
79 ·80·RT4Cube2DLocalInterpolation<RT4Cube2DLocalBasis<D,R>·>·interpolation;80 ·79·RT0PrismLocalInterpolation<RT0PrismLocalBasis<D,R>·>·interpolation;
80 ·81·};81 ·80·};
81 ·82}82 ·81}
82 ·83#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALFINITEELEMENT_HH83 ·82#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_HH
 84 raviartthomas0prismlocalbasis.hh
83 raviartthomas4cube2dlocalcoefficients.hh85 raviartthomas0prismlocalcoefficients.hh
84 raviartthomas4cube2dlocalinterpolation.hh86 raviartthomas0prismlocalinterpolation.hh
85 raviartthomas4cube2dlocalbasis.hh 
86 Dune87 Dune
87 Definition·bdfmcube.hh:1888 Definition·bdfmcube.hh:18
88 Dune::LocalFiniteElementTraits89 Dune::LocalFiniteElementTraits
89 traits·helper·struct90 traits·helper·struct
90 Definition·localfiniteelementtraits.hh:1391 Definition·localfiniteelementtraits.hh:13
91 Dune::LocalFiniteElementTraits::LocalBasisType92 Dune::LocalFiniteElementTraits::LocalBasisType
92 LB·LocalBasisType93 LB·LocalBasisType
93 Definition·localfiniteelementtraits.hh:1694 Definition·localfiniteelementtraits.hh:16
94 Dune::LocalFiniteElementTraits::LocalCoefficientsType95 Dune::LocalFiniteElementTraits::LocalCoefficientsType
95 LC·LocalCoefficientsType96 LC·LocalCoefficientsType
96 Definition·localfiniteelementtraits.hh:2097 Definition·localfiniteelementtraits.hh:20
97 Dune::LocalFiniteElementTraits::LocalInterpolationType98 Dune::LocalFiniteElementTraits::LocalInterpolationType
98 LI·LocalInterpolationType99 LI·LocalInterpolationType
99 Definition·localfiniteelementtraits.hh:24100 Definition·localfiniteelementtraits.hh:24
100 Dune::RT4Cube2DLocalFiniteElement101 Dune::RT0PrismLocalFiniteElement
101 Second·order·Raviart-Thomas·shape·functions·on·cubes.102 First·order·Raviart-Thomas·shape·functions·on·prisms.
102 Definition·raviartthomas4cube2d.hh:29103 Definition·raviartthomas0prism.hh:27
103 Dune::RT4Cube2DLocalFiniteElement::Traits 
104 LocalFiniteElementTraits<·RT4Cube2DLocalBasis<·D,·R·>, 
105 RT4Cube2DLocalCoefficients,·RT4Cube2DLocalInterpolation<·RT4Cube2DLocalBasis< 
106 D,·R·>·>·>·Traits 
107 Definition·raviartthomas4cube2d.hh:35 
108 Dune::RT4Cube2DLocalFiniteElement::size104 Dune::RT0PrismLocalFiniteElement::size
109 unsigned·int·size()·const105 unsigned·int·size()·const
110 Number·of·shape·functions·in·this·finite·element.106 Number·of·shape·functions·in·this·finite·element.
111 Definition·raviartthomas4cube2d.hh:67107 Definition·raviartthomas0prism.hh:66
112 Dune::RT4Cube2DLocalFiniteElement::localCoefficients 
113 const·Traits::LocalCoefficientsType·&·localCoefficients()·const108 Dune::RT0PrismLocalFiniteElement::Traits
 109 LocalFiniteElementTraits<·RT0PrismLocalBasis<·D,·R·>,
 110 RT0PrismLocalCoefficients,·RT0PrismLocalInterpolation<·RT0PrismLocalBasis<·D,·R
 111 >·>·>·Traits
114 Definition·raviartthomas4cube2d.hh:56112 Definition·raviartthomas0prism.hh:33
115 Dune::RT4Cube2DLocalFiniteElement::localInterpolation113 Dune::RT0PrismLocalFiniteElement::localInterpolation
116 const·Traits::LocalInterpolationType·&·localInterpolation()·const114 const·Traits::LocalInterpolationType·&·localInterpolation()·const
117 Definition·raviartthomas4cube2d.hh:61115 Definition·raviartthomas0prism.hh:60
118 Dune::RT4Cube2DLocalFiniteElement::localBasis116 Dune::RT0PrismLocalFiniteElement::localBasis
119 const·Traits::LocalBasisType·&·localBasis()·const117 const·Traits::LocalBasisType·&·localBasis()·const
120 Definition·raviartthomas4cube2d.hh:51118 Definition·raviartthomas0prism.hh:50
121 Dune::RT4Cube2DLocalFiniteElement::RT4Cube2DLocalFiniteElement119 Dune::RT0PrismLocalFiniteElement::RT0PrismLocalFiniteElement
122 RT4Cube2DLocalFiniteElement(int·s) 
123 Make·set·number·s,·where·0·<=·s·<·16. 
124 Definition·raviartthomas4cube2d.hh:46 
125 Dune::RT4Cube2DLocalFiniteElement::RT4Cube2DLocalFiniteElement 
126 RT4Cube2DLocalFiniteElement()120 RT0PrismLocalFiniteElement()
127 Standard·constructor.121 Standard·constructor.
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 13 ····*·raviartthomas1cube3d
13 Classes·|·Namespaces14 Classes·|·Namespaces
 15 raviartthomas1cube3dlocalcoefficients.hh·File·Reference
 16 #include·<cstddef>
 17 #include·<vector>
 18 #include·"../../common/localkey.hh"
14 raviartthomas03d.hh·File·Reference 
15 #include·<dune/geometry/type.hh> 
16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
17 #include·"raviartthomas03d/raviartthomas03dlocalbasis.hh" 
18 #include·"raviartthomas03d/raviartthomas03dlocalcoefficients.hh" 
19 #include·"raviartthomas03d/raviartthomas03dlocalinterpolation.hh" 
20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
21 ·Classes20 ·Classes
22 class· Dune::RT03DLocalFiniteElement<_D,_R_> 
23  ······Zero·order·Raviart-Thomas·shape·functions·on·tetrahedra.·More...21 class· Dune::RT1Cube3DLocalCoefficients
 22  ······Layout·map·for·Raviart-Thomas-1·elements·on·quadrilaterals.·More...
24  23  
25 ·Namespaces24 ·Namespaces
26 namespace· Dune25 namespace· Dune
27  26  
  
28 ===============================================================================27 ===============================================================================
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8 <title>dune-localfunctions:·raviartthomas03d.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas1cube3dlocalcoefficients.hh·Source·File</title>
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14 raviartthomas03d.hh14 ····*·raviartthomas1cube3d
 15 raviartthomas1cube3dlocalcoefficients.hh
15 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALCOEFFICIENTS_HH
 23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALCOEFFICIENTS_HH
23 ·724 ·7
 25 ·8#include·<cstddef>
 26 ·9#include·<vector>
 27 ·10
 28 ·11#include·"../../common/localkey.hh"
 29 ·12
24 ·8#include·<dune/geometry/type.hh> 
25 ·9 
26 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
27 ·11#include·"raviartthomas03d/raviartthomas03dlocalbasis.hh" 
28 ·12#include·"raviartthomas03d/raviartthomas03dlocalcoefficients.hh" 
29 ·13#include·"raviartthomas03d/raviartthomas03dlocalinterpolation.hh" 
30 ·14 
31 ·15namespace·Dune30 ·13namespace·Dune
32 ·16{31 ·14{
33 ·17 
34 ·26·template<class·D,·class·R> 
35 27·class 
36 ·28·RT03DLocalFiniteElement32 ·15
 33 23·class·RT1Cube3DLocalCoefficients
 34 ·24·{
 35 ·25
 36 ·26·public:
 37 28·RT1Cube3DLocalCoefficients·()·:·li(36)
37 ·29·{38 ·29·{
38 ·30·public: 
39 ·31·typedef 
40 LocalFiniteElementTraits<RT03DLocalBasis<D,R>,RT03DLocalCoefficients, 
41 32·RT03DLocalInterpolation<RT03DLocalBasis<D,R>·>·>·Traits; 
42 ·33 
43 35·RT03DLocalFiniteElement·()39 ·30·for·(std::size_t·i·=·0;·i·<·6;·i++)
 40 ·31·{
 41 ·32·li[i]·=·LocalKey(i,1,0);
 42 ·33·li[i·+·6]·=·LocalKey(i,1,1);
 43 ·34·li[i·+·12]·=·LocalKey(i,1,2);
 44 ·35·li[i·+·18]·=·LocalKey(i,1,3);
44 ·36·{}45 ·36·}
45 ·3746 ·37
46 43·RT03DLocalFiniteElement·(std::bitset<4>·s)·: 
47 ·44·basis(s), 
48 ·45·interpolation(s)47 ·38·for·(std::size_t·i·=·0;·i·<·12;·i++)
 48 ·39·{
 49 ·40·li[i·+·24]·=·LocalKey(0,0,i);
 50 ·41·}
 51 ·42·}
 52 ·43
 53 45·std::size_t·size·()·const
49 ·46·{}54 ·46·{
50 ·47 
51 48·const·typename·Traits::LocalBasisType&·localBasis·()·const55 ·47·return·36;
 56 ·48·}
52 ·49·{57 ·49
 58 51·const·LocalKey&·localKey·(std::size_t·i)·const
53 ·50·return·basis; 
54 ·51·} 
55 ·52 
56 53·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
57 ·54·{59 ·52·{
58 ·55·return·coefficients;60 ·53·return·li[i];
59 ·56·}61 ·54·}
 62 ·55
60 ·57 
61 58·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
62 ·59·{ 
63 ·60·return·interpolation; 
64 ·61·} 
65 ·62 
66 63·unsigned·int·size·()·const 
67 ·64·{ 
68 ·65·return·4; 
69 ·66·} 
70 ·67 
71 68·static·constexpr·GeometryType·type·() 
72 ·69·{ 
73 ·70·return·GeometryTypes::tetrahedron; 
74 ·71·} 
75 ·72 
76 ·73·private:63 ·56·private:
 64 ·57·std::vector<LocalKey>·li;
 65 ·58·};
77 ·74·RT03DLocalBasis<D,R>·basis; 
78 ·75·RT03DLocalCoefficients·coefficients; 
79 ·76·RT03DLocalInterpolation<RT03DLocalBasis<D,R>·>·interpolation; 
80 ·77·}; 
81 ·78 
82 ·79}66 ·59}
 67 ·60#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALCOEFFICIENTS_HH
83 ·80 
84 ·81#endif 
85 raviartthomas03dlocalbasis.hh 
86 raviartthomas03dlocalinterpolation.hh 
87 raviartthomas03dlocalcoefficients.hh 
88 localfiniteelementtraits.hh 
89 Dune68 Dune
90 Definition·bdfmcube.hh:1869 Definition·bdfmcube.hh:18
 70 Dune::LocalKey
 71 Describe·position·of·one·degree·of·freedom.
 72 Definition·localkey.hh:23
 73 Dune::RT1Cube3DLocalCoefficients
 74 Layout·map·for·Raviart-Thomas-1·elements·on·quadrilaterals.
 75 Definition·raviartthomas1cube3dlocalcoefficients.hh:24
 76 Dune::RT1Cube3DLocalCoefficients::size
 77 std::size_t·size()·const
 78 number·of·coefficients
 79 Definition·raviartthomas1cube3dlocalcoefficients.hh:45
 80 Dune::RT1Cube3DLocalCoefficients::RT1Cube3DLocalCoefficients
 81 RT1Cube3DLocalCoefficients()
91 Dune::LocalFiniteElementTraits 
92 traits·helper·struct 
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14 Classes·|·Namespaces14 Classes·|·Namespaces
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16 #include·<cstddef>16 #include·<numeric>
17 #include·<vector>17 #include·<vector>
 18 #include·<dune/common/fmatrix.hh>
18 #include·"../../common/localkey.hh"19 #include·"../../common/localbasis.hh"
19 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
20 ·Classes21 ·Classes
21 class· Dune::RT4Cube2DLocalCoefficients 
22  ······Layout·map·for·Raviart-Thomas-4·elements·on·quadrilaterals.·More...22 class· Dune::RT1Cube3DLocalBasis<_D,_R_>
 23  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·hexahedron.
 24 ········More...
23  25  
24 ·Namespaces26 ·Namespaces
25 namespace· Dune27 namespace· Dune
26  28  
  
27 ===============================================================================29 ===============================================================================
28 ·····Generated·by [doxygen]·1.9.830 ·····Generated·by [doxygen]·1.9.8
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15 raviartthomas4cube2dlocalcoefficients.hh15 raviartthomas1cube3dlocalbasis.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALCOEFFICIENTS_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALBASIS_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALCOEFFICIENTS_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALBASIS_HH
24 ·724 ·7
25 ·8#include·<cstddef>25 ·8#include·<numeric>
26 ·9#include·<vector>26 ·9#include·<vector>
27 ·1027 ·10
28 ·11#include·"../../common/localkey.hh"28 ·11#include·<dune/common/fmatrix.hh>
29 ·1229 ·12
 30 ·13#include·"../../common/localbasis.hh"
 31 ·14
30 ·13namespace·Dune32 ·15namespace·Dune
31 ·14{33 ·16{
 34 ·26·template<class·D,·class·R>
 35 27·class·RT1Cube3DLocalBasis
32 22·class·RT4Cube2DLocalCoefficients 
33 ·23·{ 
34 ·24 
35 ·25·public: 
36 27·RT4Cube2DLocalCoefficients·()·:·li(60) 
37 ·28·{36 ·28·{
38 ·29·for·(std::size_t·i·=·0;·i·<·4;·i++)37 ·29
 38 ·30·public:
 39 ·31·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune::
 40 FieldVector<R,3>,
 41 32·Dune::FieldMatrix<R,3,3>·>·Traits;
 42 ·33
 43 39·RT1Cube3DLocalBasis·(unsigned·int·s·=·0)
39 ·30·{44 ·40·{
 45 ·41·sign0·=·sign1·=·sign2·=·sign3·=·sign4·=·sign5·=·1.0;
 46 ·42·if·(s·&·1)
40 ·31·li[5*i]·=·LocalKey(i,1,0); 
41 ·32·li[5*i·+·1]·=·LocalKey(i,1,1); 
42 ·33·li[5*i·+·2]·=·LocalKey(i,1,2); 
43 ·34·li[5*i·+·3]·=·LocalKey(i,1,3); 
44 ·35·li[5*i·+·4]·=·LocalKey(i,1,4); 
45 ·36·} 
46 ·37 
47 ·38·for·(std::size_t·i=0;·i<40;·i++) 
48 ·39·{47 ·43·{
49 ·40·li[20·+·i]·=·LocalKey(0,0,i);48 ·44·sign0·=·-1.0;
50 ·41·}49 ·45·}
 50 ·46·if·(s·&·2)
51 ·42·} 
52 ·43 
53 45·std::size_t·size·()·const 
54 ·46·{51 ·47·{
 52 ·48·sign1·=·-1.0;
 53 ·49·}
 54 ·50·if·(s·&·4)
 55 ·51·{
 56 ·52·sign2·=·-1.0;
 57 ·53·}
 58 ·54·if·(s·&·8)
 59 ·55·{
 60 ·56·sign3·=·-1.0;
 61 ·57·}
 62 ·58·if·(s·&·16)
 63 ·59·{
 64 ·60·sign4·=·-1.0;
 65 ·61·}
 66 ·62·if·(s·&·32)
 67 ·63·{
 68 ·64·sign5·=·-1.0;
 69 ·65·}
 70 ·66·}
 71 ·67
 72 69·unsigned·int·size·()·const
 73 ·70·{
55 ·47·return·60;74 ·71·return·36;
56 ·48·}75 ·72·}
 76 ·73
 77 80·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 78 ·81·std::vector<typename·Traits::RangeType>&·out)·const
 79 ·82·{
 80 ·83·out.resize(36);
 81 ·84
 82 ·85·out[0][0]·=·sign0*(-3.0*in[0]*in[0]·+·4.0*in[0]·-·1.0);
 83 ·86·out[0][1]·=·0.0;
 84 ·87·out[0][2]·=·0.0;
 85 ·88
 86 ·89·out[1][0]·=·sign1*(-2.0*in[0]·+·3.0*in[0]*in[0]);
 87 ·90·out[1][1]·=·0.0;
 88 ·91·out[1][2]·=·0.0;
 89 ·92
 90 ·93·out[2][0]·=·0.0;
 91 ·94·out[2][1]·=·sign2*(-3.0*in[1]*in[1]·+·4.0*in[1]·-·1.0);
 92 ·95·out[2][2]·=·0.0;
 93 ·96
 94 ·97·out[3][0]·=·0.0;
 95 ·98·out[3][1]·=·sign3*(3.0*in[1]*in[1]·-·2.0*in[1]);
 96 ·99·out[3][2]·=·0.0;
 97 ·100
 98 ·101·out[4][0]·=·0.0;
 99 ·102·out[4][1]·=·0.0;
 100 ·103·out[4][2]·=·sign4*(-3.0*in[2]*in[2]·+·4.0*in[2]·-·1.0);
 101 ·104
 102 ·105·out[5][0]·=·0.0;
 103 ·106·out[5][1]·=·0.0;
 104 ·107·out[5][2]·=·sign5*(3.0*in[2]*in[2]·-·2.0*in[2]);
 105 ·108
 106 ·109·out[6][0]·=·-18.0*in[0]*in[0]*in[1]·+·9.0*in[0]*in[0]·+·24.0*in[0]*in[1]·-
 107 6.0*in[1]·-12.0*in[0]·+·3.0;
 108 ·110·out[6][1]·=·0.0;
 109 ·111·out[6][2]·=·0.0;
 110 ·112
 111 ·113·out[7][0]·=·-18.0*in[0]*in[0]*in[1]·+·9.0*in[0]*in[0]·+·12.0*in[0]*in[1]·-
 112 6.0*in[0];
 113 ·114·out[7][1]·=·0.0;
 114 ·115·out[7][2]·=·0.0;
 115 ·116
 116 ·117·out[8][0]·=·0.0;
 117 ·118·out[8][1]·=·18.0*in[0]*in[1]*in[1]·-·9.0*in[1]*in[1]·-·24.0*in[0]*in[1]·+
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14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas4cube2dlocalinterpolation.hh·File·Reference15 raviartthomas1cube3dlocalinterpolation.hh·File·Reference
16 #include·<vector>16 #include·<vector>
17 #include·<dune/geometry/quadraturerules.hh>17 #include·<dune/geometry/quadraturerules.hh>
18 #include·<dune/localfunctions/common/localinterpolation.hh>18 #include·<dune/localfunctions/common/localinterpolation.hh>
19 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
20 ·Classes20 ·Classes
21 class· Dune::RT4Cube2DLocalInterpolation<_LB_>21 class· Dune::RT1Cube3DLocalInterpolation<_LB_>
22  ······Second·order·Raviart-Thomas·shape·functions·on·the·reference·triangle.22  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·hexahedron.
23 ········More...23 ········More...
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
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15 raviartthomas4cube2dlocalinterpolation.hh15 raviartthomas1cube3dlocalinterpolation.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALINTERPOLATION_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALINTERPOLATION_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALINTERPOLATION_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALINTERPOLATION_HH
24 ·724 ·7
25 ·8#include·<vector>25 ·8#include·<vector>
26 ·926 ·9
27 ·10#include·<dune/geometry/quadraturerules.hh>27 ·10#include·<dune/geometry/quadraturerules.hh>
28 ·11#include·<dune/localfunctions/common/localinterpolation.hh>28 ·11#include·<dune/localfunctions/common/localinterpolation.hh>
29 ·1229 ·12
30 ·13namespace·Dune30 ·13namespace·Dune
31 ·14{31 ·14{
32 ·15 
33 ·24·template<class·LB>32 ·23·template<class·LB>
34 25·class·RT4Cube2DLocalInterpolation33 24·class·RT1Cube3DLocalInterpolation
35 ·26·{34 ·25·{
36 ·2735 ·26
37 ·28·public:36 ·27·public:
38 ·2937 ·28
39 35·RT4Cube2DLocalInterpolation·(unsigned·int·s·=·0)38 34·RT1Cube3DLocalInterpolation·(std::bitset<6>·s·=·0)
40 ·36·{39 ·35·{
41 ·37·sign0·=·sign1·=·sign2·=·sign3·=·1.0; 
42 ·38·if·(s·&·1) 
43 ·39·{ 
44 ·40·sign0·*=·-1.0; 
45 ·41·} 
46 ·42·if·(s·&·2) 
47 ·43·{ 
48 ·44·sign1·*=·-1.0;40 ·36·for·(size_t·i=0;·i<6;·i++)
 41 ·37·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
 42 ·38
 43 ·39·n_[0]·=·{-1.0,·0.0,·0.0};
 44 ·40·n_[1]·=·{·1.0,·0.0,·0.0};
 45 ·41·n_[2]·=·{·0.0,·-1.0,·0.0};
 46 ·42·n_[3]·=·{·0.0,·1.0,·0.0};
 47 ·43·n_[4]·=·{·0.0,·0.0,·-1.0};
 48 ·44·n_[5]·=·{·0.0,·0.0,·1.0};
49 ·45·}49 ·45·}
 50 ·46
 51 ·55·template<class·F,·class·C>
50 ·46·if·(s·&·4) 
51 ·47·{ 
52 ·48·sign2·*=·-1.0; 
53 ·49·} 
54 ·50·if·(s·&·8) 
55 ·51·{ 
56 ·52·sign3·*=·-1.0; 
57 ·53·} 
58 ·54 
59 ·55·n0[0]·=·-1.0; 
60 ·56·n0[1]·=·0.0; 
61 ·57·n1[0]·=·1.0; 
62 ·58·n1[1]·=·0.0; 
63 ·59·n2[0]·=·0.0; 
64 ·60·n2[1]·=·-1.0; 
65 ·61·n3[0]·=·0.0; 
66 ·62·n3[1]·=·1.0; 
67 ·63·} 
68 ·64 
69 ·73·template<typename·F,·typename·C> 
70 74·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const52 56·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
71 ·75·{53 ·57·{
72 ·76·//·f·gives·v*outer·normal·at·a·point·on·the·edge!54 ·58·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
73 ·77·typedef·typename·LB::Traits::RangeFieldType·Scalar;55 ·59·typedef·typename·LB::Traits::RangeFieldType·Scalar;
74 ·78·typedef·typename·LB::Traits::DomainFieldType·Vector;56 ·60·typedef·typename·LB::Traits::DomainFieldType·Vector;
75 ·7957 ·61
76 ·80·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::58 ·62·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
77 DomainType>(ff);59 DomainType>(ff);
 60 ·63
 61 ·64·out.resize(36);
 62 ·65·fill(out.begin(),·out.end(),·0.0);
 63 ·66
 64 ·67·const·int·qOrder·=·3;
 65 ·68·const·auto&·rule1·=·QuadratureRules<Scalar,2>::rule(GeometryTypes::cube(2),
 66 qOrder);
 67 ·69
 68 ·70·for·(auto&&·qp·:·rule1)
 69 ·71·{
 70 ·72·Dune::FieldVector<Scalar,2>·qPos·=·qp.position();
 71 ·73·typename·LB::Traits::DomainType·localPos;
 72 ·74
 73 ·75·localPos·=·{0.0,·qPos[0],·qPos[1]};
 74 ·76·auto·y·=·f(localPos);
 75 ·77·out[0]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*qp.weight()*sign_
 76 [0];
 77 ·78·out[6]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*(2.0*qPos[0]·-
 78 1.0)*qp.weight();
 79 ·79·out[12]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*(2.0*qPos[1]·-
 80 1.0)*qp.weight();
 81 ·80·out[18]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*(2.0*qPos[0]·-
 82 1.0)*(2.0*qPos[1]·-·1.0)*qp.weight();
78 ·8183 ·81
 84 ·82·localPos·=·{1.0,·qPos[0],·qPos[1]};
 85 ·83·y·=·f(localPos);
 86 ·84·out[1]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1]·+·y[2]*n_[1][2])*qp.weight()*sign_
 87 [1];
 88 ·85·out[7]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1]·+·y[2]*n_[1][2])*(1.0·-·2.0*qPos
 89 [0])*qp.weight();
 90 ·86·out[13]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1]·+·y[2]*n_[1][2])*(1.0·-·2.0*qPos
 91 [1])*qp.weight();
 92 ·87·out[19]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1]·+·y[2]*n_[1][2])*(1.0·-·2.0*qPos
 93 [0])*(2.0*qPos[1]·-·1.0)*qp.weight();
 94 ·88
 95 ·89·localPos·=·{qPos[0],·0.0,·qPos[1]};
79 ·82·out.resize(60); 
80 ·83·fill(out.begin(),·out.end(),·0.0); 
81 ·84 
82 ·85·const·int·qOrder·=·12; 
83 ·86·const·QuadratureRule<Scalar,1>&·rule·=·QuadratureRules<Scalar,1>::rule 
84 (GeometryTypes::cube(1),·qOrder); 
85 ·87 
86 ·88·for·(typename·QuadratureRule<Scalar,1>::const_iterator·it=rule.begin(); 
87 it!=rule.end();·++it) 
88 ·89·{ 
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas4cube2d13 ····*·raviartthomas1cube2d
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas4cube2dlocalbasis.hh·File·Reference15 raviartthomas1cube2dlocalcoefficients.hh·File·Reference
 16 #include·<cstddef>
16 #include·<bitset> 
17 #include·<numeric> 
18 #include·<vector>17 #include·<vector>
19 #include·<dune/common/fmatrix.hh> 
20 #include·"../../common/localbasis.hh"18 #include·"../../common/localkey.hh"
21 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
22 ·Classes20 ·Classes
 21 class· Dune::RT1Cube2DLocalCoefficients
 22  ······Layout·map·for·Raviart-Thomas-1·elements·on·quadrilaterals.·More...
23 class· Dune::RT4Cube2DLocalBasis<_D,_R_> 
24  ······Second·order·Raviart-Thomas·shape·functions·on·the·reference 
25 ········quadrilateral.·More... 
26  23  
27 ·Namespaces24 ·Namespaces
28 namespace· Dune25 namespace· Dune
29  26  
  
30 ===============================================================================27 ===============================================================================
31 ·····Generated·by [doxygen]·1.9.828 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·raviartthomas4cube2dlocalbasis.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas1cube2dlocalcoefficients.hh·Source·File</title>
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomas4cube2d14 ····*·raviartthomas1cube2d
15 raviartthomas4cube2dlocalbasis.hh15 raviartthomas1cube2dlocalcoefficients.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALBASIS_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALCOEFFICIENTS_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALBASIS_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALCOEFFICIENTS_HH
24 ·724 ·7
25 ·8#include·<bitset>25 ·8#include·<cstddef>
26 ·9#include·<numeric> 
27 ·10#include·<vector>26 ·9#include·<vector>
 27 ·10
28 ·11 
29 ·12#include·<dune/common/fmatrix.hh> 
30 ·13 
31 ·14#include·"../../common/localbasis.hh"28 ·11#include·"../../common/localkey.hh"
 29 ·12
 30 ·13namespace·Dune
 31 ·14{
32 ·1532 ·15
33 ·16namespace·Dune 
34 ·17{ 
35 ·27·template<class·D,·class·R> 
36 28·class·RT4Cube2DLocalBasis33 23·class·RT1Cube2DLocalCoefficients
 34 ·24·{
 35 ·25
 36 ·26·public:
 37 28·RT1Cube2DLocalCoefficients·()·:·li(12)
37 ·29·{38 ·29·{
 39 ·30·for·(std::size_t·i=0;·i·<·4;·i++)
38 ·30 
39 ·31·public: 
40 ·32·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune:: 
41 FieldVector<R,2>, 
42 33·Dune::FieldMatrix<R,2,2>·>·Traits; 
43 ·34 
44 40·RT4Cube2DLocalBasis·(std::bitset<4>·s·=·0) 
45 ·41·{40 ·31·{
46 ·42·sign0·=·(s[0])·?·-1.0·:·1.0; 
47 ·43·sign1·=·(s[1])·?·-1.0·:·1.0; 
48 ·44·sign2·=·(s[2])·?·-1.0·:·1.0; 
49 ·45·sign3·=·(s[3])·?·-1.0·:·1.0;41 ·32·li[2*i]·=·LocalKey(i,1,0);
 42 ·33·li[2*i·+·1]·=·LocalKey(i,1,1);
 43 ·34·}
 44 ·35
 45 ·36·li[8]·=·LocalKey(0,0,0);
 46 ·37·li[9]·=·LocalKey(0,0,1);
 47 ·38·li[10]·=·LocalKey(0,0,2);
 48 ·39·li[11]·=·LocalKey(0,0,3);
 49 ·40·}
 50 ·41
 51 43·std::size_t·size·()·const
 52 ·44·{
 53 ·45·return·12;
50 ·46·}54 ·46·}
51 ·4755 ·47
52 49·unsigned·int·size·()·const56 49·const·LocalKey&·localKey·(std::size_t·i)·const
53 ·50·{57 ·50·{
54 ·51·return·60;58 ·51·return·li[i];
55 ·52·}59 ·52·}
56 ·5360 ·53
57 60·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
58 ·61·std::vector<typename·Traits::RangeType>&·out)·const 
59 ·62·{ 
60 ·63·out.resize(60); 
61 ·64 
62 ·65·auto·const&·x·=·in[0],·y·=·in[1]; 
63 ·66 
64 ·67·const·auto·l1_x·=·2*x·-·1; 
65 ·68·const·auto·l2_x·=·x*(6*x·-·6)·+·1; 
66 ·69·const·auto·l3_x·=·x*(x*(20*x·-·30)·+·12)·-·1; 
67 ·70·const·auto·l4_x·=·x*(x*(x*(70*x·-·140)·+·90)·-·20)·+·1; 
68 ·71·const·auto·l5_x·=·x*(x*(x*(x*(252*x·-·630)·+·560)·-·210)·+·30)·-·1; 
69 ·72·const·auto·l1_y·=·2*y·-·1; 
70 ·73·const·auto·l2_y·=·y*(6*y·-·6)·+·1; 
71 ·74·const·auto·l3_y·=·y*(y*(20*y·-·30)·+·12)·-·1; 
72 ·75·const·auto·l4_y·=·y*(y*(y*(70*y·-·140)·+·90)·-·20)·+·1; 
73 ·76·const·auto·l5_y·=·y*(y*(y*(y*(252*y·-·630)·+·560)·-·210)·+·30)·-·1; 
74 ·77 
75 ·78·out[0][0]=sign0*(0.5*(-l4_x)+0.5*l5_x); 
76 ·79·out[0][1]=0.0; 
77 ·80·out[1][0]=-(1.5)*l4_x*l1_y+1.5*l5_x*l1_y; 
78 ·81·out[1][1]=0.0; 
79 ·82·out[2][0]=sign0*(-(2.5)*l4_x*l2_y+2.5*l5_x*l2_y); 
80 ·83·out[2][1]=0.0; 
81 ·84·out[3][0]=-(3.5)*l4_x*l3_y+3.5*l5_x*l3_y; 
82 ·85·out[3][1]=0.0; 
83 ·86·out[4][0]=sign0*(-(4.5)*l4_x*l4_y+4.5*l5_x*l4_y); 
84 ·87·out[4][1]=0.0; 
85 ·88 
86 ·89·out[5][0]=sign1*(0.5*l4_x+0.5*l5_x); 
87 ·90·out[5][1]=0.0; 
88 ·91·out[6][0]=-(1.5)*l4_x*l1_y-1.5*l5_x*l1_y; 
89 ·92·out[6][1]=0.0; 
90 ·93·out[7][0]=sign1*(2.5*l4_x*l2_y+2.5*l5_x*l2_y); 
91 ·94·out[7][1]=0.0; 
92 ·95·out[8][0]=-(3.5)*l4_x*l3_y-3.5*l5_x*l3_y; 
93 ·96·out[8][1]=0.0; 
94 ·97·out[9][0]=sign1*(4.5*l4_x*l4_y+4.5*l5_x*l4_y); 
95 ·98·out[9][1]=0.0; 
96 ·99 
97 ·100·out[10][0]=0.0; 
98 ·101·out[10][1]=sign2*(0.5*(-l4_y)+0.5*l5_y); 
99 ·102·out[11][0]=0.0; 
100 ·103·out[11][1]=1.5*l1_x*l4_y-1.5*l1_x*l5_y; 
101 ·104·out[12][0]=0.0; 
102 ·105·out[12][1]=sign2*(-(2.5)*l2_x*l4_y+2.5*l2_x*l5_y); 
103 ·106·out[13][0]=0.0; 
104 ·107·out[13][1]=3.5*l3_x*l4_y-3.5*l3_x*l5_y; 
105 ·108·out[14][0]=0.0; 
106 ·109·out[14][1]=sign2*(-(4.5)*l4_x*l4_y+4.5*l4_x*l5_y); 
107 ·110 
108 ·111·out[15][0]=0.0; 
109 ·112·out[15][1]=sign3*(0.5*l4_y+0.5*l5_y); 
110 ·113·out[16][0]=0.0; 
111 ·114·out[16][1]=1.5*l1_x*l4_y+1.5*l1_x*l5_y; 
112 ·115·out[17][0]=0.0; 
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18 #include·<vector>17 #include·<vector>
19 #include·<dune/common/fmatrix.hh>18 #include·<dune/common/fmatrix.hh>
 19 #include·"../../common/localbasis.hh"
20 #include·<dune/localfunctions/common/localbasis.hh> 
21 #include·<dune/localfunctions/common/localkey.hh> 
22 #include·<dune/localfunctions/common/localinterpolation.hh> 
23 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
24 ·Classes21 ·Classes
25 class· Dune::RT0Cube2DLocalBasis<_D,_R_>22 class· Dune::RT1Cube2DLocalBasis<_D,_R_>
26  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference23  ······First·order·Raviart-Thomas·shape·functions·on·the·reference
27 ········quadrilateral.·More...24 ········quadrilateral.·More...
28  25  
29 class· Dune::RT0Cube2DLocalInterpolation<_LB_> 
30  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference 
31 ········quadrilateral.·More... 
32   
33 class· Dune::RT0Cube2DLocalCoefficients 
34  ······Layout·map·for·RT0·elements·on·quadrilaterals.·More... 
35   
36 ·Namespaces26 ·Namespaces
37 namespace· Dune27 namespace· Dune
38  28  
  
39 ===============================================================================29 ===============================================================================
40 ·····Generated·by [doxygen]·1.9.830 ·····Generated·by [doxygen]·1.9.8
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Offset 8, 272 lines modifiedOffset 8, 220 lines modified
  
8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomas0cube2d14 ····*·raviartthomas1cube2d
15 raviartthomas0cube2dall.hh15 raviartthomas1cube2dlocalbasis.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE2D_ALL_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALBASIS_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE2D_ALL_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALBASIS_HH
24 ·724 ·7
25 ·8#include·<cstddef> 
26 ·9#include·<numeric>25 ·8#include·<numeric>
27 ·10#include·<vector>26 ·9#include·<vector>
28 ·1127 ·10
29 ·12#include·<dune/common/fmatrix.hh>28 ·11#include·<dune/common/fmatrix.hh>
 29 ·12
 30 ·13#include·"../../common/localbasis.hh"
 31 ·14
30 ·13 
31 ·14#include·<dune/localfunctions/common/localbasis.hh> 
32 ·15#include·<dune/localfunctions/common/localkey.hh> 
33 ·16#include·<dune/localfunctions/common/localinterpolation.hh> 
34 ·17 
35 ·18namespace·Dune32 ·15namespace·Dune
36 ·19{33 ·16{
37 ·28·template<class·D,·class·R>34 ·26·template<class·D,·class·R>
38 29·class·RT0Cube2DLocalBasis35 27·class·RT1Cube2DLocalBasis
39 ·30·{36 ·28·{
 37 ·29
40 ·31·public:38 ·30·public:
41 ·32·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::39 ·31·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
42 FieldVector<R,2>,40 FieldVector<R,2>,
43 33·Dune::FieldMatrix<R,2,2>·>·Traits;41 32·Dune::FieldMatrix<R,2,2>·>·Traits;
44 ·3442 ·33
45 36·RT0Cube2DLocalBasis·(std::bitset<4>·s·=·0)43 39·RT1Cube2DLocalBasis·(std::bitset<4>·s·=·0)
46 ·37·{44 ·40·{
47 ·38·for·(int·i=0;·i<4;·i++)45 ·41·for·(size_t·i=0;·i<4;·i++)
48 ·39·sign_[i]·=·s[i]·?·-1.0·:·1.0;46 ·42·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
49 ·40·}47 ·43·}
50 ·4148 ·44
51 43·unsigned·int·size·()·const49 46·unsigned·int·size·()·const
52 ·44·{50 ·47·{
53 ·45·return·4;51 ·48·return·12;
54 ·46·}52 ·49·}
55 ·4753 ·50
56 49·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,54 57·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
57 ·50·std::vector<typename·Traits::RangeType>&·out)·const55 ·58·std::vector<typename·Traits::RangeType>&·out)·const
58 ·51·{56 ·59·{
59 ·52·out.resize(4); 
60 ·53·out[0]·=·{sign_[0]*(in[0]-1.0),·0.0}; 
61 ·54·out[1]·=·{sign_[1]*(in[0]),·0.0}; 
62 ·55·out[2]·=·{0.0,·sign_[2]*(in[1]-1.0)}; 
63 ·56·out[3]·=·{0.0,·sign_[3]*(in[1])}; 
64 ·57·} 
65 ·58 
66 ·60·inline·void 
67 61·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position 
68 ·62·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value 
69 ·63·{ 
70 ·64·out.resize(4);57 ·60·out.resize(12);
71 ·65·out[0][0]·=·{sign_[0],·0};58 ·61
 59 ·62·out[0][0]·=·sign_[0]*(-1.0·+·4.0*in[0]-3*in[0]*in[0]);
72 ·66·out[0][1]·=·{0,·0};60 ·63·out[0][1]·=·0.0;
73 ·67 
74 ·68·out[1][0]·=·{sign_[1],·0};61 ·64·out[1][0]·=·3.0·-·12.0*in[0]·-·6.0*in[1]·+·24.0*in[0]*in[1]+9*in[0]*in[0]·-
 62 18.0*in[0]*in[0]*in[1];
75 ·69·out[1][1]·=·{0,·0};63 ·65·out[1][1]·=·0.0;
76 ·7064 ·66·out[2][0]·=·sign_[1]*(-2.0*in[0]·+·3.0*in[0]*in[0]);
77 ·71·out[2][0]·=·{0,·0};65 ·67·out[2][1]·=·0.0;
78 ·72·out[2][1]·=·{0,·sign_[2]}; 
79 ·7366 ·68·out[3][0]·=·-6.0*in[0]·+·12.0*in[0]*in[1]·+·9.0*in[0]*in[0]·-·18.0*in[0]*in
 67 [0]*in[1];
 68 ·69·out[3][1]·=·0.0;
 69 ·70·out[4][0]·=·0.0;
 70 ·71·out[4][1]·=·sign_[2]*(-1.0·+·4.0*in[1]·-·3.0*in[1]*in[1]);
 71 ·72·out[5][0]·=·0.0;
 72 ·73·out[5][1]·=·-3.0·+·6.0*in[0]·+·12.0*in[1]·-·24.0*in[0]*in[1]·-·9.0*in[1]*in
 73 [1]·+·18.0*in[0]*in[1]*in[1];
80 ·74·out[3][0]·=·{0,·0};74 ·74·out[6][0]·=·0.0;
81 ·75·out[3][1]·=·{0,·sign_[3]};75 ·75·out[6][1]·=·sign_[3]*(-2.0*in[1]·+·3.0*in[1]*in[1]);
 76 ·76·out[7][0]·=·0.0;
 77 ·77·out[7][1]·=·6.0*in[1]·-·12.0*in[0]*in[1]·-·9.0*in[1]*in[1]·+·18.0*in[0]*in
 78 [1]*in[1];
 79 ·78·out[8][0]·=·24.0*in[0]·-·36.0*in[0]*in[1]·-·24.0*in[0]*in[0]·+·36.0*in
 80 [0]*in[0]*in[1];
 81 ·79·out[8][1]·=·0.0;
 82 ·80·out[9][0]·=·0.0;
 83 ·81·out[9][1]·=·24.0*in[1]·-·36.0*in[0]*in[1]·-·24.0*in[1]*in[1]·+·36.0*in
 84 [0]*in[1]*in[1];
 85 ·82·out[10][0]·=·-36.0*in[0]·+·72.0*in[0]*in[1]·+·36.0*in[0]*in[0]·-·72.0*in
 86 [0]*in[0]*in[1];
 87 ·83·out[10][1]·=·0.0;
 88 ·84·out[11][0]·=·0.0;
 89 ·85·out[11][1]·=·-36.0*in[1]·+·72.0*in[0]*in[1]·+·36*in[1]*in[1]·-·72.0*in
 90 [0]*in[1]*in[1];
82 ·76·}91 ·86·}
 92 ·87
 93 94·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,
83 ·77 
84 79·void·partial·(const·std::array<unsigned·int,·2>&·order, 
85 ·80·const·typename·Traits::DomainType&·in,·//·position 
86 ·81·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value94 ·95·std::vector<typename·Traits::JacobianType>&·out)·const
 95 ·96·{
 96 ·97·out.resize(12);
 97 ·98
 98 ·99·out[0][0][0]·=·sign_[0]*(4.0·-·6.0*in[0]);
 99 ·100·out[0][0][1]·=·0.0;
 100 ·101·out[0][1][0]·=·0.0;
 101 ·102·out[0][1][1]·=·0.0;
 102 ·103
 103 ·104·out[1][0][0]·=·-12.0·+·24.0*in[1]·+·18.0*in[0]·-·36.0*in[0]*in[1];
 104 ·105·out[1][0][1]·=·-6·+·24.0*in[0]·-·18.0*in[0]*in[0];
 105 ·106·out[1][1][0]·=·0.0;
 106 ·107·out[1][1][1]·=·0.0;
 107 ·108
 108 ·109·out[2][0][0]·=·sign_[1]*(-2.0·+·6.0*in[0]);
 109 ·110·out[2][0][1]·=·0.0;
 110 ·111·out[2][1][0]·=·0.0;
 111 ·112·out[2][1][1]·=·0.0;
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11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
 13 ····*·raviartthomas1cube2d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 raviartthomas12d.hh·File·Reference15 raviartthomas1cube2dlocalinterpolation.hh·File·Reference
 16 #include·<vector>
15 #include·<dune/geometry/type.hh>17 #include·<dune/geometry/quadraturerules.hh>
 18 #include·<dune/localfunctions/common/localinterpolation.hh>
16 #include·"../common/localfiniteelementtraits.hh" 
17 #include·"raviartthomas12d/raviartthomas12dlocalbasis.hh" 
18 #include·"raviartthomas12d/raviartthomas12dlocalcoefficients.hh" 
19 #include·"raviartthomas12d/raviartthomas12dlocalinterpolation.hh" 
20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
21 ·Classes20 ·Classes
22 class· Dune::RT12DLocalFiniteElement<_D,_R_>21 class· Dune::RT1Cube2DLocalInterpolation<_LB_>
23  ······First·order·Raviart-Thomas·shape·functions·on·triangles.·More...22  ······First·order·Raviart-Thomas·shape·functions·on·the·reference
 23 ········quadrilateral.·More...
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·raviartthomas12d.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas1cube2dlocalinterpolation.hh·Source·File</title>
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12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 raviartthomas12d.hh14 ····*·raviartthomas1cube2d
 15 raviartthomas1cube2dlocalinterpolation.hh
15 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALFINITEELEMENT_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALINTERPOLATION_HH
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALFINITEELEMENT_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALINTERPOLATION_HH
23 ·724 ·7
24 ·8#include·<dune/geometry/type.hh>25 ·8#include·<vector>
25 ·926 ·9
 27 ·10#include·<dune/geometry/quadraturerules.hh>
 28 ·11#include·<dune/localfunctions/common/localinterpolation.hh>
 29 ·12
 30 ·13
26 ·10#include·"../common/localfiniteelementtraits.hh" 
27 ·11#include·"raviartthomas12d/raviartthomas12dlocalbasis.hh" 
28 ·12#include·"raviartthomas12d/raviartthomas12dlocalcoefficients.hh" 
29 ·13#include·"raviartthomas12d/raviartthomas12dlocalinterpolation.hh" 
30 ·14 
31 ·15namespace·Dune31 ·14namespace·Dune
 32 ·15{
32 ·16{33 ·16
33 ·1734 ·25·template<class·LB>
 35 26·class·RT1Cube2DLocalInterpolation
 36 ·27·{
 37 ·28
 38 ·29·public:
 39 35·RT1Cube2DLocalInterpolation·(std::bitset<4>·s·=·0)
 40 ·36·{
 41 ·37·for·(size_t·i=0;·i<4;·i++)
 42 ·38·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
 43 ·39
 44 ·40·n_[0]·=·{-1.0,·0.0};
 45 ·41·n_[1]·=·{·1.0,·0.0};
 46 ·42·n_[2]·=·{·0.0,·-1.0};
 47 ·43·n_[3]·=·{·0.0,·1.0};
 48 ·44·}
 49 ·45
34 ·26·template<class·D,·class·R>50 ·54·template<class·F,·class·C>
 51 55·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
35 27·class 
36 ·28·RT12DLocalFiniteElement 
37 ·29·{ 
38 ·30 
39 ·31·public: 
40 ·32·typedef 
41 LocalFiniteElementTraits<RT12DLocalBasis<D,R>,RT12DLocalCoefficients, 
42 33·RT12DLocalInterpolation<RT12DLocalBasis<D,R>·>·>·Traits; 
43 ·34 
44 36·RT12DLocalFiniteElement·() 
45 ·37·{} 
46 ·38 
47 44·RT12DLocalFiniteElement·(int·s)·: 
48 ·45·basis(s), 
49 ·46·interpolation(s) 
50 ·47·{} 
51 ·48 
52 49·const·typename·Traits::LocalBasisType&·localBasis·()·const 
53 ·50·{52 ·56·{
54 ·51·return·basis; 
55 ·52·} 
56 ·53 
57 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
58 ·55·{ 
59 ·56·return·coefficients; 
60 ·57·} 
61 ·58 
62 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const53 ·57·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 54 ·58·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 55 ·59·typedef·typename·LB::Traits::DomainFieldType·Vector;
 56 ·60
 57 ·61·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 58 DomainType>(ff);
 59 ·62
 60 ·63·out.resize(12);
 61 ·64·fill(out.begin(),·out.end(),·0.0);
 62 ·65
 63 ·66·const·int·qOrder·=·3;
 64 ·67·const·auto&·rule1·=·QuadratureRules<Scalar,1>::rule(GeometryTypes::cube(1),
 65 qOrder);
 66 ·68
 67 ·69·for·(auto&&·qp·:·rule1)
63 ·60·{68 ·70·{
64 ·61·return·interpolation;69 ·71·Scalar·qPos·=·qp.position();
 70 ·72·typename·LB::Traits::DomainType·localPos·=·{0.0,·qPos};
 71 ·73
 72 ·74·auto·y·=·f(localPos);
 73 ·75·out[0]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*qp.weight()*sign_[0];
 74 ·76·out[1]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*(2.0*qPos·-·1.0)*qp.weight();
 75 ·77
 76 ·78·localPos·=·{1.0,·qPos};
 77 ·79·y·=·f(localPos);
 78 ·80·out[2]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*qp.weight()*sign_[1];
 79 ·81·out[3]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*(1.0·-·2.0*qPos)*qp.weight();
 80 ·82
 81 ·83·localPos·=·{qPos,·0.0};
 82 ·84·y·=·f(localPos);
 83 ·85·out[4]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*qp.weight()*sign_[2];
 84 ·86·out[5]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*(1.0·-·2.0*qPos)*qp.weight();
 85 ·87
 86 ·88·localPos·=·{qPos,·1.0};
 87 ·89·y·=·f(localPos);
 88 ·90·out[6]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*qp.weight()*sign_[3];
 89 ·91·out[7]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*(2.0*qPos·-·1.0)*qp.weight();
65 ·62·}90 ·92·}
 91 ·93
 92 ·94·const·auto&·rule2·=·QuadratureRules<Vector,2>::rule(GeometryTypes::cube(2),
 93 qOrder);
 94 ·95
 95 ·96·for·(auto&&·qp·:·rule2)
66 ·63 
67 65·unsigned·int·size·()·const 
68 ·66·{ 
69 ·67·return·basis.size(); 
70 ·68·} 
71 ·69 
72 70·static·constexpr·GeometryType·type·() 
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
 13 ····*·raviartthomas03d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 raviartthomas3cube2d.hh·File·Reference15 raviartthomas03dlocalbasis.hh·File·Reference
 16 #include·<numeric>
 17 #include·<dune/common/fmatrix.hh>
 18 #include·<dune/localfunctions/common/localbasis.hh>
15 #include·<dune/geometry/type.hh> 
16 #include·"../common/localfiniteelementtraits.hh" 
17 #include·"raviartthomas3cube2d/raviartthomas3cube2dlocalbasis.hh" 
18 #include·"raviartthomas3cube2d/raviartthomas3cube2dlocalcoefficients.hh" 
19 #include·"raviartthomas3cube2d/raviartthomas3cube2dlocalinterpolation.hh" 
20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
21 ·Classes20 ·Classes
22 class· Dune::RT3Cube2DLocalFiniteElement<_D,_R_>21 class· Dune::RT03DLocalBasis<_D,_R_>
23  ······Second·order·Raviart-Thomas·shape·functions·on·cubes.·More...22  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference
 23 ········tetrahedron.·More...
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·raviartthomas3cube2d.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas03dlocalbasis.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 raviartthomas3cube2d.hh14 ····*·raviartthomas03d
 15 raviartthomas03dlocalbasis.hh
15 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALFINITEELEMENT_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALFINITEELEMENT_HH22 ·5#ifndef
 23 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALBASIS_HH
 24 ·6#define
 25 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALBASIS_HH
23 ·726 ·7
24 ·8#include·<dune/geometry/type.hh>27 ·8#include·<numeric>
25 ·928 ·9
 29 ·10#include·<dune/common/fmatrix.hh>
 30 ·11
 31 ·12#include·<dune/localfunctions/common/localbasis.hh>
 32 ·13
26 ·10#include·"../common/localfiniteelementtraits.hh" 
27 ·11#include·"raviartthomas3cube2d/raviartthomas3cube2dlocalbasis.hh" 
28 ·12#include·"raviartthomas3cube2d/raviartthomas3cube2dlocalcoefficients.hh" 
29 ·13#include·"raviartthomas3cube2d/raviartthomas3cube2dlocalinterpolation.hh" 
30 ·14 
31 ·15namespace·Dune33 ·14namespace·Dune
32 ·16{34 ·15{
33 ·27·template<class·D,·class·R>35 ·24·template<class·D,·class·R>
34 28·class·RT3Cube2DLocalFiniteElement36 25·class·RT03DLocalBasis
35 ·29·{37 ·26·{
 38 ·27·public:
 39 ·28·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune::
 40 FieldVector<R,3>,
 41 29·Dune::FieldMatrix<R,3,3>·>·Traits;
36 ·3042 ·30
 43 32·RT03DLocalBasis·(std::bitset<4>·s·=·0)
 44 ·33·{
 45 ·34·for·(int·i=0;·i<4;·i++)
 46 ·35·sign_[i]·=·s[i]·?·-1.0·:·1.0;
37 ·31·public: 
38 ·32·typedef·LocalFiniteElementTraits< 
39 ·33·RT3Cube2DLocalBasis<D,R>, 
40 ·34·RT3Cube2DLocalCoefficients, 
41 35·RT3Cube2DLocalInterpolation<RT3Cube2DLocalBasis<D,R>·>·>·Traits; 
42 ·3647 ·36·}
43 38·RT3Cube2DLocalFiniteElement·() 
44 ·39·{}48 ·37
 49 39·unsigned·int·size·()·const
45 ·4050 ·40·{
46 46·RT3Cube2DLocalFiniteElement·(int·s)·: 
47 ·47·basis(s), 
48 ·48·interpolation(s) 
49 ·49·{} 
50 ·50 
51 51·const·typename·Traits::LocalBasisType&·localBasis·()·const 
52 ·52·{ 
53 ·53·return·basis;51 ·41·return·4;
 52 ·42·}
 53 ·43
 54 45·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 55 ·46·std::vector<typename·Traits::RangeType>&·out)·const
 56 ·47·{
 57 ·48·out.resize(4);
 58 ·49·auto·c·=·std::sqrt(2.0);
 59 ·50·out[0]·=·{sign_[0]*c*·in[0],·sign_[0]*c*·in[1],·sign_[0]*c*(in[2]-D(1))};
 60 ·51·out[1]·=·{sign_[1]*c*·in[0],·sign_[1]*c*(in[1]-D(1)),·sign_[1]*c*·in[2]·};
 61 ·52·out[2]·=·{sign_[2]*c*(in[0]-D(1)),·sign_[2]*c*·in[1],·sign_[2]*c*·in[2]·};
 62 ·53·out[3]·=·{sign_[3]*c*·in[0],·sign_[3]*c*·in[1],·sign_[3]*c*·in[2]·};
54 ·54·}63 ·54·}
55 ·5564 ·55
 65 ·57·inline·void
 66 58·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
 67 ·59·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
56 56·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
57 ·57·{ 
58 ·58·return·coefficients; 
59 ·59·} 
60 ·60 
61 61·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
62 ·62·{68 ·60·{
 69 ·61·out.resize(4);
 70 ·62·for·(int·i=0;·i<4;·i++)
63 ·63·return·interpolation; 
64 ·64·} 
65 ·65 
66 67·unsigned·int·size·()·const 
67 ·68·{71 ·63·{
68 ·69·return·basis.size();72 ·64·auto·c·=·std::sqrt(2.0);
 73 ·65·out[i][0]·=·{c*sign_[i],·0,·0};
 74 ·66·out[i][1]·=·{·0,c*sign_[i],·0};
 75 ·67·out[i][2]·=·{·0,·0,c*sign_[i]};
 76 ·68·}
 77 ·69·}
69 ·70·}78 ·70
70 ·71 
71 72·static·constexpr·GeometryType·type·()79 72·void·partial·(const·std::array<unsigned·int,·3>&·order,
 80 ·73·const·typename·Traits::DomainType&·in,·//·position
 81 ·74·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value
72 ·73·{82 ·75·{
 83 ·76·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0);
 84 ·77·if·(totalOrder·==·0)·{
 85 ·78·evaluateFunction(in,·out);
 86 ·79·}·else·if·(totalOrder·==·1)·{
 87 ·80·auto·const·direction·=·std::distance(order.begin(),·std::find(order.begin
 88 (),·order.end(),·1));
 89 ·81·out.resize(size());
73 ·74·return·GeometryTypes::quadrilateral; 
74 ·75·} 
75 ·76 
76 ·77·private: 
77 ·78·RT3Cube2DLocalBasis<D,R>·basis; 
78 ·79·RT3Cube2DLocalCoefficients·coefficients; 
79 ·80·RT3Cube2DLocalInterpolation<RT3Cube2DLocalBasis<D,R>·>·interpolation; 
80 ·81·}; 
81 ·82}90 ·82
82 ·83#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALFINITEELEMENT_HH 
83 raviartthomas3cube2dlocalbasis.hh 
84 raviartthomas3cube2dlocalinterpolation.hh 
85 raviartthomas3cube2dlocalcoefficients.hh91 ·83·for·(int·i=0;·i<size();·i++)
 92 ·84·{
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8 <title>dune-localfunctions:·raviartthomascube.hh·File·Reference</title>8 <title>dune-localfunctions:·raviartthomas03dlocalcoefficients.hh·File·Reference</title>
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7 Loading...7 Loading...
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
 13 ····*·raviartthomas03d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 raviartthomascube.hh·File·Reference15 raviartthomas03dlocalcoefficients.hh·File·Reference
 16 #include·<cstddef>
 17 #include·<iostream>
 18 #include·<vector>
 19 #include·<dune/localfunctions/common/localkey.hh>
15 Convenience·header·that·includes·all·available·Raviart-Thomas·local·finite 
16 elements·for·cubes.·More... 
17 #include·"raviartthomas0cube2d.hh" 
18 #include·"raviartthomas0cube3d.hh" 
19 #include·"raviartthomas1cube2d.hh" 
20 #include·"raviartthomas1cube3d.hh" 
21 #include·"raviartthomas2cube2d.hh" 
22 #include·"raviartthomas3cube2d.hh" 
23 #include·"raviartthomas4cube2d.hh" 
24 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
25 ·Classes21 ·Classes
 22 class· Dune::RT03DLocalCoefficients
 23  ······Layout·map·for·RT0·elements.·More...
26 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_2,_0_> 
27  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and 
28 ········order·0.·More... 
29   
30 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_2,_1_> 
31  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and 
32 ········order·1.·More... 
33   
34 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_2,_2_> 
35  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and 
36 ········order·2.·More... 
37   
38 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_2,_3_> 
39  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and 
40 ········order·3.·More... 
41   
42 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_2,_4_> 
43  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and 
44 ········order·4.·More... 
45   
46 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_3,_0_> 
47  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·3·and 
48 ········order·0.·More... 
49   
50 class· Dune::RaviartThomasCubeLocalFiniteElement<_D,_R,_3,_1_> 
51  ······Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·3·and 
52 ········order·1.·More... 
53  24  
54 ·Namespaces25 ·Namespaces
55 namespace· Dune26 namespace· Dune
56  27  
57 *****·Detailed·Description·***** 
58 Convenience·header·that·includes·all·available·Raviart-Thomas·local·finite 
59 elements·for·cubes. 
  
60 ===============================================================================28 ===============================================================================
61 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 raviartthomascube.hh14 ····*·raviartthomas03d
 15 raviartthomas03dlocalcoefficients.hh
15 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_CUBE_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_CUBE_HH22 ·5#ifndef
 23 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALCOEFFICIENTS_HH
 24 ·6#define
 25 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALCOEFFICIENTS_HH
23 ·726 ·7
 27 ·8#include·<cstddef>
 28 ·9#include·<iostream>
 29 ·10#include·<vector>
 30 ·11
 31 ·12#include·<dune/localfunctions/common/localkey.hh>
 32 ·13
24 ·8#include·"raviartthomas0cube2d.hh" 
25 ·9#include·"raviartthomas0cube3d.hh" 
26 ·10#include·"raviartthomas1cube2d.hh" 
27 ·11#include·"raviartthomas1cube3d.hh" 
28 ·12#include·"raviartthomas2cube2d.hh" 
29 ·13#include·"raviartthomas3cube2d.hh" 
30 ·14#include·"raviartthomas4cube2d.hh" 
31 ·15 
32 ·22namespace·Dune33 ·14namespace·Dune
 34 ·15{
33 ·23{ 
34 ·39·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order> 
35 40·class·RaviartThomasCubeLocalFiniteElement; 
36 ·41 
37 ·45·template<class·D,·class·R> 
38 46·class·RaviartThomasCubeLocalFiniteElement<D,·R,·2,·0> 
39 ·47·:·public·RT0Cube2DLocalFiniteElement<D,·R> 
40 ·48·{ 
41 ·49·public: 
42 50·RaviartThomasCubeLocalFiniteElement() 
43 ·51·:·RT0Cube2DLocalFiniteElement<D,·R>::RT0Cube2DLocalFiniteElement() 
44 ·52·{} 
45 ·53 
46 54·RaviartThomasCubeLocalFiniteElement(int·s) 
47 ·55·:·RT0Cube2DLocalFiniteElement<D,·R>::RT0Cube2DLocalFiniteElement(s) 
48 ·56·{} 
49 ·57·}; 
50 ·58 
51 ·62·template<class·D,·class·R> 
52 63·class·RaviartThomasCubeLocalFiniteElement<D,·R,·2,·1> 
53 ·64·:·public·RT1Cube2DLocalFiniteElement<D,·R> 
54 ·65·{ 
55 ·66·public: 
56 67·RaviartThomasCubeLocalFiniteElement() 
57 ·68·:·RT1Cube2DLocalFiniteElement<D,·R>::RT1Cube2DLocalFiniteElement() 
58 ·69·{} 
59 ·70 
60 71·RaviartThomasCubeLocalFiniteElement(int·s) 
61 ·72·:·RT1Cube2DLocalFiniteElement<D,·R>::RT1Cube2DLocalFiniteElement(s) 
62 ·73·{} 
63 ·74·}; 
64 ·75 
65 ·79·template<class·D,·class·R> 
66 80·class·RaviartThomasCubeLocalFiniteElement<D,·R,·2,·2> 
67 ·81·:·public·RT2Cube2DLocalFiniteElement<D,·R> 
68 ·82·{ 
69 ·83·public: 
70 84·RaviartThomasCubeLocalFiniteElement() 
71 ·85·:·RT2Cube2DLocalFiniteElement<D,·R>::RT2Cube2DLocalFiniteElement() 
72 ·86·{} 
73 ·87 
74 88·RaviartThomasCubeLocalFiniteElement(int·s) 
75 ·89·:·RT2Cube2DLocalFiniteElement<D,·R>::RT2Cube2DLocalFiniteElement(s) 
76 ·90·{} 
77 ·91·}; 
78 ·92 
79 ·96·template<class·D,·class·R> 
80 97·class·RaviartThomasCubeLocalFiniteElement<D,·R,·2,·3> 
81 ·98·:·public·RT3Cube2DLocalFiniteElement<D,·R> 
82 ·99·{ 
83 ·100·public: 
84 101·RaviartThomasCubeLocalFiniteElement() 
85 ·102·:·RT3Cube2DLocalFiniteElement<D,·R>::RT3Cube2DLocalFiniteElement() 
86 ·103·{} 
87 ·104 
88 105·RaviartThomasCubeLocalFiniteElement(int·s) 
89 ·106·:·RT3Cube2DLocalFiniteElement<D,·R>::RT3Cube2DLocalFiniteElement(s) 
90 ·107·{} 
91 ·108·}; 
92 ·109 
93 ·113·template<class·D,·class·R> 
94 114·class·RaviartThomasCubeLocalFiniteElement<D,·R,·2,·4> 
95 ·115·:·public·RT4Cube2DLocalFiniteElement<D,·R> 
96 ·116·{ 
97 ·117·public: 
98 118·RaviartThomasCubeLocalFiniteElement() 
99 ·119·:·RT4Cube2DLocalFiniteElement<D,·R>::RT4Cube2DLocalFiniteElement() 
100 ·120·{} 
101 ·121 
102 122·RaviartThomasCubeLocalFiniteElement(int·s) 
103 ·123·:·RT4Cube2DLocalFiniteElement<D,·R>::RT4Cube2DLocalFiniteElement(s) 
104 ·124·{} 
105 ·125·}; 
106 ·12635 ·16
 36 23·class·RT03DLocalCoefficients
 37 ·24·{
107 ·130·template<class·D,·class·R> 
108 131·class·RaviartThomasCubeLocalFiniteElement<D,·R,·3,·0> 
109 ·132·:·public·RT0Cube3DLocalFiniteElement<D,·R> 
110 ·133·{ 
111 ·134·public: 
112 135·RaviartThomasCubeLocalFiniteElement() 
113 ·136·:·RT0Cube3DLocalFiniteElement<D,·R>::RT0Cube3DLocalFiniteElement() 
114 ·137·{} 
115 ·138 
116 139·RaviartThomasCubeLocalFiniteElement(int·s) 
117 ·140·:·RT0Cube3DLocalFiniteElement<D,·R>::RT0Cube3DLocalFiniteElement(s) 
118 ·141·{} 
119 ·142·}; 
120 ·143 
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12 ····*·raviartthomas12 ····*·raviartthomas
 13 ····*·raviartthomas03d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 raviartthomas1cube3d.hh·File·Reference 
15 #include·<dune/geometry/type.hh> 
16 #include·"../common/localfiniteelementtraits.hh" 
17 #include·"raviartthomas1cube3d/raviartthomas1cube3dlocalbasis.hh" 
18 #include·"raviartthomas1cube3d/raviartthomas1cube3dlocalcoefficients.hh" 
19 #include·"raviartthomas1cube3d/raviartthomas1cube3dlocalinterpolation.hh"15 raviartthomas03dlocalinterpolation.hh·File·Reference
 16 #include·<cmath>
 17 #include·<array>
 18 #include·<bitset>
 19 #include·<vector>
 20 #include·<dune/localfunctions/common/localinterpolation.hh>
20 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
21 ·Classes22 ·Classes
 23 class· Dune::RT03DLocalInterpolation<_LB_>
22 class· Dune::RT1Cube3DLocalFiniteElement<_D,_R_> 
23  ······First·order·Raviart-Thomas·shape·functions·on·cubes.·More... 
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
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11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 raviartthomas1cube3d.hh14 ····*·raviartthomas03d
 15 raviartthomas03dlocalinterpolation.hh
15 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALFINITEELEMENT_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALFINITEELEMENT_HH22 ·5#ifndef
 23 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALINTERPOLATION_HH
 24 ·6#define
 25 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_RAVIARTTHOMAS03DLOCALINTERPOLATION_HH
23 ·726 ·7
 27 ·8#include·<cmath>
 28 ·9#include·<array>
 29 ·10#include·<bitset>
 30 ·11#include·<vector>
 31 ·12#include·<dune/localfunctions/common/localinterpolation.hh>
 32 ·13
24 ·8#include·<dune/geometry/type.hh> 
25 ·9 
26 ·10#include·"../common/localfiniteelementtraits.hh" 
27 ·11#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalbasis.hh" 
28 ·12#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalcoefficients.hh" 
29 ·13#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalinterpolation.hh" 
30 ·14 
31 ·15namespace·Dune33 ·14namespace·Dune
32 ·16{34 ·15{
 35 ·16·template<class·LB>
 36 17·class·RT03DLocalInterpolation
 37 ·18·{
33 ·25·template<class·D,·class·R> 
34 26·class·RT1Cube3DLocalFiniteElement 
35 ·27·{ 
36 ·28 
37 ·29·public:38 ·19·public:
38 ·30·typedef·LocalFiniteElementTraits< 
39 ·31·RT1Cube3DLocalBasis<D,R>, 
40 ·32·RT1Cube3DLocalCoefficients, 
41 33·RT1Cube3DLocalInterpolation<RT1Cube3DLocalBasis<D,R>·>·>·Traits; 
42 ·34 
43 36·RT1Cube3DLocalFiniteElement·() 
44 ·37·{} 
45 ·38 
46 44·RT1Cube3DLocalFiniteElement·(int·s)·: 
47 ·45·basis(s), 
48 ·46·interpolation(s) 
49 ·47·{} 
50 ·48 
51 49·const·typename·Traits::LocalBasisType&·localBasis·()·const39 ·20
 40 22·RT03DLocalInterpolation·(std::bitset<4>·s·=·0)
 41 ·23·{
 42 ·24·using·std::sqrt;
 43 ·25·for·(std::size_t·i=0;·i<sign_.size();·i++)
 44 ·26·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
 45 ·27
 46 ·28·m_[0]·=·{1/3.0,·1/3.0,·0.0};
 47 ·29·m_[1]·=·{1/3.0,·0.0,·1/3.0};
 48 ·30·m_[2]·=·{·0.0,·1/3.0,·1/3.0};
 49 ·31·m_[3]·=·{1/3.0,·1/3.0,·1/3.0};
 50 ·32·n_[0]·=·{·0.0,·0.0,·-1.0};
 51 ·33·n_[1]·=·{·0.0,·-1.0,·0.0};
 52 ·34·n_[2]·=·{·-1.0,·0.0,·0.0};
 53 ·35·n_[3]·=·{1.0/sqrt(3.0),·1.0/sqrt(3.0),·1.0/sqrt(3.0)};
 54 ·36·c_[0]·=·sqrt(2.0);
 55 ·37·c_[1]·=·sqrt(2.0);
 56 ·38·c_[2]·=·sqrt(2.0);
 57 ·39·c_[3]·=·sqrt(2.0)/sqrt(3.0);
 58 ·40·}
 59 ·41
 60 ·42·template<typename·F,·typename·C>
 61 43·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
 62 ·44·{
 63 ·45·//·f·gives·v*outer·normal·at·a·point·on·the·face!
 64 ·46·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 65 DomainType>(ff);
 66 ·47
 67 ·48·out.resize(4);
 68 ·49
 69 ·50·for·(int·i=0;·i<4;·i++)
52 ·50·{70 ·51·{
53 ·51·return·basis;71 ·52·auto·y·=·f(m_[i]);
 72 ·53·out[i]·=·(y[0]*n_[i][0]+y[1]*n_[i][1]+y[2]*n_[i][2])*sign_[i]/c_[i];
54 ·52·}73 ·54·}
55 ·53 
56 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
57 ·55·{74 ·55·}
 75 ·56
58 ·56·return·coefficients; 
59 ·57·} 
60 ·58 
61 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
62 ·60·{ 
63 ·61·return·interpolation; 
64 ·62·} 
65 ·63 
66 65·unsigned·int·size·()·const 
67 ·66·{ 
68 ·67·return·basis.size(); 
69 ·68·} 
70 ·69 
71 70·static·constexpr·GeometryType·type·() 
72 ·71·{ 
73 ·72·return·GeometryTypes::hexahedron; 
74 ·73·} 
75 ·74 
76 ·75·private:76 ·57·private:
77 ·76·RT1Cube3DLocalBasis<D,R>·basis; 
78 ·77·RT1Cube3DLocalCoefficients·coefficients; 
79 ·78·RT1Cube3DLocalInterpolation<RT1Cube3DLocalBasis<D,R>·>·interpolation; 
80 ·79·}; 
81 ·80} 
82 ·81#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALFINITEELEMENT_HH 
83 raviartthomas1cube3dlocalinterpolation.hh 
84 raviartthomas1cube3dlocalbasis.hh 
85 raviartthomas1cube3dlocalcoefficients.hh77 ·58·//·Face·orientations
 78 ·59·std::array<typename·LB::Traits::RangeFieldType,4>·sign_;
 79 ·60·//·Face·midpoints·of·the·reference·tetrahedron
 80 ·61·std::array<typename·LB::Traits::DomainType,4>·m_;
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8 <title>dune-localfunctions:·raviartthomassimplexbasis.hh·File·Reference</title>8 <title>dune-localfunctions:·raviartthomas4cube2d.hh·File·Reference</title>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomassimplex 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 raviartthomassimplexbasis.hh·File·Reference14 raviartthomas4cube2d.hh·File·Reference
16 #include·<fstream> 
17 #include·<dune/common/exceptions.hh> 
18 #include·<dune/localfunctions/utility/defaultbasisfactory.hh> 
19 #include·"raviartthomassimplexinterpolation.hh" 
20 #include·"raviartthomassimplexprebasis.hh"15 #include·<dune/geometry/type.hh>
 16 #include·"../common/localfiniteelementtraits.hh"
 17 #include·"raviartthomas4cube2d/raviartthomas4cube2dlocalbasis.hh"
 18 #include·"raviartthomas4cube2d/raviartthomas4cube2dlocalcoefficients.hh"
 19 #include·"raviartthomas4cube2d/raviartthomas4cube2dlocalinterpolation.hh"
21 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
22 ·Classes21 ·Classes
23 struct· Dune::RaviartThomasBasisFactory<_dim,_SF,_CF_>22 class· Dune::RT4Cube2DLocalFiniteElement<_D,_R_>
 23  ······Second·order·Raviart-Thomas·shape·functions·on·cubes.·More...
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·raviartthomassimplexbasis.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas4cube2d.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
 14 raviartthomas4cube2d.hh
14 ····*·raviartthomassimplex 
15 raviartthomassimplexbasis.hh 
16 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_RAVIARTTHOMASBASIS_HH 
23 ·6#define·DUNE_RAVIARTTHOMASBASIS_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALFINITEELEMENT_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALFINITEELEMENT_HH
24 ·723 ·7
25 ·8#include·<fstream> 
26 ·9#include·<dune/common/exceptions.hh> 
27 ·10 
28 ·11#include·<dune/localfunctions/utility/defaultbasisfactory.hh> 
29 ·12#include·"raviartthomassimplexinterpolation.hh" 
30 ·13#include·"raviartthomassimplexprebasis.hh"24 ·8#include·<dune/geometry/type.hh>
 25 ·9
 26 ·10#include·"../common/localfiniteelementtraits.hh"
 27 ·11#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalbasis.hh"
 28 ·12#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalcoefficients.hh"
 29 ·13#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalinterpolation.hh"
31 ·1430 ·14
32 ·15namespace·Dune31 ·15namespace·Dune
33 ·16{32 ·16{
 33 ·27·template<class·D,·class·R>
 34 28·class·RT4Cube2DLocalFiniteElement
 35 ·29·{
34 ·17·/* 
35 ·18·*·`RTPreBasisFactory`·provides·a·basis·for·the·Raviart-Thomas·function 
36 space. 
37 ·19·*·`RaviartThomasL2InterpolationFactory`·provides·the·linear·functionals. 
38 ·20·* 
39 ·21·*·`Defaultbasisfactory::create`·first·builds·the·function·space·and·the 
40 linear·functionals. 
41 ·22·*·Then·the·constructor·of·`BasisMatrix`·gets·called.·There·the·matrix 
42 ·23·* 
43 ·24·*·\begin{equation} 
44 ·25·*·A_{i,j}·:=·N_j(\phi_i) 
45 ·26·*·\end{equation} 
46 ·27·* 
47 ·28·*·with·linear·functionals·$N_j$·and·basisfunctions·$\phi_i$·gets·assembled. 
48 ·29·*·Then·the·matrix·gets·inverted·and·is·then·used·as·a·coefficent·matrix·for 
49 the·standard·monomial·basis. 
50 ·30·*36 ·30
51 ·31·*·For·more·details·on·the·theory·see·the·first·chapter·"Construction·of 
52 Local·Finite·Element·Spaces·Using·the·Generic·Reference·Elements" 
53 ·32·*·of·the·book·"Advances·in·Dune"·by·Dedner,·Flemisch·and·Klöfkorn·published 
54 in·2012. 
55 ·33·*/ 
56 ·34 
57 ·35·template<·unsigned·int·dim,·class·SF,·class·CF·> 
58 36·struct·RaviartThomasBasisFactory 
59 ·37·:·public·DefaultBasisFactory<·RTPreBasisFactory<dim,CF>, 
60 ·38·RaviartThomasL2InterpolationFactory<dim,CF>, 
61 ·39·dim,dim,SF,CF·>37 ·31·public:
 38 ·32·typedef·LocalFiniteElementTraits<
 39 ·33·RT4Cube2DLocalBasis<D,R>,
 40 ·34·RT4Cube2DLocalCoefficients,
 41 35·RT4Cube2DLocalInterpolation<RT4Cube2DLocalBasis<D,R>·>·>·Traits;
 42 ·36
 43 38·RT4Cube2DLocalFiniteElement·()
 44 ·39·{}
 45 ·40
 46 46·RT4Cube2DLocalFiniteElement·(int·s)·:
 47 ·47·basis(s),
 48 ·48·interpolation(s)
62 ·40·{};49 ·49·{}
63 ·41} 
64 ·42 
65 ·43#endif·//·#ifndef·DUNE_RAVIARTTHOMASBASIS_HH 
66 defaultbasisfactory.hh 
67 raviartthomassimplexprebasis.hh50 ·50
 51 51·const·typename·Traits::LocalBasisType&·localBasis·()·const
 52 ·52·{
 53 ·53·return·basis;
 54 ·54·}
 55 ·55
 56 56·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 57 ·57·{
 58 ·58·return·coefficients;
 59 ·59·}
 60 ·60
 61 61·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 62 ·62·{
 63 ·63·return·interpolation;
 64 ·64·}
 65 ·65
 66 67·unsigned·int·size·()·const
 67 ·68·{
 68 ·69·return·basis.size();
 69 ·70·}
 70 ·71
 71 72·static·constexpr·GeometryType·type·()
 72 ·73·{
 73 ·74·return·GeometryTypes::quadrilateral;
 74 ·75·}
 75 ·76
 76 ·77·private:
 77 ·78·RT4Cube2DLocalBasis<D,R>·basis;
 78 ·79·RT4Cube2DLocalCoefficients·coefficients;
 79 ·80·RT4Cube2DLocalInterpolation<RT4Cube2DLocalBasis<D,R>·>·interpolation;
 80 ·81·};
 81 ·82}
 82 ·83#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALFINITEELEMENT_HH
 83 raviartthomas4cube2dlocalbasis.hh
 84 raviartthomas4cube2dlocalcoefficients.hh
68 raviartthomassimplexinterpolation.hh85 raviartthomas4cube2dlocalinterpolation.hh
69 Dune86 Dune
70 Definition·bdfmcube.hh:1887 Definition·bdfmcube.hh:18
71 Dune::RaviartThomasBasisFactory88 Dune::LocalFiniteElementTraits
 89 traits·helper·struct
 90 Definition·localfiniteelementtraits.hh:13
 91 Dune::LocalFiniteElementTraits::LocalBasisType
 92 LB·LocalBasisType
 93 Definition·localfiniteelementtraits.hh:16
 94 Dune::LocalFiniteElementTraits::LocalCoefficientsType
 95 LC·LocalCoefficientsType
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomassimplex 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 raviartthomassimplexprebasis.hh·File·Reference14 raviartthomassimplex.hh·File·Reference
 15 Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices·of
 16 arbitrary·dimension.·More...
16 #include·<fstream> 
17 #include·<utility> 
18 #include·<dune/geometry/type.hh> 
19 #include·<dune/localfunctions/utility/polynomialbasis.hh>17 #include·<dune/localfunctions/utility/localfiniteelement.hh>
 18 #include·"raviartthomassimplex/raviartthomassimplexbasis.hh"
20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
21 ·Classes20 ·Classes
 21 class· Dune::RaviartThomasSimplexLocalFiniteElement<_dimDomain,_D,_R,_SF,_CF_>
 22  ······Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices
 23 ········of·arbitrary·dimension.·More...
22 struct· Dune::RTPreBasisFactory<_dim,_Field_> 
23   
24 struct· Dune::RTPreBasisFactory<_dim,_Field_>::EvaluationBasisFactory<_dd,_FF 
25 ·········> 
26   
27 struct· Dune::RTVecMatrix<_geometryId,_Field_> 
28  24  
29 ·Namespaces25 ·Namespaces
30 namespace· Dune26 namespace· Dune
31  27  
 28 *****·Detailed·Description·*****
 29 Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices·of
 30 arbitrary·dimension.
  
32 ===============================================================================31 ===============================================================================
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomassimplex 
15 raviartthomassimplexprebasis.hh14 raviartthomassimplex.hh
16 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_RAVIARTTHOMASPREBASIS_HH 
23 ·6#define·DUNE_RAVIARTTHOMASPREBASIS_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_SIMPLEX_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_SIMPLEX_HH
24 ·723 ·7
25 ·8#include·<fstream> 
26 ·9#include·<utility>24 ·8#include·<dune/localfunctions/utility/localfiniteelement.hh>
 25 ·9#include·"raviartthomassimplex/raviartthomassimplexbasis.hh"
27 ·1026 ·10
28 ·11#include·<dune/geometry/type.hh> 
29 ·12 
30 ·13#include·<dune/localfunctions/utility/polynomialbasis.hh> 
31 ·14 
32 ·15namespace·Dune27 ·17namespace·Dune
33 ·16{28 ·18{
 29 ·35·template<unsigned·int·dimDomain,·class·D,·class·R,
 30 ·36·class·SF=R,·class·CF=SF>
 31 37·class·RaviartThomasSimplexLocalFiniteElement
 32 ·38·:·public·GenericLocalFiniteElement<RaviartThomasBasisFactory<dimDomain,·SF,
 33 CF>,
 34 ·39·RaviartThomasCoefficientsFactory<dimDomain>,
 35 ·40·RaviartThomasL2InterpolationFactory<dimDomain,·SF>·>
 36 ·41·{
 37 ·42·typedef·GenericLocalFiniteElement<RaviartThomasBasisFactory<dimDomain,_SF,
 38 CF>,
 39 ·43·RaviartThomasCoefficientsFactory<dimDomain>,
 40 ·44·RaviartThomasL2InterpolationFactory<dimDomain,_SF>·>·Base;
 41 ·45·public:
 42 ·46·using·typename·Base::Traits;
34 ·17·template·<·GeometryType::Id·geometryId,·class·Field·> 
35 ·18·struct·RTVecMatrix; 
36 ·19 
37 ·20·template·<unsigned·int·dim,·class·Field> 
38 21·struct·RTPreBasisFactory 
39 ·22·{ 
40 23·typedef·MonomialBasisProvider<dim,Field>·MBasisFactory; 
41 24·typedef·typename·MBasisFactory::Object·MBasis; 
42 25·typedef·StandardEvaluator<MBasis>·EvalMBasis; 
43 26·typedef·PolynomialBasisWithMatrix<EvalMBasis,SparseCoeffMatrix<Field,dim>·> 
44 Basis; 
45 ·27 
46 28·typedef·const·Basis·Object; 
47 29·typedef·std::size_t·Key; 
48 ·30 
49 ·31·template·<unsigned·int·dd,·class·FF> 
50 32·struct·EvaluationBasisFactory 
51 ·33·{ 
52 34·typedef·MonomialBasisProvider<dd,FF>·Type; 
53 ·35·}; 
54 ·36·template<·GeometryType::Id·geometryId·> 
55 37·static·Object·*create·(·const·Key·&order·) 
56 ·38·{ 
57 ·39·RTVecMatrix<geometryId,Field>·vecMatrix(order); 
58 ·40·MBasis·*mbasis·=·MBasisFactory::template·create<geometryId>(order+1); 
59 ·41·typename·std::remove_const<Object>::type·*tmBasis·=·new·typename·std:: 
60 remove_const<Object>::type(*mbasis); 
61 ·42·tmBasis->fill(vecMatrix); 
62 ·43·return·tmBasis; 
63 ·44·} 
64 45·static·void·release(·Object·*object·)·{·delete·object;·} 
65 ·46·}; 
66 ·4743 ·47
 44 49·RaviartThomasSimplexLocalFiniteElement(const·GeometryType·&gt,·unsigned·int
 45 order)
 46 ·50·:·Base(gt,·order)
67 ·48·template·<GeometryType::Id·geometryId,·class·Field> 
68 49·struct·RTVecMatrix 
69 ·50·{ 
70 51·static·constexpr·GeometryType·geometry·=·geometryId; 
71 52·static·const·unsigned·int·dim·=·geometry.dim(); 
72 53·typedef·MultiIndex<dim,Field>·MI; 
73 54·typedef·MonomialBasis<geometryId,MI>·MIBasis; 
74 55·RTVecMatrix(std::size_t·order) 
75 ·56·{ 
76 ·57·/* 
77 ·58·*·Construction·of·Raviart-Thomas·elements·in·high·dimensions·see·"Mixed 
78 Finite·Elements·in·\R^3"·by·Nedelec,·1980. 
79 ·59·* 
80 ·60·*·Let·$\P_{n,k}$·be·the·space·of·polynomials·in·$n$·variables·with·degree 
81 $\leq·k$. 
82 ·61·*·The·space·of·Raviart-Thomas·functions·in·$n$·dimensions·with·index·$k$·is 
83 defined·as 
84 ·62·* 
85 ·63·*·\begin{equation*} 
86 ·64·*·RT_k·:=·(\P_{k-1})^n·\oplus·\widetilde·\P_k·x 
87 ·65·*·\end{equation*} 
88 ·66·*·with·$x=(x_1,x_2,\dots,·x_n)$·in·$n$·dimensions·and·$\widetilde·\P_k$·the 
89 homogeneous·polynomials·of·degree·$k$. 
90 ·67·* 
91 ·68·*·For·$RT_k$·holds 
92 ·69·*·\begin{equation*} 
93 ·70·*·(\P_{k-1})^n·\subset·RT_k·\subset·(\P_k)^n. 
94 ·71·*·\end{equation*} 
95 ·72·* 
96 ·73·*·We·construct·$(\P_k)^n$·and·and·only·use·the·monomials·contained·in 
97 $RT_k$. 
98 ·74·* 
99 ·75·*/ 
100 ·76 
101 ·77·MIBasis·basis(order+1); 
102 ·78·FieldVector<·MI,·dim·>·x; 
103 ·79·/* 
104 ·80·*·Init·MultiIndices 
105 ·81·*·x[0]=(1,0,0)·x 
106 ·82·*·x[1]=(0,1,0)·y 
107 ·83·*·x[2]=(0,0,1)·z 
108 ·84·*/ 
109 ·85·for(·unsigned·int·i·=·0;·i·<·dim;·++i·) 
110 ·86·x[·i·].set(·i,·1·); 
111 ·87·std::vector<·MI·>·val(·basis.size()·); 
112 ·88 
113 ·89·//·val·now·contains·all·monomials·in·$n$·dimensions·with·degree·$\leq 
114 order+1$ 
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12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomassimplex 
14 Classes·|·Namespaces13 Classes·|·Namespaces
 14 raviartthomas02d.hh·File·Reference
15 raviartthomassimplexinterpolation.hh·File·Reference 
16 #include·<fstream> 
17 #include·<utility> 
18 #include·<dune/common/exceptions.hh> 
19 #include·<dune/geometry/quadraturerules.hh> 
20 #include·<dune/geometry/referenceelements.hh> 
21 #include·<dune/geometry/type.hh>15 #include·<dune/geometry/type.hh>
22 #include·<dune/geometry/typeindex.hh> 
23 #include·<dune/localfunctions/common/localkey.hh>16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
24 #include·<dune/localfunctions/utility/interpolationhelper.hh> 
25 #include·<dune/localfunctions/utility/polynomialbasis.hh> 
26 #include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>17 #include·"raviartthomas02d/raviartthomas02dlocalbasis.hh"
 18 #include·"raviartthomas02d/raviartthomas02dlocalcoefficients.hh"
 19 #include·"raviartthomas02d/raviartthomas02dlocalinterpolation.hh"
27 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
28 ·Classes21 ·Classes
 22 class· Dune::RT02DLocalFiniteElement<_D,_R_>
 23  ······Zero·order·Raviart-Thomas·shape·functions·on·triangles.·More...
29 ·class· Dune::LocalCoefficientsContainer 
30   
31 struct· Dune::RaviartThomasCoefficientsFactory<_dim_> 
32   
33 struct· Dune::RTL2InterpolationBuilder<_dim,_Field_> 
34   
35 ·class· Dune::RaviartThomasL2Interpolation<_dimension,_F_> 
36  ·······An·L2-based·interpolation·for·Raviart·Thomas.·More... 
37   
38 struct· Dune::RaviartThomasL2InterpolationFactory<_dim,_Field_> 
39  24  
40 ·Namespaces25 ·Namespaces
41 namespace· Dune26 namespace· Dune
42  27  
  
43 ===============================================================================28 ===============================================================================
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 14 raviartthomas02d.hh
14 ····*·raviartthomassimplex 
15 raviartthomassimplexinterpolation.hh 
16 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 21 ·5#ifndef·DUNE_RAVIARTTHOMAS02DLOCALFINITEELEMENT_HH
 22 ·6#define·DUNE_RAVIARTTHOMAS02DLOCALFINITEELEMENT_HH
22 ·5#ifndef 
23 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMASSIMPLEX_RAVIARTTHOMASSIMPLEXINTERPOLATION_HH 
24 ·6#define 
25 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMASSIMPLEX_RAVIARTTHOMASSIMPLEXINTERPOLATION_HH 
26 ·723 ·7
27 ·8#include·<fstream> 
28 ·9#include·<utility> 
29 ·10 
30 ·11#include·<dune/common/exceptions.hh> 
31 ·12 
32 ·13#include·<dune/geometry/quadraturerules.hh> 
33 ·14#include·<dune/geometry/referenceelements.hh> 
34 ·15#include·<dune/geometry/type.hh>24 ·8#include·<dune/geometry/type.hh>
35 ·16#include·<dune/geometry/typeindex.hh>25 ·9
 26 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 27 ·11#include·"raviartthomas02d/raviartthomas02dlocalbasis.hh"
 28 ·12#include·"raviartthomas02d/raviartthomas02dlocalcoefficients.hh"
 29 ·13#include·"raviartthomas02d/raviartthomas02dlocalinterpolation.hh"
 30 ·14
 31 ·15namespace·Dune
 32 ·16{
36 ·1733 ·17
 34 ·26·template<class·D,·class·R>
 35 27·class
 36 ·28·RT02DLocalFiniteElement
 37 ·29·{
 38 ·30·public:
 39 ·31·typedef
 40 LocalFiniteElementTraits<RT02DLocalBasis<D,R>,RT02DLocalCoefficients,
 41 32·RT02DLocalInterpolation<RT02DLocalBasis<D,R>·>·>·Traits;
37 ·18#include·<dune/localfunctions/common/localkey.hh> 
38 ·19#include·<dune/localfunctions/utility/interpolationhelper.hh> 
39 ·20#include·<dune/localfunctions/utility/polynomialbasis.hh> 
40 ·21#include·<dune/localfunctions/orthonormal/orthonormalbasis.hh> 
41 ·22 
42 ·23namespace·Dune 
43 ·24{ 
44 ·25 
45 ·26·//·Internal·Forward·Declarations 
46 ·27·//·----------------------------- 
47 ·28 
48 ·29·template·<·unsigned·int·dim,·class·Field·> 
49 ·30·struct·RaviartThomasL2InterpolationFactory; 
50 ·31 
51 ·32 
52 ·3342 ·33
 43 35·RT02DLocalFiniteElement·()
 44 ·36·{}
 45 ·37
 46 43·RT02DLocalFiniteElement·(std::bitset<3>·s)·:
 47 ·44·basis(s),
 48 ·45·interpolation(s)
53 ·34·//·LocalCoefficientsContainer 
54 ·35·//·-------------------------- 
55 ·36 
56 ·37·class·LocalCoefficientsContainer 
57 ·38·{ 
58 ·39·typedef·LocalCoefficientsContainer·This; 
59 ·40 
60 ·41·public: 
61 ·42·template·<class·Setter> 
62 43·LocalCoefficientsContainer·(·const·Setter·&setter·) 
63 ·44·{ 
64 ·45·setter.setLocalKeys(localKey_); 
65 ·46·}49 ·46·{}
66 ·4750 ·47
67 48·const·LocalKey·&localKey·(·const·unsigned·int·i·)·const51 48·const·typename·Traits::LocalBasisType&·localBasis·()·const
68 ·49·{52 ·49·{
 53 ·50·return·basis;
69 ·50·assert(·i·<·size()·); 
70 ·51·return·localKey_[·i·]; 
71 ·52·}54 ·51·}
72 ·53 
73 54·std::size_t·size·()·const55 ·52
 56 53·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
74 ·55·{57 ·54·{
75 ·56·return·localKey_.size();58 ·55·return·coefficients;
76 ·57·}59 ·56·}
77 ·58 
78 ·59·private: 
79 ·60·std::vector<·LocalKey·>·localKey_;60 ·57
 61 58·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 62 ·59·{
 63 ·60·return·interpolation;
80 ·61·};64 ·61·}
81 ·6265 ·62
82 ·6366 63·unsigned·int·size·()·const
83 ·6467 ·64·{
84 ·65·//·RaviartThomasCoefficientsFactory 
85 ·66·//·--------------------------------68 ·65·return·3;
 69 ·66·}
86 ·6770 ·67
 71 68·static·constexpr·GeometryType·type·()
87 ·68·template·<·unsigned·int·dim·> 
88 69·struct·RaviartThomasCoefficientsFactory 
89 ·70·{ 
90 71·typedef·std::size_t·Key; 
91 72·typedef·const·LocalCoefficientsContainer·Object; 
92 ·73 
93 ·74·template<·GeometryType::Id·geometryId·> 
94 75·static·Object·*create(·const·Key·&key·) 
95 ·76·{72 ·69·{
 73 ·70·return·GeometryTypes::triangle;
 74 ·71·}
 75 ·72
96 ·77·typedef·RaviartThomasL2InterpolationFactory<_dim,_double_> 
97 InterpolationFactory; 
98 ·78·if(·!supports<·geometryId·>(·key·)·) 
99 ·79·return·nullptr; 
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20 ·Classes21 ·Classes
21 class· Dune::RT0PyramidLocalCoefficients 
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12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
 14 raviartthomas3cube2d.hh
14 ····*·raviartthomas0pyramid 
15 raviartthomas0pyramidlocalcoefficients.hh 
16 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALCOEFFICIENTS_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALFINITEELEMENT_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALCOEFFICIENTS_HH22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALFINITEELEMENT_HH
24 ·723 ·7
25 ·8#include·<cstddef> 
26 ·9#include·<vector> 
27 ·10 
28 ·11#include·"../../common/localkey.hh" 
29 ·1224 ·8#include·<dune/geometry/type.hh>
 25 ·9
 26 ·10#include·"../common/localfiniteelementtraits.hh"
 27 ·11#include·"raviartthomas3cube2d/raviartthomas3cube2dlocalbasis.hh"
 28 ·12#include·"raviartthomas3cube2d/raviartthomas3cube2dlocalcoefficients.hh"
 29 ·13#include·"raviartthomas3cube2d/raviartthomas3cube2dlocalinterpolation.hh"
 30 ·14
30 ·13namespace·Dune31 ·15namespace·Dune
31 ·14{32 ·16{
 33 ·27·template<class·D,·class·R>
 34 28·class·RT3Cube2DLocalFiniteElement
32 ·15 
33 23·class·RT0PyramidLocalCoefficients 
34 ·24·{ 
35 ·25 
36 ·26·public: 
37 28·RT0PyramidLocalCoefficients·()·:·li(size()) 
38 ·29·{35 ·29·{
39 ·30·for(int·i=0;·i<·size();·i++) 
40 ·31·li[i]·=·LocalKey(i,1,0); 
41 ·32·} 
42 ·33 
43 35·std::size_t·size·()·const36 ·30
 37 ·31·public:
 38 ·32·typedef·LocalFiniteElementTraits<
 39 ·33·RT3Cube2DLocalBasis<D,R>,
 40 ·34·RT3Cube2DLocalCoefficients,
 41 35·RT3Cube2DLocalInterpolation<RT3Cube2DLocalBasis<D,R>·>·>·Traits;
44 ·36·{42 ·36
45 ·37·return·5; 
46 ·38·} 
47 ·39 
48 41·const·LocalKey&·localKey·(std::size_t·i)·const43 38·RT3Cube2DLocalFiniteElement·()
 44 ·39·{}
 45 ·40
 46 46·RT3Cube2DLocalFiniteElement·(int·s)·:
 47 ·47·basis(s),
 48 ·48·interpolation(s)
 49 ·49·{}
 50 ·50
 51 51·const·typename·Traits::LocalBasisType&·localBasis·()·const
49 ·42·{52 ·52·{
50 ·43·return·li[i];53 ·53·return·basis;
51 ·44·}54 ·54·}
52 ·4555 ·55
 56 56·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 57 ·57·{
 58 ·58·return·coefficients;
 59 ·59·}
 60 ·60
 61 61·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 62 ·62·{
 63 ·63·return·interpolation;
 64 ·64·}
 65 ·65
 66 67·unsigned·int·size·()·const
 67 ·68·{
 68 ·69·return·basis.size();
 69 ·70·}
 70 ·71
 71 72·static·constexpr·GeometryType·type·()
 72 ·73·{
 73 ·74·return·GeometryTypes::quadrilateral;
 74 ·75·}
 75 ·76
53 ·46·private:76 ·77·private:
54 ·47·std::vector<LocalKey>·li;77 ·78·RT3Cube2DLocalBasis<D,R>·basis;
 78 ·79·RT3Cube2DLocalCoefficients·coefficients;
 79 ·80·RT3Cube2DLocalInterpolation<RT3Cube2DLocalBasis<D,R>·>·interpolation;
55 ·48·};80 ·81·};
56 ·49}81 ·82}
57 ·50#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALCOEFFICIENTS_HH82 ·83#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALFINITEELEMENT_HH
 83 raviartthomas3cube2dlocalinterpolation.hh
 84 raviartthomas3cube2dlocalbasis.hh
 85 raviartthomas3cube2dlocalcoefficients.hh
58 Dune86 Dune
59 Definition·bdfmcube.hh:1887 Definition·bdfmcube.hh:18
60 Dune::LocalKey 
61 Describe·position·of·one·degree·of·freedom. 
62 Definition·localkey.hh:23 
63 Dune::RT0PyramidLocalCoefficients 
64 Layout·map·for·Raviart-Thomas-1·elements·on·pyramids. 
65 Definition·raviartthomas0pyramidlocalcoefficients.hh:24 
66 Dune::RT0PyramidLocalCoefficients::localKey 
67 const·LocalKey·&·localKey(std::size_t·i)·const 
68 get·i'th·index 
69 Definition·raviartthomas0pyramidlocalcoefficients.hh:41 
70 Dune::RT0PyramidLocalCoefficients::RT0PyramidLocalCoefficients 
71 RT0PyramidLocalCoefficients()88 Dune::LocalFiniteElementTraits
 89 traits·helper·struct
 90 Definition·localfiniteelementtraits.hh:13
 91 Dune::LocalFiniteElementTraits::LocalBasisType
 92 LB·LocalBasisType
 93 Definition·localfiniteelementtraits.hh:16
 94 Dune::LocalFiniteElementTraits::LocalCoefficientsType
 95 LC·LocalCoefficientsType
 96 Definition·localfiniteelementtraits.hh:20
 97 Dune::LocalFiniteElementTraits::LocalInterpolationType
 98 LI·LocalInterpolationType
 99 Definition·localfiniteelementtraits.hh:24
 100 Dune::RT3Cube2DLocalFiniteElement
 101 Second·order·Raviart-Thomas·shape·functions·on·cubes.
 102 Definition·raviartthomas3cube2d.hh:29
 103 Dune::RT3Cube2DLocalFiniteElement::localCoefficients
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas0pyramid13 ····*·raviartthomas0prism
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas0pyramidlocalbasis.hh·File·Reference15 raviartthomas0prismlocalbasis.hh·File·Reference
16 #include·<numeric>16 #include·<numeric>
17 #include·<vector>17 #include·<vector>
18 #include·<dune/common/fmatrix.hh>18 #include·<dune/common/fmatrix.hh>
19 #include·"../../common/localbasis.hh"19 #include·"../../common/localbasis.hh"
20 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
21 ·Classes21 ·Classes
22 class· Dune::RT0PyramidLocalBasis<_D,_R_>22 class· Dune::RT0PrismLocalBasis<_D,_R_>
23  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·pyramid.23  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·prism.
24 ········More...24 ········More...
25  25  
26 ·Namespaces26 ·Namespaces
27 namespace· Dune27 namespace· Dune
28  28  
  
29 ===============================================================================29 ===============================================================================
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomas0pyramid14 ····*·raviartthomas0prism
15 raviartthomas0pyramidlocalbasis.hh15 raviartthomas0prismlocalbasis.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALBASIS_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALBASIS_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALBASIS_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALBASIS_HH
24 ·724 ·7
25 ·8#include·<numeric>25 ·8#include·<numeric>
26 ·9#include·<vector>26 ·9#include·<vector>
27 ·1027 ·10
28 ·11#include·<dune/common/fmatrix.hh>28 ·11#include·<dune/common/fmatrix.hh>
29 ·1229 ·12
30 ·13#include·"../../common/localbasis.hh"30 ·13#include·"../../common/localbasis.hh"
31 ·1431 ·14
32 ·15namespace·Dune32 ·15namespace·Dune
33 ·16{33 ·16{
34 ·26·template<class·D,·class·R>34 ·26·template<class·D,·class·R>
35 27·class·RT0PyramidLocalBasis35 27·class·RT0PrismLocalBasis
36 ·28·{36 ·28·{
37 ·2937 ·29
38 ·30·public:38 ·30·public:
39 ·31·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune::39 ·31·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune::
40 FieldVector<R,3>,40 FieldVector<R,3>,
41 32·Dune::FieldMatrix<R,3,3>·>·Traits;41 32·Dune::FieldMatrix<R,3,3>·>·Traits;
42 ·3342 ·33
43 39·RT0PyramidLocalBasis·(std::bitset<5>·s·=·0)43 39·RT0PrismLocalBasis·(std::bitset<5>·s·=·0)
44 ·40·{44 ·40·{
45 ·41·for·(size_t·i=0;·i<size();·i++)45 ·41·for·(size_t·i=0;·i<size();·i++)
46 ·42·sign[i]·=·s[i]·?·-1.0·:·1.0;46 ·42·sign[i]·=·s[i]·?·-1.0·:·1.0;
47 ·43·}47 ·43·}
48 ·4448 ·44
49 46·unsigned·int·size·()·const49 46·unsigned·int·size·()·const
50 ·47·{50 ·47·{
51 ·48·return·5;51 ·48·return·5;
52 ·49·}52 ·49·}
53 ·5053 ·50
54 57·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,54 57·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
55 ·58·std::vector<typename·Traits::RangeType>&·out)·const55 ·58·std::vector<typename·Traits::RangeType>&·out)·const
56 ·59·{56 ·59·{
57 ·60·out.resize(5);57 ·60·out.resize(5);
58 ·61·for·(std::size_t·i=0;·i<out.size();·i++) 
59 ·62·out[i]·=·{0.0,0.0,0.0};58 ·61
 59 ·62·out[0]·=·{·in[0],·-1.0·+·in[1],·0.0};
60 ·6360 ·63
61 ·64·out[0][0]·=·1.5*in[0]; 
62 ·65·out[0][1]·=·1.5*in[1]; 
63 ·66·out[0][2]·=·-1.0;61 ·64·out[1]·=·{·-1.0·+·in[0],·in[1],·0.0};
 62 ·65
 63 ·66·out[2]·=·{·in[0],·in[1],·0.0};
64 ·6764 ·67
65 ·68·out[1][0]·=·-2.0·+·3.0*in[0];65 ·68·out[3]·=·{·0.0,·0.0,·-2.0·+·2.0*in[2]};
66 ·6966 ·69
67 ·70·out[2][0]·=·3.0*in[0];67 ·70·out[4]·=·{·0.0,·0.0,·2.0*in[2]};
68 ·7168 ·71
69 ·72·out[3][1]·=·-2.0·+·3.0*in[1]; 
70 ·73 
71 ·74·out[4][1]·=·3.0*in[1]; 
72 ·75 
73 ·76·for·(std::size_t·i=0;·i<out.size();·i++)69 ·72·for·(std::size_t·i=0;·i<out.size();·i++)
74 ·77·out[i]·*=·sign[i];70 ·73·out[i]·*=·sign[i];
75 ·7871 ·74
76 ·79·}72 ·75·}
77 ·8073 ·76
78 87·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,74 83·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,
79 ·88·std::vector<typename·Traits::JacobianType>&·out)·const75 ·84·std::vector<typename·Traits::JacobianType>&·out)·const
80 ·89·{76 ·85·{
81 ·90·out.resize(5);77 ·86·out.resize(5);
 78 ·87
 79 ·88·for(int·i=0;·i<size();·i++)
 80 ·89·for(int·j=0;·j<3;·j++)
 81 ·90·out[i][j]·=·{0.0,·0.0,·0.0};
82 ·9182 ·91
83 ·92·for(int·i=0;·i<size();·i++) 
84 ·93·for(int·j=0;·j<3;·j++) 
85 ·94·out[i][j]·=·{0.0,·0.0,·0.0}; 
86 ·95 
87 ·96·out[0][0][0]·=·sign[0]*(1.5);83 ·92·out[0][0][0]·=·sign[0];
88 ·97·out[0][1][1]·=·sign[0]*(1.5);84 ·93·out[0][1][1]·=·sign[0];
89 ·9885 ·94
90 ·99·out[1][0][0]·=·sign[1]*(3.0);86 ·95·out[1][0][0]·=·sign[1];
 87 ·96·out[1][1][1]·=·sign[1];
 88 ·97
 89 ·98·out[2][0][0]·=·sign[2];
 90 ·99·out[2][1][1]·=·sign[2];
91 ·10091 ·100
92 ·101·out[2][0][0]·=·sign[2]*(3.0);92 ·101·out[3][2][2]·=·sign[3]*(2.0);
93 ·10293 ·102
94 ·103·out[3][1][1]·=·sign[3]*(3.0); 
95 ·104 
96 ·105·out[4][1][1]·=·sign[4]*(3.0);94 ·103·out[4][2][2]·=·sign[4]*(2.0);
97 ·106·}95 ·104·}
98 ·10796 ·105
99 109·void·partial·(const·std::array<unsigned·int,·3>&·order,97 107·void·partial·(const·std::array<unsigned·int,·3>&·order,
100 ·110·const·typename·Traits::DomainType&·in,·//·position98 ·108·const·typename·Traits::DomainType&·in,·//·position
101 ·111·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value99 ·109·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value
102 ·112·{100 ·110·{
103 ·113·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0);101 ·111·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0);
104 ·114·if·(totalOrder·==·0)·{102 ·112·if·(totalOrder·==·0)·{
105 ·115·evaluateFunction(in,·out);103 ·113·evaluateFunction(in,·out);
106 ·116·}·else·{104 ·114·}·else·{
107 ·117·DUNE_THROW(NotImplemented,·"Desired·derivative·order·is·not·implemented");105 ·115·DUNE_THROW(NotImplemented,·"Desired·derivative·order·is·not·implemented");
108 ·118·}106 ·116·}
109 ·119·}107 ·117·}
110 ·120108 ·118
111 122·unsigned·int·order·()·const109 120·unsigned·int·order·()·const
112 ·123·{110 ·121·{
113 ·124·return·1;111 ·122·return·1;
114 ·125·}112 ·123·}
115 ·126113 ·124
116 ·127·private:114 ·125·private:
117 ·128·std::array<R,5>·sign;115 ·126·std::array<R,5>·sign;
118 ·129·};116 ·127·};
119 ·130}117 ·128}
120 ·131#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALBASIS_HH118 ·129#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALBASIS_HH
121 Dune119 Dune
122 Definition·bdfmcube.hh:18120 Definition·bdfmcube.hh:18
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14 Classes·|·Namespaces14 Classes·|·Namespaces
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17 #include·<dune/localfunctions/common/localinterpolation.hh>18 #include·"../../common/localkey.hh"
18 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
19 ·Classes20 ·Classes
 21 class· Dune::RT0PrismLocalCoefficients
 22  ······Layout·map·for·Raviart-Thomas-1·elements·on·prisms.·More...
20 class· Dune::RT0PyramidLocalInterpolation<_LB_> 
21  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·hexahedron. 
22 ········More... 
23  23  
24 ·Namespaces24 ·Namespaces
25 namespace· Dune25 namespace· Dune
26  26  
  
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8 <title>dune-localfunctions:·raviartthomas0pyramidlocalinterpolation.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas0prismlocalcoefficients.hh·Source·File</title>
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15 raviartthomas0pyramidlocalinterpolation.hh15 raviartthomas0prismlocalcoefficients.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALINTERPOLATION_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALCOEFFICIENTS_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALINTERPOLATION_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALCOEFFICIENTS_HH
24 ·724 ·7
 25 ·8#include·<cstddef>
25 ·8#include·<vector>26 ·9#include·<vector>
26 ·9 
27 ·10#include·<dune/localfunctions/common/localinterpolation.hh> 
28 ·1127 ·10
 28 ·11#include·"../../common/localkey.hh"
 29 ·12
29 ·12namespace·Dune30 ·13namespace·Dune
30 ·13{31 ·14{
31 ·22·template<class·LB> 
32 23·class·RT0PyramidLocalInterpolation32 ·15
 33 23·class·RT0PrismLocalCoefficients
33 ·24·{34 ·24·{
34 ·2535 ·25
35 ·26·public:36 ·26·public:
36 ·27 
37 33·RT0PyramidLocalInterpolation·(std::bitset<5>·s·=·0)37 28·RT0PrismLocalCoefficients·()·:·li(size())
 38 ·29·{
 39 ·30·for(int·i=0;·i<·size();·i++)
 40 ·31·li[i]·=·LocalKey(i,1,0);
 41 ·32·}
 42 ·33
 43 35·std::size_t·size·()·const
38 ·34·{44 ·36·{
 45 ·37·return·5;
 46 ·38·}
39 ·35·typedef·typename·LB::Traits::RangeFieldType·Scalar; 
40 ·36 
41 ·37·for·(size_t·i=0;·i<5;·i++) 
42 ·38·sign[i]·=·(s[i])·?·-1.0·:·1.0; 
43 ·3947 ·39
 48 41·const·LocalKey&·localKey·(std::size_t·i)·const
 49 ·42·{
 50 ·43·return·li[i];
 51 ·44·}
 52 ·45
44 ·40·Scalar·r·=·1/std::sqrt(2); 
45 ·41 
46 ·42·n[0]·=·{·0.0,·0.0,·-1.0}; 
47 ·43·n[1]·=·{-1.0,·0.0,·0.0}; 
48 ·44·n[2]·=·{·r,·0.0,·r}; 
49 ·45·n[3]·=·{·0.0,·-1.0,·0.0}; 
50 ·46·n[4]·=·{·0.0,·r,·r}; 
51 ·47 
52 ·48·c[0]·=·1.0; 
53 ·49·c[1]·=·1/2.0; 
54 ·50·c[2]·=·1/2.0·*·std::sqrt(2); 
55 ·51·c[3]·=·1/2.0; 
56 ·52·c[4]·=·1/2.0·*·std::sqrt(2); 
57 ·53 
58 ·54·m[0]·=·{·0.5,·0.5,·0.0}; 
59 ·55·m[1]·=·{·0.0,·1/3.0,·1/3.0}; 
60 ·56·m[2]·=·{·2/3.0,·1/3.0,·1/3.0}; 
61 ·57·m[3]·=·{·1/3.0,·0.0,·1/3.0}; 
62 ·58·m[4]·=·{·1/3.0,·2/3.0,·1/3.0}; 
63 ·59·} 
64 ·60 
65 ·69·template<class·F,·class·C> 
66 70·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
67 ·71·{ 
68 ·72·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
69 DomainType>(ff); 
70 ·73 
71 ·74·out.resize(5); 
72 ·75·for(int·i=0;·i<5;·i++) 
73 ·76·out[i]·=·f(m[i]).dot(n[i])·*·c[i]·*·sign[i]; 
74 ·77·} 
75 ·78 
76 ·79·private:53 ·46·private:
 54 ·47·std::vector<LocalKey>·li;
77 ·80·//·Facet·orientations 
78 ·81·std::array<typename·LB::Traits::RangeFieldType,·5>·sign; 
79 ·82·//·Facet·area 
80 ·83·std::array<typename·LB::Traits::RangeFieldType,·5>·c; 
81 ·84 
82 ·85·//·Facet·normals 
83 ·86·std::array<typename·LB::Traits::DomainType,·5>·n; 
84 ·87·//·Facet·midpoints 
85 ·88·std::array<typename·LB::Traits::DomainType,·5>·m; 
86 ·89·};55 ·48·};
87 ·90}56 ·49}
88 ·91#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALINTERPOLATION_HH57 ·50#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALCOEFFICIENTS_HH
89 Dune58 Dune
90 Definition·bdfmcube.hh:1859 Definition·bdfmcube.hh:18
91 Dune::RT0PyramidLocalInterpolation 
92 First·order·Raviart-Thomas·shape·functions·on·the·reference·hexahedron.60 Dune::LocalKey
 61 Describe·position·of·one·degree·of·freedom.
 62 Definition·localkey.hh:23
 63 Dune::RT0PrismLocalCoefficients
 64 Layout·map·for·Raviart-Thomas-1·elements·on·prisms.
93 Definition·raviartthomas0pyramidlocalinterpolation.hh:2465 Definition·raviartthomas0prismlocalcoefficients.hh:24
94 Dune::RT0PyramidLocalInterpolation::interpolate 
95 void·interpolate(const·F·&ff,·std::vector<·C·>·&out)·const 
96 Interpolate·a·given·function·with·shape·functions. 
97 Definition·raviartthomas0pyramidlocalinterpolation.hh:70 
98 Dune::RT0PyramidLocalInterpolation::RT0PyramidLocalInterpolation 
99 RT0PyramidLocalInterpolation(std::bitset<·5·>·s=0) 
100 Make·set·number·s,·where·0·<=·s·<·32.66 Dune::RT0PrismLocalCoefficients::localKey
 67 const·LocalKey·&·localKey(std::size_t·i)·const
 68 get·i'th·index
 69 Definition·raviartthomas0prismlocalcoefficients.hh:41
 70 Dune::RT0PrismLocalCoefficients::size
 71 std::size_t·size()·const
 72 number·of·coefficients
101 Definition·raviartthomas0pyramidlocalinterpolation.hh:3373 Definition·raviartthomas0prismlocalcoefficients.hh:35
102 localinterpolation.hh74 Dune::RT0PrismLocalCoefficients::RT0PrismLocalCoefficients
 75 RT0PrismLocalCoefficients()
 76 Standard·constructor.
 77 Definition·raviartthomas0prismlocalcoefficients.hh:28
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 15 raviartthomas0prismlocalinterpolation.hh·File·Reference
 16 #include·<vector>
 17 #include·<dune/localfunctions/common/localinterpolation.hh>
14 raviartthomas2cube2d.hh·File·Reference 
15 #include·<dune/geometry/type.hh> 
16 #include·"../common/localfiniteelementtraits.hh" 
17 #include·"raviartthomas2cube2d/raviartthomas2cube2dlocalbasis.hh" 
18 #include·"raviartthomas2cube2d/raviartthomas2cube2dlocalcoefficients.hh" 
19 #include·"raviartthomas2cube2d/raviartthomas2cube2dlocalinterpolation.hh" 
20 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
21 ·Classes19 ·Classes
22 class· Dune::RT2Cube2DLocalFiniteElement<_D,_R_>20 class· Dune::RT0PrismLocalInterpolation<_LB_>
23  ······Second·order·Raviart-Thomas·shape·functions·on·cubes.·More...21  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·prism.
 22 ········More...
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25 ·Namespaces24 ·Namespaces
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27  26  
  
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 15 raviartthomas0prismlocalinterpolation.hh
15 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALFINITEELEMENT_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALINTERPOLATION_HH
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALFINITEELEMENT_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALINTERPOLATION_HH
23 ·724 ·7
24 ·8#include·<dune/geometry/type.hh>25 ·8#include·<vector>
25 ·926 ·9
 27 ·10#include·<dune/localfunctions/common/localinterpolation.hh>
 28 ·11
26 ·10#include·"../common/localfiniteelementtraits.hh" 
27 ·11#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalbasis.hh" 
28 ·12#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalcoefficients.hh" 
29 ·13#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalinterpolation.hh" 
30 ·14 
31 ·15namespace·Dune29 ·12namespace·Dune
32 ·16{30 ·13{
33 ·25·template<class·D,·class·R> 
34 26·class·RT2Cube2DLocalFiniteElement31 ·22·template<class·LB>
 32 23·class·RT0PrismLocalInterpolation
35 ·27·{33 ·24·{
36 ·2834 ·25
37 ·29·public:35 ·26·public:
 36 ·27
 37 33·RT0PrismLocalInterpolation·(std::bitset<5>·s·=·0)
38 ·30·typedef·LocalFiniteElementTraits< 
39 ·31·RT2Cube2DLocalBasis<D,R>, 
40 ·32·RT2Cube2DLocalCoefficients, 
41 33·RT2Cube2DLocalInterpolation<RT2Cube2DLocalBasis<D,R>·>·>·Traits; 
42 ·3438 ·34·{
43 36·RT2Cube2DLocalFiniteElement·() 
44 ·37·{} 
45 ·38 
46 44·RT2Cube2DLocalFiniteElement·(int·s)·: 
47 ·45·basis(s), 
48 ·46·interpolation(s) 
49 ·47·{} 
50 ·48 
51 49·const·typename·Traits::LocalBasisType&·localBasis·()·const 
52 ·50·{ 
53 ·51·return·basis; 
54 ·52·}39 ·35·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 40 ·36
 41 ·37·for·(size_t·i=0;·i<5;·i++)
 42 ·38·sign[i]·=·(s[i])·?·-1.0·:·1.0;
 43 ·39
 44 ·40·Scalar·r·=·1/std::sqrt(2);
 45 ·41
 46 ·42·n[0]·=·{·0.0,·-1.0,·0.0};
 47 ·43·n[1]·=·{-1.0,·0.0,·0.0};
 48 ·44·n[2]·=·{·r,·r,·0.0};
 49 ·45·n[3]·=·{·0.0,·0.0,·-1.0};
 50 ·46·n[4]·=·{·0.0,·0.0,·1.0};
 51 ·47
 52 ·48·c[0]·=·1.0;
 53 ·49·c[1]·=·1.0;
 54 ·50·c[2]·=·std::sqrt(2);
 55 ·51·c[3]·=·1/2.0;
 56 ·52·c[4]·=·1/2.0;
55 ·5357 ·53
56 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
57 ·55·{ 
58 ·56·return·coefficients;58 ·54·m[0]·=·{·0.5,·0.0,·0.5};
 59 ·55·m[1]·=·{·0.0,·0.5,·0.5};
 60 ·56·m[2]·=·{·0.5,·0.5,·0.5};
 61 ·57·m[3]·=·{·1/3.0,·1/3.0,·0.0};
 62 ·58·m[4]·=·{·1/3.0,·1/3.0,·1.0};
59 ·57·}63 ·59·}
60 ·58 
61 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
62 ·60·{64 ·60
 65 ·69·template<class·F,·class·C>
 66 70·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
63 ·61·return·interpolation; 
64 ·62·} 
65 ·63 
66 65·unsigned·int·size·()·const 
67 ·66·{ 
68 ·67·return·basis.size(); 
69 ·68·} 
70 ·69 
71 70·static·constexpr·GeometryType·type·() 
72 ·71·{67 ·71·{
73 ·72·return·GeometryTypes::quadrilateral;68 ·72·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 69 DomainType>(ff);
 70 ·73
 71 ·74·out.resize(5);
 72 ·75·for(int·i=0;·i<5;·i++)
 73 ·76·out[i]·=·f(m[i]).dot(n[i])·*·c[i]·*·sign[i];
74 ·73·}74 ·77·}
75 ·7475 ·78
76 ·75·private:76 ·79·private:
77 ·76·RT2Cube2DLocalBasis<D,R>·basis; 
78 ·77·RT2Cube2DLocalCoefficients·coefficients; 
79 ·78·RT2Cube2DLocalInterpolation<RT2Cube2DLocalBasis<D,R>·>·interpolation;77 ·80·//·Facet·orientations
 78 ·81·std::array<typename·LB::Traits::RangeFieldType,·5>·sign;
 79 ·82·//·Facet·area
 80 ·83·std::array<typename·LB::Traits::RangeFieldType,·5>·c;
 81 ·84
 82 ·85·//·Facet·normals
 83 ·86·std::array<typename·LB::Traits::DomainType,·5>·n;
 84 ·87·//·Facet·midpoints
 85 ·88·std::array<typename·LB::Traits::DomainType,·5>·m;
80 ·79·};86 ·89·};
81 ·80}87 ·90}
82 ·81#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALFINITEELEMENT_HH88 ·91#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALINTERPOLATION_HH
83 raviartthomas2cube2dlocalcoefficients.hh 
84 raviartthomas2cube2dlocalbasis.hh 
85 raviartthomas2cube2dlocalinterpolation.hh 
86 Dune89 Dune
87 Definition·bdfmcube.hh:1890 Definition·bdfmcube.hh:18
 91 Dune::RT0PrismLocalInterpolation
88 Dune::LocalFiniteElementTraits 
89 traits·helper·struct 
90 Definition·localfiniteelementtraits.hh:13 
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7 Loading...7 Loading...
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 Namespaces·|·Typedefs13 ····*·raviartthomas0cube3d
 14 Classes·|·Namespaces
14 raviartthomaslfecache.hh·File·Reference15 raviartthomas0cube3dall.hh·File·Reference
15 #include·<tuple>16 #include·<cstddef>
16 #include·<utility> 
17 #include·<dune/geometry/type.hh> 
18 #include·<dune/geometry/typeindex.hh>17 #include·<numeric>
 18 #include·<vector>
 19 #include·<dune/common/fmatrix.hh>
19 #include·<dune/localfunctions/raviartthomas.hh>20 #include·<dune/localfunctions/common/localbasis.hh>
 21 #include·<dune/localfunctions/common/localkey.hh>
20 #include·<dune/localfunctions/common/localfiniteelementvariantcache.hh>22 #include·<dune/localfunctions/common/localinterpolation.hh>
21 Go_to_the_source_code_of_this_file.23 Go_to_the_source_code_of_this_file.
 24 ·Classes
 25 class· Dune::RT0Cube3DLocalBasis<_D,_R_>
 26  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference
 27 ········hexahedron.·More...
 28  
 29 class· Dune::RT0Cube3DLocalInterpolation<_LB_>
 30  ······Lowest·order·Raviart-Thomas·shape·functions·on·the·reference
 31 ········hexahedron.·More...
 32  
 33 class· Dune::RT0Cube3DLocalCoefficients
 34  ······Layout·map·for·RT0·elements·on·quadrilaterals.·More...
 35  
22 ·Namespaces36 ·Namespaces
23 namespace· Dune37 namespace· Dune
24  38  
25 ·Typedefs 
26 template<class·D·,·class·R·,·std::size_t·dim,·std::size_t·order> 
27 using Dune::RaviartThomasLocalFiniteElementCache·= 
28 ·······LocalFiniteElementVariantCache<·Impl:: 
29 ·······ImplementedRaviartThomasLocalFiniteElements<·D,·R,·dim,·order·>·> 
30  ·····A·cache·that·stores·all·available·Raviart-Thomas·local·finite·elements 
31 ·······for·the·given·dimension·and·order. 
32   
  
33 ===============================================================================39 ===============================================================================
34 ·····Generated·by [doxygen]·1.9.840 ·····Generated·by [doxygen]·1.9.8
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9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 raviartthomaslfecache.hh14 ····*·raviartthomas0cube3d
 15 raviartthomas0cube3dall.hh
15 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMASLFECACHE_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_ALL_HH
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMASLFECACHE_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_ALL_HH
23 ·724 ·7
24 ·8#include·<tuple>25 ·8#include·<cstddef>
25 ·9#include·<utility>26 ·9#include·<numeric>
26 ·10 
27 ·11#include·<dune/geometry/type.hh> 
28 ·12#include·<dune/geometry/typeindex.hh>27 ·10#include·<vector>
 28 ·11
 29 ·12#include·<dune/common/fmatrix.hh>
29 ·1330 ·13
30 ·14#include·<dune/localfunctions/raviartthomas.hh>31 ·14#include·<dune/localfunctions/common/localbasis.hh>
 32 ·15#include·<dune/localfunctions/common/localkey.hh>
31 ·15#include·<dune/localfunctions/common/localfiniteelementvariantcache.hh>33 ·16#include·<dune/localfunctions/common/localinterpolation.hh>
32 ·1634 ·17
33 ·17namespace·Dune·{35 ·18namespace·Dune
 36 ·19{
34 ·18 
35 ·19namespace·Impl·{ 
36 ·20 
37 ·21·//·Provide·implemented·Raviart-Thomas·local·finite·elements 
38 ·22 
39 ·23·template<class·D,·class·R,·std::size_t·dim,·std::size_t·order> 
40 ·24·struct·ImplementedRaviartThomasLocalFiniteElements 
41 ·25·{}; 
42 ·26 
43 ·27·template<class·D,·class·R>37 ·28·template<class·D,·class·R>
 38 29·class·RT0Cube3DLocalBasis
44 ·28·struct·ImplementedRaviartThomasLocalFiniteElements<D,R,2,0>·:·public 
45 FixedDimLocalGeometryTypeIndex<2> 
46 ·29·{ 
47 ·30·using·FixedDimLocalGeometryTypeIndex<2>::index; 
48 ·31·static·auto·getImplementations() 
49 ·32·{39 ·30·{
50 ·33·return·std::make_tuple( 
51 ·34·std::make_pair(index(GeometryTypes::triangle),·[]()·{·return 
52 RT02DLocalFiniteElement<D,R>();·}), 
53 ·35·std::make_pair(index(GeometryTypes::quadrilateral),·[]()·{·return 
54 RT0Cube2DLocalFiniteElement<D,R>();·}) 
55 ·36·);40 ·31·public:
 41 ·32·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune::
 42 FieldVector<R,3>,
 43 33·Dune::FieldMatrix<R,3,3>·>·Traits;
 44 ·34
 45 36·RT0Cube3DLocalBasis·(unsigned·int·s·=·0)
56 ·37·}46 ·37·{
 47 ·38·sign0·=·sign1·=·sign2·=·sign3·=·sign4·=·sign5·=·1.0;
 48 ·39·if·(s&1)·sign0·=·-1.0;
 49 ·40·if·(s&2)·sign1·=·-1.0;
 50 ·41·if·(s&4)·sign2·=·-1.0;
 51 ·42·if·(s&8)·sign3·=·-1.0;
 52 ·43·if·(s&16)·sign4·=·-1.0;
 53 ·44·if·(s&32)·sign5·=·-1.0;
57 ·38·}; 
58 ·39 
59 ·40·template<class·D,·class·R> 
60 ·41·struct·ImplementedRaviartThomasLocalFiniteElements<D,R,2,1>·:·public 
61 FixedDimLocalGeometryTypeIndex<2> 
62 ·42·{ 
63 ·43·using·FixedDimLocalGeometryTypeIndex<2>::index; 
64 ·44·static·auto·getImplementations() 
65 ·45·{54 ·45·}
 55 ·46
 56 48·unsigned·int·size·()·const
 57 ·49·{
 58 ·50·return·6;
66 ·46·return·std::make_tuple( 
67 ·47·std::make_pair(index(GeometryTypes::triangle),·[]()·{·return 
68 RT12DLocalFiniteElement<D,R>();·}), 
69 ·48·std::make_pair(index(GeometryTypes::quadrilateral),·[]()·{·return 
70 RT1Cube2DLocalFiniteElement<D,R>();·}) 
71 ·49·); 
72 ·50·} 
73 ·51·};59 ·51·}
74 ·5260 ·52
 61 54·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 62 ·55·std::vector<typename·Traits::RangeType>&·out)·const
75 ·53·template<class·D,·class·R> 
76 ·54·struct·ImplementedRaviartThomasLocalFiniteElements<D,R,2,2>·:·public 
77 FixedDimLocalGeometryTypeIndex<2> 
78 ·55·{63 ·56·{
79 ·56·using·FixedDimLocalGeometryTypeIndex<2>::index; 
80 ·57·static·auto·getImplementations() 
81 ·58·{ 
82 ·59·return·std::make_tuple( 
83 ·60·std::make_pair(index(GeometryTypes::quadrilateral),·[]()·{·return 
84 RT2Cube2DLocalFiniteElement<D,R>();·}) 
85 ·61·);64 ·57·out.resize(6);
 65 ·58·out[0][0]·=·sign0*(in[0]-1.0);·out[0][1]=0.0;·out[0][2]=0.0;
 66 ·59·out[1][0]·=·sign1*(in[0]);·out[1][1]=0.0;·out[1][2]=0.0;
 67 ·60·out[2][0]·=·0.0;·out[2][1]=sign2*(in[1]-1.0);·out[2][2]=0.0;
 68 ·61·out[3][0]·=·0.0;·out[3][1]=sign3*(in[1]);·out[3][2]=0.0;
 69 ·62·out[4][0]·=·0.0;·out[4][1]=0.0;·out[4][2]=sign4*(in[2]-1.0);
 70 ·63·out[5][0]·=·0.0;·out[5][1]=0.0;·out[5][2]=sign5*(in[2]);
86 ·62·}71 ·64·}
 72 ·65
 73 ·67·inline·void
 74 68·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
 75 ·69·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
87 ·63·}; 
88 ·64 
89 ·65·template<class·D,·class·R> 
90 ·66·struct·ImplementedRaviartThomasLocalFiniteElements<D,R,3,0>·:·public 
91 FixedDimLocalGeometryTypeIndex<3> 
92 ·67·{ 
93 ·68·using·FixedDimLocalGeometryTypeIndex<3>::index; 
94 ·69·static·auto·getImplementations() 
95 ·70·{76 ·70·{
 77 ·71·out.resize(6);
 78 ·72·out[0][0][0]·=·sign0;·out[0][0][1]·=·0;·out[0][0][2]·=·0;
 79 ·73·out[0][1][0]·=·0;·out[0][1][1]·=·0;·out[0][1][2]·=·0;
 80 ·74·out[0][2][0]·=·0;·out[0][2][1]·=·0;·out[0][2][2]·=·0;
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 19 #include·"raviartthomas1cube2d/raviartthomas1cube2dlocalinterpolation.hh"
 20 #include·"raviartthomas1cube2d/raviartthomas1cube2dlocalcoefficients.hh"
19 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
20 ·Classes22 ·Classes
21 class· Dune::RT0Cube2DLocalFiniteElement<_D,_R_>23 class· Dune::RT1Cube2DLocalFiniteElement<_D,_R_>
22  ······Zero·order·Raviart-Thomas·shape·functions·on·rectangles.·More...24  ······First·order·Raviart-Thomas·shape·functions·on·quadrilaterals.·More...
23  25  
24 ·Namespaces26 ·Namespaces
25 namespace· Dune27 namespace· Dune
26  28  
  
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 raviartthomas0cube2d.hh14 raviartthomas1cube2d.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE2D_LOCALFINITEELEMENT_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALFINITEELEMENT_HH
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE2D_LOCALFINITEELEMENT_HH22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALFINITEELEMENT_HH
23 ·723 ·7
24 ·8#include·<dune/geometry/type.hh>24 ·8#include·<dune/geometry/type.hh>
25 ·925 ·9
26 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>26 ·10#include·"../common/localfiniteelementtraits.hh"
27 ·11#include·"raviartthomas0cube2d/raviartthomas0cube2dall.hh"27 ·11#include·"raviartthomas1cube2d/raviartthomas1cube2dlocalbasis.hh"
28 ·1228 ·12#include·"raviartthomas1cube2d/raviartthomas1cube2dlocalinterpolation.hh"
 29 ·13#include·"raviartthomas1cube2d/raviartthomas1cube2dlocalcoefficients.hh"
 30 ·14
29 ·13namespace·Dune31 ·15namespace·Dune
30 ·14{32 ·16{
 33 ·17
31 ·23·template<class·D,·class·R>34 ·26·template<class·D,·class·R>
32 24·class·RT0Cube2DLocalFiniteElement35 27·class·RT1Cube2DLocalFiniteElement
33 ·25·{36 ·28·{
 37 ·29
34 ·26·public:38 ·30·public:
35 ·27·typedef·LocalFiniteElementTraits<39 ·31·typedef·LocalFiniteElementTraits<
36 ·28·RT0Cube2DLocalBasis<D,R>,40 ·32·RT1Cube2DLocalBasis<D,R>,
37 ·29·RT0Cube2DLocalCoefficients,41 ·33·RT1Cube2DLocalCoefficients,
38 30·RT0Cube2DLocalInterpolation<RT0Cube2DLocalBasis<D,R>·>·>·Traits;42 34·RT1Cube2DLocalInterpolation<RT1Cube2DLocalBasis<D,R>·>·>·Traits;
39 ·3143 ·35
40 32·RT0Cube2DLocalFiniteElement·()44 37·RT1Cube2DLocalFiniteElement·()
41 ·33·{} 
42 ·34 
43 35·RT0Cube2DLocalFiniteElement·(int·s)·: 
44 ·36·basis(s), 
45 ·37·interpolation(s) 
46 ·38·{}45 ·38·{}
47 ·3946 ·39
 47 45·RT1Cube2DLocalFiniteElement·(int·s)·:
 48 ·46·basis(s),
 49 ·47·interpolation(s)
48 40·const·typename·Traits::LocalBasisType&·localBasis·()·const 
49 ·41·{ 
50 ·42·return·basis; 
51 ·43·} 
52 ·44 
53 45·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
54 ·46·{ 
55 ·47·return·coefficients; 
56 ·48·}50 ·48·{}
57 ·4951 ·49
58 50·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const52 50·const·typename·Traits::LocalBasisType&·localBasis·()·const
59 ·51·{53 ·51·{
60 ·52·return·interpolation;54 ·52·return·basis;
61 ·53·}55 ·53·}
62 ·5456 ·54
 57 55·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 58 ·56·{
 59 ·57·return·coefficients;
 60 ·58·}
 61 ·59
 62 60·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 63 ·61·{
 64 ·62·return·interpolation;
 65 ·63·}
 66 ·64
63 56·unsigned·int·size·()·const67 66·unsigned·int·size·()·const
64 ·57·{68 ·67·{
65 ·58·return·basis.size();69 ·68·return·basis.size();
66 ·59·}70 ·69·}
67 ·6071 ·70
68 61·static·constexpr·GeometryType·type·()72 71·static·constexpr·GeometryType·type·()
69 ·62·{73 ·72·{
70 ·63·return·GeometryTypes::quadrilateral;74 ·73·return·GeometryTypes::quadrilateral;
71 ·64·}75 ·74·}
72 ·6576 ·75
73 ·66·private:77 ·76·private:
74 ·67·RT0Cube2DLocalBasis<D,R>·basis;78 ·77·RT1Cube2DLocalBasis<D,R>·basis;
75 ·68·RT0Cube2DLocalCoefficients·coefficients;79 ·78·RT1Cube2DLocalCoefficients·coefficients;
76 ·69·RT0Cube2DLocalInterpolation<RT0Cube2DLocalBasis<D,R>·>·interpolation;80 ·79·RT1Cube2DLocalInterpolation<RT1Cube2DLocalBasis<D,R>·>·interpolation;
77 ·70·};81 ·80·};
78 ·71}82 ·81}
79 ·72#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE2D_LOCALFINITEELEMENT_HH83 ·82#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALFINITEELEMENT_HH
 84 raviartthomas1cube2dlocalcoefficients.hh
80 raviartthomas0cube2dall.hh85 raviartthomas1cube2dlocalbasis.hh
81 localfiniteelementtraits.hh86 raviartthomas1cube2dlocalinterpolation.hh
82 Dune87 Dune
83 Definition·bdfmcube.hh:1888 Definition·bdfmcube.hh:18
84 Dune::LocalFiniteElementTraits89 Dune::LocalFiniteElementTraits
85 traits·helper·struct90 traits·helper·struct
86 Definition·localfiniteelementtraits.hh:1391 Definition·localfiniteelementtraits.hh:13
87 Dune::LocalFiniteElementTraits::LocalBasisType92 Dune::LocalFiniteElementTraits::LocalBasisType
88 LB·LocalBasisType93 LB·LocalBasisType
89 Definition·localfiniteelementtraits.hh:1694 Definition·localfiniteelementtraits.hh:16
90 Dune::LocalFiniteElementTraits::LocalCoefficientsType95 Dune::LocalFiniteElementTraits::LocalCoefficientsType
91 LC·LocalCoefficientsType96 LC·LocalCoefficientsType
92 Definition·localfiniteelementtraits.hh:2097 Definition·localfiniteelementtraits.hh:20
93 Dune::LocalFiniteElementTraits::LocalInterpolationType98 Dune::LocalFiniteElementTraits::LocalInterpolationType
94 LI·LocalInterpolationType99 LI·LocalInterpolationType
95 Definition·localfiniteelementtraits.hh:24100 Definition·localfiniteelementtraits.hh:24
96 Dune::RT0Cube2DLocalFiniteElement101 Dune::RT1Cube2DLocalFiniteElement
97 Zero·order·Raviart-Thomas·shape·functions·on·rectangles.102 First·order·Raviart-Thomas·shape·functions·on·quadrilaterals.
98 Definition·raviartthomas0cube2d.hh:25103 Definition·raviartthomas1cube2d.hh:28
 104 Dune::RT1Cube2DLocalFiniteElement::type
 105 static·constexpr·GeometryType·type()
 106 Definition·raviartthomas1cube2d.hh:71
99 Dune::RT0Cube2DLocalFiniteElement::localCoefficients107 Dune::RT1Cube2DLocalFiniteElement::localCoefficients
100 const·Traits::LocalCoefficientsType·&·localCoefficients()·const108 const·Traits::LocalCoefficientsType·&·localCoefficients()·const
101 Definition·raviartthomas0cube2d.hh:45109 Definition·raviartthomas1cube2d.hh:55
102 Dune::RT0Cube2DLocalFiniteElement::RT0Cube2DLocalFiniteElement 
103 RT0Cube2DLocalFiniteElement() 
104 Definition·raviartthomas0cube2d.hh:32 
105 Dune::RT0Cube2DLocalFiniteElement::localInterpolation110 Dune::RT1Cube2DLocalFiniteElement::localInterpolation
106 const·Traits::LocalInterpolationType·&·localInterpolation()·const111 const·Traits::LocalInterpolationType·&·localInterpolation()·const
107 Definition·raviartthomas0cube2d.hh:50112 Definition·raviartthomas1cube2d.hh:60
108 Dune::RT0Cube2DLocalFiniteElement::Traits113 Dune::RT1Cube2DLocalFiniteElement::Traits
109 LocalFiniteElementTraits<·RT0Cube2DLocalBasis<·D,·R·>,114 LocalFiniteElementTraits<·RT1Cube2DLocalBasis<·D,·R·>,
110 RT0Cube2DLocalCoefficients,·RT0Cube2DLocalInterpolation<·RT0Cube2DLocalBasis<115 RT1Cube2DLocalCoefficients,·RT1Cube2DLocalInterpolation<·RT1Cube2DLocalBasis<
111 D,·R·>·>·>·Traits116 D,·R·>·>·>·Traits
112 Definition·raviartthomas0cube2d.hh:30117 Definition·raviartthomas1cube2d.hh:34
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13 ····*·raviartthomas3cube2d13 ····*·raviartthomassimplex
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas3cube2dlocalbasis.hh·File·Reference15 raviartthomassimplexbasis.hh·File·Reference
 16 #include·<fstream>
16 #include·<bitset> 
17 #include·<numeric> 
18 #include·<vector> 
19 #include·<dune/common/fmatrix.hh>17 #include·<dune/common/exceptions.hh>
20 #include·"../../common/localbasis.hh"18 #include·<dune/localfunctions/utility/defaultbasisfactory.hh>
 19 #include·"raviartthomassimplexinterpolation.hh"
 20 #include·"raviartthomassimplexprebasis.hh"
21 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
22 ·Classes22 ·Classes
 23 struct· Dune::RaviartThomasBasisFactory<_dim,_SF,_CF_>
23 class· Dune::RT3Cube2DLocalBasis<_D,_R_> 
24  ······Second·order·Raviart-Thomas·shape·functions·on·the·reference 
25 ········quadrilateral.·More... 
26  24  
27 ·Namespaces25 ·Namespaces
28 namespace· Dune26 namespace· Dune
29  27  
  
30 ===============================================================================28 ===============================================================================
31 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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11 ····*·dune11 ····*·dune
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13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomas3cube2d14 ····*·raviartthomassimplex
15 raviartthomas3cube2dlocalbasis.hh15 raviartthomassimplexbasis.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALBASIS_HH 
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALBASIS_HH22 ·5#ifndef·DUNE_RAVIARTTHOMASBASIS_HH
 23 ·6#define·DUNE_RAVIARTTHOMASBASIS_HH
24 ·724 ·7
25 ·8#include·<bitset>25 ·8#include·<fstream>
26 ·9#include·<numeric> 
27 ·10#include·<vector> 
28 ·11 
29 ·12#include·<dune/common/fmatrix.hh>26 ·9#include·<dune/common/exceptions.hh>
30 ·13 
31 ·14#include·"../../common/localbasis.hh" 
32 ·1527 ·10
 28 ·11#include·<dune/localfunctions/utility/defaultbasisfactory.hh>
 29 ·12#include·"raviartthomassimplexinterpolation.hh"
 30 ·13#include·"raviartthomassimplexprebasis.hh"
 31 ·14
33 ·16namespace·Dune32 ·15namespace·Dune
34 ·17{33 ·16{
35 ·27·template<class·D,·class·R> 
36 28·class·RT3Cube2DLocalBasis 
37 ·29·{34 ·17·/*
 35 ·18·*·`RTPreBasisFactory`·provides·a·basis·for·the·Raviart-Thomas·function
 36 space.
 37 ·19·*·`RaviartThomasL2InterpolationFactory`·provides·the·linear·functionals.
 38 ·20·*
 39 ·21·*·`Defaultbasisfactory::create`·first·builds·the·function·space·and·the
 40 linear·functionals.
 41 ·22·*·Then·the·constructor·of·`BasisMatrix`·gets·called.·There·the·matrix
 42 ·23·*
 43 ·24·*·\begin{equation}
 44 ·25·*·A_{i,j}·:=·N_j(\phi_i)
 45 ·26·*·\end{equation}
 46 ·27·*
 47 ·28·*·with·linear·functionals·$N_j$·and·basisfunctions·$\phi_i$·gets·assembled.
 48 ·29·*·Then·the·matrix·gets·inverted·and·is·then·used·as·a·coefficent·matrix·for
 49 the·standard·monomial·basis.
38 ·3050 ·30·*
39 ·31·public: 
40 ·32·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune:: 
41 FieldVector<R,2>, 
42 33·Dune::FieldMatrix<R,2,2>·>·Traits;51 ·31·*·For·more·details·on·the·theory·see·the·first·chapter·"Construction·of
 52 Local·Finite·Element·Spaces·Using·the·Generic·Reference·Elements"
 53 ·32·*·of·the·book·"Advances·in·Dune"·by·Dedner,·Flemisch·and·Klöfkorn·published
 54 in·2012.
 55 ·33·*/
43 ·3456 ·34
 57 ·35·template<·unsigned·int·dim,·class·SF,·class·CF·>
 58 36·struct·RaviartThomasBasisFactory
 59 ·37·:·public·DefaultBasisFactory<·RTPreBasisFactory<dim,CF>,
 60 ·38·RaviartThomasL2InterpolationFactory<dim,CF>,
 61 ·39·dim,dim,SF,CF·>
44 40·RT3Cube2DLocalBasis·(std::bitset<4>·s·=·0) 
45 ·41·{ 
46 ·42·sign0·=·(s[0])·?·-1.0·:·1.0; 
47 ·43·sign1·=·(s[1])·?·-1.0·:·1.0; 
48 ·44·sign2·=·(s[2])·?·-1.0·:·1.0; 
49 ·45·sign3·=·(s[3])·?·-1.0·:·1.0; 
50 ·46·} 
51 ·47 
52 49·unsigned·int·size·()·const 
53 ·50·{ 
54 ·51·return·40; 
55 ·52·} 
56 ·53 
57 60·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
58 ·61·std::vector<typename·Traits::RangeType>&·out)·const 
59 ·62·{ 
60 ·63·out.resize(40); 
61 ·64·auto·const&·x·=·in[0],·y·=·in[1]; 
62 ·65 
63 ·66·const·auto·tmp1·=·-·x*(x*(x*(35*x·-·80)·+·60)·-·16)·-·1; 
64 ·67·const·auto·tmp2·=·x*(x*(x*(35*x·-·80)·+·60)·-·16)·+·1; 
65 ·68·const·auto·tmp3·=·2*y·-·1; 
66 ·69·const·auto·tmp4·=·y*(6*y·-·6)·+·1; 
67 ·70·const·auto·tmp5·=·y*(y*(20*y·-·30)·+·12)·-·1; 
68 ·71·const·auto·tmp6·=·x*(x*(x*(35*x·-·60)·+·30)·-·4); 
69 ·72·const·auto·tmp7·=·-·y*(y*(y*(35*y·-·80)·+·60)·-·16)·-·1; 
70 ·73·const·auto·tmp8·=·y*(y*(y*(35*y·-·80)·+·60)·-·16)·+·1; 
71 ·74·const·auto·tmp9·=·2*x·-·1; 
72 ·75·const·auto·tmp10·=·x*(6*x·-·6)·+·1; 
73 ·76·const·auto·tmp11·=·x*(x*(20*x·-·30)·+·12)·-·1; 
74 ·77·const·auto·tmp12·=·y*(y*(y*(35*y·-·60)·+·30)·-·4); 
75 ·78·const·auto·tmp13·=·-x*(x*(x*(7*x·-·14)·+·9)·-·2); 
76 ·79·const·auto·tmp14·=·x*(x*(x*(7*x·-·14)·+·9)·-·2); 
77 ·80·const·auto·tmp15·=·x*(x*(2*x·-·3)·+·1); 
78 ·81·const·auto·tmp16·=·x*(x*(x*(5*x·-·10)·+·6)·-·1); 
79 ·82·const·auto·tmp17·=·-y*(y*(y*(7*y·-·14)·+·9)·-·2); 
80 ·83·const·auto·tmp18·=·y*(y*(2*y·-·3)·+·1); 
81 ·84·const·auto·tmp19·=·y*(y*(y*(5*y·-·10)·+·6)·-·1); 
82 ·85·const·auto·tmp20·=·y*(y*(y*(7*y·-·14)·+·9)·-·2); 
83 ·86 
84 ·87·out[0][0]=sign0*tmp1; 
85 ·88·out[0][1]=0; 
86 ·89·out[1][0]=(-3.0*tmp2*tmp3); 
87 ·90·out[1][1]=0; 
88 ·91·out[2][0]=sign0*(-5.0*tmp2*tmp4); 
89 ·92·out[2][1]=0; 
90 ·93·out[3][0]=(-7.0*tmp2*tmp5); 
91 ·94·out[3][1]=0; 
92 ·95 
93 ·96·out[4][0]=sign1*tmp6; 
94 ·97·out[4][1]=0; 
95 ·98·out[5][0]=(-3.0*tmp6*tmp3); 
96 ·99·out[5][1]=0; 
97 ·100·out[6][0]=sign1*(5.0*tmp6*tmp4); 
98 ·101·out[6][1]=0; 
99 ·102·out[7][0]=(-7.0*tmp6*tmp5); 
100 ·103·out[7][1]=0; 
101 ·104 
102 ·105·out[8][0]=0; 
103 ·106·out[8][1]=sign2*tmp7; 
104 ·107·out[9][0]=0; 
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8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas3cube2d13 ····*·raviartthomassimplex
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas3cube2dlocalinterpolation.hh·File·Reference15 raviartthomassimplexinterpolation.hh·File·Reference
16 #include·<vector>16 #include·<fstream>
 17 #include·<utility>
 18 #include·<dune/common/exceptions.hh>
17 #include·<dune/geometry/quadraturerules.hh>19 #include·<dune/geometry/quadraturerules.hh>
 20 #include·<dune/geometry/referenceelements.hh>
 21 #include·<dune/geometry/type.hh>
 22 #include·<dune/geometry/typeindex.hh>
18 #include·<dune/localfunctions/common/localinterpolation.hh>23 #include·<dune/localfunctions/common/localkey.hh>
 24 #include·<dune/localfunctions/utility/interpolationhelper.hh>
 25 #include·<dune/localfunctions/utility/polynomialbasis.hh>
 26 #include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>
19 Go_to_the_source_code_of_this_file.27 Go_to_the_source_code_of_this_file.
20 ·Classes28 ·Classes
21 class· Dune::RT3Cube2DLocalInterpolation<_LB_> 
22  ······Second·order·Raviart-Thomas·shape·functions·on·the·reference 
23 ········quadrilateral.·More...29 ·class· Dune::LocalCoefficientsContainer
 30  
 31 struct· Dune::RaviartThomasCoefficientsFactory<_dim_>
 32  
 33 struct· Dune::RTL2InterpolationBuilder<_dim,_Field_>
 34  
 35 ·class· Dune::RaviartThomasL2Interpolation<_dimension,_F_>
 36  ·······An·L2-based·interpolation·for·Raviart·Thomas.·More...
 37  
 38 struct· Dune::RaviartThomasL2InterpolationFactory<_dim,_Field_>
24  39  
25 ·Namespaces40 ·Namespaces
26 namespace· Dune41 namespace· Dune
27  42  
  
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14 ····*·raviartthomas3cube2d14 ····*·raviartthomassimplex
15 raviartthomas3cube2dlocalinterpolation.hh15 raviartthomassimplexinterpolation.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALINTERPOLATION_HH 
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALINTERPOLATION_HH22 ·5#ifndef
 23 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMASSIMPLEX_RAVIARTTHOMASSIMPLEXINTERPOLATION_HH
 24 ·6#define
 25 DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMASSIMPLEX_RAVIARTTHOMASSIMPLEXINTERPOLATION_HH
24 ·726 ·7
25 ·8#include·<vector> 
26 ·9 
27 ·10#include·<dune/geometry/quadraturerules.hh> 
28 ·11#include·<dune/localfunctions/common/localinterpolation.hh>27 ·8#include·<fstream>
 28 ·9#include·<utility>
 29 ·10
 30 ·11#include·<dune/common/exceptions.hh>
29 ·1231 ·12
 32 ·13#include·<dune/geometry/quadraturerules.hh>
 33 ·14#include·<dune/geometry/referenceelements.hh>
 34 ·15#include·<dune/geometry/type.hh>
 35 ·16#include·<dune/geometry/typeindex.hh>
 36 ·17
 37 ·18#include·<dune/localfunctions/common/localkey.hh>
 38 ·19#include·<dune/localfunctions/utility/interpolationhelper.hh>
 39 ·20#include·<dune/localfunctions/utility/polynomialbasis.hh>
 40 ·21#include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>
 41 ·22
30 ·13namespace·Dune42 ·23namespace·Dune
31 ·14{43 ·24{
32 ·15 
33 ·24·template<class·LB> 
34 25·class·RT3Cube2DLocalInterpolation 
35 ·26·{ 
36 ·2744 ·25
 45 ·26·//·Internal·Forward·Declarations
 46 ·27·//·-----------------------------
 47 ·28
 48 ·29·template·<·unsigned·int·dim,·class·Field·>
 49 ·30·struct·RaviartThomasL2InterpolationFactory;
 50 ·31
 51 ·32
 52 ·33
 53 ·34·//·LocalCoefficientsContainer
 54 ·35·//·--------------------------
 55 ·36
 56 ·37·class·LocalCoefficientsContainer
 57 ·38·{
 58 ·39·typedef·LocalCoefficientsContainer·This;
 59 ·40
37 ·28·public:60 ·41·public:
 61 ·42·template·<class·Setter>
 62 43·LocalCoefficientsContainer·(·const·Setter·&setter·)
38 ·29 
39 35·RT3Cube2DLocalInterpolation·(std::bitset<4>·s·=·0) 
40 ·36·{ 
41 ·37·for·(size_t·i=0;·i<4;·i++) 
42 ·38·sign_[i]·=·(s[i])·?·-1.0·:·1.0; 
43 ·39 
44 ·40·n_[0]·=·{-1.0,·0.0}; 
45 ·41·n_[1]·=·{·1.0,·0.0}; 
46 ·42·n_[2]·=·{·0.0,·-1.0}; 
47 ·43·n_[3]·=·{·0.0,·1.0}; 
48 ·44·}63 ·44·{
49 ·45 
50 ·54·template<typename·F,·typename·C> 
51 55·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const64 ·45·setter.setLocalKeys(localKey_);
 65 ·46·}
 66 ·47
 67 48·const·LocalKey·&localKey·(·const·unsigned·int·i·)·const
 68 ·49·{
 69 ·50·assert(·i·<·size()·);
 70 ·51·return·localKey_[·i·];
 71 ·52·}
 72 ·53
 73 54·std::size_t·size·()·const
52 ·56·{74 ·55·{
53 ·57·//·f·gives·v*outer·normal·at·a·point·on·the·edge! 
54 ·58·typedef·typename·LB::Traits::RangeFieldType·Scalar; 
55 ·59·typedef·typename·LB::Traits::DomainFieldType·Vector; 
56 ·60 
57 ·61·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
58 DomainType>(ff);75 ·56·return·localKey_.size();
 76 ·57·}
 77 ·58
 78 ·59·private:
 79 ·60·std::vector<·LocalKey·>·localKey_;
 80 ·61·};
59 ·6281 ·62
 82 ·63
 83 ·64
 84 ·65·//·RaviartThomasCoefficientsFactory
 85 ·66·//·--------------------------------
 86 ·67
 87 ·68·template·<·unsigned·int·dim·>
 88 69·struct·RaviartThomasCoefficientsFactory
60 ·63·out.resize(40); 
61 ·64·fill(out.begin(),·out.end(),·0.0); 
62 ·65 
63 ·66·const·int·qOrder·=·9; 
64 ·67·const·auto&·rule1·=·QuadratureRules<Scalar,1>::rule(GeometryTypes::cube(1), 
65 qOrder); 
66 ·68 
67 ·69·for·(auto&&·qp·:·rule1) 
68 ·70·{89 ·70·{
69 ·71·Scalar·qPos·=·qp.position(); 
70 ·72·typename·LB::Traits::DomainType·localPos;90 71·typedef·std::size_t·Key;
 91 72·typedef·const·LocalCoefficientsContainer·Object;
71 ·7392 ·73
 93 ·74·template<·GeometryType::Id·geometryId·>
 94 75·static·Object·*create(·const·Key·&key·)
 95 ·76·{
 96 ·77·typedef·RaviartThomasL2InterpolationFactory<_dim,_double_>
 97 InterpolationFactory;
 98 ·78·if(·!supports<·geometryId·>(·key·)·)
 99 ·79·return·nullptr;
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18 #include·"../../common/localkey.hh"17 #include·<utility>
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 19 #include·<dune/localfunctions/utility/polynomialbasis.hh>
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21 class· Dune::RT3Cube2DLocalCoefficients 
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15 raviartthomas3cube2dlocalcoefficients.hh15 raviartthomassimplexprebasis.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALCOEFFICIENTS_HH 
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALCOEFFICIENTS_HH22 ·5#ifndef·DUNE_RAVIARTTHOMASPREBASIS_HH
 23 ·6#define·DUNE_RAVIARTTHOMASPREBASIS_HH
24 ·724 ·7
25 ·8#include·<cstddef>25 ·8#include·<fstream>
26 ·9#include·<vector>26 ·9#include·<utility>
27 ·1027 ·10
28 ·11#include·"../../common/localkey.hh"28 ·11#include·<dune/geometry/type.hh>
29 ·1229 ·12
 30 ·13#include·<dune/localfunctions/utility/polynomialbasis.hh>
 31 ·14
30 ·13namespace·Dune32 ·15namespace·Dune
31 ·14{33 ·16{
32 22·class·RT3Cube2DLocalCoefficients34 ·17·template·<·GeometryType::Id·geometryId,·class·Field·>
 35 ·18·struct·RTVecMatrix;
 36 ·19
 37 ·20·template·<unsigned·int·dim,·class·Field>
 38 21·struct·RTPreBasisFactory
33 ·23·{39 ·22·{
34 ·24 
35 ·25·public: 
36 27·RT3Cube2DLocalCoefficients·()·:·li(40) 
37 ·28·{ 
38 ·29·for·(std::size_t·i·=·0;·i·<·4;·i++)40 23·typedef·MonomialBasisProvider<dim,Field>·MBasisFactory;
 41 24·typedef·typename·MBasisFactory::Object·MBasis;
 42 25·typedef·StandardEvaluator<MBasis>·EvalMBasis;
 43 26·typedef·PolynomialBasisWithMatrix<EvalMBasis,SparseCoeffMatrix<Field,dim>·>
 44 Basis;
 45 ·27
 46 28·typedef·const·Basis·Object;
 47 29·typedef·std::size_t·Key;
 48 ·30
 49 ·31·template·<unsigned·int·dd,·class·FF>
 50 32·struct·EvaluationBasisFactory
39 ·30·{51 ·33·{
 52 34·typedef·MonomialBasisProvider<dd,FF>·Type;
40 ·31·li[4*i]·=·LocalKey(i,1,0); 
41 ·32·li[4*i·+·1]·=·LocalKey(i,1,1); 
42 ·33·li[4*i·+·2]·=·LocalKey(i,1,2); 
43 ·34·li[4*i·+·3]·=·LocalKey(i,1,3); 
44 ·35·}53 ·35·};
45 ·36 
46 ·37·for·(std::size_t·i=0;·i<24;·i++)54 ·36·template<·GeometryType::Id·geometryId·>
 55 37·static·Object·*create·(·const·Key·&order·)
47 ·38·{56 ·38·{
48 ·39·li[16·+·i]·=·LocalKey(0,0,i);57 ·39·RTVecMatrix<geometryId,Field>·vecMatrix(order);
 58 ·40·MBasis·*mbasis·=·MBasisFactory::template·create<geometryId>(order+1);
 59 ·41·typename·std::remove_const<Object>::type·*tmBasis·=·new·typename·std::
 60 remove_const<Object>::type(*mbasis);
 61 ·42·tmBasis->fill(vecMatrix);
 62 ·43·return·tmBasis;
49 ·40·}63 ·44·}
50 ·41·} 
51 ·42 
52 44·std::size_t·size·()·const64 45·static·void·release(·Object·*object·)·{·delete·object;·}
 65 ·46·};
 66 ·47
 67 ·48·template·<GeometryType::Id·geometryId,·class·Field>
 68 49·struct·RTVecMatrix
53 ·45·{69 ·50·{
54 ·46·return·40; 
55 ·47·} 
56 ·48 
57 50·const·LocalKey&·localKey·(std::size_t·i)·const70 51·static·constexpr·GeometryType·geometry·=·geometryId;
 71 52·static·const·unsigned·int·dim·=·geometry.dim();
 72 53·typedef·MultiIndex<dim,Field>·MI;
 73 54·typedef·MonomialBasis<geometryId,MI>·MIBasis;
 74 55·RTVecMatrix(std::size_t·order)
 75 ·56·{
 76 ·57·/*
 77 ·58·*·Construction·of·Raviart-Thomas·elements·in·high·dimensions·see·"Mixed
 78 Finite·Elements·in·\R^3"·by·Nedelec,·1980.
 79 ·59·*
 80 ·60·*·Let·$\P_{n,k}$·be·the·space·of·polynomials·in·$n$·variables·with·degree
 81 $\leq·k$.
 82 ·61·*·The·space·of·Raviart-Thomas·functions·in·$n$·dimensions·with·index·$k$·is
 83 defined·as
 84 ·62·*
 85 ·63·*·\begin{equation*}
 86 ·64·*·RT_k·:=·(\P_{k-1})^n·\oplus·\widetilde·\P_k·x
 87 ·65·*·\end{equation*}
 88 ·66·*·with·$x=(x_1,x_2,\dots,·x_n)$·in·$n$·dimensions·and·$\widetilde·\P_k$·the
 89 homogeneous·polynomials·of·degree·$k$.
 90 ·67·*
 91 ·68·*·For·$RT_k$·holds
 92 ·69·*·\begin{equation*}
 93 ·70·*·(\P_{k-1})^n·\subset·RT_k·\subset·(\P_k)^n.
 94 ·71·*·\end{equation*}
 95 ·72·*
 96 ·73·*·We·construct·$(\P_k)^n$·and·and·only·use·the·monomials·contained·in
 97 $RT_k$.
 98 ·74·*
 99 ·75·*/
 100 ·76
 101 ·77·MIBasis·basis(order+1);
 102 ·78·FieldVector<·MI,·dim·>·x;
 103 ·79·/*
 104 ·80·*·Init·MultiIndices
 105 ·81·*·x[0]=(1,0,0)·x
 106 ·82·*·x[1]=(0,1,0)·y
 107 ·83·*·x[2]=(0,0,1)·z
 108 ·84·*/
 109 ·85·for(·unsigned·int·i·=·0;·i·<·dim;·++i·)
 110 ·86·x[·i·].set(·i,·1·);
 111 ·87·std::vector<·MI·>·val(·basis.size()·);
 112 ·88
 113 ·89·//·val·now·contains·all·monomials·in·$n$·dimensions·with·degree·$\leq
 114 order+1$
 115 ·90·basis.evaluate(·x,·val·);
 116 ·91
 117 ·92·col_·=·basis.size();
 118 ·93
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas1cube3d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
 14 raviartthomas0pyramid.hh·File·Reference
15 raviartthomas1cube3dlocalinterpolation.hh·File·Reference 
16 #include·<vector> 
17 #include·<dune/geometry/quadraturerules.hh>15 #include·<dune/geometry/type.hh>
18 #include·<dune/localfunctions/common/localinterpolation.hh>16 #include·"../common/localfiniteelementtraits.hh"
 17 #include·"raviartthomas0pyramid/raviartthomas0pyramidlocalbasis.hh"
 18 #include·"raviartthomas0pyramid/raviartthomas0pyramidlocalcoefficients.hh"
 19 #include·"raviartthomas0pyramid/raviartthomas0pyramidlocalinterpolation.hh"
19 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
20 ·Classes21 ·Classes
21 class· Dune::RT1Cube3DLocalInterpolation<_LB_>22 class· Dune::RT0PyramidLocalFiniteElement<_D,_R_>
22  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·hexahedron.23  ······First·order·Raviart-Thomas·shape·functions·on·pyramids.·More...
23 ········More... 
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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8 Loading...8 Loading...
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10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
 14 raviartthomas0pyramid.hh
14 ····*·raviartthomas1cube3d 
15 raviartthomas1cube3dlocalinterpolation.hh 
16 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALINTERPOLATION_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALINTERPOLATION_HH22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_HH
24 ·723 ·7
25 ·8#include·<vector>24 ·8#include·<dune/geometry/type.hh>
26 ·925 ·9
27 ·10#include·<dune/geometry/quadraturerules.hh> 
28 ·11#include·<dune/localfunctions/common/localinterpolation.hh> 
29 ·1226 ·10#include·"../common/localfiniteelementtraits.hh"
 27 ·11#include·"raviartthomas0pyramid/raviartthomas0pyramidlocalbasis.hh"
 28 ·12#include·"raviartthomas0pyramid/raviartthomas0pyramidlocalcoefficients.hh"
 29 ·13#include·"raviartthomas0pyramid/raviartthomas0pyramidlocalinterpolation.hh"
 30 ·14
30 ·13namespace·Dune31 ·15namespace·Dune
31 ·14{32 ·16{
32 ·23·template<class·LB> 
33 24·class·RT1Cube3DLocalInterpolation33 ·25·template<class·D,·class·R>
 34 26·class·RT0PyramidLocalFiniteElement
34 ·25·{35 ·27·{
35 ·26 
36 ·27·public: 
37 ·2836 ·28
38 34·RT1Cube3DLocalInterpolation·(std::bitset<6>·s·=·0) 
39 ·35·{ 
40 ·36·for·(size_t·i=0;·i<6;·i++) 
41 ·37·sign_[i]·=·(s[i])·?·-1.0·:·1.0;37 ·29·public:
 38 ·30·typedef·LocalFiniteElementTraits<
 39 ·31·RT0PyramidLocalBasis<D,R>,
 40 ·32·RT0PyramidLocalCoefficients,
 41 33·RT0PyramidLocalInterpolation<RT0PyramidLocalBasis<D,R>·>·>·Traits;
 42 ·34
 43 36·RT0PyramidLocalFiniteElement·()
 44 ·37·{}
42 ·3845 ·38
 46 44·RT0PyramidLocalFiniteElement·(int·s)·:
 47 ·45·basis(s),
 48 ·46·interpolation(s)
 49 ·47·{}
 50 ·48
 51 49·const·typename·Traits::LocalBasisType&·localBasis·()·const
43 ·39·n_[0]·=·{-1.0,·0.0,·0.0}; 
44 ·40·n_[1]·=·{·1.0,·0.0,·0.0}; 
45 ·41·n_[2]·=·{·0.0,·-1.0,·0.0}; 
46 ·42·n_[3]·=·{·0.0,·1.0,·0.0}; 
47 ·43·n_[4]·=·{·0.0,·0.0,·-1.0}; 
48 ·44·n_[5]·=·{·0.0,·0.0,·1.0}; 
49 ·45·} 
50 ·46 
51 ·55·template<class·F,·class·C> 
52 56·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
53 ·57·{52 ·50·{
54 ·58·//·f·gives·v*outer·normal·at·a·point·on·the·edge! 
55 ·59·typedef·typename·LB::Traits::RangeFieldType·Scalar; 
56 ·60·typedef·typename·LB::Traits::DomainFieldType·Vector; 
57 ·61 
58 ·62·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
59 DomainType>(ff);53 ·51·return·basis;
 54 ·52·}
 55 ·53
 56 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 57 ·55·{
 58 ·56·return·coefficients;
 59 ·57·}
 60 ·58
 61 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 62 ·60·{
 63 ·61·return·interpolation;
 64 ·62·}
60 ·6365 ·63
 66 65·unsigned·int·size·()·const
61 ·64·out.resize(36); 
62 ·65·fill(out.begin(),·out.end(),·0.0); 
63 ·6667 ·66·{
 68 ·67·return·basis.size();
 69 ·68·}
64 ·67·const·int·qOrder·=·3; 
65 ·68·const·auto&·rule1·=·QuadratureRules<Scalar,2>::rule(GeometryTypes::cube(2), 
66 qOrder); 
67 ·6970 ·69
68 ·70·for·(auto&&·qp·:·rule1)71 70·static·constexpr·GeometryType·type·()
69 ·71·{72 ·71·{
70 ·72·Dune::FieldVector<Scalar,2>·qPos·=·qp.position(); 
71 ·73·typename·LB::Traits::DomainType·localPos;73 ·72·return·GeometryTypes::pyramid;
 74 ·73·}
72 ·7475 ·74
73 ·75·localPos·=·{0.0,·qPos[0],·qPos[1]}; 
74 ·76·auto·y·=·f(localPos); 
75 ·77·out[0]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*qp.weight()*sign_ 
76 [0]; 
77 ·78·out[6]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*(2.0*qPos[0]·- 
78 1.0)*qp.weight(); 
79 ·79·out[12]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*(2.0*qPos[1]·- 
80 1.0)*qp.weight(); 
81 ·80·out[18]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*(2.0*qPos[0]·- 
82 1.0)*(2.0*qPos[1]·-·1.0)*qp.weight(); 
83 ·81 
84 ·82·localPos·=·{1.0,·qPos[0],·qPos[1]}; 
85 ·83·y·=·f(localPos); 
86 ·84·out[1]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1]·+·y[2]*n_[1][2])*qp.weight()*sign_ 
87 [1]; 
88 ·85·out[7]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1]·+·y[2]*n_[1][2])*(1.0·-·2.0*qPos 
89 [0])*qp.weight(); 
90 ·86·out[13]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1]·+·y[2]*n_[1][2])*(1.0·-·2.0*qPos 
91 [1])*qp.weight(); 
92 ·87·out[19]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1]·+·y[2]*n_[1][2])*(1.0·-·2.0*qPos 
93 [0])*(2.0*qPos[1]·-·1.0)*qp.weight(); 
94 ·88 
95 ·89·localPos·=·{qPos[0],·0.0,·qPos[1]}; 
96 ·90·y·=·f(localPos); 
97 ·91·out[2]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1]·+·y[2]*n_[2][2])*qp.weight()*sign_ 
98 [2]; 
99 ·92·out[8]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1]·+·y[2]*n_[2][2])*(1.0·-·2.0*qPos 
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8 <title>dune-localfunctions:·raviartthomas1cube3dlocalbasis.hh·File·Reference</title>8 <title>dune-localfunctions:·raviartthomas12d.hh·File·Reference</title>
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas1cube3d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 raviartthomas1cube3dlocalbasis.hh·File·Reference14 raviartthomas12d.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
16 #include·<numeric> 
17 #include·<vector> 
18 #include·<dune/common/fmatrix.hh> 
19 #include·"../../common/localbasis.hh"16 #include·"../common/localfiniteelementtraits.hh"
 17 #include·"raviartthomas12d/raviartthomas12dlocalbasis.hh"
 18 #include·"raviartthomas12d/raviartthomas12dlocalcoefficients.hh"
 19 #include·"raviartthomas12d/raviartthomas12dlocalinterpolation.hh"
20 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
21 ·Classes21 ·Classes
22 class· Dune::RT1Cube3DLocalBasis<_D,_R_>22 class· Dune::RT12DLocalFiniteElement<_D,_R_>
23  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·hexahedron.23  ······First·order·Raviart-Thomas·shape·functions·on·triangles.·More...
24 ········More... 
25  24  
26 ·Namespaces25 ·Namespaces
27 namespace· Dune26 namespace· Dune
28  27  
  
29 ===============================================================================28 ===============================================================================
30 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·raviartthomas1cube3dlocalbasis.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas12d.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
 14 raviartthomas12d.hh
14 ····*·raviartthomas1cube3d 
15 raviartthomas1cube3dlocalbasis.hh 
16 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALBASIS_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALFINITEELEMENT_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALBASIS_HH22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALFINITEELEMENT_HH
24 ·723 ·7
25 ·8#include·<numeric> 
26 ·9#include·<vector> 
27 ·10 
28 ·11#include·<dune/common/fmatrix.hh> 
29 ·12 
30 ·13#include·"../../common/localbasis.hh"24 ·8#include·<dune/geometry/type.hh>
 25 ·9
 26 ·10#include·"../common/localfiniteelementtraits.hh"
 27 ·11#include·"raviartthomas12d/raviartthomas12dlocalbasis.hh"
 28 ·12#include·"raviartthomas12d/raviartthomas12dlocalcoefficients.hh"
 29 ·13#include·"raviartthomas12d/raviartthomas12dlocalinterpolation.hh"
31 ·1430 ·14
32 ·15namespace·Dune31 ·15namespace·Dune
33 ·16{32 ·16{
 33 ·17
34 ·26·template<class·D,·class·R>34 ·26·template<class·D,·class·R>
35 27·class·RT1Cube3DLocalBasis35 27·class
 36 ·28·RT12DLocalFiniteElement
36 ·28·{37 ·29·{
37 ·2938 ·30
38 ·30·public:39 ·31·public:
 40 ·32·typedef
 41 LocalFiniteElementTraits<RT12DLocalBasis<D,R>,RT12DLocalCoefficients,
 42 33·RT12DLocalInterpolation<RT12DLocalBasis<D,R>·>·>·Traits;
 43 ·34
 44 36·RT12DLocalFiniteElement·()
 45 ·37·{}
 46 ·38
 47 44·RT12DLocalFiniteElement·(int·s)·:
 48 ·45·basis(s),
 49 ·46·interpolation(s)
39 ·31·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune:: 
40 FieldVector<R,3>, 
41 32·Dune::FieldMatrix<R,3,3>·>·Traits; 
42 ·33 
43 39·RT1Cube3DLocalBasis·(unsigned·int·s·=·0) 
44 ·40·{ 
45 ·41·sign0·=·sign1·=·sign2·=·sign3·=·sign4·=·sign5·=·1.0; 
46 ·42·if·(s·&·1) 
47 ·43·{ 
48 ·44·sign0·=·-1.0; 
49 ·45·} 
50 ·46·if·(s·&·2) 
51 ·47·{50 ·47·{}
 51 ·48
 52 49·const·typename·Traits::LocalBasisType&·localBasis·()·const
52 ·48·sign1·=·-1.0; 
53 ·49·} 
54 ·50·if·(s·&·4) 
55 ·51·{53 ·50·{
56 ·52·sign2·=·-1.0;54 ·51·return·basis;
57 ·53·}55 ·52·}
58 ·54·if·(s·&·8)56 ·53
 57 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
59 ·55·{58 ·55·{
60 ·56·sign3·=·-1.0;59 ·56·return·coefficients;
61 ·57·}60 ·57·}
 61 ·58
 62 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
62 ·58·if·(s·&·16) 
63 ·59·{ 
64 ·60·sign4·=·-1.0; 
65 ·61·} 
66 ·62·if·(s·&·32) 
67 ·63·{63 ·60·{
68 ·64·sign5·=·-1.0;64 ·61·return·interpolation;
69 ·65·}65 ·62·}
 66 ·63
70 ·66·} 
71 ·67 
72 69·unsigned·int·size·()·const67 65·unsigned·int·size·()·const
73 ·70·{ 
74 ·71·return·36; 
75 ·72·} 
76 ·73 
77 80·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
78 ·81·std::vector<typename·Traits::RangeType>&·out)·const 
79 ·82·{ 
80 ·83·out.resize(36); 
81 ·84 
82 ·85·out[0][0]·=·sign0*(-3.0*in[0]*in[0]·+·4.0*in[0]·-·1.0); 
83 ·86·out[0][1]·=·0.0; 
84 ·87·out[0][2]·=·0.0; 
85 ·88 
86 ·89·out[1][0]·=·sign1*(-2.0*in[0]·+·3.0*in[0]*in[0]); 
87 ·90·out[1][1]·=·0.0; 
88 ·91·out[1][2]·=·0.0; 
89 ·92 
90 ·93·out[2][0]·=·0.0; 
91 ·94·out[2][1]·=·sign2*(-3.0*in[1]*in[1]·+·4.0*in[1]·-·1.0); 
92 ·95·out[2][2]·=·0.0; 
93 ·96 
94 ·97·out[3][0]·=·0.0; 
95 ·98·out[3][1]·=·sign3*(3.0*in[1]*in[1]·-·2.0*in[1]); 
96 ·99·out[3][2]·=·0.0; 
97 ·100 
98 ·101·out[4][0]·=·0.0; 
99 ·102·out[4][1]·=·0.0; 
100 ·103·out[4][2]·=·sign4*(-3.0*in[2]*in[2]·+·4.0*in[2]·-·1.0); 
101 ·104 
102 ·105·out[5][0]·=·0.0; 
103 ·106·out[5][1]·=·0.0; 
104 ·107·out[5][2]·=·sign5*(3.0*in[2]*in[2]·-·2.0*in[2]); 
105 ·108 
106 ·109·out[6][0]·=·-18.0*in[0]*in[0]*in[1]·+·9.0*in[0]*in[0]·+·24.0*in[0]*in[1]·- 
107 6.0*in[1]·-12.0*in[0]·+·3.0; 
108 ·110·out[6][1]·=·0.0; 
109 ·111·out[6][2]·=·0.0; 
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12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas1cube3d13 ····*·raviartthomas3cube2d
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas1cube3dlocalcoefficients.hh·File·Reference15 raviartthomas3cube2dlocalinterpolation.hh·File·Reference
16 #include·<cstddef> 
17 #include·<vector>16 #include·<vector>
18 #include·"../../common/localkey.hh"17 #include·<dune/geometry/quadraturerules.hh>
 18 #include·<dune/localfunctions/common/localinterpolation.hh>
19 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
20 ·Classes20 ·Classes
21 class· Dune::RT1Cube3DLocalCoefficients 
22  ······Layout·map·for·Raviart-Thomas-1·elements·on·quadrilaterals.·More...21 class· Dune::RT3Cube2DLocalInterpolation<_LB_>
 22  ······Second·order·Raviart-Thomas·shape·functions·on·the·reference
 23 ········quadrilateral.·More...
23  24  
24 ·Namespaces25 ·Namespaces
25 namespace· Dune26 namespace· Dune
26  27  
  
27 ===============================================================================28 ===============================================================================
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8 <title>dune-localfunctions:·raviartthomas1cube3dlocalcoefficients.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas3cube2dlocalinterpolation.hh·Source·File</title>
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11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomas1cube3d14 ····*·raviartthomas3cube2d
15 raviartthomas1cube3dlocalcoefficients.hh15 raviartthomas3cube2dlocalinterpolation.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALCOEFFICIENTS_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALINTERPOLATION_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALCOEFFICIENTS_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALINTERPOLATION_HH
24 ·724 ·7
25 ·8#include·<cstddef> 
26 ·9#include·<vector>25 ·8#include·<vector>
27 ·10 
28 ·11#include·"../../common/localkey.hh"26 ·9
 27 ·10#include·<dune/geometry/quadraturerules.hh>
 28 ·11#include·<dune/localfunctions/common/localinterpolation.hh>
29 ·1229 ·12
30 ·13namespace·Dune30 ·13namespace·Dune
31 ·14{31 ·14{
32 ·1532 ·15
33 23·class·RT1Cube3DLocalCoefficients33 ·24·template<class·LB>
 34 25·class·RT3Cube2DLocalInterpolation
34 ·24·{35 ·26·{
35 ·2536 ·27
36 ·26·public:37 ·28·public:
37 28·RT1Cube3DLocalCoefficients·()·:·li(36) 
38 ·29·{38 ·29
 39 35·RT3Cube2DLocalInterpolation·(std::bitset<4>·s·=·0)
 40 ·36·{
39 ·30·for·(std::size_t·i·=·0;·i·<·6;·i++)41 ·37·for·(size_t·i=0;·i<4;·i++)
 42 ·38·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
40 ·31·{ 
41 ·32·li[i]·=·LocalKey(i,1,0); 
42 ·33·li[i·+·6]·=·LocalKey(i,1,1); 
43 ·34·li[i·+·12]·=·LocalKey(i,1,2); 
44 ·35·li[i·+·18]·=·LocalKey(i,1,3); 
45 ·36·} 
46 ·37 
47 ·38·for·(std::size_t·i·=·0;·i·<·12;·i++) 
48 ·39·{43 ·39
49 ·40·li[i·+·24]·=·LocalKey(0,0,i);44 ·40·n_[0]·=·{-1.0,·0.0};
 45 ·41·n_[1]·=·{·1.0,·0.0};
 46 ·42·n_[2]·=·{·0.0,·-1.0};
 47 ·43·n_[3]·=·{·0.0,·1.0};
50 ·41·}48 ·44·}
51 ·42·} 
52 ·43 
53 45·std::size_t·size·()·const49 ·45
 50 ·54·template<typename·F,·typename·C>
 51 55·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
54 ·46·{52 ·56·{
55 ·47·return·36; 
56 ·48·} 
57 ·49 
58 51·const·LocalKey&·localKey·(std::size_t·i)·const 
59 ·52·{ 
60 ·53·return·li[i];53 ·57·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 54 ·58·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 55 ·59·typedef·typename·LB::Traits::DomainFieldType·Vector;
 56 ·60
 57 ·61·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 58 DomainType>(ff);
 59 ·62
 60 ·63·out.resize(40);
 61 ·64·fill(out.begin(),·out.end(),·0.0);
 62 ·65
 63 ·66·const·int·qOrder·=·9;
 64 ·67·const·auto&·rule1·=·QuadratureRules<Scalar,1>::rule(GeometryTypes::cube(1),
 65 qOrder);
 66 ·68
 67 ·69·for·(auto&&·qp·:·rule1)
 68 ·70·{
 69 ·71·Scalar·qPos·=·qp.position();
 70 ·72·typename·LB::Traits::DomainType·localPos;
 71 ·73
 72 ·74·localPos·=·{0.0,·qPos};
 73 ·75·auto·y·=·f(localPos);
 74 ·76·out[0]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*qp.weight()*sign_[0];
 75 ·77·out[1]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*(2.0*qPos·-·1.0)*qp.weight();
 76 ·78·out[2]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*(6.0*qPos*qPos·-·6.0*qPos·+
 77 1.0)*qp.weight()*sign_[0];
 78 ·79·out[3]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*(20.0*qPos*qPos*qPos·-
 79 30.0*qPos*qPos·+·12.0*qPos·-·1.0)*qp.weight();
 80 ·80
 81 ·81·localPos·=·{1.0,·qPos};
 82 ·82·y·=·f(localPos);
 83 ·83·out[4]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*qp.weight()*sign_[1];
 84 ·84·out[5]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*(1.0·-·2.0*qPos)*qp.weight();
 85 ·85·out[6]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*(6.0*qPos*qPos·-·6.0*qPos·+
 86 1.0)*qp.weight()*sign_[1];
 87 ·86·out[7]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*(-20.0*qPos*qPos*qPos·+
 88 30.0*qPos*qPos·-·12.0*qPos·+·1.0)*qp.weight();
 89 ·87
 90 ·88·localPos·=·{qPos,·0.0};
 91 ·89·y·=·f(localPos);
 92 ·90·out[8]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*qp.weight()*sign_[2];
 93 ·91·out[9]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*(1.0·-·2.0*qPos)*qp.weight();
 94 ·92·out[10]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*(6.0*qPos*qPos·-·6.0*qPos·+
 95 1.0)*qp.weight()*sign_[2];
 96 ·93·out[11]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*(-20.0*qPos*qPos*qPos·+
 97 30.0*qPos*qPos·-·12.0*qPos·+·1.0)*qp.weight();
 98 ·94
 99 ·95·localPos·=·{qPos,·1.0};
 100 ·96·y·=·f(localPos);
 101 ·97·out[12]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*qp.weight()*sign_[3];
 102 ·98·out[13]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*(2.0*qPos·-·1.0)*qp.weight();
 103 ·99·out[14]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*(6.0*qPos*qPos·-·6.0*qPos·+
 104 1.0)*qp.weight()*sign_[3];
 105 ·100·out[15]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*(20.0*qPos*qPos*qPos·-
 106 30.0*qPos*qPos·+·12.0*qPos·-·1.0)*qp.weight();
 107 ·101·}
 108 ·102
 109 ·103·const·auto&·rule2·=·QuadratureRules<Vector,2>::rule(GeometryTypes::cube
 110 (2),·qOrder);
 111 ·104
 112 ·105·for·(auto&&·qp·:·rule2)
 113 ·106·{
 114 ·107·auto·qPos·=·qp.position();
 115 ·108
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·raviartthomas12 ····*·raviartthomas
 13 ····*·raviartthomas3cube2d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 raviartthomas1cube2d.hh·File·Reference15 raviartthomas3cube2dlocalbasis.hh·File·Reference
15 #include·<dune/geometry/type.hh> 
16 #include·"../common/localfiniteelementtraits.hh" 
17 #include·"raviartthomas1cube2d/raviartthomas1cube2dlocalbasis.hh" 
18 #include·"raviartthomas1cube2d/raviartthomas1cube2dlocalinterpolation.hh" 
19 #include·"raviartthomas1cube2d/raviartthomas1cube2dlocalcoefficients.hh"16 #include·<bitset>
 17 #include·<numeric>
 18 #include·<vector>
 19 #include·<dune/common/fmatrix.hh>
 20 #include·"../../common/localbasis.hh"
20 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
21 ·Classes22 ·Classes
22 class· Dune::RT1Cube2DLocalFiniteElement<_D,_R_>23 class· Dune::RT3Cube2DLocalBasis<_D,_R_>
23  ······First·order·Raviart-Thomas·shape·functions·on·quadrilaterals.·More...24  ······Second·order·Raviart-Thomas·shape·functions·on·the·reference
 25 ········quadrilateral.·More...
24  26  
25 ·Namespaces27 ·Namespaces
26 namespace· Dune28 namespace· Dune
27  29  
  
28 ===============================================================================30 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.831 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·raviartthomas1cube2d.hh·Source·File</title>8 <title>dune-localfunctions:·raviartthomas3cube2dlocalbasis.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
 14 ····*·raviartthomas3cube2d
14 raviartthomas1cube2d.hh15 raviartthomas3cube2dlocalbasis.hh
15 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALFINITEELEMENT_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALBASIS_HH
22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALFINITEELEMENT_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALBASIS_HH
23 ·724 ·7
24 ·8#include·<dune/geometry/type.hh> 
25 ·9 
26 ·10#include·"../common/localfiniteelementtraits.hh" 
27 ·11#include·"raviartthomas1cube2d/raviartthomas1cube2dlocalbasis.hh" 
28 ·12#include·"raviartthomas1cube2d/raviartthomas1cube2dlocalinterpolation.hh" 
29 ·13#include·"raviartthomas1cube2d/raviartthomas1cube2dlocalcoefficients.hh" 
30 ·1425 ·8#include·<bitset>
 26 ·9#include·<numeric>
 27 ·10#include·<vector>
 28 ·11
 29 ·12#include·<dune/common/fmatrix.hh>
 30 ·13
 31 ·14#include·"../../common/localbasis.hh"
 32 ·15
31 ·15namespace·Dune33 ·16namespace·Dune
32 ·16{ 
33 ·1734 ·17{
34 ·26·template<class·D,·class·R>35 ·27·template<class·D,·class·R>
35 27·class·RT1Cube2DLocalFiniteElement36 28·class·RT3Cube2DLocalBasis
36 ·28·{37 ·29·{
37 ·2938 ·30
38 ·30·public:39 ·31·public:
 40 ·32·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
 41 FieldVector<R,2>,
 42 33·Dune::FieldMatrix<R,2,2>·>·Traits;
 43 ·34
 44 40·RT3Cube2DLocalBasis·(std::bitset<4>·s·=·0)
39 ·31·typedef·LocalFiniteElementTraits< 
40 ·32·RT1Cube2DLocalBasis<D,R>, 
41 ·33·RT1Cube2DLocalCoefficients, 
42 34·RT1Cube2DLocalInterpolation<RT1Cube2DLocalBasis<D,R>·>·>·Traits; 
43 ·35 
44 37·RT1Cube2DLocalFiniteElement·() 
45 ·38·{} 
46 ·39 
47 45·RT1Cube2DLocalFiniteElement·(int·s)·: 
48 ·46·basis(s), 
49 ·47·interpolation(s) 
50 ·48·{} 
51 ·49 
52 50·const·typename·Traits::LocalBasisType&·localBasis·()·const 
53 ·51·{45 ·41·{
 46 ·42·sign0·=·(s[0])·?·-1.0·:·1.0;
 47 ·43·sign1·=·(s[1])·?·-1.0·:·1.0;
 48 ·44·sign2·=·(s[2])·?·-1.0·:·1.0;
 49 ·45·sign3·=·(s[3])·?·-1.0·:·1.0;
54 ·52·return·basis; 
55 ·53·} 
56 ·54 
57 55·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
58 ·56·{ 
59 ·57·return·coefficients; 
60 ·58·} 
61 ·59 
62 60·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
63 ·61·{ 
64 ·62·return·interpolation; 
65 ·63·}50 ·46·}
66 ·6451 ·47
67 66·unsigned·int·size·()·const52 49·unsigned·int·size·()·const
 53 ·50·{
 54 ·51·return·40;
 55 ·52·}
 56 ·53
 57 60·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 58 ·61·std::vector<typename·Traits::RangeType>&·out)·const
68 ·67·{59 ·62·{
69 ·68·return·basis.size();60 ·63·out.resize(40);
 61 ·64·auto·const&·x·=·in[0],·y·=·in[1];
 62 ·65
 63 ·66·const·auto·tmp1·=·-·x*(x*(x*(35*x·-·80)·+·60)·-·16)·-·1;
 64 ·67·const·auto·tmp2·=·x*(x*(x*(35*x·-·80)·+·60)·-·16)·+·1;
 65 ·68·const·auto·tmp3·=·2*y·-·1;
 66 ·69·const·auto·tmp4·=·y*(6*y·-·6)·+·1;
 67 ·70·const·auto·tmp5·=·y*(y*(20*y·-·30)·+·12)·-·1;
 68 ·71·const·auto·tmp6·=·x*(x*(x*(35*x·-·60)·+·30)·-·4);
 69 ·72·const·auto·tmp7·=·-·y*(y*(y*(35*y·-·80)·+·60)·-·16)·-·1;
 70 ·73·const·auto·tmp8·=·y*(y*(y*(35*y·-·80)·+·60)·-·16)·+·1;
 71 ·74·const·auto·tmp9·=·2*x·-·1;
 72 ·75·const·auto·tmp10·=·x*(6*x·-·6)·+·1;
 73 ·76·const·auto·tmp11·=·x*(x*(20*x·-·30)·+·12)·-·1;
 74 ·77·const·auto·tmp12·=·y*(y*(y*(35*y·-·60)·+·30)·-·4);
 75 ·78·const·auto·tmp13·=·-x*(x*(x*(7*x·-·14)·+·9)·-·2);
 76 ·79·const·auto·tmp14·=·x*(x*(x*(7*x·-·14)·+·9)·-·2);
 77 ·80·const·auto·tmp15·=·x*(x*(2*x·-·3)·+·1);
 78 ·81·const·auto·tmp16·=·x*(x*(x*(5*x·-·10)·+·6)·-·1);
 79 ·82·const·auto·tmp17·=·-y*(y*(y*(7*y·-·14)·+·9)·-·2);
 80 ·83·const·auto·tmp18·=·y*(y*(2*y·-·3)·+·1);
 81 ·84·const·auto·tmp19·=·y*(y*(y*(5*y·-·10)·+·6)·-·1);
 82 ·85·const·auto·tmp20·=·y*(y*(y*(7*y·-·14)·+·9)·-·2);
 83 ·86
 84 ·87·out[0][0]=sign0*tmp1;
 85 ·88·out[0][1]=0;
 86 ·89·out[1][0]=(-3.0*tmp2*tmp3);
 87 ·90·out[1][1]=0;
 88 ·91·out[2][0]=sign0*(-5.0*tmp2*tmp4);
 89 ·92·out[2][1]=0;
 90 ·93·out[3][0]=(-7.0*tmp2*tmp5);
 91 ·94·out[3][1]=0;
 92 ·95
 93 ·96·out[4][0]=sign1*tmp6;
 94 ·97·out[4][1]=0;
 95 ·98·out[5][0]=(-3.0*tmp6*tmp3);
 96 ·99·out[5][1]=0;
 97 ·100·out[6][0]=sign1*(5.0*tmp6*tmp4);
 98 ·101·out[6][1]=0;
 99 ·102·out[7][0]=(-7.0*tmp6*tmp5);
 100 ·103·out[7][1]=0;
 101 ·104
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13 ····*·raviartthomas0prism13 ····*·raviartthomas3cube2d
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17 #include·<vector>17 #include·<vector>
18 #include·<dune/common/fmatrix.hh> 
19 #include·"../../common/localbasis.hh"18 #include·"../../common/localkey.hh"
20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
21 ·Classes20 ·Classes
 21 class· Dune::RT3Cube2DLocalCoefficients
 22  ······Layout·map·for·Raviart-Thomas-3·elements·on·quadrilaterals.·More...
22 class· Dune::RT0PrismLocalBasis<_D,_R_> 
23  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·prism. 
24 ········More... 
25  23  
26 ·Namespaces24 ·Namespaces
27 namespace· Dune25 namespace· Dune
28  26  
  
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15 raviartthomas0prismlocalbasis.hh14 ····*·raviartthomas3cube2d
 15 raviartthomas3cube2dlocalcoefficients.hh
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17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
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22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALBASIS_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALCOEFFICIENTS_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALBASIS_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS3_CUBE2D_LOCALCOEFFICIENTS_HH
24 ·724 ·7
25 ·8#include·<numeric>25 ·8#include·<cstddef>
26 ·9#include·<vector>26 ·9#include·<vector>
27 ·1027 ·10
28 ·11#include·<dune/common/fmatrix.hh>28 ·11#include·"../../common/localkey.hh"
29 ·1229 ·12
30 ·13#include·"../../common/localbasis.hh" 
31 ·14 
32 ·15namespace·Dune30 ·13namespace·Dune
33 ·16{31 ·14{
34 ·26·template<class·D,·class·R> 
35 27·class·RT0PrismLocalBasis32 22·class·RT3Cube2DLocalCoefficients
 33 ·23·{
 34 ·24
 35 ·25·public:
 36 27·RT3Cube2DLocalCoefficients·()·:·li(40)
36 ·28·{37 ·28·{
 38 ·29·for·(std::size_t·i·=·0;·i·<·4;·i++)
37 ·29 
38 ·30·public: 
39 ·31·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune:: 
40 FieldVector<R,3>, 
41 32·Dune::FieldMatrix<R,3,3>·>·Traits; 
42 ·33 
43 39·RT0PrismLocalBasis·(std::bitset<5>·s·=·0) 
44 ·40·{39 ·30·{
45 ·41·for·(size_t·i=0;·i<size();·i++) 
46 ·42·sign[i]·=·s[i]·?·-1.0·:·1.0;40 ·31·li[4*i]·=·LocalKey(i,1,0);
 41 ·32·li[4*i·+·1]·=·LocalKey(i,1,1);
 42 ·33·li[4*i·+·2]·=·LocalKey(i,1,2);
 43 ·34·li[4*i·+·3]·=·LocalKey(i,1,3);
47 ·43·}44 ·35·}
 45 ·36
48 ·44 
49 46·unsigned·int·size·()·const 
50 ·47·{ 
51 ·48·return·5; 
52 ·49·} 
53 ·50 
54 57·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
55 ·58·std::vector<typename·Traits::RangeType>&·out)·const 
56 ·59·{ 
57 ·60·out.resize(5); 
58 ·61 
59 ·62·out[0]·=·{·in[0],·-1.0·+·in[1],·0.0}; 
60 ·63 
61 ·64·out[1]·=·{·-1.0·+·in[0],·in[1],·0.0}; 
62 ·65 
63 ·66·out[2]·=·{·in[0],·in[1],·0.0}; 
64 ·67 
65 ·68·out[3]·=·{·0.0,·0.0,·-2.0·+·2.0*in[2]}; 
66 ·69 
67 ·70·out[4]·=·{·0.0,·0.0,·2.0*in[2]}; 
68 ·71 
69 ·72·for·(std::size_t·i=0;·i<out.size();·i++)46 ·37·for·(std::size_t·i=0;·i<24;·i++)
70 ·73·out[i]·*=·sign[i]; 
71 ·74 
72 ·75·} 
73 ·76 
74 83·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in, 
75 ·84·std::vector<typename·Traits::JacobianType>&·out)·const 
76 ·85·{47 ·38·{
 48 ·39·li[16·+·i]·=·LocalKey(0,0,i);
 49 ·40·}
 50 ·41·}
 51 ·42
 52 44·std::size_t·size·()·const
 53 ·45·{
 54 ·46·return·40;
 55 ·47·}
 56 ·48
 57 50·const·LocalKey&·localKey·(std::size_t·i)·const
 58 ·51·{
 59 ·52·return·li[i];
 60 ·53·}
 61 ·54
77 ·86·out.resize(5); 
78 ·87 
79 ·88·for(int·i=0;·i<size();·i++) 
80 ·89·for(int·j=0;·j<3;·j++) 
81 ·90·out[i][j]·=·{0.0,·0.0,·0.0}; 
82 ·91 
83 ·92·out[0][0][0]·=·sign[0]; 
84 ·93·out[0][1][1]·=·sign[0]; 
85 ·94 
86 ·95·out[1][0][0]·=·sign[1]; 
87 ·96·out[1][1][1]·=·sign[1]; 
88 ·97 
89 ·98·out[2][0][0]·=·sign[2]; 
90 ·99·out[2][1][1]·=·sign[2]; 
91 ·100 
92 ·101·out[3][2][2]·=·sign[3]*(2.0); 
93 ·102 
94 ·103·out[4][2][2]·=·sign[4]*(2.0); 
95 ·104·} 
96 ·105 
97 107·void·partial·(const·std::array<unsigned·int,·3>&·order, 
98 ·108·const·typename·Traits::DomainType&·in,·//·position 
99 ·109·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value 
100 ·110·{ 
101 ·111·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0); 
102 ·112·if·(totalOrder·==·0)·{ 
103 ·113·evaluateFunction(in,·out); 
104 ·114·}·else·{ 
105 ·115·DUNE_THROW(NotImplemented,·"Desired·derivative·order·is·not·implemented"); 
106 ·116·} 
107 ·117·} 
108 ·118 
109 120·unsigned·int·order·()·const 
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13 ····*·raviartthomas0prism13 ····*·raviartthomas12d
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas0prismlocalcoefficients.hh·File·Reference15 raviartthomas12dlocalcoefficients.hh·File·Reference
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17 #include·<vector>17 #include·<vector>
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19 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
20 ·Classes20 ·Classes
21 class· Dune::RT0PrismLocalCoefficients21 class· Dune::RT12DLocalCoefficients
22  ······Layout·map·for·Raviart-Thomas-1·elements·on·prisms.·More...22  ······Layout·map·for·Raviart-Thomas-1·elements·on·the·reference·triangle.
 23 ········More...
23  24  
24 ·Namespaces25 ·Namespaces
25 namespace· Dune26 namespace· Dune
26  27  
  
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17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
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19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALCOEFFICIENTS_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALCOEFFICIENTS_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALCOEFFICIENTS_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALCOEFFICIENTS_HH
24 ·724 ·7
25 ·8#include·<cstddef>25 ·8#include·<cstddef>
26 ·9#include·<vector>26 ·9#include·<vector>
27 ·1027 ·10
28 ·11#include·"../../common/localkey.hh"28 ·11#include·"../../common/localkey.hh"
29 ·1229 ·12
30 ·13namespace·Dune30 ·13namespace·Dune
31 ·14{31 ·14{
32 ·1532 ·15
33 23·class·RT0PrismLocalCoefficients33 22·class·RT12DLocalCoefficients
34 ·24·{34 ·23·{
35 ·2535 ·24
36 ·26·public:36 ·25·public:
37 28·RT0PrismLocalCoefficients·()·:·li(size())37 27·RT12DLocalCoefficients·()·:·li(8)
38 ·29·{38 ·28·{
39 ·30·for(int·i=0;·i<·size();·i++)39 ·29·for·(std::size_t·i·=·0;·i·<·3;·i++)
 40 ·30·{
40 ·31·li[i]·=·LocalKey(i,1,0);41 ·31·li[i]·=·LocalKey(i,1,0);
 42 ·32·li[3·+·i]·=·LocalKey(i,1,1);
41 ·32·}43 ·33·}
42 ·33 
43 35·std::size_t·size·()·const 
44 ·36·{ 
45 ·37·return·5;44 ·34
 45 ·35·//·last·two·DOF·are·associated·with·the·cell·(codim·=·0)
 46 ·36·li[6]·=·LocalKey(0,0,0);
 47 ·37·li[7]·=·LocalKey(0,0,1);
46 ·38·}48 ·38·}
47 ·3949 ·39
48 41·const·LocalKey&·localKey·(std::size_t·i)·const50 41·std::size_t·size·()·const
49 ·42·{51 ·42·{
50 ·43·return·li[i];52 ·43·return·8;
51 ·44·}53 ·44·}
52 ·4554 ·45
 55 47·const·LocalKey&·localKey·(std::size_t·i)·const
 56 ·48·{
 57 ·49·return·li[i];
 58 ·50·}
 59 ·51
53 ·46·private:60 ·52·private:
54 ·47·std::vector<LocalKey>·li;61 ·53·std::vector<LocalKey>·li;
55 ·48·};62 ·54·};
56 ·49}63 ·55}
57 ·50#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALCOEFFICIENTS_HH64 ·56#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALCOEFFICIENTS_HH
58 Dune65 Dune
59 Definition·bdfmcube.hh:1866 Definition·bdfmcube.hh:18
60 Dune::LocalKey67 Dune::LocalKey
61 Describe·position·of·one·degree·of·freedom.68 Describe·position·of·one·degree·of·freedom.
62 Definition·localkey.hh:2369 Definition·localkey.hh:23
63 Dune::RT0PrismLocalCoefficients70 Dune::RT12DLocalCoefficients
64 Layout·map·for·Raviart-Thomas-1·elements·on·prisms.71 Layout·map·for·Raviart-Thomas-1·elements·on·the·reference·triangle.
65 Definition·raviartthomas0prismlocalcoefficients.hh:2472 Definition·raviartthomas12dlocalcoefficients.hh:23
 73 Dune::RT12DLocalCoefficients::RT12DLocalCoefficients
 74 RT12DLocalCoefficients()
 75 Standard·constructor.
 76 Definition·raviartthomas12dlocalcoefficients.hh:27
66 Dune::RT0PrismLocalCoefficients::localKey77 Dune::RT12DLocalCoefficients::localKey
67 const·LocalKey·&·localKey(std::size_t·i)·const78 const·LocalKey·&·localKey(std::size_t·i)·const
68 get·i'th·index79 get·i'th·index
69 Definition·raviartthomas0prismlocalcoefficients.hh:4180 Definition·raviartthomas12dlocalcoefficients.hh:47
70 Dune::RT0PrismLocalCoefficients::size81 Dune::RT12DLocalCoefficients::size
71 std::size_t·size()·const82 std::size_t·size()·const
72 number·of·coefficients83 number·of·coefficients
73 Definition·raviartthomas0prismlocalcoefficients.hh:3584 Definition·raviartthomas12dlocalcoefficients.hh:41
74 Dune::RT0PrismLocalCoefficients::RT0PrismLocalCoefficients 
75 RT0PrismLocalCoefficients() 
76 Standard·constructor. 
77 Definition·raviartthomas0prismlocalcoefficients.hh:28 
  
78 ===============================================================================85 ===============================================================================
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12 ····*·raviartthomas12 ····*·raviartthomas
13 ····*·raviartthomas0prism13 ····*·raviartthomas12d
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 raviartthomas0prismlocalinterpolation.hh·File·Reference15 raviartthomas12dlocalbasis.hh·File·Reference
 16 #include·<numeric>
16 #include·<vector>17 #include·<vector>
17 #include·<dune/localfunctions/common/localinterpolation.hh>18 #include·<dune/common/fmatrix.hh>
 19 #include·"../../common/localbasis.hh"
18 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
19 ·Classes21 ·Classes
20 class· Dune::RT0PrismLocalInterpolation<_LB_>22 class· Dune::RT12DLocalBasis<_D,_R_>
21  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·prism.23  ······First·order·Raviart-Thomas·shape·functions·on·the·reference·triangle.
22 ········More...24 ········More...
23  25  
24 ·Namespaces26 ·Namespaces
25 namespace· Dune27 namespace· Dune
26  28  
  
27 ===============================================================================29 ===============================================================================
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8 Loading...8 Loading...
9 Searching...9 Searching...
10 No·Matches10 No·Matches
11 ····*·dune11 ····*·dune
12 ····*·localfunctions12 ····*·localfunctions
13 ····*·raviartthomas13 ····*·raviartthomas
14 ····*·raviartthomas0prism14 ····*·raviartthomas12d
15 raviartthomas0prismlocalinterpolation.hh15 raviartthomas12dlocalbasis.hh
16 Go_to_the_documentation_of_this_file.16 Go_to_the_documentation_of_this_file.
17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-17 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:18 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file19 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
20 LICENSE.md·in·module·root20 LICENSE.md·in·module·root
21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception21 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALINTERPOLATION_HH22 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALBASIS_HH
23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALINTERPOLATION_HH23 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALBASIS_HH
24 ·724 ·7
 25 ·8#include·<numeric>
25 ·8#include·<vector>26 ·9#include·<vector>
26 ·9 
27 ·10#include·<dune/localfunctions/common/localinterpolation.hh> 
28 ·1127 ·10
 28 ·11#include·<dune/common/fmatrix.hh>
 29 ·12
 30 ·13#include·"../../common/localbasis.hh"
 31 ·14
29 ·12namespace·Dune32 ·15namespace·Dune
30 ·13{33 ·16{
31 ·22·template<class·LB> 
32 23·class·RT0PrismLocalInterpolation34 ·26·template<class·D,·class·R>
 35 27·class·RT12DLocalBasis
33 ·24·{36 ·28·{
34 ·2537 ·29
35 ·26·public:38 ·30·public:
36 ·27 
37 33·RT0PrismLocalInterpolation·(std::bitset<5>·s·=·0)39 ·31·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
 40 FieldVector<R,2>,
 41 32·Dune::FieldMatrix<R,2,2>·>·Traits;
 42 ·33
 43 39·RT12DLocalBasis·(std::bitset<3>·s·=·0)
38 ·34·{44 ·40·{
39 ·35·typedef·typename·LB::Traits::RangeFieldType·Scalar; 
40 ·36 
41 ·37·for·(size_t·i=0;·i<5;·i++)45 ·41·for·(size_t·i=0;·i<3;·i++)
42 ·38·sign[i]·=·(s[i])·?·-1.0·:·1.0;46 ·42·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
 47 ·43·}
 48 ·44
 49 46·unsigned·int·size·()·const
43 ·39 
44 ·40·Scalar·r·=·1/std::sqrt(2); 
45 ·41 
46 ·42·n[0]·=·{·0.0,·-1.0,·0.0}; 
47 ·43·n[1]·=·{-1.0,·0.0,·0.0}; 
48 ·44·n[2]·=·{·r,·r,·0.0}; 
49 ·45·n[3]·=·{·0.0,·0.0,·-1.0}; 
50 ·46·n[4]·=·{·0.0,·0.0,·1.0}; 
51 ·47 
52 ·48·c[0]·=·1.0; 
53 ·49·c[1]·=·1.0; 
54 ·50·c[2]·=·std::sqrt(2); 
55 ·51·c[3]·=·1/2.0; 
56 ·52·c[4]·=·1/2.0; 
57 ·53 
58 ·54·m[0]·=·{·0.5,·0.0,·0.5}; 
59 ·55·m[1]·=·{·0.0,·0.5,·0.5}; 
60 ·56·m[2]·=·{·0.5,·0.5,·0.5}; 
61 ·57·m[3]·=·{·1/3.0,·1/3.0,·0.0}; 
62 ·58·m[4]·=·{·1/3.0,·1/3.0,·1.0}; 
63 ·59·} 
64 ·60 
65 ·69·template<class·F,·class·C> 
66 70·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
67 ·71·{50 ·47·{
68 ·72·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
69 DomainType>(ff); 
70 ·7351 ·48·return·8;
 52 ·49·}
 53 ·50
 54 57·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 55 ·58·std::vector<typename·Traits::RangeType>&·out)·const
 56 ·59·{
71 ·74·out.resize(5);57 ·60·out.resize(8);
72 ·75·for(int·i=0;·i<5;·i++) 
73 ·76·out[i]·=·f(m[i]).dot(n[i])·*·c[i]·*·sign[i];58 ·61·out[0][0]·=·sign_[0]*(in[0]·-·4.0*in[0]*in[1]);
 59 ·62·out[0][1]·=·sign_[0]*(-1.0·+·5.0*in[1]·-·4.0*in[1]*in[1]);
 60 ·63·out[1][0]·=·sign_[1]*(-1.0·+·5.0*in[0]·-·4.0*in[0]*in[0]);
 61 ·64·out[1][1]·=·sign_[1]*(in[1]·-·4.0*in[0]*in[1]);
 62 ·65·out[2][0]·=·sign_[2]*(-3.0*in[0]·+·4.0*in[0]*in[0]·+·4.0*in[1]*in[0]);
 63 ·66·out[2][1]·=·sign_[2]*(-3.0*in[1]·+·4.0*in[0]*in[1]·+·4.0*in[1]*in[1]);
 64 ·67·out[3][0]·=·-5.0*in[0]·+·8.0*in[0]*in[0]·+·4.0*in[1]*in[0];
 65 ·68·out[3][1]·=·3.0·-·6.0*in[0]·-·7.0*in[1]·+·8.0*in[0]*in[1]·+·4.0*in[1]*in
 66 [1];
 67 ·69·out[4][0]·=·-3.0·+·7.0*in[0]·+·6.0*in[1]·-·4.0*in[0]*in[0]·-·8.0*in[1]*in
 68 [0];
 69 ·70·out[4][1]·=·5.0*in[1]·-·4.0*in[0]*in[1]·-·8.0*in[1]*in[1];
 70 ·71·out[5][0]·=·in[0]·-·4.0*in[0]*in[0]·+·4.0*in[1]*in[0];
 71 ·72·out[5][1]·=·-1.0*in[1]·-·4.0*in[0]*in[1]·+·4.0*in[1]*in[1];
 72 ·73·out[6][0]·=·16.0*in[0]·-·16.0*in[0]*in[0]·-·8.0*in[1]*in[0];
 73 ·74·out[6][1]·=·8.0*in[1]·-·16.0*in[0]*in[1]·-·8.0*in[1]*in[1];
 74 ·75·out[7][0]·=·8.0*in[0]·-·8.0*in[0]*in[0]·-·16.0*in[1]*in[0];
 75 ·76·out[7][1]·=·16.0*in[1]·-·8.0*in[0]*in[1]·-·16.0*in[1]*in[1];
74 ·77·}76 ·77·}
75 ·7877 ·78
 78 85·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,
 79 ·86·std::vector<typename·Traits::JacobianType>&·out)·const
 80 ·87·{
 81 ·88·out.resize(8);
 82 ·89
 83 ·90·out[0][0][0]·=·sign_[0]*(1.0·-·4.0*in[1]);
 84 ·91·out[0][0][1]·=·sign_[0]*(-4.0*in[0]);
 85 ·92·out[0][1][0]·=·0.0;
 86 ·93·out[0][1][1]·=·sign_[0]*(5.0·-·8.0*in[1]);
 87 ·94
 88 ·95·out[1][0][0]·=·sign_[1]*(5.0·-·8.0*in[0]);
 89 ·96·out[1][0][1]·=·0.0;
 90 ·97·out[1][1][0]·=·sign_[1]*(-4.0*in[1]);
 91 ·98·out[1][1][1]·=·sign_[1]*(1.0·-·4.0*in[0]);
 92 ·99
 93 ·100·out[2][0][0]·=·sign_[2]*(-3.0·+·8.0*in[0]·+·4.0*in[1]);
 94 ·101·out[2][0][1]·=·sign_[2]*(4.0*in[0]);
 95 ·102·out[2][1][0]·=·sign_[2]*(4.0*in[1]);
 96 ·103·out[2][1][1]·=·sign_[2]*(-3.0·+·4.0*in[0]·+·8.0*in[1]);
 97 ·104
 98 ·105·out[3][0][0]·=·-5.0·+·16.0*in[0]·+·4.0*in[1];
 99 ·106·out[3][0][1]·=·4.0*in[0];
 100 ·107·out[3][1][0]·=·-6.0·+·8.0*in[1];
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 13 ····*·raviartthomas12d
14 Classes·|·Namespaces14 Classes·|·Namespaces
 15 raviartthomas12dlocalinterpolation.hh·File·Reference
 16 #include·<vector>
 17 #include·<dune/geometry/quadraturerules.hh>
15 hierarchicalprismp2localbasis.hh·File·Reference 
16 Hierarchical·prism·p2·shape·functions·for·the·simplex.·More... 
17 #include·<numeric> 
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/common/fmatrix.hh> 
20 #include·<dune/localfunctions/common/localbasis.hh>18 #include·<dune/localfunctions/common/localinterpolation.hh>
21 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
22 ·Classes20 ·Classes
23 class· Dune::HierarchicalPrismP2LocalBasis<_D,_R_>21 class· Dune::RT12DLocalInterpolation<_LB_>
 22  ······First·order·Raviart-Thomas·shape·functions·on·the·reference
 23 ········quadrilateral.·More...
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
28 *****·Detailed·Description·***** 
29 Hierarchical·prism·p2·shape·functions·for·the·simplex. 
  
30 ===============================================================================28 ===============================================================================
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14 hierarchicalprismp2localbasis.hh12 ····*·raviartthomas
 13 ····*·raviartthomas12d
 14 raviartthomas12dlocalinterpolation.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_HIERARCHICAL_PRISM_P2_LOCALBASIS_HH 
22 ·6#define·DUNE_HIERARCHICAL_PRISM_P2_LOCALBASIS_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALINTERPOLATION_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS12DLOCALINTERPOLATION_HH
23 ·723 ·7
 24 ·8#include·<vector>
 25 ·9
 26 ·10#include·<dune/geometry/quadraturerules.hh>
24 ·12#include·<numeric> 
25 ·13 
26 ·14#include·<dune/common/fvector.hh> 
27 ·15#include·<dune/common/fmatrix.hh> 
28 ·16 
29 ·17#include·<dune/localfunctions/common/localbasis.hh>27 ·11#include·<dune/localfunctions/common/localinterpolation.hh>
30 ·1828 ·12
31 ·19namespace·Dune29 ·13namespace·Dune
32 ·20{ 
33 ·21·template<class·D,·class·R> 
34 22·class·HierarchicalPrismP2LocalBasis30 ·14{
 31 ·15
 32 ·24·template<class·LB>
 33 25·class·RT12DLocalInterpolation
35 ·23·{34 ·26·{
36 ·24·public: 
37 26·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune:: 
38 FieldVector<R,1>,·Dune::FieldMatrix<R,1,3>·>·Traits; 
39 ·2735 ·27
40 29·unsigned·int·size·()·const36 ·28·public:
 37 ·29
 38 35·RT12DLocalInterpolation·(std::bitset<3>·s·=·0)
41 ·30·{39 ·36·{
 40 ·37·using·std::sqrt;
 41 ·38·for·(size_t·i=0;·i<3;·i++)
 42 ·39·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
 43 ·40
 44 ·41·n_[0]·=·{·0.0,·-1.0};
 45 ·42·n_[1]·=·{-1.0,·0.0};
 46 ·43·n_[2]·=·{·1.0/sqrt(2.0),·1.0/sqrt(2.0)};
 47 ·44
 48 ·45·c_·=·{·0.5*n_[0][0]·-·1.0*n_[0][1],
 49 ·46·-1.0*n_[1][0]·+·0.5*n_[1][1],
 50 ·47·0.5*n_[2][0]·+·0.5*n_[2][1]};
 51 ·48·}
 52 ·49
 53 ·58·template<typename·F,·typename·C>
 54 59·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
 55 ·60·{
 56 ·61·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 57 ·62·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 58 ·63·typedef·typename·LB::Traits::DomainFieldType·Vector;
42 ·31·return·18; 
43 ·32·} 
44 ·33 
45 35·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
46 ·36·std::vector<typename·Traits::RangeType>·&·out)·const 
47 ·37·{ 
48 ·38·out.resize(18); 
49 ·39 
50 ·40·out[0]=(1.0-in[0]-in[1])*(1.0-in[2]); 
51 ·41·out[1]=·in[0]*(1-in[2]); 
52 ·42·out[2]=in[1]*(1-in[2]); 
53 ·43·out[3]=in[2]*(1.0-in[0]-in[1]); 
54 ·44·out[4]=in[0]*in[2]; 
55 ·45·out[5]=in[1]*in[2]; 
56 ·46 
57 ·47·//edges 
58 ·48·out[6]=2*(1.0-in[0]-in[1])*(0.5-in[0]-in[1])*(4*in[2]-4*in[2]*in[2]); 
59 ·49·out[7]=2*in[0]*(-0.5+in[0])*(4*in[2]-4*in[2]*in[2]); 
60 ·50·out[8]=2*in[1]*(-0.5+in[1])*(4*in[2]-4*in[2]*in[2]); 
61 ·51·out[9]=4*in[0]*(1-in[0]-in[1])*(1-3*in[2]+2*in[2]*in[2]); 
62 ·52·out[10]=4*in[1]*(1-in[0]-in[1])*(1-3*in[2]+2*in[2]*in[2]); 
63 ·53·out[11]=4*in[0]*in[1]*(1-3*in[2]+2*in[2]*in[2]); 
64 ·54·out[12]=4*in[0]*(1-in[0]-in[1])*(-in[2]+2*in[2]*in[2]); 
65 ·55·out[13]=4*in[1]*(1-in[0]-in[1])*(-in[2]+2*in[2]*in[2]); 
66 ·56·out[14]=4*in[0]*in[1]*(-in[2]+2*in[2]*in[2]); 
67 ·57 
68 ·58·//faces 
69 ·59·out[15]=4*in[0]*(1-in[0]-in[1])*(4*in[2]-4*in[2]*in[2]); 
70 ·60·out[16]=4*in[1]*(1-in[0]-in[1])*(4*in[2]-4*in[2]*in[2]); 
71 ·61·out[17]=4*in[0]*in[1]*(4*in[2]-4*in[2]*in[2]); 
72 ·62·} 
73 ·63 
74 ·6459 ·64
 60 ·65·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 61 DomainType>(ff);
 62 ·66
75 ·65 
76 67·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//position 
77 ·68·std::vector<typename·Traits::JacobianType>&·out)·const·//return·value 
78 ·69·{ 
79 ·70·out.resize(18);63 ·67·out.resize(8);
80 ·71 
81 ·72·//vertices 
82 ·73·out[0][0][0]·=·in[2]-1; 
83 ·74·out[0][0][1]·=·in[2]-1; 
84 ·75·out[0][0][2]·=·in[0]+in[1]-1; 
85 ·76 
86 ·77·out[1][0][0]·=·1-in[2]; 
87 ·78·out[1][0][1]·=·0; 
88 ·79·out[1][0][2]·=-in[0]; 
89 ·80 
90 ·81·out[2][0][0]·=·0; 
91 ·82·out[2][0][1]·=·1-in[2]; 
92 ·83·out[2][0][2]·=·-in[1]; 
93 ·84 
94 ·85·out[3][0][0]·=·-in[2]; 
95 ·86·out[3][0][1]·=·-in[2]; 
96 ·87·out[3][0][2]·=·1-in[0]-in[1]; 
97 ·88 
98 ·89·out[4][0][0]·=·in[2]; 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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 12 ····*·raviartthomas
12 ····*·hierarchical 
13 ····*·hierarchicalprismp2 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 hierarchicalprismp2localinterpolation.hh·File·Reference 
16 #include·<vector>14 raviartthomas03d.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
17 #include·<dune/localfunctions/common/localinterpolation.hh>16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 17 #include·"raviartthomas03d/raviartthomas03dlocalbasis.hh"
 18 #include·"raviartthomas03d/raviartthomas03dlocalcoefficients.hh"
 19 #include·"raviartthomas03d/raviartthomas03dlocalinterpolation.hh"
18 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
19 ·Classes21 ·Classes
20 class· Dune::HierarchicalPrismP2LocalInterpolation<_LB_>22 class· Dune::RT03DLocalFiniteElement<_D,_R_>
 23  ······Zero·order·Raviart-Thomas·shape·functions·on·tetrahedra.·More...
21  24  
22 ·Namespaces25 ·Namespaces
23 namespace· Dune26 namespace· Dune
24  27  
  
25 ===============================================================================28 ===============================================================================
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·raviartthomas
 13 raviartthomas03d.hh
12 ····*·hierarchical 
13 ····*·hierarchicalprismp2 
14 hierarchicalprismp2localinterpolation.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_HIERARCHICAL_PRISM_P2_LOCALINTERPOLATION_HH 
22 ·6#define·DUNE_HIERARCHICAL_PRISM_P2_LOCALINTERPOLATION_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS_RAVIARTTHOMAS03D_HH
23 ·722 ·7
24 ·8#include·<vector>23 ·8#include·<dune/geometry/type.hh>
 24 ·9
25 ·9#include·<dune/localfunctions/common/localinterpolation.hh>25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
26 ·1026 ·11#include·"raviartthomas03d/raviartthomas03dlocalbasis.hh"
 27 ·12#include·"raviartthomas03d/raviartthomas03dlocalcoefficients.hh"
 28 ·13#include·"raviartthomas03d/raviartthomas03dlocalinterpolation.hh"
 29 ·14
27 ·11namespace·Dune30 ·15namespace·Dune
28 ·12{31 ·16{
29 ·16·template<class·LB> 
30 17·class·HierarchicalPrismP2LocalInterpolation 
31 ·18·{32 ·17
 33 ·26·template<class·D,·class·R>
 34 27·class
 35 ·28·RT03DLocalFiniteElement
 36 ·29·{
32 ·19·public:37 ·30·public:
 38 ·31·typedef
 39 LocalFiniteElementTraits<RT03DLocalBasis<D,R>,RT03DLocalCoefficients,
 40 32·RT03DLocalInterpolation<RT03DLocalBasis<D,R>·>·>·Traits;
 41 ·33
 42 35·RT03DLocalFiniteElement·()
 43 ·36·{}
33 ·20 
34 ·21·template<typename·F,·typename·C> 
35 22·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
36 ·23·{ 
37 ·24·typename·LB::Traits::DomainType·x; 
38 ·25·typename·LB::Traits::RangeType·y; 
39 ·26·out.resize(18); 
40 ·27 
41 ·28·auto&&·f·=·Impl::makeFunctionWithCallOperator<decltype(x)>(ff); 
42 ·29 
43 ·30·//First·the·vertex·dofs 
44 ·31·x[0]·=·0.0;·x[1]·=·0.0;·x[2]·=·0.0;·out[0]·=·f(x); 
45 ·32·x[0]·=·1.0;·x[1]·=·0.0;·x[2]·=·0.0;·out[1]·=·f(x); 
46 ·33·x[0]·=·0.0;·x[1]·=·1.0;·x[2]·=·0.0;·out[2]·=·f(x); 
47 ·34·x[0]·=·0.0;·x[1]·=·0.0;·x[2]·=·1.0;·out[3]·=·f(x); 
48 ·35·x[0]·=·1.0;·x[1]·=·0.0;·x[2]·=·1.0;·out[4]·=·f(x); 
49 ·36·x[0]·=·0.0;·x[1]·=·1.0;·x[2]·=·1.0;·out[5]·=·f(x); 
50 ·3744 ·37
 45 43·RT03DLocalFiniteElement·(std::bitset<4>·s)·:
 46 ·44·basis(s),
 47 ·45·interpolation(s)
 48 ·46·{}
 49 ·47
 50 48·const·typename·Traits::LocalBasisType&·localBasis·()·const
 51 ·49·{
 52 ·50·return·basis;
51 ·38 
52 ·39·//·Then:·the·9·edge·dofs·and·the·3·face·dofs 
53 ·40·x[0]·=·0.0;·x[1]·=·0.0;·x[2]·=·0.5;·y·=·f(x); 
54 ·41·out[6]·=·y·-·0.5*(out[0]·+·out[3]); 
55 ·42 
56 ·43·x[0]·=·1.0;·x[1]·=·0.0;·x[2]·=·0.5;·y·=·f(x); 
57 ·44·out[7]·=·y·-·0.5*(out[1]·+·out[4]); 
58 ·45 
59 ·46·x[0]·=·0.0;·x[1]·=·1.0;·x[2]·=·0.5;·y·=·f(x); 
60 ·47·out[8]·=·y·-·0.5*(out[2]·+·out[5]); 
61 ·48 
62 ·49·x[0]·=·0.5;·x[1]·=·0.0;·x[2]·=·0.0;·y·=·f(x); 
63 ·50·out[9]·=·y·-·0.5*(out[0]·+·out[1]); 
64 ·5153 ·51·}
65 ·52·x[0]·=·0.0;·x[1]·=·0.5;·x[2]·=·0.0;·y·=·f(x); 
66 ·53·out[10]·=·y·-·0.5*(out[2]·+·out[0]);54 ·52
 55 53·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
67 ·5456 ·54·{
68 ·55·x[0]·=·0.5;·x[1]·=·0.5;·x[2]·=·0.0;·y·=·f(x); 
69 ·56·out[11]·=·y·-·0.5*(out[2]·+·out[1]);57 ·55·return·coefficients;
 58 ·56·}
70 ·5759 ·57
71 ·58·x[0]·=·0.5;·x[1]·=·0.0;·x[2]·=·1.0;·y·=·f(x); 
72 ·59·out[12]·=·y·-·0.5*(out[3]·+·out[4]); 
73 ·60 
74 ·61·x[0]·=·0.0;·x[1]·=·0.5;·x[2]·=·1.0;·y·=·f(x); 
75 ·62·out[13]·=·y·-·0.5*(out[3]·+·out[5]); 
76 ·63 
77 ·64·x[0]·=·0.5;·x[1]·=·0.5;·x[2]·=·1.0;·y·=·f(x); 
78 ·65·out[14]·=·y·-·0.5*(out[4]·+·out[5]);60 58·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 61 ·59·{
 62 ·60·return·interpolation;
 63 ·61·}
 64 ·62
 65 63·unsigned·int·size·()·const
 66 ·64·{
 67 ·65·return·4;
79 ·6668 ·66·}
80 ·6769 ·67
 70 68·static·constexpr·GeometryType·type·()
 71 ·69·{
 72 ·70·return·GeometryTypes::tetrahedron;
81 ·68·//faces 
82 ·69·x[0]·=·0.5;·x[1]·=·0.0;·x[2]·=·0.5;·y·=·f(x); 
83 ·70·out[15]·=·y·-·0.25*(out[4]·+·out[1]·+·out[0]·+·out[3]·); 
84 ·71 
85 ·72·x[0]·=·0.0;·x[1]·=·0.5;·x[2]·=·0.5;·y·=·f(x); 
86 ·73·out[16]·=·y·-·0.25*(out[2]·+·out[0]·+·out[3]·+·out[5]·); 
87 ·74 
88 ·75·x[0]·=·0.5;·x[1]·=·0.5;·x[2]·=·0.5;·y·=·f(x); 
89 ·76·out[17]·=·y·-·0.25*(out[2]·+·out[1]·+·out[4]·+·out[5]·); 
90 ·77 
91 ·78·}73 ·71·}
 74 ·72
 75 ·73·private:
 76 ·74·RT03DLocalBasis<D,R>·basis;
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10 ····*·dune10 ····*·dune
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12 ····*·hierarchical12 ····*·orthonormal
13 Classes·|·Namespaces13 Classes·|·Namespaces
 14 orthonormalbasis.hh·File·Reference
 15 #include·<sstream>
 16 #include·<dune/localfunctions/utility/polynomialbasis.hh>
 17 #include·<dune/localfunctions/orthonormal/orthonormalcompute.hh>
14 hierarchicalp2.hh·File·Reference 
15 #include·<dune/geometry/type.hh> 
16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
17 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
18 #include·"hierarchicalp2/hierarchicalsimplexp2localbasis.hh" 
19 #include·"hierarchicalp2/hierarchicalsimplexp2localinterpolation.hh" 
20 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
21 ·Classes19 ·Classes
22 class· Dune::HierarchicalP2LocalFiniteElement<_D,_R,_dim_>20 struct· Dune::OrthonormalBasisFactory<_dim,_SF,_CF_>
 21  
 22 struct· Dune::OrthonormalBasisFactory<_dim,_SF,_CF_>::EvaluationBasisFactory<
 23 ·········dd,_FF_>
23  24  
24 ·Namespaces25 ·Namespaces
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·hierarchical 
13 hierarchicalp2.hh12 ····*·orthonormal
 13 orthonormalbasis.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_HIERARCHICAL_P2_LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_HIERARCHICAL_P2_LOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_ORTHONORMALBASIS_HH
 21 ·6#define·DUNE_ORTHONORMALBASIS_HH
22 ·722 ·7
23 ·8#include·<dune/geometry/type.hh>23 ·8#include·<sstream>
24 ·924 ·9
25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
26 ·11#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>25 ·10#include·<dune/localfunctions/utility/polynomialbasis.hh>
 26 ·11#include·<dune/localfunctions/orthonormal/orthonormalcompute.hh>
27 ·1227 ·12
28 ·13#include·"hierarchicalp2/hierarchicalsimplexp2localbasis.hh" 
29 ·14#include·"hierarchicalp2/hierarchicalsimplexp2localinterpolation.hh"28 ·13namespace·Dune
 29 ·14{
30 ·1530 ·15
31 ·16namespace·Dune 
32 ·17{ 
33 ·18 
34 ·21·template<class·D,·class·R,·int·dim> 
35 22·class·HierarchicalP2LocalFiniteElement31 ·16·//·OrthonormalBasisFactory
 32 ·17·//·-----------------------
 33 ·18·template<·int·dim,·class·SF,·class·CF·=·typename·ComputeField<·SF,·512·>::
 34 Type·>
 35 19·struct·OrthonormalBasisFactory
36 ·23·{36 ·20·{
 37 21·static·const·unsigned·int·dimension·=·dim;
 38 22·typedef·SF·StorageField;
 39 23·typedef·CF·ComputeField;
37 ·2440 ·24
38 ·25·static_assert(1·<=·dim·&&·dim·<=·3, 
39 ·26·"HierarchicalP2LocalFiniteElement·only·implemented·for·dim==1,·2,·3.");41 ·25·template·<unsigned·int·dd,·class·FF>
 42 26·struct·EvaluationBasisFactory
40 ·2743 ·27·{
41 ·28·public: 
42 ·31·typedef·LocalFiniteElementTraits< 
43 ·32·HierarchicalSimplexP2LocalBasis<D,R,dim>, 
44 ·33·typename·LagrangeSimplexLocalFiniteElement<D,R,dim,2>::Traits:: 
45 LocalCoefficientsType, 
46 34 
47 HierarchicalSimplexP2LocalInterpolation<HierarchicalSimplexP2LocalBasis<D,R,dim> 
48 >·>·Traits; 
49 ·35 
50 38·HierarchicalP2LocalFiniteElement·() 
51 ·39·{}44 28·typedef·MonomialBasisProvider<dd,FF>·Type;
 45 ·29·};
 46 ·30
 47 31·typedef·typename·EvaluationBasisFactory<_dimension,_StorageField_>::Type
 48 MonomialBasisProviderType;
 49 32·typedef·typename·MonomialBasisProviderType::Object·MonomialBasisType;
 50 ·33
 51 34·typedef·SparseCoeffMatrix<_StorageField,_1_>·CoefficientMatrix;
 52 35·typedef·StandardEvaluator<_MonomialBasisType_>·Evaluator;
 53 36·typedef·PolynomialBasis<_Evaluator,_CoefficientMatrix_>·Basis;
 54 ·37
 55 38·typedef·unsigned·int·Key;
 56 39·typedef·const·Basis·Object;
52 ·4057 ·40
53 43·const·typename·Traits::LocalBasisType&·localBasis·()·const58 41·static·constexpr·GeometryType·SimplexGeometry·=·GeometryTypes::simplex(dim);
 59 ·42
 60 ·43·template<·GeometryType::Id·geometryId·>
 61 44·static·Object·*create·(·const·unsigned·int·order·)
54 ·44·{62 ·45·{
55 ·45·return·basis; 
56 ·46·}63 ·46·const·MonomialBasisType·&monomialBasis·=·*MonomialBasisProviderType::
 64 template·create<·SimplexGeometry·>(·order·);
57 ·4765 ·47
58 50·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const66 ·48·static·CoefficientMatrix·_coeffs;
 67 ·49·if(·_coeffs.size()·<=·monomialBasis.size()·)
59 ·51·{68 ·50·{
60 ·52·return·coefficients;69 ·51·ONBCompute::ONBMatrix<_geometryId,_ComputeField_>·matrix(·order·);
 70 ·52·_coeffs.fill(·matrix·);
61 ·53·}71 ·53·}
62 ·5472 ·54
63 57·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
64 ·58·{ 
65 ·59·return·interpolation;73 ·55·return·new·Basis(·monomialBasis,·_coeffs,·monomialBasis.size()·);
 74 ·56·}
 75 57·static·void·release(·Object·*object·)·{·delete·object;·}
 76 ·58·};
 77 ·59
66 ·60·}78 ·60}
67 ·6179 ·61
 80 ·62#endif·//·#ifndef·DUNE_ORTHONORMALBASIS_HH
 81 orthonormalcompute.hh
 82 polynomialbasis.hh
68 63·unsigned·int·size·()·const 
69 ·64·{ 
70 ·65·return·basis.size(); 
71 ·66·} 
72 ·67 
73 70·static·constexpr·GeometryType·type·() 
74 ·71·{ 
75 ·72·return·GeometryTypes::simplex(dim); 
76 ·73·} 
77 ·74 
78 ·75·private: 
79 ·76·HierarchicalSimplexP2LocalBasis<D,R,dim>·basis; 
80 ·77 
81 ·78·typename·Traits::LocalCoefficientsType·coefficients; 
82 ·79 
83 ·80 
84 HierarchicalSimplexP2LocalInterpolation<HierarchicalSimplexP2LocalBasis<D,R,dim> 
85 >·interpolation; 
86 ·81·}; 
87 ·82 
88 ·83} 
89 ·84 
90 ·85#endif 
91 lagrangesimplex.hh 
92 hierarchicalsimplexp2localbasis.hh 
93 Hierarchical·p2·shape·functions·for·the·simplex. 
94 hierarchicalsimplexp2localinterpolation.hh 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·hierarchical12 ····*·orthonormal
13 Classes·|·Namespaces13 Classes·|·Namespaces·|·Functions
14 hierarchicalprismp2.hh·File·Reference14 orthonormalcompute.hh·File·Reference
 15 #include·<cassert>
 16 #include·<iostream>
 17 #include·<fstream>
 18 #include·<iomanip>
 19 #include·<utility>
 20 #include·<map>
 21 #include·<dune/common/fmatrix.hh>
15 #include·<dune/geometry/type.hh>22 #include·<dune/geometry/type.hh>
16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
17 #include·<dune/localfunctions/lagrange/lagrangeprism.hh> 
18 #include·"hierarchicalprismp2/hierarchicalprismp2localbasis.hh" 
19 #include·"hierarchicalprismp2/hierarchicalprismp2localinterpolation.hh"23 #include·<dune/localfunctions/utility/field.hh>
 24 #include·<dune/localfunctions/utility/lfematrix.hh>
 25 #include·<dune/localfunctions/utility/monomialbasis.hh>
 26 #include·<dune/localfunctions/utility/multiindex.hh>
20 Go_to_the_source_code_of_this_file.27 Go_to_the_source_code_of_this_file.
21 ·Classes28 ·Classes
22 class· Dune::HierarchicalPrismP2LocalFiniteElement<_D,_R_>29 struct· ONBCompute::Integral<_geometryId_>
 30  
 31 ·class· ONBCompute::ONBMatrix<_geometryId,_scalar_t_>
23  32  
24 ·Namespaces33 ·Namespaces
25 namespace· Dune34 namespace· ONBCompute
 35  
 36 ·Functions
 37 template<class·scalar_t·>
 38 scalar_t ONBCompute::factorial·(int·start,·int·end)
26  39  
  
27 ===============================================================================40 ===============================================================================
28 ·····Generated·by [doxygen]·1.9.841 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·hierarchical 
13 hierarchicalprismp2.hh12 ····*·orthonormal
 13 orthonormalcompute.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_HIERARCHICAL_PRISM_P2_LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_HIERARCHICAL_PRISM_P2_LOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_ORTHONORMALCOMPUTE_HH
 21 ·6#define·DUNE_ORTHONORMALCOMPUTE_HH
22 ·722 ·7
23 ·8#include·<dune/geometry/type.hh> 
24 ·9 
25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
26 ·11#include·<dune/localfunctions/lagrange/lagrangeprism.hh> 
27 ·12 
28 ·13#include·"hierarchicalprismp2/hierarchicalprismp2localbasis.hh" 
29 ·14#include·"hierarchicalprismp2/hierarchicalprismp2localinterpolation.hh" 
30 ·1523 ·8#include·<cassert>
 24 ·9#include·<iostream>
 25 ·10#include·<fstream>
 26 ·11#include·<iomanip>
 27 ·12#include·<utility>
 28 ·13#include·<map>
 29 ·14
 30 ·15#include·<dune/common/fmatrix.hh>
31 ·1631 ·16
32 ·17namespace·Dune32 ·17#include·<dune/geometry/type.hh>
33 ·18{33 ·18
34 ·19 
35 ·22·template<class·D,·class·R> 
36 23·class·HierarchicalPrismP2LocalFiniteElement 
37 ·24·{34 ·19#include·<dune/localfunctions/utility/field.hh>
 35 ·20#include·<dune/localfunctions/utility/lfematrix.hh>
 36 ·21#include·<dune/localfunctions/utility/monomialbasis.hh>
 37 ·22#include·<dune/localfunctions/utility/multiindex.hh>
 38 ·23
 39 24namespace·ONBCompute
38 ·2540 ·25{
39 ·2641 ·26
 42 ·27·template<·class·scalar_t·>
 43 28·scalar_t·factorial(·int·start,·int·end·)
40 ·27·public: 
41 ·30·typedef·LocalFiniteElementTraits<HierarchicalPrismP2LocalBasis<D,R>, 
42 ·31·Impl::LagrangePrismLocalCoefficients<2>, 
43 32·HierarchicalPrismP2LocalInterpolation<HierarchicalPrismP2LocalBasis<D,R>·>·> 
44 Traits; 
45 ·33 
46 36·HierarchicalPrismP2LocalFiniteElement·() 
47 ·37·{} 
48 ·38 
49 41·const·typename·Traits::LocalBasisType&·localBasis·()·const 
50 ·42·{44 ·29·{
51 ·43·return·basis;45 ·30·scalar_t·ret(·1·);
 46 ·31·for(·int·j·=·start;·j·<=·end;·++j·)
 47 ·32·ret·*=·scalar_t(·j·);
 48 ·33·return·ret;
52 ·44·}49 ·34·}
53 ·45 
54 48·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const50 ·35
 51 ·36
 52 ·37
 53 ·38·//·Integral
 54 ·39·//·--------
 55 ·40
 56 ·41·template<·Dune::GeometryType::Id·geometryId·>
 57 42·struct·Integral
55 ·49·{58 ·43·{
56 ·50·return·coefficients; 
57 ·51·} 
58 ·52 
59 55·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const59 44·static·constexpr·Dune::GeometryType·geometry·=·geometryId;
 60 45·static·constexpr·int·dimension·=·geometry.dim();
 61 ·46
 62 ·47·template<·int·dim,·class·scalar_t·>
 63 48·static·int·compute·(·const·Dune::MultiIndex<_dim,_scalar_t_>·&alpha,
 64 ·49·scalar_t·&p,·scalar_t·&q·)
60 ·56·{65 ·50·{
61 ·57·return·interpolation;66 ·51·return·compute(alpha,·p,·q,·std::make_integer_sequence<int,dimension>{});
62 ·58·}67 ·52·}
63 ·59 
64 61·unsigned·int·size·()·const 
65 ·62·{ 
66 ·63·return·basis.size();68 ·53
 69 ·54·template<·int·dim,·class·scalar_t·,·int·...ints>
 70 55·static·int·compute·(·const·Dune::MultiIndex<_dim,_scalar_t_>·&alpha,
 71 ·56·scalar_t·&p,·scalar_t·&q,·std::integer_sequence<int,ints...>·intS)
 72 ·57·{
 73 ·58·p·=·scalar_t(·1·);
 74 ·59·q·=·scalar_t(·1·);
 75 ·60
 76 ·61·int·ord·=·0;
 77 ·62·((computeIntegral<ints>(alpha,p,q,ord)),...);
 78 ·63
 79 ·64·return·ord;
67 ·64·}80 ·65·}
68 ·65 
69 68·static·constexpr·GeometryType·type·() 
70 ·69·{ 
71 ·70·return·GeometryTypes::prism; 
72 ·71·}81 ·66
 82 ·67·template<·int·step,·int·dim,·class·scalar_t·>
 83 68·static·void·computeIntegral·(·const·Dune::MultiIndex<_dim,_scalar_t_>
 84 &alpha,
 85 ·69·scalar_t·&p,·scalar_t·&q,·int&·ord)
 86 ·70·{
 87 ·71·int·i·=·alpha.z(·step·);
73 ·7288 ·72
74 ·73·private: 
75 ·74·HierarchicalPrismP2LocalBasis<D,R>·basis; 
76 ·75 
77 ·77·Impl::LagrangePrismLocalCoefficients<2>·coefficients; 
78 ·78 
79 ·79·HierarchicalPrismP2LocalInterpolation<HierarchicalPrismP2LocalBasis<D,R>·> 
80 interpolation; 
81 ·80·}; 
82 ·8189 ·73·if·constexpr·(·geometry.isPrismatic(step))
 90 ·74·{
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8 <title>dune-localfunctions:·hierarchicalp2withelementbubble.hh·File·Reference</title>8 <title>dune-localfunctions:·mimeticall.hh·File·Reference</title>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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10 ····*·dune10 ····*·dune
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12 ····*·hierarchical12 ····*·mimetic
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 hierarchicalp2withelementbubble.hh·File·Reference14 mimeticall.hh·File·Reference
 15 #include·<cstddef>
 16 #include·<dune/common/exceptions.hh>
 17 #include·<dune/common/fvector.hh>
 18 #include·<dune/common/fmatrix.hh>
15 #include·<dune/geometry/type.hh>19 #include·<dune/geometry/type.hh>
 20 #include·"../common/localbasis.hh"
 21 #include·"../common/localkey.hh"
16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
17 #include·<dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/ 
18 hierarchicalsimplexp2withelementbubble.hh> 
19 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
20 ·Classes23 ·Classes
21 class· Dune::HierarchicalP2WithElementBubbleLocalFiniteElement<_D,_R,_dim_>24 class· Dune::MimeticLocalBasis<_D,_R,_dim_>
 25  
 26 class· Dune::MimeticLocalInterpolation<_LB_>
 27  
 28 class· Dune::MimeticLocalCoefficients
 29  ······!·More...
22  30  
23 ·Namespaces31 ·Namespaces
24 namespace· Dune32 namespace· Dune
25  33  
  
26 ===============================================================================34 ===============================================================================
27 ·····Generated·by [doxygen]·1.9.835 ·····Generated·by [doxygen]·1.9.8
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2 <html·xmlns="http://www.w3.org/1999/xhtml"·lang="en-US">2 <html·xmlns="http://www.w3.org/1999/xhtml"·lang="en-US">
3 <head>3 <head>
4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>
5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>
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8 <title>dune-localfunctions:·hierarchicalp2withelementbubble.hh·Source·File</title>8 <title>dune-localfunctions:·mimeticall.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·hierarchical 
13 hierarchicalp2withelementbubble.hh12 ····*·mimetic
 13 mimeticall.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_HIERARCHICAL_P2_WITH_ELEMENTBUBBLE_LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_HIERARCHICAL_P2_WITH_ELEMENTBUBBLE_LOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_MIMETIC_ALL_HH
 21 ·6#define·DUNE_MIMETIC_ALL_HH
22 ·722 ·7
23 ·8#include·<dune/geometry/type.hh>23 ·8#include·<cstddef>
24 ·924 ·9
 25 ·10#include·<dune/common/exceptions.hh>
 26 ·11#include·<dune/common/fvector.hh>
 27 ·12#include·<dune/common/fmatrix.hh>
25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
26 ·11#include·<dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/ 
27 hierarchicalsimplexp2withelementbubble.hh> 
28 ·12 
29 ·1328 ·13
 29 ·14#include·<dune/geometry/type.hh>
 30 ·15
 31 ·16#include·"../common/localbasis.hh"
 32 ·17#include·"../common/localkey.hh"
 33 ·18
30 ·14namespace·Dune34 ·19namespace·Dune
 35 ·20{
31 ·15{ 
32 ·16 
33 ·19·template<class·D,·class·R,·int·dim>36 ·21·template<class·D,·class·R,·int·dim>
34 20·class·HierarchicalP2WithElementBubbleLocalFiniteElement37 22·class·MimeticLocalBasis
35 ·21·{38 ·23·{
36 ·22 
37 ·23·static_assert(dim==2,·"HierarchicalP2WithElementBubbleLocalFiniteElement 
38 only·implemented·for·dim==2."); 
39 ·24 
40 ·25·public:39 ·24·public:
41 ·28·typedef 
42 LocalFiniteElementTraits<HierarchicalSimplexP2WithElementBubbleLocalBasis<D,R,dim>, 
43 ·29·HierarchicalSimplexP2WithElementBubbleLocalCoefficients<dim>, 
44 30 
45 HierarchicalSimplexP2WithElementBubbleLocalInterpolation<HierarchicalSimplexP2WithElementBubbleLocalBasis<D,R,dim> 
46 >·>·Traits;40 ·25·typedef·Dune::LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,
 41 26·R,1,Dune::FieldVector<R,1>,·Dune::FieldMatrix<R,1,dim>·>·Traits;
 42 ·27
 43 28·MimeticLocalBasis·(unsigned·int·variant_)
 44 ·29·:·variant(variant_)
 45 ·30·{}
47 ·3146 ·31
48 34·HierarchicalP2WithElementBubbleLocalFiniteElement·()47 32·MimeticLocalBasis·()
 48 ·33·:·variant(0)
49 ·35·{}49 ·34·{}
50 ·36 
51 39·const·typename·Traits::LocalBasisType&·localBasis·()·const50 ·35
 51 36·unsigned·int·size·()·const·{·return·variant;·}
 52 ·37
 53 39·inline·void·evaluateFunction·(
 54 ·40·const·typename·Traits::DomainType&·in,
 55 ·41·std::vector<typename·Traits::RangeType>&·out)·const
52 ·40·{56 ·42·{
53 ·41·return·basis_;57 ·43·DUNE_THROW(Dune::Exception,"mimetic·basis·evaluation·not·available");
54 ·42·}58 ·44·}
 59 ·45
 60 47·inline·void·evaluateJacobian·(
 61 ·48·const·typename·Traits::DomainType&·in,
 62 ·49·std::vector<typename·Traits::JacobianType>&·out)·const
55 ·43 
56 46·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
57 ·47·{ 
58 ·48·return·coefficients_; 
59 ·49·} 
60 ·50 
61 53·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
62 ·54·{63 ·50·{
63 ·55·return·interpolation_;64 ·51·DUNE_THROW(Dune::Exception,"mimetic·basis·Jacobian·evaluation·not
 65 available");
64 ·56·}66 ·52·}
65 ·5767 ·53
 68 55·void·partial·(const·std::array<unsigned·int,·dim>&·/*order*/,
 69 ·56·const·typename·Traits::DomainType&·/*in*/,·//·position
 70 ·57·std::vector<typename·Traits::RangeType>&·/*out*/)·const·//·return·value
 71 ·58·{
 72 ·59·DUNE_THROW(Dune::Exception,"mimetic·basis·partial·derivative·evaluation·not
 73 available");
 74 ·60·}
 75 ·61
66 59·unsigned·int·size·()·const76 63·unsigned·int·order·()·const
67 ·60·{77 ·64·{
68 ·61·return·basis_.size();78 ·65·DUNE_THROW(Dune::Exception,"mimetic·order·evaluation·not·available");
69 ·62·}79 ·66·}
70 ·63 
71 66·static·constexpr·GeometryType·type·() 
72 ·67·{80 ·67
73 ·68·return·GeometryTypes::triangle; 
74 ·69·} 
75 ·70 
76 ·71·private:81 ·68·private:
77 ·72·HierarchicalSimplexP2WithElementBubbleLocalBasis<D,R,dim>·basis_; 
78 ·73 
79 ·74·HierarchicalSimplexP2WithElementBubbleLocalCoefficients<dim>·coefficients_; 
80 ·7582 ·69·unsigned·int·variant;
 83 ·70·};
 84 ·71
 85 ·72·template<class·LB>
 86 73·class·MimeticLocalInterpolation
 87 ·74·{
 88 ·75·public:
81 ·7689 ·76
82 HierarchicalSimplexP2WithElementBubbleLocalInterpolation<HierarchicalSimplexP2WithElementBubbleLocalBasis<D,R,dim> 
83 >·interpolation_; 
84 ·77·}; 
85 ·78 
86 ·79} 
87 ·8090 ·78·template<typename·F,·typename·C>
 91 79·void·interpolate·(const·F&·f,·std::vector<C>&·out)·const·{
 92 ·80·DUNE_THROW(Dune::Exception,"mimetic·local·interpolation·not·available");
 93 ·81·}
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8 <title>dune-localfunctions:·hierarchicalsimplexp2localbasis.hh·File·Reference</title>8 <title>dune-localfunctions:·refinedp0localcoefficients.hh·File·Reference</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
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15 <link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>15 <link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·hierarchical 
13 ····*·hierarchicalp212 ····*·refined
 13 ····*·refinedp0
14 Classes·|·Namespaces14 Classes·|·Namespaces
 15 refinedp0localcoefficients.hh·File·Reference
 16 #include·<cstddef>
 17 #include·<iostream>
 18 #include·<vector>
15 hierarchicalsimplexp2localbasis.hh·File·Reference 
16 Hierarchical·p2·shape·functions·for·the·simplex.·More... 
17 #include·<numeric> 
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/common/fmatrix.hh> 
20 #include·<dune/localfunctions/common/localbasis.hh>19 #include·<dune/localfunctions/common/localkey.hh>
21 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
22 ·Classes21 ·Classes
 22 class· Dune::RefinedP0LocalCoefficients<_k_>
 23  ······Layout·map·for·RefinedP0·elements.·More...
23 class· Dune::HierarchicalSimplexP2LocalBasis<_D,_R,_dim_> 
24   
25 class· Dune::HierarchicalSimplexP2LocalBasis<_D,_R,_1_> 
26  ······Hierarchical·P2·basis·in·1d.·More... 
27   
28 class· Dune::HierarchicalSimplexP2LocalBasis<_D,_R,_2_> 
29  ······Hierarchical·P2·basis·in·2d.·More... 
30   
31 class· Dune::HierarchicalSimplexP2LocalBasis<_D,_R,_3_> 
32  ······Hierarchical·P2·basis·in·3d.·More... 
33  24  
34 ·Namespaces25 ·Namespaces
35 namespace· Dune26 namespace· Dune
36  27  
37 *****·Detailed·Description·***** 
38 Hierarchical·p2·shape·functions·for·the·simplex. 
  
39 ===============================================================================28 ===============================================================================
40 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·hierarchicalsimplexp2localbasis.hh·Source·File</title>8 <title>dune-localfunctions:·refinedp0localcoefficients.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·hierarchical 
13 ····*·hierarchicalp2 
14 hierarchicalsimplexp2localbasis.hh12 ····*·refined
 13 ····*·refinedp0
 14 refinedp0localcoefficients.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_HIERARCHICAL_SIMPLEX_P2_LOCALBASIS_HH 
22 ·6#define·DUNE_HIERARCHICAL_SIMPLEX_P2_LOCALBASIS_HH21 ·5#ifndef·DUNE_REFINED_P0_LOCALCOEFFICIENTS_HH
 22 ·6#define·DUNE_REFINED_P0_LOCALCOEFFICIENTS_HH
23 ·723 ·7
24 ·12#include·<numeric>24 ·8#include·<cstddef>
 25 ·9#include·<iostream>
 26 ·10#include·<vector>
 27 ·11
 28 ·12#include·<dune/localfunctions/common/localkey.hh>
25 ·1329 ·13
26 ·14#include·<dune/common/fvector.hh> 
27 ·15#include·<dune/common/fmatrix.hh>30 ·14namespace·Dune
 31 ·15{
28 ·1632 ·16
 33 ·23·template<unsigned·int·k>
 34 24·class·RefinedP0LocalCoefficients
29 ·17#include·<dune/localfunctions/common/localbasis.hh> 
30 ·18 
31 ·19namespace·Dune 
32 ·20{ 
33 ·21·template<class·D,·class·R,·int·dim> 
34 22·class·HierarchicalSimplexP2LocalBasis 
35 ·23·{35 ·25·{
 36 ·26·//·2·to·the·k-th·power
 37 ·27·constexpr·static·int·N·=·1<<k;
 38 ·28
36 ·24·public:39 ·29·public:
37 25·HierarchicalSimplexP2LocalBasis()40 30·RefinedP0LocalCoefficients·()·:
 41 ·31·localKeys_(N)
38 ·26·{42 ·32·{
 43 ·33·//·All·functions·are·associated·to·the·element
 44 ·34·for·(int·i·=·0;·i·<·N;·++i)
 45 ·35·localKeys_[i]·=·LocalKey(0,0,i);
 46 ·36·}
 47 ·37
 48 39·std::size_t·size·()·const
39 ·27·DUNE_THROW(Dune::NotImplemented,"HierarchicalSimplexP2LocalBasis·not 
40 implemented·for·dim·>·3."); 
41 ·28·} 
42 ·29·}; 
43 ·30 
44 ·45·template<class·D,·class·R> 
45 46·class·HierarchicalSimplexP2LocalBasis<D,R,1> 
46 ·47·{49 ·40·{
47 ·48·public: 
48 ·50·typedef·LocalBasisTraits<D,1,Dune::FieldVector<D,1>,R,1,Dune:: 
49 FieldVector<R,1>, 
50 51·Dune::FieldMatrix<R,1,1>·>·Traits;50 ·41·return·N;
 51 ·42·}
 52 ·43
 53 45·const·LocalKey&·localKey·(std::size_t·i)·const
 54 ·46·{
 55 ·47·return·localKeys_[i];
 56 ·48·}
 57 ·49
 58 ·50·private:
 59 ·51·std::vector<LocalKey>·localKeys_;
51 ·5260 ·52
52 54·unsigned·int·size·()·const 
53 ·55·{ 
54 ·56·return·3; 
55 ·57·} 
56 ·58 
57 60·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
58 ·61·std::vector<typename·Traits::RangeType>&·out)·const 
59 ·62·{ 
60 ·63·out.resize(3); 
61 ·64 
62 ·65·out[0]·=·1-in[0]; 
63 ·66·out[1]·=·1-4*(in[0]-0.5)*(in[0]-0.5); 
64 ·67·out[2]·=·in[0]; 
65 ·68·} 
66 ·69 
67 ·71·inline·void 
68 72·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position 
69 ·73·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value 
70 ·74·{ 
71 ·75·out.resize(3); 
72 ·76 
73 ·77·out[0][0][0]·=·-1; 
74 ·78·out[1][0][0]·=·4-8*in[0]; 
75 ·79·out[2][0][0]·=·1; 
76 ·80·} 
77 ·81 
78 83·void·partial·(const·std::array<unsigned·int,·1>&·order, 
79 ·84·const·typename·Traits::DomainType&·in,·//·position 
80 ·85·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value 
81 ·86·{ 
82 ·87·auto·totalOrder·=·order[0]; 
83 ·88·if·(totalOrder·==·0)·{ 
84 ·89·evaluateFunction(in,·out); 
85 ·90·}·else·if·(totalOrder·==·1)·{ 
86 ·91·out.resize(size()); 
87 ·92·out[0]·=·-1; 
88 ·93·out[1]·=·4-8*in[0]; 
89 ·94·out[2]·=·1; 
90 ·95·}·else·if·(totalOrder·==·2)·{ 
91 ·96·out.resize(size()); 
92 ·97·out[0]·=·0; 
93 ·98·out[1]·=·-8; 
94 ·99·out[2]·=·0; 
95 ·100·}·else·{ 
96 ·101·out.resize(size()); 
97 ·102·out[0]·=·out[1]·=·out[2]·=·0; 
98 ·103·} 
99 ·104·} 
100 ·105 
101 108·unsigned·int·order·()·const 
102 ·109·{ 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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13 ····*·hierarchicalp212 ····*·refined
 13 ····*·refinedp0
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 hierarchicalsimplexp2localinterpolation.hh·File·Reference 
16 #include·<vector>15 refinedp0localbasis.hh·File·Reference
 16 #include·<numeric>
 17 #include·<dune/common/fvector.hh>
 18 #include·<dune/common/fmatrix.hh>
17 #include·<dune/localfunctions/common/localinterpolation.hh>19 #include·<dune/localfunctions/common/localbasis.hh>
 20 #include·<dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh>
18 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
19 ·Classes22 ·Classes
20 class· Dune::HierarchicalSimplexP2LocalInterpolation<_LB_>23 class· Dune::RefinedP0LocalBasis<_D,_R,_dim_>
 24  ······Uniformly·refined·constant·shape·functions·on·a·unit·simplex·in·R^dim.
 25 ········More...
21  26  
22 ·Namespaces27 ·Namespaces
23 namespace· Dune28 namespace· Dune
24  29  
  
25 ===============================================================================30 ===============================================================================
26 ·····Generated·by [doxygen]·1.9.831 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·hierarchical 
13 ····*·hierarchicalp2 
14 hierarchicalsimplexp2localinterpolation.hh12 ····*·refined
 13 ····*·refinedp0
 14 refinedp0localbasis.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_HIERARCHICAL_SIMPLEX_P2_LOCALINTERPOLATION_HH 
22 ·6#define·DUNE_HIERARCHICAL_SIMPLEX_P2_LOCALINTERPOLATION_HH21 ·5#ifndef·DUNE_REFINED_P0_LOCALBASIS_HH
 22 ·6#define·DUNE_REFINED_P0_LOCALBASIS_HH
23 ·723 ·7
24 ·8#include·<vector>24 ·8#include·<numeric>
 25 ·9
 26 ·10#include·<dune/common/fvector.hh>
 27 ·11#include·<dune/common/fmatrix.hh>
 28 ·12
25 ·9#include·<dune/localfunctions/common/localinterpolation.hh>29 ·13#include·<dune/localfunctions/common/localbasis.hh>
26 ·1030 ·14#include·<dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh>
 31 ·15
27 ·11namespace·Dune32 ·16namespace·Dune
28 ·12{33 ·17{
29 ·16·template<class·LB> 
30 17·class·HierarchicalSimplexP2LocalInterpolation 
31 ·18·{34 ·18
 35 ·37·template<class·D,·class·R,·int·dim>
 36 38·class·RefinedP0LocalBasis
 37 ·39·:·public·RefinedSimplexLocalBasis<D,dim>
 38 ·40·{
 39 ·41·//·2·to·the·k-th·power
 40 ·42·constexpr·static·int·N·=·1<<dim;
32 ·19·public:41 ·43·public:
 42 45·typedef·LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune::
 43 FieldVector<R,1>,·Dune::FieldMatrix<R,1,dim>·>·Traits;
33 ·20 
34 ·21·template<typename·F,·typename·C> 
35 22·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
36 ·23·{ 
37 ·24·typename·LB::Traits::DomainType·x; 
38 ·25·typename·LB::Traits::RangeType·y; 
39 ·26 
40 ·27·auto&&·f·=·Impl::makeFunctionWithCallOperator<decltype(x)>(ff); 
41 ·28 
42 ·29·static_assert(LB::Traits::dimDomain·<=·3, 
43 ·30·"LocalInterpolation·for·HierarchicalSimplexP2·finite·elements" 
44 ·31·"·is·only·implemented·for·dimDomain·<=3!"); 
45 ·32 
46 ·33·switch·(·int(LB::Traits::dimDomain))·{ 
47 ·34 
48 ·35·case·1·: 
49 ·36 
50 ·37·out.resize(3); 
51 ·38 
52 ·39·//·First:·the·two·vertex·dofs 
53 ·40·x[0]·=·0.0;·out[0]·=·f(x); 
54 ·41·x[0]·=·1.0;·out[2]·=·f(x); 
55 ·42 
56 ·43·//·Then:·the·edge·dof 
57 ·44·x[0]·=·0.5;·y·=·f(x); 
58 ·45·out[1]·=·y·-·0.5*(out[0]·+·out[2]); 
59 ·4644 ·46
 45 48·unsigned·int·size·()·const
60 ·47·break; 
61 ·48 
62 ·4946 ·49·{
63 ·50·case·2·:47 ·50·return·N;
64 ·5148 ·51·}
 49 ·52
 50 54·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 51 ·55·std::vector<typename·Traits::RangeType>&·out)·const
 52 ·56·{
 53 ·57·int·subElement·=·this->getSubElement(in);
65 ·52·out.resize(6);54 ·58·out.resize(N);
 55 ·59·for(int·i=0;·i<N;·++i)
 56 ·60·out[i]·=·(i==subElement)·?·1·:·0;
 57 ·61·}
66 ·53 
67 ·54·//·First:·the·three·vertex·dofs 
68 ·55·x[0]·=·0.0;·x[1]·=·0.0;·out[0]·=·f(x); 
69 ·56·x[0]·=·1.0;·x[1]·=·0.0;·out[2]·=·f(x); 
70 ·57·x[0]·=·0.0;·x[1]·=·1.0;·out[5]·=·f(x); 
71 ·58 
72 ·59·//·Then:·the·three·edge·dofs 
73 ·60·x[0]·=·0.5;·x[1]·=·0.0;·y·=·f(x); 
74 ·61·out[1]·=·y·-·0.5*(out[0]·+·out[2]); 
75 ·6258 ·62
 59 ·63·inline·void
 60 64·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
 61 ·65·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
 62 ·66·{
76 ·63·x[0]·=·0.0;·x[1]·=·0.5;·y·=·f(x); 
77 ·64·out[3]·=·y·-·0.5*(out[0]·+·out[5]); 
78 ·65 
79 ·66·x[0]·=·0.5;·x[1]·=·0.5;·y·=·f(x); 
80 ·67·out[4]·=·y·-·0.5*(out[2]·+·out[5]); 
81 ·68 
82 ·69·break; 
83 ·70 
84 ·71·case·3·: 
85 ·72 
86 ·73·out.resize(10);63 ·67·out.resize(N);
87 ·74 
88 ·75·//·First:·the·four·vertex·dofs 
89 ·76·x[0]·=·0.0;·x[1]·=·0.0;·x[2]·=·0.0;·out[0]·=·f(x); 
90 ·77·x[0]·=·1.0;·x[1]·=·0.0;·x[2]·=·0.0;·out[2]·=·f(x); 
91 ·78·x[0]·=·0.0;·x[1]·=·1.0;·x[2]·=·0.0;·out[5]·=·f(x); 
92 ·79·x[0]·=·0.0;·x[1]·=·0.0;·x[2]·=·1.0;·out[9]·=·f(x); 
93 ·80 
94 ·81·//·Then:·the·six·edge·dofs 
95 ·82·x[0]·=·0.5;·x[1]·=·0.0;·x[2]·=·0.0;·y·=·f(x); 
96 ·83·out[1]·=·y·-·0.5*(out[0]·+·out[2]);64 ·68·for(int·i=0;·i<N;·++i)
 65 ·69·out[i][0]·=·0;
 66 ·70·}
 67 ·71
 68 73·void·partial·(const·std::array<unsigned·int,·dim>&·order,
 69 ·74·const·typename·Traits::DomainType&·in,·//·position
 70 ·75·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·hierarchical 
13 ····*·hierarchicalp2withelementbubble12 ····*·refined
 13 ····*·refinedp0
14 Classes·|·Namespaces14 Classes·|·Namespaces
 15 refinedp0localinterpolation.hh·File·Reference
15 hierarchicalsimplexp2withelementbubble.hh·File·Reference 
16 Hierarchical·p2·shape·functions·for·the·simplex.·More... 
17 #include·<numeric> 
18 #include·<vector> 
19 #include·<dune/common/fvector.hh> 
20 #include·<dune/common/fmatrix.hh> 
21 #include·<dune/localfunctions/common/localbasis.hh>16 #include·<dune/localfunctions/refined/refinedp0/refinedp0localbasis.hh>
22 #include·<dune/localfunctions/common/localkey.hh> 
23 #include·<dune/localfunctions/common/localinterpolation.hh>17 #include·<dune/localfunctions/common/localinterpolation.hh>
24 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
25 ·Classes19 ·Classes
26 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis<_D,_R,_dim_>20 class· Dune::RefinedP0LocalInterpolation<_LB_>
27  21  
 22 class· Dune::RefinedP0LocalInterpolation<_RefinedP0LocalBasis<_D,_R,_1_>_>
28 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis<_D,_R,_1_> 
29  ······Hierarchical·P2·basis·in·1d.·More... 
30  23  
 24 class· Dune::RefinedP0LocalInterpolation<_RefinedP0LocalBasis<_D,_R,_2_>_>
31 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis<_D,_R,_2_> 
32  ······Hierarchical·P2·basis·in·1d.·More... 
33  25  
 26 class· Dune::RefinedP0LocalInterpolation<_RefinedP0LocalBasis<_D,_R,_3_>_>
34 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis<_D,_R,_3_> 
35  ······Hierarchical·P2·basis·in·1d.·More... 
36   
37 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients<_dim_> 
38  ······The·local·finite·element·needed·for·the·Zou-Kornhuber·estimator·for 
39 ········Signorini·problems.·More... 
40   
41 class· Dune::HierarchicalSimplexP2WithElementBubbleLocalInterpolation<_LB_> 
42  27  
43 ·Namespaces28 ·Namespaces
44 namespace· Dune29 namespace· Dune
45  30  
46 *****·Detailed·Description·***** 
47 Hierarchical·p2·shape·functions·for·the·simplex. 
  
48 ===============================================================================31 ===============================================================================
49 ·····Generated·by [doxygen]·1.9.832 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·hierarchical 
13 ····*·hierarchicalp2withelementbubble 
14 hierarchicalsimplexp2withelementbubble.hh12 ····*·refined
 13 ····*·refinedp0
 14 refinedp0localinterpolation.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_HIERARCHICAL_SIMPLEX_P2_WITH_ELEMENT_BUBBLE_LOCALBASIS_HH 
22 ·6#define·DUNE_HIERARCHICAL_SIMPLEX_P2_WITH_ELEMENT_BUBBLE_LOCALBASIS_HH21 ·5#ifndef·DUNE_REFINED_P0_LOCALINTERPOLATION_HH
 22 ·6#define·DUNE_REFINED_P0_LOCALINTERPOLATION_HH
23 ·723 ·7
24 ·12#include·<numeric> 
25 ·13#include·<vector> 
26 ·14 
27 ·15#include·<dune/common/fvector.hh> 
28 ·16#include·<dune/common/fmatrix.hh> 
29 ·17 
30 ·18#include·<dune/localfunctions/common/localbasis.hh>24 ·8#include·<dune/localfunctions/refined/refinedp0/refinedp0localbasis.hh>
31 ·19#include·<dune/localfunctions/common/localkey.hh> 
32 ·20#include·<dune/localfunctions/common/localinterpolation.hh>25 ·9#include·<dune/localfunctions/common/localinterpolation.hh>
33 ·2126 ·10
34 ·22namespace·Dune27 ·11namespace·Dune
35 ·23{28 ·12{
 29 ·13·template<class·LB>
 30 14·class·RefinedP0LocalInterpolation
 31 ·15·{};
 32 ·16
36 ·24·template<class·D,·class·R,·int·dim>33 ·17·template<class·D,·class·R>
37 25·class·HierarchicalSimplexP2WithElementBubbleLocalBasis34 18·class·RefinedP0LocalInterpolation<RefinedP0LocalBasis<D,R,1>·>
 35 ·19·{
 36 ·20·typedef·RefinedP0LocalBasis<D,R,1>·LB;
 37 ·21·typedef·typename·LB::Traits::DomainType·DT;
 38 ·22
 39 ·23·public:
 40 24·RefinedP0LocalInterpolation()·:
 41 ·25·interpolationPoints_(2)
38 ·26·{42 ·26·{
39 ·27·public: 
40 28·HierarchicalSimplexP2WithElementBubbleLocalBasis()43 ·27·//·Interpolation·is·done·by·evaluating·at·the·halved·segments·centers
 44 ·28·interpolationPoints_[0][0]·=·1.0/4.0;
41 ·29·{45 ·29
 46 ·30·interpolationPoints_[1][0]·=·3.0/4.0;
42 ·30·DUNE_THROW(Dune::NotImplemented,"HierarchicalSimplexP2LocalBasis·not 
43 implemented·for·dim·>·3."); 
44 ·31·}47 ·31·}
45 ·32·};48 ·32
46 ·3349 ·33
 50 ·34·template<typename·F,·typename·C>
 51 35·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
 52 ·36·{
 53 ·37·auto&&·f·=·Impl::makeFunctionWithCallOperator<DT>(ff);
 54 ·38
 55 ·39·out.resize(interpolationPoints_.size());
 56 ·40·for·(size_t·i·=·0;·i·<·out.size();·++i)
 57 ·41·{
 58 ·42·out[i]·=·f(interpolationPoints_[i]);
 59 ·43·}
 60 ·44·}
 61 ·45
 62 ·46·private:
 63 ·47·std::vector<DT>·interpolationPoints_;
 64 ·48·};
 65 ·49
47 ·48·template<class·D,·class·R>66 ·50·template<class·D,·class·R>
48 49·class·HierarchicalSimplexP2WithElementBubbleLocalBasis<D,R,1>67 51·class·RefinedP0LocalInterpolation<RefinedP0LocalBasis<D,R,2>·>
49 ·50·{68 ·52·{
 69 ·53·typedef·RefinedP0LocalBasis<D,R,2>·LB;
 70 ·54·typedef·typename·LB::Traits::DomainType·DT;
50 ·51·public: 
51 ·53·typedef·LocalBasisTraits<D,1,Dune::FieldVector<D,1>,R,1,Dune:: 
52 FieldVector<R,1>, 
53 54·Dune::FieldMatrix<R,1,1>·>·Traits; 
54 ·5571 ·55
55 57·unsigned·int·size·()·const72 ·56·public:
 73 57·RefinedP0LocalInterpolation()·:
 74 ·58·interpolationPoints_(4)
56 ·58·{75 ·59·{
57 ·59·return·3; 
58 ·60·} 
59 ·61 
60 63·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
61 ·64·std::vector<typename·Traits::RangeType>&·out)·const 
62 ·65·{ 
63 ·66·out.resize(3); 
64 ·67 
65 ·68·out[0]·=·1-in[0]; 
66 ·69·out[1]·=·in[0]; 
67 ·70·out[2]·=·1-4*(in[0]-0.5)*(in[0]-0.5);76 ·60·//·Interpolation·is·done·by·evaluating·at·the·subtriangle·centers
 77 ·61·interpolationPoints_[0][0]·=·1.0/6;
 78 ·62·interpolationPoints_[0][1]·=·1.0/6;
 79 ·63
 80 ·64·interpolationPoints_[1][0]·=·4.0/6;
 81 ·65·interpolationPoints_[1][1]·=·1.0/6;
 82 ·66
 83 ·67·interpolationPoints_[2][0]·=·1.0/6;
 84 ·68·interpolationPoints_[2][1]·=·4.0/6;
 85 ·69
 86 ·70·interpolationPoints_[3][0]·=·2.0/6;
 87 ·71·interpolationPoints_[3][1]·=·2.0/6;
68 ·71·}88 ·72·}
69 ·72 
70 ·74·inline·void 
71 75·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position 
72 ·76·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value89 ·73
 90 ·74
 91 ·75·template<typename·F,·typename·C>
 92 76·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
73 ·77·{93 ·77·{
74 ·78·out.resize(3);94 ·78·auto&&·f·=·Impl::makeFunctionWithCallOperator<DT>(ff);
75 ·7995 ·79
 96 ·80·out.resize(interpolationPoints_.size());
 97 ·81·for·(size_t·i·=·0;·i·<·out.size();·++i)
76 ·80·out[0][0][0]·=·-1; 
77 ·81·out[1][0][0]·=·1; 
78 ·82·out[2][0][0]·=·4-8*in[0]; 
79 ·83·} 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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12 dualmortarbasis.hh·File·Reference12 ····*·refined
 13 ····*·common
 14 Classes·|·Namespaces
 15 refinedsimplexlocalbasis.hh·File·Reference
 16 Contains·a·base·class·for·LocalBasis·classes·based·on·uniform·refinement.
 17 More...
 18 #include·<dune/common/fvector.hh>
 19 #include·<dune/common/exceptions.hh>
13 #include·<dune/localfunctions/dualmortarbasis/dualp1.hh>20 #include·<dune/localfunctions/common/localbasis.hh>
14 #include·<dune/localfunctions/dualmortarbasis/dualq1.hh> 
15 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
 22 ·Classes
 23 class· Dune::RefinedSimplexLocalBasis<_D,_dim_>
 24  
 25 class· Dune::RefinedSimplexLocalBasis<_D,_1_>
 26  ······Base·class·for·LocalBasis·classes·based·on·uniform·refinement·in·1D;
 27 ········provides·numbering·and·local·coordinates·of·subelements.·More...
 28  
 29 class· Dune::RefinedSimplexLocalBasis<_D,_2_>
 30  ······Base·class·for·LocalBasis·classes·based·on·uniform·refinement·in·2D;
 31 ········provides·numbering·and·local·coordinates·of·subelements.·More...
 32  
 33 class· Dune::RefinedSimplexLocalBasis<_D,_3_>
 34  ······Base·class·for·LocalBasis·classes·based·on·uniform·refinement·in·3D;
 35 ········provides·numbering·and·local·coordinates·of·subelements.·More...
 36  
 37 ·Namespaces
 38 namespace· Dune
 39  
 40 *****·Detailed·Description·*****
 41 Contains·a·base·class·for·LocalBasis·classes·based·on·uniform·refinement.
  
16 ===============================================================================42 ===============================================================================
17 ·····Generated·by [doxygen]·1.9.843 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 dualmortarbasis.hh12 ····*·refined
 13 ····*·common
 14 refinedsimplexlocalbasis.hh
13 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·5#ifndef·DUNE_LOCALFUNCTIONS_DUALMORTARBASIS_HH 
20 ·6#define·DUNE_LOCALFUNCTIONS_DUALMORTARBASIS_HH21 ·5#ifndef·DUNE_REFINED_SIMPLEX_LOCALBASIS_HH
 22 ·6#define·DUNE_REFINED_SIMPLEX_LOCALBASIS_HH
21 ·723 ·7
 24 ·12#include·<dune/common/fvector.hh>
 25 ·13#include·<dune/common/exceptions.hh>
22 ·8#include·<dune/localfunctions/dualmortarbasis/dualp1.hh>26 ·14#include·<dune/localfunctions/common/localbasis.hh>
23 ·9#include·<dune/localfunctions/dualmortarbasis/dualq1.hh>27 ·15
 28 ·16namespace·Dune
 29 ·17{
 30 ·18·template<class·D,·int·dim>
 31 19·class·RefinedSimplexLocalBasis
 32 ·20·{
 33 ·21·protected:
 34 22·RefinedSimplexLocalBasis()
 35 ·23·{
 36 ·24·DUNE_THROW(Dune::NotImplemented,"RefinedSimplexLocalBasis·not·implemented
 37 for·dim·>·3.");
 38 ·25·}
 39 ·26·};
 40 ·27
 41 ·35·template<class·D>
 42 36·class·RefinedSimplexLocalBasis<D,1>
 43 ·37·{
 44 ·38·protected:
 45 ·39
 46 41·RefinedSimplexLocalBasis()·{}
 47 ·42
 48 53·static·int·getSubElement(const·FieldVector<D,1>&·global)
 49 ·54·{
 50 ·55·if·(global[0]·<=·0.5)
 51 ·56·return·0;
 52 ·57·else·if·(global[0]·<=·1.0)
 53 ·58·return·1;
 54 ·59
 55 ·60·DUNE_THROW(InvalidStateException,·"no·subelement·defined");
 56 ·61·}
 57 ·62
 58 69·static·void·getSubElement(const·FieldVector<D,1>&·global,
 59 ·70·int&·subElement,
 60 ·71·FieldVector<D,1>&·local)
 61 ·72·{
 62 ·73·if·(global[0]·<=·0.5)·{
 63 ·74·subElement·=·0;
 64 ·75·local[0]·=·2.0·*·global[0];
 65 ·76·return;
 66 ·77·}
 67 ·78
 68 ·79·subElement·=·1;
 69 ·80·local[0]·=·2.0·*·global[0]·-·1.0;
 70 ·81·}
 71 ·82
 72 ·83·};
 73 ·84
 74 ·85
 75 ·96·template<class·D>
 76 97·class·RefinedSimplexLocalBasis<D,2>
 77 ·98·{
 78 ·99·protected:
24 ·1079 ·100
25 ·11#endif·//·#ifndef·DUNE_LOCALFUNCTIONS_DUALMORTARBASIS_HH 
26 dualp1.hh 
27 dualq1.hh80 102·RefinedSimplexLocalBasis()·{}
 81 ·103
 82 119·static·int·getSubElement(const·FieldVector<D,2>&·global)
 83 ·120·{
 84 ·121·if·(global[0]·+·global[1]·<=·0.5)
 85 ·122·return·0;
 86 ·123·else·if·(global[0]·>=·0.5)
 87 ·124·return·1;
 88 ·125·else·if·(global[1]·>=·0.5)
 89 ·126·return·2;
 90 ·127
 91 ·128·return·3;
 92 ·129·}
 93 ·130
 94 137·static·void·getSubElement(const·FieldVector<D,2>&·global,
 95 ·138·int&·subElement,
 96 ·139·FieldVector<D,2>&·local)
 97 ·140·{
 98 ·141·if·(global[0]·+·global[1]·<=·0.5)·{
 99 ·142·subElement·=·0;
 100 ·143·local[0]·=·2*global[0];
 101 ·144·local[1]·=·2*global[1];
 102 ·145·return;
 103 ·146·}·else·if·(global[0]·>=·0.5)·{
 104 ·147·subElement·=·1;
 105 ·148·local[0]·=·2*global[0]-1;
 106 ·149·local[1]·=·2*global[1];
 107 ·150·return;
 108 ·151·}·else·if·(global[1]·>=·0.5)·{
 109 ·152·subElement·=·2;
 110 ·153·local[0]·=·2*global[0];
 111 ·154·local[1]·=·2*global[1]-1;
 112 ·155·return;
 113 ·156·}
 114 ·157
 115 ·158·subElement·=·3;
 116 ·159·local[0]·=·-2·*·global[0]·+·1;
 117 ·160·local[1]·=·-2·*·global[1]·+·1;
 118 ·161
 119 ·162·}
 120 ·163
 121 ·164
 122 ·165·};
 123 ·166
 124 ·177·template<class·D>
 125 178·class·RefinedSimplexLocalBasis<D,3>
 126 ·179·{
 127 ·180·protected:
 128 ·181
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12 ····*·brezzidouglasmarini12 ····*·refined
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 brezzidouglasmarini2cube2d.hh·File·Reference14 refinedp1.hh·File·Reference
15 #include·<dune/geometry/type.hh>15 #include·<dune/geometry/type.hh>
16 #include·"../common/localfiniteelementtraits.hh"16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 17 #include·<dune/localfunctions/lagrange/p0.hh>
 18 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 19 #include·<dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh>
17 #include·"brezzidouglasmarini2cube2d/brezzidouglasmarini2cube2dlocalbasis.hh" 
18 #include·"brezzidouglasmarini2cube2d/ 
19 brezzidouglasmarini2cube2dlocalcoefficients.hh" 
20 #include·"brezzidouglasmarini2cube2d/ 
21 brezzidouglasmarini2cube2dlocalinterpolation.hh" 
22 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
23 ·Classes21 ·Classes
24 class· Dune::BDM2Cube2DLocalFiniteElement<_D,_R_>22 class· Dune::RefinedP1LocalFiniteElement<_D,_R,_dim_>
25  ······Second·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals. 
26 ········More...23  ······Piecewise·linear·continuous·Lagrange·functions·on·a·uniformly·refined
 24 ········simplex·element.·More...
27  25  
28 ·Namespaces26 ·Namespaces
29 namespace· Dune27 namespace· Dune
30  28  
  
31 ===============================================================================29 ===============================================================================
32 ·····Generated·by [doxygen]·1.9.830 ·····Generated·by [doxygen]·1.9.8
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3 <head>3 <head>
4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>
5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>
6 <meta·name="generator"·content="Doxygen·1.9.8"/>6 <meta·name="generator"·content="Doxygen·1.9.8"/>
7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>
8 <title>dune-localfunctions:·brezzidouglasmarini2cube2d.hh·Source·File</title>8 <title>dune-localfunctions:·refinedp1.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
11 <script·type="text/javascript"·src="dynsections.js"></script>11 <script·type="text/javascript"·src="dynsections.js"></script>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·brezzidouglasmarini 
13 brezzidouglasmarini2cube2d.hh12 ····*·refined
 13 refinedp1.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_QUBE2D_LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_QUBE2D_LOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_REFINED_REFINEDP1_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_REFINED_REFINEDP1_HH
22 ·722 ·7
23 ·8#include·<dune/geometry/type.hh>23 ·8#include·<dune/geometry/type.hh>
24 ·924 ·9
25 ·10#include·"../common/localfiniteelementtraits.hh"25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 26 ·11#include·<dune/localfunctions/lagrange/p0.hh>
 27 ·12
 28 ·13#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 29 ·14#include·<dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh>
 30 ·15
26 ·11#include·"brezzidouglasmarini2cube2d/ 
27 brezzidouglasmarini2cube2dlocalbasis.hh" 
28 ·12#include·"brezzidouglasmarini2cube2d/ 
29 brezzidouglasmarini2cube2dlocalcoefficients.hh" 
30 ·13#include·"brezzidouglasmarini2cube2d/ 
31 brezzidouglasmarini2cube2dlocalinterpolation.hh" 
32 ·14 
33 ·15namespace·Dune31 ·16namespace·Dune
34 ·16{32 ·17{
 33 ·18
35 ·25·template<class·D,·class·R>34 ·25·template<class·D,·class·R,·int·dim>
36 26·class·BDM2Cube2DLocalFiniteElement35 26·class·RefinedP1LocalFiniteElement
37 ·27·{36 ·27·{
38 ·28 
39 ·29·public:37 ·28·public:
40 ·30·typedef·LocalFiniteElementTraits< 
41 ·31·BDM2Cube2DLocalBasis<D,R>, 
42 ·32·BDM2Cube2DLocalCoefficients, 
43 33·BDM2Cube2DLocalInterpolation<BDM2Cube2DLocalBasis<D,R>·>·>·Traits;38 ·31·typedef·LocalFiniteElementTraits<RefinedP1LocalBasis<D,R,dim>,
 39 ·32·Impl::LagrangeSimplexLocalCoefficients<dim,2>,
 40 33·Impl::LagrangeSimplexLocalInterpolation<Impl::
 41 LagrangeSimplexLocalBasis<D,R,dim,2>·>·>·Traits;
44 ·3442 ·34
45 36·BDM2Cube2DLocalFiniteElement·()43 37·RefinedP1LocalFiniteElement·()
46 ·37·{}44 ·38·{}
 45 ·39
47 ·38 
48 44·BDM2Cube2DLocalFiniteElement·(int·s)·: 
49 ·45·basis(s), 
50 ·46·interpolation(s) 
51 ·47·{} 
52 ·48 
53 49·const·typename·Traits::LocalBasisType&·localBasis·()·const46 42·const·typename·Traits::LocalBasisType&·localBasis·()·const
 47 ·43·{
 48 ·44·return·basis_;
 49 ·45·}
 50 ·46
 51 49·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
54 ·50·{52 ·50·{
55 ·51·return·basis;53 ·51·return·coefficients_;
56 ·52·}54 ·52·}
57 ·5355 ·53
58 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
59 ·55·{ 
60 ·56·return·coefficients; 
61 ·57·} 
62 ·58 
63 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const56 56·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
64 ·60·{57 ·57·{
65 ·61·return·interpolation;58 ·58·return·interpolation_;
66 ·62·} 
67 ·6359 ·59·}
 60 ·60
68 65·unsigned·int·size·()·const61 62·unsigned·int·size·()·const
69 ·66·{62 ·63·{
70 ·67·return·basis.size();63 ·64·return·basis_.size();
71 ·68·}64 ·65·}
72 ·6965 ·66
73 70·static·constexpr·GeometryType·type·()66 69·static·constexpr·GeometryType·type·()
74 ·71·{67 ·70·{
75 ·72·return·GeometryTypes::quadrilateral;68 ·71·return·GeometryTypes::simplex(dim);
76 ·73·}69 ·72·}
77 ·7470 ·73
78 ·75·private:71 ·74·private:
79 ·76·BDM2Cube2DLocalBasis<D,R>·basis; 
80 ·77·BDM2Cube2DLocalCoefficients·coefficients; 
81 ·78·BDM2Cube2DLocalInterpolation<BDM2Cube2DLocalBasis<D,R>·>·interpolation; 
82 ·79·};72 ·75·RefinedP1LocalBasis<D,R,dim>·basis_;
 73 ·76·Impl::LagrangeSimplexLocalCoefficients<dim,2>·coefficients_;
 74 ·77·//·Yes,·the·template·argument·here·really·is·LagrangeSimplexLocalBasis,
 75 even·though·this·is·not
 76 ·78·//·the·local·basis·of·the·refined·locale·finite·element:·The·reason·is·that
 77 LagrangeSimplexLocalInterpolation
 78 ·79·//·uses·this·argument·to·determine·the·polynomial·order,·and
 79 RefinedP1LocalBasis·returns·order·1
 80 ·80·//·whereas·order·2·is·needed·here.
 81 ·81·Impl::LagrangeSimplexLocalInterpolation<Impl::
 82 LagrangeSimplexLocalBasis<D,R,dim,2>·>·interpolation_;
 83 ·82·};
 84 ·83
83 ·80}85 ·84}
84 ·81#endif·/ 
85 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_QUBE2D_LOCALFINITEELEMENT_HH 
86 brezzidouglasmarini2cube2dlocalcoefficients.hh 
87 brezzidouglasmarini2cube2dlocalbasis.hh 
88 brezzidouglasmarini2cube2dlocalinterpolation.hh86 ·85
 87 ·86#endif·//·DUNE_LOCALFUNCTIONS_REFINED_REFINEDP1_HH
 88 localfiniteelementtraits.hh
 89 refinedp1localbasis.hh
 90 Linear·Lagrange·shape·functions·on·a·uniformly·refined·reference·element.
 91 p0.hh
 92 lagrangesimplex.hh
89 Dune93 Dune
90 Definition·bdfmcube.hh:1894 Definition·bdfmcube.hh:18
91 Dune::BDM2Cube2DLocalFiniteElement 
92 Second·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals. 
93 Definition·brezzidouglasmarini2cube2d.hh:27 
94 Dune::BDM2Cube2DLocalFiniteElement::BDM2Cube2DLocalFiniteElement 
95 BDM2Cube2DLocalFiniteElement() 
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8 <title>dune-localfunctions:·brezzidouglasmarini1cube2d.hh·File·Reference</title>8 <title>dune-localfunctions:·refinedp1localbasis.hh·File·Reference</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·brezzidouglasmarini12 ····*·refined
 13 ····*·refinedp1
13 Classes·|·Namespaces14 Classes·|·Namespaces
 15 refinedp1localbasis.hh·File·Reference
 16 Linear·Lagrange·shape·functions·on·a·uniformly·refined·reference·element.
 17 More...
 18 #include·<numeric>
 19 #include·<dune/common/fmatrix.hh>
 20 #include·<dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh>
14 brezzidouglasmarini1cube2d.hh·File·Reference 
15 #include·<dune/geometry/type.hh> 
16 #include·"../common/localfiniteelementtraits.hh" 
17 #include·"brezzidouglasmarini1cube2d/brezzidouglasmarini1cube2dlocalbasis.hh" 
18 #include·"brezzidouglasmarini1cube2d/ 
19 brezzidouglasmarini1cube2dlocalcoefficients.hh" 
20 #include·"brezzidouglasmarini1cube2d/ 
21 brezzidouglasmarini1cube2dlocalinterpolation.hh" 
22 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
23 ·Classes22 ·Classes
24 class· Dune::BDM1Cube2DLocalFiniteElement<_D,_R_> 
25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.23 class· Dune::RefinedP1LocalBasis<_D,_R,_dim_>
 24  
 25 class· Dune::RefinedP1LocalBasis<_D,_R,_1_>
 26  ······Uniformly·refined·linear·Lagrange·shape·functions·in·1D.·More...
 27  
 28 class· Dune::RefinedP1LocalBasis<_D,_R,_2_>
 29  ······Uniformly·refined·linear·Lagrange·shape·functions·on·the·triangle.
26 ········More...30 ········More...
27  31  
 32 class· Dune::RefinedP1LocalBasis<_D,_R,_3_>
 33  ······Uniformly·refined·linear·Lagrange·shape·functions·on·the·3D-simplex
 34 ········(tetrahedron).·More...
 35  
28 ·Namespaces36 ·Namespaces
29 namespace· Dune37 namespace· Dune
30  38  
 39 *****·Detailed·Description·*****
 40 Linear·Lagrange·shape·functions·on·a·uniformly·refined·reference·element.
  
31 ===============================================================================41 ===============================================================================
32 ·····Generated·by [doxygen]·1.9.842 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·brezzidouglasmarini1cube2d.hh·Source·File</title>8 <title>dune-localfunctions:·refinedp1localbasis.hh·Source·File</title>
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7 Loading...7 Loading...
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·brezzidouglasmarini 
13 brezzidouglasmarini1cube2d.hh12 ····*·refined
 13 ····*·refinedp1
 14 refinedp1localbasis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE2D_LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE2D_LOCALFINITEELEMENT_HH21 ·5#ifndef·DUNE_REFINED_P1_LOCALBASIS_HH
 22 ·6#define·DUNE_REFINED_P1_LOCALBASIS_HH
22 ·723 ·7
 24 ·12#include·<numeric>
 25 ·13
 26 ·14#include·<dune/common/fmatrix.hh>
 27 ·15
 28 ·16#include·<dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh>
 29 ·17
23 ·8#include·<dune/geometry/type.hh> 
24 ·9 
25 ·10#include·"../common/localfiniteelementtraits.hh" 
26 ·11#include·"brezzidouglasmarini1cube2d/ 
27 brezzidouglasmarini1cube2dlocalbasis.hh" 
28 ·12#include·"brezzidouglasmarini1cube2d/ 
29 brezzidouglasmarini1cube2dlocalcoefficients.hh" 
30 ·13#include·"brezzidouglasmarini1cube2d/ 
31 brezzidouglasmarini1cube2dlocalinterpolation.hh" 
32 ·14 
33 ·15namespace·Dune30 ·18namespace·Dune
34 ·16{31 ·19{
 32 ·20·template<class·D,·class·R,·int·dim>
 33 21·class·RefinedP1LocalBasis
 34 ·22·:·public·RefinedSimplexLocalBasis<D,dim>
 35 ·23·{
 36 ·24·public:
 37 25·RefinedP1LocalBasis()
 38 ·26·{
 39 ·27·DUNE_THROW(Dune::NotImplemented,"RefinedP1LocalBasis·not·implemented·for
 40 dim·>·3.");
 41 ·28·}
 42 ·29·};
 43 ·30
35 ·25·template<class·D,·class·R>44 ·52·template<class·D,·class·R>
 45 53·class·RefinedP1LocalBasis<D,R,1>
 46 ·54·:·public·RefinedSimplexLocalBasis<D,1>
36 26·class·BDM1Cube2DLocalFiniteElement 
37 ·27·{ 
38 ·28 
39 ·29·public: 
40 ·30·typedef·LocalFiniteElementTraits< 
41 ·31·BDM1Cube2DLocalBasis<D,R>, 
42 ·32·BDM1Cube2DLocalCoefficients, 
43 33·BDM1Cube2DLocalInterpolation<BDM1Cube2DLocalBasis<D,R>·>·>·Traits; 
44 ·34 
45 36·BDM1Cube2DLocalFiniteElement·() 
46 ·37·{} 
47 ·38 
48 44·BDM1Cube2DLocalFiniteElement·(int·s)·: 
49 ·45·basis(s), 
50 ·46·interpolation(s) 
51 ·47·{} 
52 ·48 
53 49·const·typename·Traits::LocalBasisType&·localBasis·()·const 
54 ·50·{ 
55 ·51·return·basis; 
56 ·52·} 
57 ·53 
58 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
Diff chunk too large, falling back to line-by-line diff (722 lines added, 29 lines removed)
59 ·55·{47 ·55·{
60 ·56·return·coefficients;48 ·56·public:
61 ·57·}49 ·58·typedef·LocalBasisTraits<D,1,Dune::FieldVector<D,1>,R,1,Dune::
62 ·5850 FieldVector<R,1>,
63 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const51 59·Dune::FieldMatrix<R,1,1>·>·Traits;
64 ·60·{52 ·60
65 ·61·return·interpolation;53 62·static·constexpr·unsigned·int·size·()
66 ·62·}54 ·63·{
67 ·6355 ·64·return·3;
68 65·unsigned·int·size·()·const56 ·65·}
69 ·66·{57 ·66
70 ·67·return·basis.size();58 68·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
71 ·68·}59 ·69·std::vector<typename·Traits::RangeType>&·out)·const
72 ·6960 ·70·{
73 70·static·constexpr·GeometryType·type·()61 ·71·out.resize(3);
74 ·71·{62 ·72
75 ·72·return·GeometryTypes::quadrilateral;63 ·73·int·subElement;
76 ·73·}64 ·74·typename·Traits::DomainType·local;
77 ·7465 ·75·this->getSubElement(in,·subElement,·local);
78 ·75·private:66 ·76
79 ·76·BDM1Cube2DLocalBasis<D,R>·basis;67 ·77·switch·(subElement)·{
80 ·77·BDM1Cube2DLocalCoefficients·coefficients;68 ·78·case·0·:
81 ·78·BDM1Cube2DLocalInterpolation<BDM1Cube2DLocalBasis<D,R>·>·interpolation;69 ·79
82 ·79·};70 ·80·out[0]·=·1·-·local[0];
83 ·80}71 ·81·out[1]·=·local[0];
84 ·81#endif·/72 ·82·out[2]·=·0;
85 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE2D_LOCALFINITEELEMENT_HH73 ·83·break;
86 brezzidouglasmarini1cube2dlocalcoefficients.hh74 ·84
87 brezzidouglasmarini1cube2dlocalbasis.hh75 ·85·case·1·:
88 brezzidouglasmarini1cube2dlocalinterpolation.hh76 ·86
 77 ·87·out[0]·=·0;
 78 ·88·out[1]·=·1·-·local[0];
 79 ·89·out[2]·=·local[0];
 80 ·90·break;
 81 ·91
 82 ·92·}
 83 ·93
 84 ·94·}
 85 ·95
 86 ·97·inline·void
 87 98·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
 88 ·99·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
 89 ·100·{
 90 ·101·out.resize(3);
 91 ·102
 92 ·103·int·subElement;
 93 ·104·typename·Traits::DomainType·local;
 94 ·105·this->getSubElement(in,·subElement,·local);
 95 ·106
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·brezzidouglasmarini12 ····*·refined
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 brezzidouglasmarinicube.hh·File·Reference 
15 #include·<dune/localfunctions/brezzidouglasmarini/ 
16 brezzidouglasmarini1cube2d.hh> 
17 #include·<dune/localfunctions/brezzidouglasmarini/ 
18 brezzidouglasmarini1cube3d.hh> 
19 #include·<dune/localfunctions/brezzidouglasmarini/ 
20 brezzidouglasmarini2cube2d.hh>14 refinedp0.hh·File·Reference
 15 Piecewise·P0·finite·element.·More...
 16 #include·<dune/geometry/type.hh>
 17 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 18 #include·<dune/localfunctions/lagrange/p0.hh>
 19 #include·"refinedp0/refinedp0localbasis.hh"
 20 #include·"refinedp0/refinedp0localcoefficients.hh"
 21 #include·"refinedp0/refinedp0localinterpolation.hh"
21 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
22 ·Classes23 ·Classes
23 class· Dune::BrezziDouglasMariniCubeLocalFiniteElement<_D,_R,_2,_1_> 
24  ······Brezzi-Douglas-Marini·local·finite·elements·for·cubes·with·dimension·2 
25 ········and·order·1.·More...24 class· Dune::RefinedP0LocalFiniteElement<_D,_R,_dim_>
 25  ······Local·finite·element·that·is·piecewise·P0·on·a·once·uniformly·refined
 26 ········reference·geometry.·More...
26  27  
27 class· Dune::BrezziDouglasMariniCubeLocalFiniteElement<_D,_R,_2,_2_>28 class· Dune::RefinedP0LocalFiniteElement<_D,_R,_1_>
28  ······Brezzi-Douglas-Marini·local·finite·elements·for·cubes·with·dimension·2 
29 ········and·order·2.·More...29  ······Local·finite·element·that·is·piecewise·P0·on·a·once·uniformly·refined
 30 ········reference·geometry.·More...
30  31  
 32 class· Dune::RefinedP0LocalFiniteElement<_D,_R,_2_>
 33  ······Local·finite·element·that·is·piecewise·P0·on·a·once·uniformly·refined
 34 ········reference·geometry.·More...
 35  
31 class· Dune::BrezziDouglasMariniCubeLocalFiniteElement<_D,_R,_3,_1_>36 class· Dune::RefinedP0LocalFiniteElement<_D,_R,_3_>
32  ······Brezzi-Douglas-Marini·local·finite·elements·for·cubes·with·dimension·3 
33 ········and·order·1.·More...37  ······Local·finite·element·that·is·piecewise·P0·on·a·once·uniformly·refined
 38 ········reference·geometry.·More...
34  39  
35 ·Namespaces40 ·Namespaces
36 namespace· Dune41 namespace· Dune
37  42  
 43 *****·Detailed·Description·*****
 44 Piecewise·P0·finite·element.
  
38 ===============================================================================45 ===============================================================================
39 ·····Generated·by [doxygen]·1.9.846 ·····Generated·by [doxygen]·1.9.8
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12 ····*·brezzidouglasmarini 
13 brezzidouglasmarinicube.hh12 ····*·refined
 13 refinedp0.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINICUBE_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINICUBE_HH20 ·5#ifndef·DUNE_REFINED_P0_LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_REFINED_P0_LOCALFINITEELEMENT_HH
22 ·722 ·7
 23 ·8#include·<dune/geometry/type.hh>
 24 ·9
 25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 26 ·11#include·<dune/localfunctions/lagrange/p0.hh>
23 ·8#include·<dune/localfunctions/brezzidouglasmarini/ 
24 brezzidouglasmarini1cube2d.hh> 
25 ·9#include·<dune/localfunctions/brezzidouglasmarini/ 
26 brezzidouglasmarini1cube3d.hh> 
27 ·10#include·<dune/localfunctions/brezzidouglasmarini/ 
28 brezzidouglasmarini2cube2d.hh> 
29 ·11 
30 ·1227 ·12
 28 ·13#include·"refinedp0/refinedp0localbasis.hh"
 29 ·14#include·"refinedp0/refinedp0localcoefficients.hh"
 30 ·15#include·"refinedp0/refinedp0localinterpolation.hh"
 31 ·16
31 ·13namespace·Dune32 ·20namespace·Dune
32 ·14{33 ·21{
 34 ·22
33 ·23·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order> 
34 24·class·BrezziDouglasMariniCubeLocalFiniteElement; 
35 ·25 
36 ·29·template<class·D,·class·R>35 ·25·template<class·D,·class·R,·int·dim>
 36 26·class·RefinedP0LocalFiniteElement
37 30·class·BrezziDouglasMariniCubeLocalFiniteElement<D,·R,·2,·1> 
38 ·31·:·public·BDM1Cube2DLocalFiniteElement<D,·R> 
39 ·32·{37 ·27·{
 38 ·28·RefinedP0LocalFiniteElement()·{}
 39 ·29
40 ·33·public:40 ·30·public:
 41 ·31·//·We·steal·the·p0·traits·since·they·exist·for·all·dim.
 42 ·32·//·This·allows·to·instantiate·the·type·and·access·the·Traits.
 43 33·typedef·typename·P0LocalFiniteElement<D,R,dim>::Traits·Traits;
41 35·BrezziDouglasMariniCubeLocalFiniteElement() 
42 ·36·{} 
43 ·37 
44 43·BrezziDouglasMariniCubeLocalFiniteElement(int·s) 
45 ·44·:·BDM1Cube2DLocalFiniteElement<D,·R>::BDM1Cube2DLocalFiniteElement(s) 
46 ·45·{} 
47 ·46·};44 ·34·};
 45 ·35
48 ·47 
49 ·51·template<class·D,·class·R> 
50 52·class·BrezziDouglasMariniCubeLocalFiniteElement<D,·R,·2,·2> 
51 ·53·:·public·BDM2Cube2DLocalFiniteElement<D,·R> 
52 ·54·{ 
53 ·55·public: 
54 57·BrezziDouglasMariniCubeLocalFiniteElement() 
55 ·58·{} 
56 ·59 
57 65·BrezziDouglasMariniCubeLocalFiniteElement(int·s) 
58 ·66·:·BDM2Cube2DLocalFiniteElement<D,·R>::BDM2Cube2DLocalFiniteElement(s) 
59 ·67·{} 
60 ·68·}; 
61 ·69 
62 ·73·template<class·D,·class·R>46 ·38·template<class·D,·class·R>
 47 39·class·RefinedP0LocalFiniteElement<D,R,1>
 48 ·40·{
63 74·class·BrezziDouglasMariniCubeLocalFiniteElement<D,·R,·3,·1> 
64 ·75·:·public·BDM1Cube3DLocalFiniteElement<D,·R> 
65 ·76·{ 
66 ·77·public:49 ·41·public:
67 79·BrezziDouglasMariniCubeLocalFiniteElement() 
68 ·80·{} 
69 ·81 
70 87·BrezziDouglasMariniCubeLocalFiniteElement(int·s) 
71 ·88·:·BDM1Cube3DLocalFiniteElement<D,·R>::BDM1Cube3DLocalFiniteElement(s) 
72 ·89·{}50 ·44·typedef·LocalFiniteElementTraits<
 51 ·45·RefinedP0LocalBasis<D,R,1>,
 52 ·46·RefinedP0LocalCoefficients<1>,
 53 47·RefinedP0LocalInterpolation<RefinedP0LocalBasis<D,R,1>·>·>·Traits;
 54 ·48
 55 51·RefinedP0LocalFiniteElement·()
 56 ·52·{}
 57 ·53
 58 56·const·typename·Traits::LocalBasisType&·localBasis·()·const
 59 ·57·{
 60 ·58·return·basis_;
 61 ·59·}
 62 ·60
 63 63·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 64 ·64·{
 65 ·65·return·coefficients_;
 66 ·66·}
 67 ·67
 68 70·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 69 ·71·{
 70 ·72·return·interpolation_;
 71 ·73·}
 72 ·74
 73 76·unsigned·int·size·()·const
 74 ·77·{
 75 ·78·return·basis_.size();
 76 ·79·}
 77 ·80
 78 83·static·constexpr·GeometryType·type·()
 79 ·84·{
 80 ·85·return·GeometryTypes::line;
 81 ·86·}
 82 ·87
 83 ·88·private:
 84 ·89·RefinedP0LocalBasis<D,R,1>·basis_;
 85 ·90·RefinedP0LocalCoefficients<1>·coefficients_;
 86 ·91·RefinedP0LocalInterpolation<RefinedP0LocalBasis<D,R,1>·>·interpolation_;
73 ·90·};87 ·92·};
74 ·91 
75 ·92}·//·namespace·Dune 
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26  ······Second·order·Brezzi-Douglas-Marini·shape·functions·on·triangles. 
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 mimetic.hh
12 ····*·brezzidouglasmarini 
13 brezzidouglasmarini2simplex2d.hh 
14 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 19 ·5#ifndef·DUNE_MIMETICLOCALFINITEELEMENT_HH
 20 ·6#define·DUNE_MIMETICLOCALFINITEELEMENT_HH
20 ·5#ifndef 
21 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALFINITEELEMENT_HH 
22 ·6#define 
23 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALFINITEELEMENT_HH 
24 ·721 ·7
25 ·8#include·<dune/geometry/type.hh>22 ·8#include·<dune/geometry/type.hh>
26 ·923 ·9
27 ·10#include·"../common/localfiniteelementtraits.hh"24 ·10#include·"common/localfiniteelementtraits.hh"
 25 ·11#include·"mimetic/mimeticall.hh"
 26 ·12
28 ·11#include·"brezzidouglasmarini2simplex2d/ 
29 brezzidouglasmarini2simplex2dlocalbasis.hh" 
30 ·12#include·"brezzidouglasmarini2simplex2d/ 
31 brezzidouglasmarini2simplex2dlocalcoefficients.hh" 
32 ·13#include·"brezzidouglasmarini2simplex2d/ 
33 brezzidouglasmarini2simplex2dlocalinterpolation.hh" 
34 ·14 
35 ·15namespace·Dune27 ·13namespace·Dune
36 ·16{28 ·14{
37 ·25·template<class·D,·class·R>29 ·22·template<class·D,·class·R,·int·dim>
38 26·class·BDM2Simplex2DLocalFiniteElement30 23·class·MimeticLocalFiniteElement
39 ·27·{31 ·24·{
40 ·2832 ·25·Dune::GeometryType·gt;
 33 ·26·MimeticLocalBasis<D,R,dim>·basis;
 34 ·27·MimeticLocalCoefficients·coefficients;
 35 ·28·MimeticLocalInterpolation<MimeticLocalBasis<D,R,dim>·>·interpolation;
 36 ·29
41 ·29·public:37 ·30·public:
 38 ·31·typedef·Dune::LocalFiniteElementTraits<MimeticLocalBasis<D,R,dim>,
42 ·30·typedef·LocalFiniteElementTraits< 
43 ·31·BDM2Simplex2DLocalBasis<D,R>, 
44 ·32·BDM2Simplex2DLocalCoefficients,39 ·32·MimeticLocalCoefficients,
45 33·BDM2Simplex2DLocalInterpolation<BDM2Simplex2DLocalBasis<D,R>·>·>·Traits;40 33·MimeticLocalInterpolation<MimeticLocalBasis<D,R,dim>·>·>·Traits;
46 ·3441 ·34
47 36·BDM2Simplex2DLocalFiniteElement·()42 35·MimeticLocalFiniteElement·()
48 ·37·{}43 ·36·{}
 44 ·37
 45 38·MimeticLocalFiniteElement·(Dune::GeometryType::BasicType·basicType)
 46 ·39·:·gt(basicType,dim)
49 ·38 
50 44·BDM2Simplex2DLocalFiniteElement·(int·s)·: 
51 ·45·basis(s), 
52 ·46·interpolation(s) 
53 ·47·{}47 ·40·{}
54 ·4848 ·41
 49 42·MimeticLocalFiniteElement·(Dune::GeometryType::BasicType·basicType,·unsigned
 50 int·variant)
 51 ·43·:·gt(basicType,dim),·basis(variant),·coefficients(variant)
 52 ·44·{}
 53 ·45
55 49·const·typename·Traits::LocalBasisType&·localBasis·()·const54 46·const·typename·Traits::LocalBasisType&·localBasis·()·const
56 ·50·{55 ·47·{
57 ·51·return·basis;56 ·48·return·basis;
58 ·52·} 
59 ·5357 ·49·}
 58 ·50
60 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const59 51·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
61 ·55·{60 ·52·{
62 ·56·return·coefficients;61 ·53·return·coefficients;
63 ·57·}62 ·54·}
64 ·5863 ·55
65 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const64 56·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
66 ·60·{65 ·57·{
67 ·61·return·interpolation;66 ·58·return·interpolation;
 67 ·59·}
 68 ·60
 69 61·Dune::GeometryType·type·()·const·{·return·gt;·}
68 ·62·}70 ·62·};
69 ·6371 ·63}
 72 ·64
 73 ·65#endif
 74 localfiniteelementtraits.hh
 75 mimeticall.hh
70 65·unsigned·int·size·()·const 
71 ·66·{ 
72 ·67·return·basis.size(); 
73 ·68·} 
74 ·69 
75 70·static·constexpr·GeometryType·type·() 
76 ·71·{ 
77 ·72·return·GeometryTypes::triangle; 
78 ·73·} 
79 ·74 
80 ·75·private: 
81 ·76·BDM2Simplex2DLocalBasis<D,R>·basis; 
82 ·77·BDM2Simplex2DLocalCoefficients·coefficients; 
83 ·78·BDM2Simplex2DLocalInterpolation<BDM2Simplex2DLocalBasis<D,R>·> 
84 interpolation; 
85 ·79·}; 
86 ·80} 
87 ·81#endif·/ 
88 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALFINITEELEMENT_HH 
89 brezzidouglasmarini2simplex2dlocalbasis.hh 
90 brezzidouglasmarini2simplex2dlocalcoefficients.hh 
91 brezzidouglasmarini2simplex2dlocalinterpolation.hh 
92 Dune76 Dune
93 Definition·bdfmcube.hh:1877 Definition·bdfmcube.hh:18
94 Dune::BDM2Simplex2DLocalFiniteElement 
95 Second·order·Brezzi-Douglas-Marini·shape·functions·on·triangles. 
96 Definition·brezzidouglasmarini2simplex2d.hh:27 
97 Dune::BDM2Simplex2DLocalFiniteElement::localCoefficients 
98 const·Traits::LocalCoefficientsType·&·localCoefficients()·const 
99 Definition·brezzidouglasmarini2simplex2d.hh:54 
100 Dune::BDM2Simplex2DLocalFiniteElement::Traits 
101 LocalFiniteElementTraits<·BDM2Simplex2DLocalBasis<·D,·R·>, 
102 BDM2Simplex2DLocalCoefficients,·BDM2Simplex2DLocalInterpolation< 
103 BDM2Simplex2DLocalBasis<·D,·R·>·>·>·Traits 
104 Definition·brezzidouglasmarini2simplex2d.hh:33 
105 Dune::BDM2Simplex2DLocalFiniteElement::BDM2Simplex2DLocalFiniteElement 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1simplex2d 
14 Classes·|·Namespaces13 Classes·|·Namespaces·|·Functions
 14 equidistantpoints.hh·File·Reference
 15 #include·<cstddef>
 16 #include·<algorithm>
15 brezzidouglasmarini1simplex2dlocalbasis.hh·File·Reference 
16 #include·<array> 
17 #include·<bitset> 
18 #include·<numeric> 
19 #include·<vector>17 #include·<vector>
20 #include·<dune/common/fmatrix.hh> 
21 #include·"../../common/localbasis.hh"18 #include·<dune/geometry/referenceelements.hh>
 19 #include·<dune/geometry/type.hh>
 20 #include·<dune/localfunctions/lagrange/emptypoints.hh>
 21 #include·<dune/localfunctions/utility/field.hh>
22 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
23 ·Classes23 ·Classes
 24 class· Dune::EquidistantPointSet<_F,_dim_>
24 class· Dune::BDM1Simplex2DLocalBasis<_D,_R_> 
25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference 
26 ········triangle.·More... 
27  25  
28 ·Namespaces26 ·Namespaces
29 namespace· Dune27 namespace· Dune
30  28  
 29 ·Functions
 30 ········std::size_t Dune::numLagrangePoints·(const·GeometryType·&gt,·std::
 31 ·····················size_t·order)
 32  
 33 ········std::size_t Dune::numLagrangePoints·(unsigned·int·topologyId,·unsigned
 34 ·····················int·dim,·std::size_t·order)
 35  
 36 template<class·ct·,·unsigned·int·cdim>
 37 static·unsigned·int Dune::equidistantLagrangePoints·(const·GeometryType·&gt,
 38 ·····················unsigned·int·codim,·std::size_t·order,·unsigned·int
 39 ·····················*count,·LagrangePoint<·ct,·cdim·>·*points)
 40  
 41 template<class·ct·,·unsigned·int·cdim>
 42 static·unsigned·int Dune::equidistantLagrangePoints·(unsigned·int·topologyId,
 43 ·····················unsigned·int·dim,·unsigned·int·codim,·std::size_t·order,
 44 ·····················unsigned·int·*count,·LagrangePoint<·ct,·cdim·>·*points)
 45  
  
31 ===============================================================================46 ===============================================================================
32 ·····Generated·by [doxygen]·1.9.847 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·brezzidouglasmarini1simplex2dlocalbasis.hh·Source·File</title>8 <title>dune-localfunctions:·equidistantpoints.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 equidistantpoints.hh
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1simplex2d 
14 brezzidouglasmarini1simplex2dlocalbasis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*- 
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2: 
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file15 ·1//·SPDX-FileCopyrightText:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root16 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception17 ·2//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALBASIS_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALBASIS_HH18 ·3#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_EQUIDISTANTPOINTS_HH
 19 ·4#define·DUNE_LOCALFUNCTIONS_LAGRANGE_EQUIDISTANTPOINTS_HH
 20 ·5
 21 ·6#include·<cstddef>
23 ·722 ·7
24 ·8#include·<array>23 ·8#include·<algorithm>
25 ·9#include·<bitset> 
26 ·10#include·<numeric> 
27 ·11#include·<vector>24 ·9#include·<vector>
28 ·12 
29 ·13#include·<dune/common/fmatrix.hh> 
30 ·14 
31 ·15#include·"../../common/localbasis.hh"25 ·10
 26 ·11#include·<dune/geometry/referenceelements.hh>
 27 ·12#include·<dune/geometry/type.hh>
 28 ·13
 29 ·14#include·<dune/localfunctions/lagrange/emptypoints.hh>
 30 ·15#include·<dune/localfunctions/utility/field.hh>
32 ·1631 ·16
33 ·17namespace·Dune32 ·17namespace·Dune
34 ·18{33 ·18{
35 ·28·template<class·D,·class·R> 
36 29·class·BDM1Simplex2DLocalBasis34 ·19
 35 ·20·//·numLagrangePoints
 36 ·21·//·-----------------
 37 ·22
 38 23·inline·std::size_t·numLagrangePoints·(·const·GeometryType&·gt,·std::size_t
 39 order·)
 40 ·24·{
 41 ·25·const·int·dim·=·gt.dim();
 42 ·26·if(·dim·>·0·)
 43 ·27·{
 44 ·28·const·GeometryType·baseGeometryType·=·Impl::getBase(·gt·);
 45 ·29·if(·gt.isConical()·)
37 ·30·{46 ·30·{
 47 ·31·std::size_t·size·=·0;
 48 ·32·for(·unsigned·int·o·=·0;·o·<=·order;·++o·)
 49 ·33·size·+=·numLagrangePoints(·baseGeometryType,·o·);
 50 ·34·return·size;
38 ·31 
39 ·32·public: 
40 ·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune:: 
41 FieldVector<R,2>, 
42 34·Dune::FieldMatrix<R,2,2>·>·Traits; 
43 ·3551 ·35·}
44 37·BDM1Simplex2DLocalBasis·()52 ·36·else
 53 ·37·return·numLagrangePoints(·baseGeometryType,·order·)·*·(order+1);
45 ·38·{54 ·38·}
46 ·39·for·(size_t·i=0;·i<3;·i++) 
47 ·40·sign_[i]·=·1.0;55 ·39·else
 56 ·40·return·1;
48 ·41·}57 ·41·}
49 ·4258 ·42
50 48·BDM1Simplex2DLocalBasis·(std::bitset<3>·s)59 ·43·[[deprecated("Use·numLagrangePoints(const·GeometryType&·gt,·std::size_t
 60 order·)·instead.")]]
 61 44·inline·std::size_t·numLagrangePoints·(·unsigned·int·topologyId,·unsigned·int
 62 dim,·std::size_t·order·)
51 ·49·{63 ·45·{
52 ·50·for·(size_t·i=0;·i<3;·i++) 
53 ·51·sign_[i]·=·s[i]·?·-1.0·:·1.0; 
54 ·52·}64 ·46·return·numLagrangePoints·(·GeometryType(topologyId,·dim),·order);
 65 ·47·}
 66 ·48
 67 ·49
 68 ·50
 69 ·51·//·equidistantLagrangePoints
 70 ·52·//·-------------------------
55 ·5371 ·53
56 55·unsigned·int·size·()·const72 ·54·template<·class·ct,·unsigned·int·cdim·>
 73 55·inline·static·unsigned·int·equidistantLagrangePoints·(·const·GeometryType&
 74 gt,·unsigned·int·codim,·std::size_t·order,·unsigned·int·*count,·LagrangePoint<
 75 ct,_cdim_>·*points·)
57 ·56·{76 ·56·{
58 ·57·return·6; 
59 ·58·}77 ·57·const·unsigned·int·dim·=·gt.dim();
 78 ·58·assert(·(0·<=·codim)·&&·(codim·<=·dim)·&&·(dim·<=·cdim)·);
60 ·5979 ·59
 80 ·60·if(·dim·>·0·)
61 66·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
62 ·67·std::vector<typename·Traits::RangeType>&·out)·const 
63 ·68·{81 ·61·{
64 ·69·out.resize(6);82 ·62·const·GeometryType·baseGeometryType·=·Impl::getBase(·gt·);
 83 ·63·const·unsigned·int·numBaseN·=·(codim·<·dim·?·Geo::Impl::size
 84 (·baseGeometryType.id(),·baseGeometryType.dim(),·codim·)·:·0);
 85 ·64·const·unsigned·int·numBaseM·=·(codim·>·0·?·Geo::Impl::size
 86 (·baseGeometryType.id(),·baseGeometryType.dim(),·codim-1·)·:·0);
 87 ·65
 88 ·66·if(·gt.isPrismatic()·)
 89 ·67·{
 90 ·68·unsigned·int·size·=·0;
 91 ·69·if(·codim·<·dim·)
65 ·7092 ·70·{
66 ·71·out[0][0]·=·sign_[0]*in[0]; 
67 ·72·out[0][1]·=·sign_[0]*(in[1]·-·1.0); 
68 ·73·out[1][0]·=·sign_[1]*(in[0]·-·1.0); 
69 ·74·out[1][1]·=·sign_[1]*in[1]; 
70 ·75·out[2][0]·=·sign_[2]*in[0]; 
71 ·76·out[2][1]·=·sign_[2]*in[1]; 
72 ·77·out[3][0]·=·3.0*in[0]; 
73 ·78·out[3][1]·=·3.0·-·6.0*in[0]·-·3.0*in[1]; 
74 ·79·out[4][0]·=·-3.0·+·3.0*in[0]·+·6.0*in[1]; 
75 ·80·out[4][1]·=·-3.0*in[1]; 
76 ·81·out[5][0]·=·-3.0*in[0]; 
77 ·82·out[5][1]·=·3.0*in[1];93 ·71·for(·unsigned·int·i·=·1;·i·<·order;·++i·)
 94 ·72·{
 95 ·73·const·unsigned·int·n·=·equidistantLagrangePoints(·baseGeometryType,·codim,
 96 order,·count,·points·);
 97 ·74·for(·unsigned·int·j·=·0;·j·<·n;·++j·)
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13 ····*·brezzidouglasmarini1simplex2d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
 14 p0.hh·File·Reference
15 brezzidouglasmarini1simplex2dlocalinterpolation.hh·File·Reference 
16 #include·<vector> 
17 #include·<dune/geometry/quadraturerules.hh>15 #include·<dune/geometry/type.hh>
18 #include·<dune/localfunctions/common/localinterpolation.hh>16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 17 #include·"p0/p0localbasis.hh"
 18 #include·"p0/p0localcoefficients.hh"
 19 #include·"p0/p0localinterpolation.hh"
19 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
20 ·Classes21 ·Classes
 22 class· Dune::P0LocalFiniteElement<_D,_R,_d_>
 23  ······The·local·p0·finite·element·on·all·types·of·reference·elements.·More...
21 class· Dune::BDM1Simplex2DLocalInterpolation<_LB_> 
22  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference 
23 ········triangle.·More... 
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·brezzidouglasmarini1simplex2dlocalinterpolation.hh·Source·File</title>8 <title>dune-localfunctions:·p0.hh·Source·File</title>
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 p0.hh
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1simplex2d 
14 brezzidouglasmarini1simplex2dlocalinterpolation.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·DUNE_P0LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_P0LOCALFINITEELEMENT_HH
21 ·5#ifndef 
22 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALINTERPOLATION_HH 
23 ·6#define 
24 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALINTERPOLATION_HH 
25 ·722 ·7
26 ·8#include·<vector>23 ·8#include·<dune/geometry/type.hh>
27 ·924 ·9
28 ·10#include·<dune/geometry/quadraturerules.hh> 
29 ·11#include·<dune/localfunctions/common/localinterpolation.hh>25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
30 ·1226 ·11#include·"p0/p0localbasis.hh"
 27 ·12#include·"p0/p0localcoefficients.hh"
 28 ·13#include·"p0/p0localinterpolation.hh"
 29 ·14
31 ·13namespace·Dune30 ·15namespace·Dune
32 ·14{31 ·16{
33 ·23·template<class·LB> 
34 24·class·BDM1Simplex2DLocalInterpolation32 ·17
 33 ·23·template<class·D,·class·R,·int·d>
 34 24·class·P0LocalFiniteElement
35 ·25·{35 ·25·{
36 ·26 
37 ·27·public:36 ·26·public:
38 29·BDM1Simplex2DLocalInterpolation·() 
39 ·30·{ 
40 ·31·sign0·=·sign1·=·sign2·=·1.0; 
41 ·32·} 
42 ·33 
43 39·BDM1Simplex2DLocalInterpolation·(unsigned·int·s)37 ·29·typedef·LocalFiniteElementTraits<P0LocalBasis<D,R,d>,·P0LocalCoefficients,
 38 30·P0LocalInterpolation<P0LocalBasis<D,R,d>·>·>·Traits;
 39 ·31
 40 34·P0LocalFiniteElement·(const·GeometryType&·type)
 41 ·35·:·interpolation(type),·gt(type)
 42 ·36·{}
 43 ·37
 44 40·const·typename·Traits::LocalBasisType&·localBasis·()·const
44 ·40·{45 ·41·{
 46 ·42·return·basis;
45 ·41·using·std::sqrt; 
46 ·42·sign0·=·sign1·=·sign2·=·1.0; 
47 ·43·if·(s·&·1) 
48 ·44·{ 
49 ·45·sign0·=·-1.0; 
50 ·46·}47 ·43·}
51 ·47·if·(s·&·2)48 ·44
 49 47·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
52 ·48·{50 ·48·{
53 ·49·sign1·=·-1.0;51 ·49·return·coefficients;
54 ·50·}52 ·50·}
55 ·51·if·(s·&·4)53 ·51
 54 54·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
56 ·52·{55 ·55·{
57 ·53·sign2·=·-1.0;56 ·56·return·interpolation;
58 ·54·}57 ·57·}
 58 ·58
 59 60·unsigned·int·size·()·const
 60 ·61·{
 61 ·62·return·1;
59 ·55 
60 ·56·n0[0]·=·0.0; 
61 ·57·n0[1]·=·-1.0; 
62 ·58·n1[0]·=·-1.0; 
63 ·59·n1[1]·=·0.0; 
64 ·60·n2[0]·=·1.0/sqrt(2.0); 
65 ·61·n2[1]·=·1.0/sqrt(2.0); 
66 ·62·c0·=·0.5*n0[0]·-·1.0*n0[1]; 
67 ·63·c1·=·-1.0*n1[0]·+·0.5*n1[1]; 
68 ·64·c2·=·0.5*n2[0]·+·0.5*n2[1]; 
69 ·65·}62 ·63·}
70 ·66 
71 ·75·template<typename·F,·typename·C> 
72 76·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
73 ·77·{ 
74 ·78·//·f·gives·v*outer·normal·at·a·point·on·the·edge! 
75 ·79·typedef·typename·LB::Traits::RangeFieldType·Scalar;63 ·64
 64 67·GeometryType·type·()·const
 65 ·68·{
 66 ·69·return·gt;
 67 ·70·}
 68 ·71
 69 ·72·private:
 70 ·73·P0LocalBasis<D,R,d>·basis;
 71 ·74·P0LocalCoefficients·coefficients;
 72 ·75·P0LocalInterpolation<P0LocalBasis<D,R,d>·>·interpolation;
 73 ·76·GeometryType·gt;
 74 ·77·};
 75 ·78
 76 ·79}
76 ·8077 ·80
77 ·81·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
78 DomainType>(ff); 
79 ·82 
80 ·83·out.resize(6); 
81 ·84·fill(out.begin(),·out.end(),·0.0); 
82 ·85 
83 ·86·const·int·qOrder·=·4; 
84 ·87·const·Dune::QuadratureRule<Scalar,1>&·rule·=·Dune:: 
85 QuadratureRules<Scalar,1>::rule(Dune::GeometryTypes::simplex(1),·qOrder); 
86 ·88 
87 ·89·for·(typename·Dune::QuadratureRule<Scalar,1>::const_iterator·it=rule.begin 
88 ();·it!=rule.end();·++it) 
89 ·90·{ 
90 ·91·Scalar·qPos·=·it->position(); 
91 ·92·typename·LB::Traits::DomainType·localPos; 
92 ·93 
93 ·94·localPos[0]·=·qPos; 
94 ·95·localPos[1]·=·0.0; 
95 ·96·auto·y·=·f(localPos); 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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 12 ····*·lagrange
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1simplex2d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 brezzidouglasmarini1simplex2dlocalcoefficients.hh·File·Reference 
16 #include·<cstddef> 
17 #include·<vector> 
18 #include·"../../common/localkey.hh"14 q2.hh·File·Reference
 15 #include·<dune/common/typetraits.hh>
 16 #include·<dune/geometry/type.hh>
 17 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 18 #include·<dune/localfunctions/common/localtoglobaladaptors.hh>
 19 #include·<dune/localfunctions/lagrange/lagrangecube.hh>
 20 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
19 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
20 ·Classes22 ·Classes
21 class· Dune::BDM1Simplex2DLocalCoefficients 
22  ······Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·triangles.·More...23 class· Dune::Q2FiniteElementFactory<_Geometry,_RF_>
 24  ······Factory·for·global-valued·Q23D·elements.·More...
23  25  
24 ·Namespaces26 ·Namespaces
25 namespace· Dune27 namespace· Dune
26  28  
  
27 ===============================================================================29 ===============================================================================
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8 <title>dune-localfunctions:·brezzidouglasmarini1simplex2dlocalcoefficients.hh·Source·File</title>8 <title>dune-localfunctions:·q2.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 q2.hh
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1simplex2d 
14 brezzidouglasmarini1simplex2dlocalcoefficients.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·DUNE_Q2_LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_Q2_LOCALFINITEELEMENT_HH
21 ·5#ifndef 
22 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALCOEFFICIENTS_HH 
23 ·6#define 
24 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALCOEFFICIENTS_HH 
25 ·722 ·7
26 ·8#include·<cstddef> 
27 ·9#include·<vector>23 ·8#include·<dune/common/typetraits.hh>
 24 ·9#include·<dune/geometry/type.hh>
28 ·1025 ·10
29 ·11#include·"../../common/localkey.hh" 
30 ·1226 ·11#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 27 ·12#include·<dune/localfunctions/common/localtoglobaladaptors.hh>
 28 ·13
 29 ·14#include·<dune/localfunctions/lagrange/lagrangecube.hh>
 30 ·15#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 31 ·16
31 ·13namespace·Dune32 ·17namespace·Dune
32 ·14{33 ·18{
33 ·15 
34 23·class·BDM1Simplex2DLocalCoefficients34 ·20
 35 ·25·template<class·Geometry,·class·RF>
 36 26·class·Q2FiniteElementFactory·:
 37 ·27·public·ScalarLocalToGlobalFiniteElementAdaptorFactory<
 38 ·28·typename·std::conditional<Geometry::mydimension·==·1,
 39 ·29·LagrangeSimplexLocalFiniteElement<typename·Geometry::ctype,·RF,·1,·2>,
 40 ·30·LagrangeCubeLocalFiniteElement<typename·Geometry::ctype,·RF,·Geometry::
 41 mydimension,·2>·>::type,
 42 ·31·Geometry>
35 ·24·{43 ·32·{
36 ·2544 ·33·typedef·typename·std::conditional<Geometry::mydimension·==·1,
 45 ·34·LagrangeSimplexLocalFiniteElement<typename_Geometry::ctype,_RF,_1,_2>,
 46 ·35·LagrangeCubeLocalFiniteElement<typename_Geometry::ctype,_RF,_Geometry::
 47 mydimension,_2>·>::type·LFE;
 48 ·36·typedef·ScalarLocalToGlobalFiniteElementAdaptorFactory<LFE,_Geometry>·Base;
 49 ·37
 50 ·38·static·const·LFE·lfe;
 51 ·39
37 ·26·public:52 ·40·public:
 53 42·Q2FiniteElementFactory()·:·Base(lfe)·{}
 54 ·43·};
 55 ·44
 56 ·45·template<class·Geometry,·class·RF>
 57 ·46·const·typename·Q2FiniteElementFactory<Geometry,·RF>::LFE
 58 ·47·Q2FiniteElementFactory<Geometry,·RF>::lfe;
38 28·BDM1Simplex2DLocalCoefficients·()·:·li(6) 
39 ·29·{ 
40 ·30·for·(std::size_t·i=0;·i<3;·i++) 
41 ·31·{ 
42 ·32·li[i]·=·LocalKey(i,1,0); 
43 ·33·li[3·+·i]·=·LocalKey(i,1,1); 
44 ·34·} 
45 ·35·} 
46 ·36 
47 38·std::size_t·size·()·const 
48 ·39·{ 
49 ·40·return·6; 
50 ·41·} 
51 ·42 
52 44·const·LocalKey&·localKey·(std::size_t·i)·const 
53 ·45·{ 
54 ·46·return·li[i]; 
55 ·47·} 
56 ·4859 ·48}
 60 ·49
57 ·49·private: 
58 ·50·std::vector<LocalKey>·li; 
59 ·51·}; 
60 ·52} 
61 ·53#endif·/61 ·50#endif
62 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALCOEFFICIENTS_HH62 localtoglobaladaptors.hh
 63 localfiniteelementtraits.hh
 64 lagrangesimplex.hh
 65 lagrangecube.hh
63 Dune66 Dune
64 Definition·bdfmcube.hh:1867 Definition·bdfmcube.hh:18
65 Dune::BDM1Simplex2DLocalCoefficients 
66 Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·triangles. 
67 Definition·brezzidouglasmarini1simplex2dlocalcoefficients.hh:24 
68 Dune::BDM1Simplex2DLocalCoefficients::BDM1Simplex2DLocalCoefficients 
69 BDM1Simplex2DLocalCoefficients() 
70 Standard·constructor. 
71 Definition·brezzidouglasmarini1simplex2dlocalcoefficients.hh:28 
72 Dune::BDM1Simplex2DLocalCoefficients::localKey 
73 const·LocalKey·&·localKey(std::size_t·i)·const 
74 get·i'th·index 
75 Definition·brezzidouglasmarini1simplex2dlocalcoefficients.hh:44 
76 Dune::BDM1Simplex2DLocalCoefficients::size 
77 std::size_t·size()·const 
78 number·of·coefficients 
79 Definition·brezzidouglasmarini1simplex2dlocalcoefficients.hh:38 
80 Dune::LocalKey 
81 Describe·position·of·one·degree·of·freedom. 
82 Definition·localkey.hh:2368 Dune::ScalarLocalToGlobalFiniteElementAdaptorFactory
 69 Factory·for·ScalarLocalToGlobalFiniteElementAdaptor·objects.
 70 Definition·localtoglobaladaptors.hh:244
 71 Dune::LagrangeCubeLocalFiniteElement
 72 Lagrange·finite·element·for·cubes·with·arbitrary·compile-time·dimension·and
 73 polynomial·order.
 74 Definition·lagrangecube.hh:711
 75 Dune::LagrangeSimplexLocalFiniteElement
 76 Lagrange·finite·element·for·simplices·with·arbitrary·compile-time·dimension·and
 77 polynomial·order.
 78 Definition·lagrangesimplex.hh:838
 79 Dune::Q2FiniteElementFactory
 80 Factory·for·global-valued·Q23D·elements.
 81 Definition·q2.hh:32
 82 Dune::Q2FiniteElementFactory::Q2FiniteElementFactory
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 13 ····*·p0
14 Classes·|·Namespaces14 Classes·|·Namespaces
 15 p0localinterpolation.hh·File·Reference
15 brezzidouglasmarini2cube2dlocalcoefficients.hh·File·Reference 
16 #include·<cstddef> 
17 #include·<vector>16 #include·<vector>
18 #include·"../../common/localkey.hh"17 #include·<dune/geometry/referenceelements.hh>
 18 #include·<dune/localfunctions/common/localinterpolation.hh>
19 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
20 ·Classes20 ·Classes
 21 class· Dune::P0LocalInterpolation<_LB_>
21 class· Dune::BDM2Cube2DLocalCoefficients 
22  ······Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·quadrilaterals. 
23 ········More... 
24  22  
25 ·Namespaces23 ·Namespaces
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13 ····*·brezzidouglasmarini2cube2d 
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 13 ····*·p0
 14 p0localinterpolation.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH21 ·5#ifndef·DUNE_P0LOCALINTERPOLATION_HH
 22 ·6#define·DUNE_P0LOCALINTERPOLATION_HH
23 ·723 ·7
24 ·8#include·<cstddef> 
25 ·9#include·<vector>24 ·8#include·<vector>
26 ·10 
27 ·11#include·"../../common/localkey.hh"25 ·9#include·<dune/geometry/referenceelements.hh>
 26 ·10#include·<dune/localfunctions/common/localinterpolation.hh>
 27 ·11
28 ·1228 ·12
29 ·13namespace·Dune29 ·13namespace·Dune
30 ·14{30 ·14{
31 ·1531 ·15
32 23·class·BDM2Cube2DLocalCoefficients 
33 ·24·{ 
34 ·2532 ·16·template<class·LB>
 33 17·class·P0LocalInterpolation
 34 ·18·{
35 ·26·public:35 ·19·public:
36 28·BDM2Cube2DLocalCoefficients()·:·li(14)36 20·P0LocalInterpolation·(const·GeometryType&·gt)·:·gt_(gt)
 37 ·21·{}
 38 ·22
 39 ·24·template<typename·F,·typename·C>
 40 25·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
37 ·29·{41 ·26·{
38 ·30·for·(std::size_t·i·=·0;·i·<·4;·++i) 
39 ·31·{ 
40 ·32·li[3·*·i]·=·LocalKey(i,1,0); 
41 ·33·li[3·*·i·+·1]·=·LocalKey(i,1,1); 
42 ·34·li[3·*·i·+·2]·=·LocalKey(i,1,2);42 ·27·typedef·typename·LB::Traits::DomainType·DomainType;
 43 ·28·typedef·typename·LB::Traits::DomainFieldType·DF;
 44 ·29·const·int·dim=LB::Traits::dimDomain;
 45 ·30
 46 ·31·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 47 DomainType>(ff);
 48 ·32
 49 ·33·DomainType·x·=·Dune::ReferenceElements<DF,dim>::general(gt_).position(0,0);
 50 ·34
 51 ·35·out.resize(1);
 52 ·36·out[0]·=·f(x);
43 ·35·}53 ·37·}
44 ·36·li[12]·=·LocalKey(0,0,0); 
45 ·37·li[13]·=·LocalKey(0,0,1); 
46 ·38·}54 ·38
47 ·39 
48 41·std::size_t·size()·const 
49 ·42·{ 
50 ·43·return·14; 
51 ·44·} 
52 ·45 
53 47·const·LocalKey&·localKey(std::size_t·i)·const 
54 ·48·{ 
55 ·49·return·li[i]; 
56 ·50·} 
57 ·51 
58 ·52·private:55 ·39·private:
59 ·53·std::vector<LocalKey>·li;56 ·40·GeometryType·gt_;
60 ·54·};57 ·41·};
61 ·55}·//·end·namespace·Dune58 ·42
 59 ·43}
 60 ·44
62 ·56#endif·/61 ·45#endif
63 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH 
64 Dune62 Dune
65 Definition·bdfmcube.hh:1863 Definition·bdfmcube.hh:18
 64 Dune::P0LocalInterpolation
 65 Definition·p0localinterpolation.hh:18
 66 Dune::P0LocalInterpolation::P0LocalInterpolation
 67 P0LocalInterpolation(const·GeometryType·&gt)
 68 Definition·p0localinterpolation.hh:20
 69 Dune::P0LocalInterpolation::interpolate
 70 void·interpolate(const·F·&ff,·std::vector<·C·>·&out)·const
 71 determine·coefficients·interpolating·a·given·function
 72 Definition·p0localinterpolation.hh:25
 73 localinterpolation.hh
66 Dune::BDM2Cube2DLocalCoefficients 
67 Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·quadrilaterals. 
68 Definition·brezzidouglasmarini2cube2dlocalcoefficients.hh:24 
69 Dune::BDM2Cube2DLocalCoefficients::BDM2Cube2DLocalCoefficients 
70 BDM2Cube2DLocalCoefficients() 
71 Standard·constructor. 
72 Definition·brezzidouglasmarini2cube2dlocalcoefficients.hh:28 
73 Dune::BDM2Cube2DLocalCoefficients::localKey 
74 const·LocalKey·&·localKey(std::size_t·i)·const 
75 get·i'th·index 
76 Definition·brezzidouglasmarini2cube2dlocalcoefficients.hh:47 
77 Dune::BDM2Cube2DLocalCoefficients::size 
78 std::size_t·size()·const 
79 number·of·coefficients 
80 Definition·brezzidouglasmarini2cube2dlocalcoefficients.hh:41 
81 Dune::LocalKey 
82 Describe·position·of·one·degree·of·freedom. 
83 Definition·localkey.hh:23 
  
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14 Classes·|·Namespaces14 Classes·|·Namespaces
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17 #include·<bitset> 
18 #include·<numeric>16 #include·<numeric>
19 #include·<vector> 
20 #include·<dune/common/fmatrix.hh>17 #include·<dune/common/fmatrix.hh>
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24 class· Dune::BDM2Cube2DLocalBasis<_D,_R_>21 class· Dune::P0LocalBasis<_D,_R,_d_>
 22  ······Constant·shape·function.·More...
25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals. 
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 14 p0localbasis.hh
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17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
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21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALBASIS_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALBASIS_HH21 ·5#ifndef·DUNE_P0LOCALBASIS_HH
 22 ·6#define·DUNE_P0LOCALBASIS_HH
23 ·723 ·7
24 ·8#include·<array> 
25 ·9#include·<bitset> 
26 ·10#include·<numeric>24 ·8#include·<numeric>
 25 ·9
27 ·11#include·<vector> 
28 ·12 
29 ·13#include·<dune/common/fmatrix.hh>26 ·10#include·<dune/common/fmatrix.hh>
30 ·14 
31 ·15#include·"../../common/localbasis.hh" 
32 ·1627 ·11
 28 ·12#include·<dune/localfunctions/common/localbasis.hh>
 29 ·13
33 ·17namespace·Dune30 ·14namespace·Dune
34 ·18{31 ·15{
35 ·28·template<class·D,·class·R>32 ·28·template<class·D,·class·R,·int·d>
36 29·class·BDM2Cube2DLocalBasis33 29·class·P0LocalBasis
37 ·30·{34 ·30·{
38 ·31 
39 ·32·public:35 ·31·public:
40 ·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,36 ·33·typedef·LocalBasisTraits<D,d,Dune::FieldVector<D,d>,R,1,Dune::
41 ·34·R,2,Dune::FieldVector<R,2>,37 FieldVector<R,1>,
42 35·Dune::FieldMatrix<R,2,2>·>·Traits;38 34·Dune::FieldMatrix<R,1,d>·>·Traits;
 39 ·35
43 ·36 
44 38·BDM2Cube2DLocalBasis() 
45 ·39·{ 
46 ·40·for·(size_t·i=0;·i<4;·i++) 
47 ·41·sign_[i]·=·1.0; 
48 ·42·} 
49 ·43 
50 49·BDM2Cube2DLocalBasis(std::bitset<4>·s) 
51 ·50·{ 
52 ·51·for·(size_t·i=0;·i<4;·i++) 
53 ·52·sign_[i]·=·s[i]·?·-1.0·:·1.0; 
54 ·53·} 
55 ·54 
56 56·unsigned·int·size()·const40 37·unsigned·int·size·()·const
57 ·57·{41 ·38·{
58 ·58·return·14;42 ·39·return·1;
59 ·59·} 
60 ·6043 ·40·}
 44 ·41
61 67·inline·void·evaluateFunction(const·typename·Traits::DomainType&·in,45 43·inline·void·evaluateFunction·(const·typename·Traits::DomainType&,
 46 ·44·std::vector<typename·Traits::RangeType>&·out)·const
 47 ·45·{
 48 ·46·out.resize(1);
 49 ·47·out[0]·=·1;
 50 ·48·}
 51 ·49
 52 ·51·inline·void
 53 52·evaluateJacobian·(const·typename·Traits::DomainType&,·//·position
 54 ·53·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
 55 ·54·{
 56 ·55·out.resize(1);
 57 ·56·for·(int·i=0;·i<d;·i++)
 58 ·57·out[0][0][i]·=·0;
 59 ·58·}
 60 ·59
 61 65·void·partial(const·std::array<unsigned·int,d>&·order,
 62 ·66·const·typename·Traits::DomainType&·in,
62 ·68·std::vector<typename·Traits::RangeType>&·out)·const63 ·67·std::vector<typename·Traits::RangeType>&·out)·const
63 ·69·{64 ·68·{
64 ·70·out.resize(size()); 
65 ·71 
66 ·72·out[0][0]·=·sign_[0]*(-2.25·+·5.25*in[0]·+·7.5*in[1]·-·7.5*in[0]*in[1]·- 
67 3.0*in[0]*in[0]·-·7.5*in[1]*in[1]·+·7.5*in[0]*in[1]*in[1]); 
68 ·73·out[0][1]·=·sign_[0]*(-1.25*in[1]·+·3.75*in[1]*in[1]·-·2.5*in[1]*in[1]*in 
69 [1]); 
70 ·74·out[1][0]·=·3.0·-·3.0*in[0]-6.0*in[1]·+·6.0*in[0]*in[1]; 
71 ·75·out[1][1]·=·0.0; 
72 ·76·out[2][0]·=·sign_[0]*(-3.75·+·3.75*in[0]·+·22.5*in[1]·-·22.5*in[0]*in[1]·- 
73 22.5*in[1]*in[1]·+·22.5*in[0]*in[1]*in[1]); 
74 ·77·out[2][1]·=·sign_[0]*(-3.75*in[1]·+·11.25*in[1]*in[1]·-·7.5*in[1]*in[1]*in 
75 [1]); 
76 ·78·out[3][0]·=·sign_[1]*(-0.75*in[0]·-·7.5*in[0]*in[1]·+·3.0*in[0]*in[0]·+ 
77 7.5*in[0]*in[1]*in[1]); 
78 ·79·out[3][1]·=·sign_[1]*(-1.25*in[1]·+·3.75*in[1]*in[1]·-·2.5*in[1]*in[1]*in 
79 [1]); 
80 ·80·out[4][0]·=·3.0*in[0]·-·6.0*in[0]*in[1]; 
81 ·81·out[4][1]·=·0.0; 
82 ·82·out[5][0]·=·sign_[1]*(+3.75*in[0]·-·22.5*in[0]*in[1]·+·22.5*in[0]*in[1]*in 
83 [1]); 
84 ·83·out[5][1]·=·sign_[1]*(-3.75*in[1]·+·11.25*in[1]*in[1]·-·7.5*in[1]*in[1]*in 
85 [1]); 
86 ·84·out[6][0]·=·sign_[2]*(-1.25*in[0]·+·3.75*in[0]*in[0]·-·2.5*in[0]*in[0]*in 
87 [0]); 
88 ·85·out[6][1]·=·sign_[2]*(-2.25·+·7.5*in[0]·+·5.25*in[1]·-·7.5*in[0]*in[1]·- 
89 7.5*in[0]*in[0]·-·3.0*in[1]*in[1]·+·7.5*in[0]*in[0]*in[1]); 
90 ·86·out[7][0]·=·0.0; 
91 ·87·out[7][1]·=·-3.0·+·6.0*in[0]·+·3.0*in[1]·-·6.0*in[0]*in[1]; 
92 ·88·out[8][0]·=·sign_[2]*(-3.75*in[0]·+·11.25*in[0]*in[0]·-·7.5*in[0]*in[0]*in 
93 [0]); 
94 ·89·out[8][1]·=·sign_[2]*(-3.75·+·22.5*in[0]·+·3.75*in[1]·-·22.5*in[0]*in[1]·- 
95 22.5*in[0]*in[0]·+·22.5*in[0]*in[0]*in[1]); 
96 ·90·out[9][0]·=·sign_[3]*(-1.25*in[0]·+·3.75*in[0]*in[0]·-·2.5*in[0]*in[0]*in 
97 [0]); 
98 ·91·out[9][1]·=·sign_[3]*(-0.75*in[1]·-·7.5*in[0]*in[1]·+·3.0*in[1]*in[1]·+ 
99 7.5*in[0]*in[0]*in[1]); 
100 ·92·out[10][0]·=·0.0; 
101 ·93·out[10][1]·=·-3.0*in[1]·+·6.0*in[0]*in[1]; 
102 ·94·out[11][0]·=·sign_[3]*(-3.75*in[0]·+·11.25*in[0]*in[0]·-·7.5*in[0]*in[0]*in 
103 [0]); 
104 ·95·out[11][1]·=·sign_[3]*(3.75*in[1]·-·22.5*in[0]*in[1]·+·22.5*in[0]*in[0]*in 
105 [1]); 
106 ·96·out[12][0]·=·6.0*in[0]·-·6.0*in[0]*in[0]; 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini2cube2d12 ····*·lagrange
 13 ····*·p0
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 brezzidouglasmarini2cube2dlocalinterpolation.hh·File·Reference15 p0localcoefficients.hh·File·Reference
 16 #include·<cstddef>
 17 #include·<iostream>
16 #include·<vector>18 #include·<vector>
17 #include·<dune/geometry/quadraturerules.hh> 
18 #include·<dune/localfunctions/common/localinterpolation.hh>19 #include·<dune/localfunctions/common/localkey.hh>
19 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
20 ·Classes21 ·Classes
 22 class· Dune::P0LocalCoefficients
 23  ······Layout·map·for·P0·elements.·More...
21 class· Dune::BDM2Cube2DLocalInterpolation<_LB_> 
22  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals. 
23 ········More... 
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini2cube2d 
14 brezzidouglasmarini2cube2dlocalinterpolation.hh12 ····*·lagrange
 13 ····*·p0
 14 p0localcoefficients.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH21 ·5#ifndef·DUNE_P0LOCALCOEFFICIENTS_HH
 22 ·6#define·DUNE_P0LOCALCOEFFICIENTS_HH
23 ·723 ·7
 24 ·8#include·<cstddef>
 25 ·9#include·<iostream>
24 ·8#include·<vector>26 ·10#include·<vector>
 27 ·11
25 ·9 
26 ·10#include·<dune/geometry/quadraturerules.hh> 
27 ·11#include·<dune/localfunctions/common/localinterpolation.hh>28 ·12#include·<dune/localfunctions/common/localkey.hh>
28 ·1229 ·13
29 ·13namespace·Dune30 ·14namespace·Dune
30 ·14{ 
31 ·1531 ·15{
32 ·24·template<class·LB> 
33 25·class·BDM2Cube2DLocalInterpolation32 ·16
 33 23·class·P0LocalCoefficients
34 ·26·{34 ·24·{
35 ·27 
36 ·28·public:35 ·25·public:
 36 27·P0LocalCoefficients·()·:·index(0,0,0)
 37 ·28·{}
 38 ·29
 39 31·std::size_t·size·()·const
37 30·BDM2Cube2DLocalInterpolation() 
38 ·31·{ 
39 ·32·sign0·=·sign1·=·sign2·=·sign3·=·1.0; 
40 ·33·} 
41 ·34 
42 40·BDM2Cube2DLocalInterpolation(unsigned·int·s) 
43 ·41·{ 
44 ·42·sign0·=·sign1·=·sign2·=·sign3·=·1.0; 
45 ·43·if·(s·&·1) 
46 ·44·{ 
47 ·45·sign0·=·-1.0; 
48 ·46·} 
49 ·47·if·(s·&·2) 
50 ·48·{ 
51 ·49·sign1·=·-1.0; 
52 ·50·} 
53 ·51·if·(s·&·4) 
54 ·52·{ 
55 ·53·sign2·=·-1.0; 
56 ·54·} 
57 ·55·if·(s·&·8) 
58 ·56·{ 
59 ·57·sign3·=·-1.0; 
60 ·58·} 
61 ·59 
62 ·60·n0[0]·=·-1.0; 
63 ·61·n0[1]·=·0.0; 
64 ·62·n1[0]·=·1.0; 
65 ·63·n1[1]·=·0.0; 
66 ·64·n2[0]·=·0.0; 
67 ·65·n2[1]·=·-1.0; 
68 ·66·n3[0]·=·0.0; 
69 ·67·n3[1]·=·1.0; 
70 ·68·} 
71 ·69 
72 ·78·template<typename·F,·typename·C> 
73 79·void·interpolate(const·F&·ff,·std::vector<C>&·out)·const 
74 ·80·{ 
75 ·81·//·f·gives·v*outer·normal·at·a·point·on·the·edge! 
76 ·82·typedef·typename·LB::Traits::RangeFieldType·Scalar; 
77 ·83·typedef·typename·LB::Traits::DomainFieldType·Vector; 
78 ·84 
79 ·85·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
80 DomainType>(ff); 
81 ·86 
82 ·87·out.resize(14); 
83 ·88·fill(out.begin(),·out.end(),·0.0); 
84 ·89 
85 ·90·const·int·qOrder·=·4; 
86 ·91·const·QuadratureRule<Scalar,1>&·rule·=·QuadratureRules<Scalar,1>::rule 
87 (GeometryTypes::cube(1),·qOrder); 
88 ·92 
89 ·93·for·(typename·QuadratureRule<Scalar,1>::const_iterator·it·=·rule.begin(); 
90 ·94·it·!=·rule.end();·++it) 
91 ·95·{ 
92 ·96·Scalar·qPos·=·it->position(); 
93 ·97 
94 ·98·typename·LB::Traits::DomainType·localPos; 
95 ·99 
96 ·100·localPos[0]·=·0.0; 
97 ·101·localPos[1]·=·qPos; 
98 ·102·auto·y·=·f(localPos); 
99 ·103·out[0]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*it->weight()*sign0; 
100 ·104·out[1]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*(2.0*qPos·-·1.0)*it->weight(); 
101 ·105·out[2]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*(8.0*qPos*qPos·-·8.0*qPos·+·1.0)*it- 
102 >weight()*sign0; 
103 ·106 
104 ·107·localPos[0]·=·1.0; 
105 ·108·localPos[1]·=·qPos; 
106 ·109·y·=·f(localPos); 
107 ·110·out[3]·+=·(y[0]*n1[0]+y[1]*n1[1])*it->weight()*sign1; 
108 ·111·out[4]·+=·(y[0]*n1[0]+y[1]*n1[1])*(1.0·-·2.0*qPos)*it->weight(); 
109 ·112·out[5]·+=·(y[0]*n1[0]+y[1]*n1[1])*(8.0*qPos*qPos·-·8.0*qPos·+·1.0)*it- 
110 >weight()*sign1; 
111 ·113 
112 ·114·localPos[0]·=·qPos; 
113 ·115·localPos[1]·=·0.0; 
114 ·116·y·=·f(localPos); 
115 ·117·out[6]·+=·(y[0]*n2[0]·+·y[1]*n2[1])*it->weight()*sign2; 
116 ·118·out[7]·+=·(y[0]*n2[0]·+·y[1]*n2[1])*(1.0·-·2.0*qPos)*it->weight(); 
117 ·119·out[8]·+=·(y[0]*n2[0]·+·y[1]*n2[1])*(8.0*qPos*qPos·-·8.0*qPos·+·1.0)*it- 
118 >weight()*sign2; 
119 ·120 
120 ·121·localPos[0]·=·qPos; 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·brezzidouglasmarini 
13 Classes·|·Namespaces 
14 brezzidouglasmarini1cube3d.hh·File·Reference12 ····*·lagrange
 13 Namespaces·|·Typedefs
 14 lagrangelfecache.hh·File·Reference
 15 #include·<tuple>
 16 #include·<utility>
15 #include·<dune/geometry/type.hh>17 #include·<dune/geometry/type.hh>
16 #include·"../common/localfiniteelementtraits.hh" 
17 #include·"brezzidouglasmarini1cube3d/brezzidouglasmarini1cube3dlocalbasis.hh" 
18 #include·"brezzidouglasmarini1cube3d/ 
19 brezzidouglasmarini1cube3dlocalcoefficients.hh" 
20 #include·"brezzidouglasmarini1cube3d/ 
21 brezzidouglasmarini1cube3dlocalinterpolation.hh"18 #include·<dune/geometry/typeindex.hh>
 19 #include·<dune/localfunctions/lagrange/lagrangecube.hh>
 20 #include·<dune/localfunctions/lagrange/lagrangeprism.hh>
 21 #include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
 22 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 23 #include·<dune/localfunctions/lagrange/p0.hh>
 24 #include·<dune/localfunctions/common/localfiniteelementvariantcache.hh>
22 Go_to_the_source_code_of_this_file.25 Go_to_the_source_code_of_this_file.
23 ·Classes 
24 class· Dune::BDM1Cube3DLocalFiniteElement<_D,_R_> 
25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·hexahedron. 
26 ········More... 
27   
28 ·Namespaces26 ·Namespaces
29 namespace· Dune27 namespace· Dune
30  28  
 29 ·Typedefs
 30 template<class·D·,·class·R·,·std::size_t·dim,·std::size_t·order>
 31 using Dune::LagrangeLocalFiniteElementCache·=·LocalFiniteElementVariantCache<
 32 ·······Impl::ImplementedLagrangeFiniteElements<·D,·R,·dim,·order·>·>
 33  ·····A·cache·that·stores·all·available·Pk/Qk·like·local·finite·elements·for
 34 ·······the·given·dimension·and·order.
 35  
  
31 ===============================================================================36 ===============================================================================
32 ·····Generated·by [doxygen]·1.9.837 ·····Generated·by [doxygen]·1.9.8
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4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>4 <meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>
5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>5 <meta·http-equiv="X-UA-Compatible"·content="IE=11"/>
6 <meta·name="generator"·content="Doxygen·1.9.8"/>6 <meta·name="generator"·content="Doxygen·1.9.8"/>
7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>7 <meta·name="viewport"·content="width=device-width,·initial-scale=1"/>
8 <title>dune-localfunctions:·brezzidouglasmarini1cube3d.hh·Source·File</title>8 <title>dune-localfunctions:·lagrangelfecache.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
11 <script·type="text/javascript"·src="dynsections.js"></script>11 <script·type="text/javascript"·src="dynsections.js"></script>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·brezzidouglasmarini 
13 brezzidouglasmarini1cube3d.hh12 ····*·lagrange
 13 lagrangelfecache.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE3D_LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE3D_LOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGELFECACHE_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGELFECACHE_HH
22 ·722 ·7
 23 ·8#include·<tuple>
 24 ·9#include·<utility>
 25 ·10
23 ·8#include·<dune/geometry/type.hh>26 ·11#include·<dune/geometry/type.hh>
24 ·9 
25 ·10#include·"../common/localfiniteelementtraits.hh" 
26 ·11#include·"brezzidouglasmarini1cube3d/ 
27 brezzidouglasmarini1cube3dlocalbasis.hh" 
28 ·12#include·"brezzidouglasmarini1cube3d/ 
29 brezzidouglasmarini1cube3dlocalcoefficients.hh" 
30 ·13#include·"brezzidouglasmarini1cube3d/ 
31 brezzidouglasmarini1cube3dlocalinterpolation.hh" 
32 ·1427 ·12#include·<dune/geometry/typeindex.hh>
 28 ·13
 29 ·14#include·<dune/localfunctions/lagrange/lagrangecube.hh>
 30 ·15#include·<dune/localfunctions/lagrange/lagrangeprism.hh>
 31 ·16#include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
 32 ·17#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 33 ·18#include·<dune/localfunctions/lagrange/p0.hh>
 34 ·19#include·<dune/localfunctions/common/localfiniteelementvariantcache.hh>
 35 ·20
 36 ·21
33 ·15namespace·Dune37 ·22namespace·Dune·{
34 ·16{38 ·23
 39 ·24
 40 ·25
 41 ·26namespace·Impl·{
 42 ·27
 43 ·28·//·Provide·implemented·Lagrange·local·finite·elements
 44 ·29
 45 ·30·template<class·D,·class·R,·std::size_t·dim,·std::size_t·order>
 46 ·31·struct·ImplementedLagrangeFiniteElements·:·public
 47 FixedDimLocalGeometryTypeIndex<dim>
 48 ·32·{
 49 ·33·using·FixedDimLocalGeometryTypeIndex<dim>::index;
 50 ·34·static·auto·getImplementations()
 51 ·35·{
 52 ·36·return·std::make_tuple(
 53 ·37·std::make_pair(index(GeometryTypes::simplex(dim)),·[]()·{·return
 54 LagrangeSimplexLocalFiniteElement<D,R,dim,order>();·}),
 55 ·38·std::make_pair(index(GeometryTypes::cube(dim)),·[]()·{·return
 56 LagrangeCubeLocalFiniteElement<D,R,dim,order>();·})
 57 ·39·);
 58 ·40·}
 59 ·41·};
 60 ·42
 61 ·43·template<class·D,·class·R,·std::size_t·dim>
 62 ·44·struct·ImplementedLagrangeFiniteElements<D,R,dim,0>·:·public
 63 FixedDimLocalGeometryTypeIndex<dim>
 64 ·45·{
 65 ·46·using·FixedDimLocalGeometryTypeIndex<dim>::index;
 66 ·47·static·auto·getImplementations()
 67 ·48·{
 68 ·49·return·std::make_tuple(
 69 ·50·std::make_pair(index(GeometryTypes::simplex(dim)),·[]()·{·return
 70 P0LocalFiniteElement<D,R,dim>(GeometryTypes::simplex(dim));·}),
 71 ·51·std::make_pair(index(GeometryTypes::cube(dim)),·[]()·{·return
 72 P0LocalFiniteElement<D,R,dim>(GeometryTypes::cube(dim));·}),
 73 ·52·std::make_pair(index(GeometryTypes::none(dim)),·[]()·{·return
 74 P0LocalFiniteElement<D,R,dim>(GeometryTypes::none(dim));·})
 75 ·53·);
 76 ·54·}
 77 ·55·};
 78 ·56
35 ·25·template<class·D,·class·R>79 ·57·template<class·D,·class·R>
 80 ·58·struct·ImplementedLagrangeFiniteElements<D,R,3,0>·:·public
 81 FixedDimLocalGeometryTypeIndex<3>
36 26·class·BDM1Cube3DLocalFiniteElement 
37 ·27·{ 
38 ·28 
39 ·29·public: 
40 ·30·typedef·LocalFiniteElementTraits< 
41 ·31·BDM1Cube3DLocalBasis<D,R>, 
42 ·32·BDM1Cube3DLocalCoefficients, 
43 33·BDM1Cube3DLocalInterpolation<BDM1Cube3DLocalBasis<D,R>·>·>·Traits; 
44 ·34 
45 36·BDM1Cube3DLocalFiniteElement() 
46 ·37·{} 
47 ·38 
48 44·BDM1Cube3DLocalFiniteElement(int·s) 
49 ·45·:·basis(s) 
50 ·46·,·interpolation(s) 
51 ·47·{} 
52 ·48 
53 49·const·typename·Traits::LocalBasisType&·localBasis()·const 
54 ·50·{82 ·59·{
 83 ·60·using·FixedDimLocalGeometryTypeIndex<3>::index;
 84 ·61·static·auto·getImplementations()
55 ·51·return·basis; 
56 ·52·} 
57 ·53 
58 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients()·const 
59 ·55·{ 
60 ·56·return·coefficients; 
61 ·57·} 
62 ·58 
63 59·const·typename·Traits::LocalInterpolationType&·localInterpolation()·const 
64 ·60·{85 ·62·{
65 ·61·return·interpolation;86 ·63·return·std::make_tuple(
 87 ·64·std::make_pair(index(GeometryTypes::tetrahedron),·[]()·{·return
 88 P0LocalFiniteElement<D,R,3>(GeometryTypes::tetrahedron);·}),
 89 ·65·std::make_pair(index(GeometryTypes::hexahedron),·[]()·{·return
 90 P0LocalFiniteElement<D,R,3>(GeometryTypes::hexahedron);·}),
 91 ·66·std::make_pair(index(GeometryTypes::prism),·[]()·{·return
 92 P0LocalFiniteElement<D,R,3>(GeometryTypes::prism);·}),
 93 ·67·std::make_pair(index(GeometryTypes::pyramid),·[]()·{·return
 94 P0LocalFiniteElement<D,R,3>(GeometryTypes::pyramid);·})
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8 <title>dune-localfunctions:·brezzidouglasmarini2simplex2dlocalbasis.hh·File·Reference</title>8 <title>dune-localfunctions:·pqkfactory.hh·File·Reference</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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13 <script·type="text/javascript"·src="search/searchdata.js"></script>13 <script·type="text/javascript"·src="search/searchdata.js"></script>
14 <script·type="text/javascript"·src="search/search.js"></script>14 <script·type="text/javascript"·src="search/search.js"></script>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini2simplex2d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 brezzidouglasmarini2simplex2dlocalbasis.hh·File·Reference14 pqkfactory.hh·File·Reference
16 #include·<array>15 #include·<map>
17 #include·<bitset> 
18 #include·<numeric> 
19 #include·<vector> 
20 #include·<dune/common/fmatrix.hh> 
21 #include·"../../common/localbasis.hh"16 #include·<dune/geometry/type.hh>
 17 #include·<dune/localfunctions/common/virtualinterface.hh>
 18 #include·<dune/localfunctions/common/virtualwrappers.hh>
 19 #include·<dune/localfunctions/lagrange/lagrangecube.hh>
 20 #include·<dune/localfunctions/lagrange/lagrangeprism.hh>
 21 #include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
 22 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 23 #include·<dune/localfunctions/lagrange/p0.hh>
22 Go_to_the_source_code_of_this_file.24 Go_to_the_source_code_of_this_file.
23 ·Classes25 ·Classes
24 class· Dune::BDM2Simplex2DLocalBasis<_D,_R_> 
25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.26 struct· Dune::DimSpecificPQkLocalFiniteElementFactory<_D,_R,_d,_k_>
 27  ·······Factory·that·only·creates·dimension·specific·local·finite·elements.
26 ········More...28 ·········More...
 29  
 30 struct· Dune::DimSpecificPQkLocalFiniteElementFactory<_D,_R,_3,_k_>
 31  ·······Factory·that·only·creates·dimension·specific·local·finite·elements.
 32 ·········More...
 33  
 34 struct· Dune::PQkLocalFiniteElementFactory<_D,_R,_dim,_k_>
 35  ·······Factory·to·create·any·kind·of·Pk/Qk·like·element·wrapped·for·the
 36 ·········virtual·interface.·More...
 37  
 38 ·class· Dune::PQkLocalFiniteElementCache<_D,_R,_dim,_k_>
 39  ·······A·cache·that·stores·all·available·Pk/Qk·like·local·finite·elements·for
 40 ·········the·given·dimension·and·order.·More...
27  41  
28 ·Namespaces42 ·Namespaces
29 namespace· Dune43 namespace· Dune
30  44  
  
31 ===============================================================================45 ===============================================================================
32 ·····Generated·by [doxygen]·1.9.846 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·brezzidouglasmarini2simplex2dlocalbasis.hh·Source·File</title>8 <title>dune-localfunctions:·pqkfactory.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 pqkfactory.hh
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini2simplex2d 
14 brezzidouglasmarini2simplex2dlocalbasis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALBASIS_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALBASIS_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_PQKFACTORY_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_PQKFACTORY_HH
23 ·722 ·7
24 ·8#include·<array>23 ·8#include·<map>
25 ·9#include·<bitset> 
26 ·10#include·<numeric> 
27 ·11#include·<vector> 
28 ·12 
29 ·13#include·<dune/common/fmatrix.hh>24 ·9
 25 ·10#include·<dune/geometry/type.hh>
 26 ·11
 27 ·12#include·<dune/localfunctions/common/virtualinterface.hh>
 28 ·13#include·<dune/localfunctions/common/virtualwrappers.hh>
30 ·1429 ·14
31 ·15#include·"../../common/localbasis.hh" 
32 ·1630 ·15#include·<dune/localfunctions/lagrange/lagrangecube.hh>
 31 ·16#include·<dune/localfunctions/lagrange/lagrangeprism.hh>
 32 ·17#include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
 33 ·18#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 34 ·19#include·<dune/localfunctions/lagrange/p0.hh>
 35 ·20
33 ·17namespace·Dune36 ·21namespace·Dune
34 ·18{37 ·22{
 38 ·23
35 ·28·template<class·D,·class·R>39 ·28·template<class·D,·class·R,·int·d,·int·k>
36 29·class·BDM2Simplex2DLocalBasis40 29·struct·DimSpecificPQkLocalFiniteElementFactory
37 ·30·{41 ·30·{
 42 31·typedef·typename·P0LocalFiniteElement<D,R,d>::Traits::LocalBasisType::Traits
 43 T;
 44 ·32
 45 34·static·LocalFiniteElementVirtualInterface<T>*·create(const·GeometryType&)
38 ·31 
39 ·32·public: 
40 ·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>, 
41 ·34·R,2,Dune::FieldVector<R,2>, 
42 35·Dune::FieldMatrix<R,2,2>·>·Traits; 
43 ·36 
44 38·BDM2Simplex2DLocalBasis() 
45 ·39·{46 ·35·{
 47 ·36·return·nullptr;
46 ·40·for·(size_t·i=0;·i<3;·i++) 
47 ·41·sign_[i]·=·1.0; 
48 ·42·} 
49 ·43 
50 49·BDM2Simplex2DLocalBasis(std::bitset<3>·s) 
51 ·50·{ 
52 ·51·for·(size_t·i=0;·i<3;·i++) 
53 ·52·sign_[i]·=·s[i]·?·-1.0·:·1.0; 
54 ·53·}48 ·37·}
 49 ·38·};
 50 ·39
 51 ·44·template<class·D,·class·R,·int·k>
 52 45·struct·DimSpecificPQkLocalFiniteElementFactory<D,R,3,k>
55 ·54 
56 56·unsigned·int·size()·const 
57 ·57·{ 
58 ·58·return·12; 
59 ·59·} 
60 ·60 
61 67·inline·void·evaluateFunction(const·typename·Traits::DomainType&·in, 
62 ·68·std::vector<typename·Traits::RangeType>&·out)·const 
63 ·69·{53 ·46·{
64 ·70·out.resize(size()); 
65 ·71 
66 ·72·out[0][0]·=·sign_[0]*(-2*in[0]*in[1]·+·in[0]*in[0]); 
67 ·73·out[0][1]·=·sign_[0]*(-1·+·6*in[1]·-2*in[0]*in[1]·-·5*in[1]*in[1]);54 47·typedef·typename·P0LocalFiniteElement<D,R,3>::Traits::LocalBasisType::Traits
 55 T;
 56 48·using·PrismP1·=·LagrangePrismLocalFiniteElement<D,R,1>;
 57 49·using·PrismP2·=·LagrangePrismLocalFiniteElement<D,R,2>;
 58 50·using·PyramidP1·=·LagrangePyramidLocalFiniteElement<D,R,1>;
 59 51·using·PyramidP2·=·LagrangePyramidLocalFiniteElement<D,R,2>;
 60 ·52
 61 54·static·LocalFiniteElementVirtualInterface<T>*·create(const·GeometryType&·gt)
 62 ·55·{
 63 ·56·if·((gt.isPrism())and·(k==1))
 64 ·57·return·new·LocalFiniteElementVirtualImp<PrismP1>(PrismP1());
 65 ·58·if·((gt.isPrism())and·(k==2))
 66 ·59·return·new·LocalFiniteElementVirtualImp<PrismP2>(PrismP2());
 67 ·60·if·((gt.isPyramid())and·(k==1))
 68 ·61·return·new·LocalFiniteElementVirtualImp<PyramidP1>(PyramidP1());
 69 ·62·if·((gt.isPyramid())and·(k==2))
 70 ·63·return·new·LocalFiniteElementVirtualImp<PyramidP2>(PyramidP2());
 71 ·64·return·nullptr;
 72 ·65·}
 73 ·66·};
 74 ·67
 75 ·68
 76 ·72·template<class·D,·class·R,·int·dim,·int·k>
 77 73·struct·PQkLocalFiniteElementFactory
68 ·7478 ·74·{
69 ·75·out[1][0]·=·1.5*in[0]·+·3*in[0]*in[1]·-·4.5*in[0]*in[0]; 
70 ·76·out[1][1]·=·-3·+·6*in[0]·+·10.5*in[1]·-·15*in[0]*in[1]·-·7.5*in[1]*in[1]; 
71 ·77 
72 ·78·out[2][0]·=·sign_[0]*(-7.5*in[0]·+·5*in[0]*in[1]·+·12.5*in[0]*in[0]); 
73 ·79·out[2][1]·=·sign_[0]*(-5·+·30*in[0]·+·7.5*in[1]·-·25*in[0]*in[1]·-·30*in 
74 [0]*in[0]·-·2.5*in[1]*in[1]);79 75·typedef·typename·P0LocalFiniteElement<D,R,dim>::Traits::LocalBasisType::
 80 Traits·T;
 81 76·typedef·LocalFiniteElementVirtualInterface<T>·FiniteElementType;
 82 77·using·P0·=·P0LocalFiniteElement<D,R,dim>;
 83 78·using·Pk·=·LagrangeSimplexLocalFiniteElement<D,R,dim,k>;
 84 79·using·Qk·=·LagrangeCubeLocalFiniteElement<D,R,dim,k>;
75 ·8085 ·80
76 ·8186 ·81
 87 83·static·FiniteElementType*·create(const·GeometryType&·gt)
 88 ·84·{
 89 ·85·if·(k==0)
 90 ·86·return·new·LocalFiniteElementVirtualImp<P0>(P0(gt));
 91 ·87
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini2simplex2d 
14 Classes·|·Namespaces13 Classes·|·Namespaces·|·Typedefs
15 brezzidouglasmarini2simplex2dlocalcoefficients.hh·File·Reference14 pk2d.hh·File·Reference
16 #include·<cstddef>15 #include·<cstddef>
17 #include·<vector> 
18 #include·"../../common/localkey.hh"16 #include·<dune/geometry/type.hh>
 17 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 18 #include·<dune/localfunctions/common/localtoglobaladaptors.hh>
 19 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
19 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
20 ·Classes21 ·Classes
21 class· Dune::BDM2Simplex2DLocalCoefficients 
22  ······Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·triangles.·More...22 ·class· Dune::Pk2DFiniteElement<_Geometry,_RF,_k_>
 23  ·······Langrange·finite·element·of·arbitrary·order·on·triangles.·More...
 24  
 25 struct· Dune::Pk2DFiniteElement<_Geometry,_RF,_k_>::Traits
 26  
 27 struct· Dune::Pk2DFiniteElementFactory<_Geometry,_RF,_k_>
 28  ·······Factory·for·Pk2DFiniteElement·objects.·More...
23  29  
24 ·Namespaces30 ·Namespaces
25 namespace· Dune31 namespace· Dune
26  32  
 33 ·Typedefs
 34 template<class·D·,·class·R·,·unsigned·int·k>
 35 using Dune::Pk2DLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,
 36 ·······2,·k·>
 37  
  
27 ===============================================================================38 ===============================================================================
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12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini2simplex2d 
14 brezzidouglasmarini2simplex2dlocalcoefficients.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·DUNE_PK2DLOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_PK2DLOCALFINITEELEMENT_HH
21 ·5#ifndef 
22 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALCOEFFICIENTS_HH 
23 ·6#define 
24 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALCOEFFICIENTS_HH 
25 ·722 ·7
26 ·8#include·<cstddef>23 ·8#include·<cstddef>
27 ·9#include·<vector> 
28 ·10 
29 ·11#include·"../../common/localkey.hh" 
30 ·12 
31 ·13namespace·Dune 
32 ·14{24 ·9
 25 ·10#include·<dune/geometry/type.hh>
 26 ·11
 27 ·12#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 28 ·13#include·<dune/localfunctions/common/localtoglobaladaptors.hh>
 29 ·14#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
33 ·1530 ·15
34 23·class·BDM2Simplex2DLocalCoefficients 
35 ·24·{ 
36 ·2531 ·16#warning·This·header·is·deprecated
 32 ·17
 33 ·18namespace·Dune
 34 ·19{
 35 ·20
 36 ·25·template<class·D,·class·R,·unsigned·int·k>
 37 26·using·Pk2DLocalFiniteElement
 38 ·27·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
 39 ·28·=·LagrangeSimplexLocalFiniteElement<D,R,2,k>;
 40 ·29
 41 ·30
 42 ·32
 43 ·39·template<class·Geometry,·class·RF,·std::size_t·k>
 44 40·class·Pk2DFiniteElement·{
 45 ·41·typedef·typename·Geometry::ctype·DF;
 46 ·42·typedef·Impl::LagrangeSimplexLocalBasis<DF,RF,2,k>·LocalBasis;
 47 ·43·typedef·Impl::LagrangeSimplexLocalInterpolation<LocalBasis>
 48 LocalInterpolation;
 49 ·44
37 ·26·public:50 ·45·public:
 51 49·struct·Traits·{
 52 50·typedef·ScalarLocalToGlobalBasisAdaptor<LocalBasis,_Geometry>·Basis;
 53 ·51·typedef·LocalToGlobalInterpolationAdaptor<
 54 ·52·LocalInterpolation,
 55 ·53·typename·Basis::Traits
 56 54·>·Interpolation;
 57 55·typedef·Impl::LagrangeSimplexLocalCoefficients<2,k>·Coefficients;
 58 ·56·};
 59 ·57
38 28·BDM2Simplex2DLocalCoefficients()·:·li(12) 
39 ·29·{ 
40 ·30·for·(std::size_t·i·=·0;·i·<·3;·++i) 
41 ·31·{ 
42 ·32·li[3·*·i]·=·LocalKey(i,1,0); 
43 ·33·li[3·*·i·+·1]·=·LocalKey(i,1,1); 
44 ·34·li[3·*·i·+·2]·=·LocalKey(i,1,2); 
45 ·35·} 
46 ·36 
47 ·37·//·last·DOFs·are·associated·with·the·cell·(codim=0) 
48 ·38·li[9]·=·LocalKey(0,0,0); 
49 ·39·li[10]·=·LocalKey(0,0,1); 
50 ·40·li[11]·=·LocalKey(0,0,2); 
51 ·41·} 
52 ·42 
53 44·std::size_t·size()·const 
54 ·45·{ 
55 ·46·return·12; 
56 ·47·} 
57 ·48 
58 50·const·LocalKey&·localKey(std::size_t·i)·const 
59 ·51·{ 
60 ·52·return·li[i]; 
61 ·53·} 
62 ·54 
63 ·55·private:60 ·58·private:
64 ·56·std::vector<LocalKey>·li;61 ·59·static·const·GeometryType·gt;
 62 ·60·static·const·LocalBasis·localBasis;
 63 ·61·static·const·LocalInterpolation·localInterpolation;
 64 ·62
 65 ·63·typename·Traits::Basis·basis_;
 66 ·64·typename·Traits::Interpolation·interpolation_;
 67 ·65·typename·Traits::Coefficients·coefficients_;
 68 ·66
 69 ·67·public:
 70 ·69
 71 ·82·template<class·VertexOrder>
 72 83·Pk2DFiniteElement(const·Geometry·&geometry,
 73 ·84·const·VertexOrder&·vertexOrder)·:
 74 ·85·basis_(localBasis,·geometry),·interpolation_(localInterpolation),
 75 ·86·coefficients_(vertexOrder.begin(0,·0))
 76 ·87·{·}
 77 ·88
 78 89·const·typename·Traits::Basis&·basis()·const·{·return·basis_;·}
 79 90·const·typename·Traits::Interpolation&·interpolation()·const
 80 ·91·{·return·interpolation_;·}
 81 92·const·typename·Traits::Coefficients&·coefficients()·const
 82 ·93·{·return·coefficients_;·}
 83 94·const·GeometryType·&type()·const·{·return·gt;·}
65 ·57·};84 ·95·};
66 ·58}·//·end·namespace·Dune 
67 ·59#endif·/ 
68 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALCOEFFICIENTS_HH85 ·96
 86 ·97·template<class·Geometry,·class·RF,·std::size_t·k>
 87 ·98·const·GeometryType
 88 ·99·Pk2DFiniteElement<Geometry,·RF,·k>::gt(GeometryTypes::simplex(2));
 89 ·100
 90 ·101·template<class·Geometry,·class·RF,·std::size_t·k>
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10 ····*·dune10 ····*·dune
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 13 Namespaces·|·Typedefs
 14 p1.hh·File·Reference
 15 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini2simplex2d 
14 Classes·|·Namespaces 
15 brezzidouglasmarini2simplex2dlocalinterpolation.hh·File·Reference 
16 #include·<vector> 
17 #include·<dune/geometry/quadraturerules.hh> 
18 #include·<dune/localfunctions/common/localinterpolation.hh> 
19 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
20 ·Classes 
21 class· Dune::BDM2Simplex2DLocalInterpolation<_LB_> 
22  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·triangles.·More... 
23   
24 ·Namespaces17 ·Namespaces
25 namespace· Dune18 namespace· Dune
26  19  
 20 ·Typedefs
 21 template<class·D·,·class·R·,·int·dim>
 22 using Dune::P1LocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,
 23 ·······dim,·1·>
 24  ·····The·local·p1·finite·element·on·simplices.
 25  
  
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12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini2simplex2d 
14 brezzidouglasmarini2simplex2dlocalinterpolation.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·DUNE_P1LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_P1LOCALFINITEELEMENT_HH
21 ·5#ifndef 
22 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALINTERPOLATION_HH 
23 ·6#define 
24 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALINTERPOLATION_HH 
25 ·722 ·7
26 ·8#include·<vector>23 ·8#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
27 ·924 ·9
 25 ·10#warning·This·header·is·deprecated
 26 ·11
28 ·10#include·<dune/geometry/quadraturerules.hh> 
29 ·11#include·<dune/localfunctions/common/localinterpolation.hh> 
30 ·12 
31 ·13namespace·Dune27 ·12namespace·Dune
 28 ·13{
32 ·14{29 ·14
 30 ·22·template<class·D,·class·R,·int·dim>
 31 23·using·P1LocalFiniteElement
 32 ·24·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
 33 ·25·=·LagrangeSimplexLocalFiniteElement<D,R,dim,1>;
33 ·15 
34 ·24·template<class·LB> 
35 25·class·BDM2Simplex2DLocalInterpolation 
36 ·26·{ 
37 ·27 
38 ·28·public: 
39 30·BDM2Simplex2DLocalInterpolation() 
40 ·31·{ 
41 ·32·sign0·=·sign1·=·sign2·=·1.0; 
42 ·33·} 
43 ·34 
44 40·BDM2Simplex2DLocalInterpolation(unsigned·int·s) 
45 ·41·{ 
46 ·42·sign0·=·sign1·=·sign2·=·1.0; 
47 ·43·if·(s·&·1) 
48 ·44·{ 
49 ·45·sign0·=·-1.0; 
50 ·46·} 
51 ·47·if·(s·&·2) 
52 ·48·{ 
53 ·49·sign1·=·-1.0; 
54 ·50·} 
55 ·51·if·(s·&·4) 
56 ·52·{ 
57 ·53·sign2·=·-1.0; 
58 ·54·} 
59 ·55 
60 ·56·m0[0]·=·0.5; 
61 ·57·m0[1]·=·0.0; 
62 ·58·m1[0]·=·0.0; 
63 ·59·m1[1]·=·0.5; 
64 ·60·m2[0]·=·0.5; 
65 ·61·m2[1]·=·0.5; 
66 ·62·n0[0]·=·0.0; 
67 ·63·n0[1]·=·-1.0; 
68 ·64·n1[0]·=·-1.0; 
69 ·65·n1[1]·=·0.0; 
70 ·66·n2[0]·=·1.0/sqrt(2.0); 
71 ·67·n2[1]·=·1.0/sqrt(2.0); 
72 ·68·c0·=·0.5*n0[0]·-·1.0*n0[1]; 
73 ·69·c1·=·-1.0*n1[0]·+·0.5*n1[1]; 
74 ·70·c2·=·0.5*n2[0]·+·0.5*n2[1]; 
75 ·71·} 
76 ·72 
77 ·81·template<typename·F,·typename·C> 
78 82·void·interpolate(const·F&·ff,·std::vector<C>&·out)·const 
79 ·83·{ 
80 ·84·//·f·gives·v*outer·normal·at·a·point·on·the·edge! 
81 ·85·typedef·typename·LB::Traits::RangeFieldType·Scalar; 
82 ·86·typedef·typename·LB::Traits::DomainFieldType·Vector; 
83 ·87 
84 ·88·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits:: 
85 DomainType>(ff); 
86 ·89 
87 ·90·out.resize(12); 
88 ·91·fill(out.begin(),·out.end(),·0.0); 
89 ·92 
90 ·93·const·int·qOrder·=·4; 
91 ·94·const·Dune::QuadratureRule<Scalar,1>&·rule·=·Dune:: 
92 QuadratureRules<Scalar,1>::rule(Dune::GeometryTypes::simplex(1),·qOrder); 
93 ·95 
94 ·96·for·(typename·Dune::QuadratureRule<Scalar,1>::const_iterator·it=rule.begin 
95 ();·it!=rule.end();·++it) 
96 ·97·{ 
97 ·98·Scalar·qPos·=·it->position(); 
98 ·99 
99 ·100·typename·LB::Traits::DomainType·localPos; 
100 ·101 
101 ·102·localPos[0]·=·qPos; 
102 ·103·localPos[1]·=·0.0; 
103 ·104·auto·y·=·f(localPos); 
104 ·105·out[0]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*it->weight()*sign0/c0; 
105 ·106·out[1]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*(1.0·-·2.0*qPos)*it->weight()/c0; 
106 ·107·out[2]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*(6.0*qPos*qPos·-·6.0*qPos·+·1.0)*it- 
107 >weight()*sign0/c0; 
108 ·108 
109 ·109·localPos[0]·=·0.0; 
110 ·110·localPos[1]·=·qPos; 
111 ·111·y·=·f(localPos); 
112 ·112·out[3]·+=·(y[0]*n1[0]+y[1]*n1[1])*it->weight()*sign1/c1; 
113 ·113·out[4]·+=·(y[0]*n1[0]+y[1]*n1[1])*(2.0*qPos-1.0)*it->weight()/c1; 
114 ·114·out[5]·+=·(y[0]*n1[0]+y[1]*n1[1])*(6.0*qPos*qPos·-·6.0*qPos·+·1.0)*it- 
115 >weight()*sign1/c1; 
116 ·115 
117 ·116·localPos[0]·=·1.0·-·qPos; 
118 ·117·localPos[1]·=·qPos; 
119 ·118·y·=·f(localPos); 
120 ·119·out[6]·+=·(y[0]*n2[0]·+·y[1]*n2[1])*it->weight()*sign2/c2; 
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9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube2d 
14 Classes·|·Namespaces13 Classes·|·Namespaces·|·Typedefs
15 brezzidouglasmarini1cube2dlocalcoefficients.hh·File·Reference14 pk1d.hh·File·Reference
16 #include·<cstddef>15 #include·<cstddef>
17 #include·<vector> 
18 #include·"../../common/localkey.hh"16 #include·<dune/geometry/type.hh>
 17 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 18 #include·<dune/localfunctions/common/localtoglobaladaptors.hh>
 19 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
19 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
20 ·Classes21 ·Classes
21 class· Dune::BDM1Cube2DLocalCoefficients 
22  ······Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·quadrilaterals. 
23 ········More...22 ·class· Dune::Pk1DFiniteElement<_Geometry,_RF,_k_>
 23  ·······Langrange·finite·element·of·arbitrary·order·on·triangles.·More...
 24  
 25 struct· Dune::Pk1DFiniteElement<_Geometry,_RF,_k_>::Traits
 26  
 27 struct· Dune::Pk1DFiniteElementFactory<_Geometry,_RF,_k_>
 28  ·······Factory·for·Pk1DFiniteElement·objects.·More...
24  29  
25 ·Namespaces30 ·Namespaces
26 namespace· Dune31 namespace· Dune
27  32  
 33 ·Typedefs
 34 template<class·D·,·class·R·,·unsigned·int·k>
 35 using Dune::Pk1DLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,
 36 ·······1,·k·>
 37  ·····Lagrange·finite·element·on·the·unit·interval·with·arbitrary·compile-time
 38 ·······order.
 39  
  
28 ===============================================================================40 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.841 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 pk1d.hh
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube2d 
14 brezzidouglasmarini1cube2dlocalcoefficients.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALCOEFFICIENTS_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALCOEFFICIENTS_HH20 ·5#ifndef·DUNE_PK1DLOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_PK1DLOCALFINITEELEMENT_HH
23 ·722 ·7
24 ·8#include·<cstddef>23 ·8#include·<cstddef>
25 ·9#include·<vector> 
26 ·10 
27 ·11#include·"../../common/localkey.hh" 
28 ·12 
29 ·13namespace·Dune 
30 ·14{24 ·9
 25 ·10#include·<dune/geometry/type.hh>
 26 ·11
 27 ·12#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 28 ·13#include·<dune/localfunctions/common/localtoglobaladaptors.hh>
 29 ·14#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
31 ·1530 ·15
32 23·class·BDM1Cube2DLocalCoefficients 
33 ·24·{ 
34 ·2531 ·16#warning·This·header·is·deprecated
 32 ·17
 33 ·18namespace·Dune
 34 ·19{
 35 ·20
 36 ·25·template<class·D,·class·R,·unsigned·int·k>
 37 26·using·Pk1DLocalFiniteElement
 38 ·27·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
 39 ·28·=·LagrangeSimplexLocalFiniteElement<D,R,1,k>;
 40 ·29
 41 ·30
 42 ·32
 43 ·39·template<class·Geometry,·class·RF,·std::size_t·k>
 44 40·class·Pk1DFiniteElement·{
 45 ·41·typedef·typename·Geometry::ctype·DF;
 46 ·42·typedef·Impl::LagrangeSimplexLocalBasis<DF,RF,1,k>·LocalBasis;
 47 ·43·typedef·Impl::LagrangeSimplexLocalInterpolation<LocalBasis>
 48 LocalInterpolation;
 49 ·44
 50 ·45·public:
 51 49·struct·Traits·{
 52 50·typedef·ScalarLocalToGlobalBasisAdaptor<LocalBasis,_Geometry>·Basis;
 53 ·51·typedef·LocalToGlobalInterpolationAdaptor<
 54 ·52·LocalInterpolation,
 55 ·53·typename·Basis::Traits
 56 54·>·Interpolation;
 57 55·typedef·Impl::LagrangeSimplexLocalCoefficients<1,k>·Coefficients;
 58 ·56·};
 59 ·57
 60 ·58·private:
 61 ·59·static·const·GeometryType·gt;
 62 ·60·static·const·LocalBasis·localBasis;
 63 ·61·static·const·LocalInterpolation·localInterpolation;
 64 ·62
 65 ·63·typename·Traits::Basis·basis_;
 66 ·64·typename·Traits::Interpolation·interpolation_;
 67 ·65·typename·Traits::Coefficients·coefficients_;
 68 ·66
35 ·26·public:69 ·67·public:
 70 ·69
 71 ·82·template<class·VertexOrder>
 72 83·Pk1DFiniteElement(const·Geometry·&geometry,
 73 ·84·const·VertexOrder&·vertexOrder)·:
 74 ·85·basis_(localBasis,·geometry),·interpolation_(localInterpolation),
 75 ·86·coefficients_(vertexOrder.begin(0,·0))
 76 ·87·{·}
 77 ·88
 78 89·const·typename·Traits::Basis&·basis()·const·{·return·basis_;·}
 79 90·const·typename·Traits::Interpolation&·interpolation()·const
 80 ·91·{·return·interpolation_;·}
 81 92·const·typename·Traits::Coefficients&·coefficients()·const
 82 ·93·{·return·coefficients_;·}
 83 94·const·GeometryType·&type()·const·{·return·gt;·}
36 28·BDM1Cube2DLocalCoefficients·()·:·li(8) 
37 ·29·{ 
38 ·30·for·(std::size_t·i·=·0;·i·<·4;·++i) 
39 ·31·{ 
40 ·32·li[2*i]·=·LocalKey(i,1,0); 
41 ·33·li[2*i·+·1]·=·LocalKey(i,1,1); 
42 ·34·} 
43 ·35·} 
44 ·36 
45 38·std::size_t·size·()·const 
46 ·39·{ 
47 ·40·return·8; 
48 ·41·} 
49 ·42 
50 44·const·LocalKey&·localKey·(std::size_t·i)·const 
51 ·45·{ 
52 ·46·return·li[i]; 
53 ·47·} 
54 ·48 
55 ·49·private: 
56 ·50·std::vector<LocalKey>·li; 
57 ·51·};84 ·95·};
58 ·52} 
59 ·53#endif·/ 
60 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALCOEFFICIENTS_HH85 ·96
 86 ·97·template<class·Geometry,·class·RF,·std::size_t·k>
 87 ·98·const·GeometryType
 88 ·99·Pk1DFiniteElement<Geometry,·RF,·k>::gt(GeometryTypes::simplex(2));
 89 ·100
 90 ·101·template<class·Geometry,·class·RF,·std::size_t·k>
 91 ·102·const·typename·Pk1DFiniteElement<Geometry,·RF,·k>::LocalBasis
 92 ·103·Pk1DFiniteElement<Geometry,·RF,·k>::localBasis·=·LocalBasis();
 93 ·104
 94 ·105·template<class·Geometry,·class·RF,·std::size_t·k>
 95 ·106·const·typename·Pk1DFiniteElement<Geometry,·RF,·k>::LocalInterpolation
 96 ·107·Pk1DFiniteElement<Geometry,·RF,·k>::localInterpolation·=
 97 ·108·LocalInterpolation();
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube2d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
 14 lagrangebasis.hh·File·Reference
 15 #include·<fstream>
15 brezzidouglasmarini1cube2dlocalbasis.hh·File·Reference 
16 #include·<array> 
17 #include·<bitset> 
18 #include·<numeric> 
19 #include·<vector> 
20 #include·<dune/common/fmatrix.hh>16 #include·<dune/common/exceptions.hh>
21 #include·"../../common/localbasis.hh"17 #include·<dune/localfunctions/utility/defaultbasisfactory.hh>
 18 #include·<dune/localfunctions/utility/monomialbasis.hh>
 19 #include·<dune/localfunctions/lagrange/interpolation.hh>
22 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
23 ·Classes21 ·Classes
 22 struct· Dune::LagrangeBasisFactory<_LP,_dim,_SF,_CF_>
24 class· Dune::BDM1Cube2DLocalBasis<_D,_R_> 
25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference 
26 ········quadrilateral.·More... 
27  23  
28 ·Namespaces24 ·Namespaces
29 namespace· Dune25 namespace· Dune
30  26  
  
31 ===============================================================================27 ===============================================================================
32 ·····Generated·by [doxygen]·1.9.828 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·brezzidouglasmarini1cube2dlocalbasis.hh·Source·File</title>8 <title>dune-localfunctions:·lagrangebasis.hh·Source·File</title>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 lagrangebasis.hh
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube2d 
14 brezzidouglasmarini1cube2dlocalbasis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALBASIS_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALBASIS_HH20 ·5#ifndef·DUNE_LAGRANGEBASIS_HH
 21 ·6#define·DUNE_LAGRANGEBASIS_HH
23 ·722 ·7
 23 ·8#include·<fstream>
24 ·8#include·<array> 
25 ·9#include·<bitset> 
26 ·10#include·<numeric> 
27 ·11#include·<vector> 
28 ·12 
29 ·13#include·<dune/common/fmatrix.hh>24 ·9#include·<dune/common/exceptions.hh>
30 ·14 
31 ·15#include·"../../common/localbasis.hh" 
32 ·1625 ·10
 26 ·11#include·<dune/localfunctions/utility/defaultbasisfactory.hh>
 27 ·12#include·<dune/localfunctions/utility/monomialbasis.hh>
 28 ·13
 29 ·14#include·<dune/localfunctions/lagrange/interpolation.hh>
 30 ·15
33 ·17namespace·Dune31 ·16namespace·Dune
 32 ·17{
34 ·18{33 ·18
 34 ·19·template<·template·<class,unsigned·int>·class·LP,
 35 ·20·unsigned·int·dim,·class·SF,·class·CF·>
 36 21·struct·LagrangeBasisFactory
 37 ·22·:·public·DefaultBasisFactory<·MonomialBasisFactory<dim,CF>,
 38 ·23·LagrangeInterpolationFactory<LP,dim,CF>,
 39 ·24·dim,1,SF,CF·>
 40 ·25·{};
 41 ·26
35 ·28·template<class·D,·class·R> 
36 29·class·BDM1Cube2DLocalBasis 
37 ·30·{ 
38 ·31 
39 ·32·public: 
40 ·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune:: 
41 FieldVector<R,2>, 
42 34·Dune::FieldMatrix<R,2,2>·>·Traits; 
43 ·35 
44 37·BDM1Cube2DLocalBasis·() 
45 ·38·{ 
46 ·39·for·(size_t·i=0;·i<4;·i++) 
47 ·40·sign_[i]·=·1.0; 
48 ·41·} 
49 ·42 
50 48·BDM1Cube2DLocalBasis·(std::bitset<4>·s) 
51 ·49·{ 
52 ·50·for·(size_t·i=0;·i<4;·i++) 
53 ·51·sign_[i]·=·s[i]·?·-1.0·:·1.0; 
54 ·52·} 
55 ·53 
56 55·unsigned·int·size·()·const 
57 ·56·{ 
58 ·57·return·8; 
59 ·58·} 
60 ·59 
61 66·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
62 ·67·std::vector<typename·Traits::RangeType>&·out)·const 
63 ·68·{ 
64 ·69·out.resize(8); 
65 ·70 
66 ·71·out[0][0]·=·sign_[0]*(in[0]·-·1.0); 
67 ·72·out[0][1]·=·0.0; 
68 ·73·out[1][0]·=·6.0*in[0]*in[1]·-·3.0*in[0]-6*in[1]·+·3.0; 
69 ·74·out[1][1]·=·-3.0*in[1]*in[1]·+·3.0*in[1]; 
70 ·75·out[2][0]·=·sign_[1]*(in[0]); 
71 ·76·out[2][1]·=·0.0; 
72 ·77·out[3][0]·=·-6.0*in[0]*in[1]·+·3.0*in[0]; 
73 ·78·out[3][1]·=·3.0*in[1]*in[1]·-·3.0*in[1]; 
74 ·79·out[4][0]·=·0.0; 
75 ·80·out[4][1]·=·sign_[2]*(in[1]·-·1.0); 
76 ·81·out[5][0]·=·3.0*in[0]*in[0]·-·3.0*in[0]; 
77 ·82·out[5][1]·=·-6.0*in[0]*in[1]·+·6.0*in[0]·+·3.0*in[1]·-·3.0; 
78 ·83·out[6][0]·=·0.0; 
79 ·84·out[6][1]·=·sign_[3]*(in[1]); 
80 ·85·out[7][0]·=·-3.0*in[0]*in[0]·+·3.0*in[0]; 
81 ·86·out[7][1]·=·6.0*in[0]*in[1]·-·3.0*in[1]; 
82 ·87·} 
83 ·88 
84 95·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in, 
85 ·96·std::vector<typename·Traits::JacobianType>&·out)·const 
86 ·97·{ 
87 ·98·out.resize(8); 
88 ·99 
89 ·100·out[0][0][0]·=·sign_[0]; 
90 ·101·out[0][0][1]·=·0.0; 
91 ·102·out[0][1][0]·=·0.0; 
92 ·103·out[0][1][1]·=·0.0; 
93 ·104 
94 ·105·out[1][0][0]·=·6.0*in[1]·-·3.0; 
95 ·106·out[1][0][1]·=·6.0*in[0]·-·6.0; 
96 ·107·out[1][1][0]·=·0.0; 
97 ·108·out[1][1][1]·=·-6.0*in[1]·+·3.0; 
98 ·109 
99 ·110·out[2][0][0]·=·sign_[1]; 
100 ·111·out[2][0][1]·=·0.0; 
101 ·112·out[2][1][0]·=·0.0; 
102 ·113·out[2][1][1]·=·0.0; 
103 ·114 
104 ·115·out[3][0][0]·=·-6.0*in[1]·+·3.0; 
105 ·116·out[3][0][1]·=·-6.0*in[0]; 
106 ·117·out[3][1][0]·=·0.0; 
107 ·118·out[3][1][1]·=·6.0*in[1]·-·3.0; 
108 ·119 
109 ·120·out[4][0][0]·=·0.0; 
110 ·121·out[4][0][1]·=·0.0; 
111 ·122·out[4][1][0]·=·0.0; 
112 ·123·out[4][1][1]·=·sign_[2]; 
113 ·124 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube2d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 brezzidouglasmarini1cube2dlocalinterpolation.hh·File·Reference 
16 #include·<vector>14 lagrangepyramid.hh·File·Reference
 15 #include·<array>
 16 #include·<numeric>
 17 #include·<dune/common/fmatrix.hh>
 18 #include·<dune/common/fvector.hh>
 19 #include·<dune/common/math.hh>
17 #include·<dune/geometry/quadraturerules.hh>20 #include·<dune/geometry/referenceelements.hh>
 21 #include·<dune/localfunctions/common/localbasis.hh>
 22 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
18 #include·<dune/localfunctions/common/localinterpolation.hh>23 #include·<dune/localfunctions/common/localinterpolation.hh>
 24 #include·<dune/localfunctions/common/localkey.hh>
19 Go_to_the_source_code_of_this_file.25 Go_to_the_source_code_of_this_file.
20 ·Classes26 ·Classes
21 class· Dune::BDM1Cube2DLocalInterpolation<_LB_> 
22  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference27 class· Dune::LagrangePyramidLocalFiniteElement<_D,_R,_k_>
 28  ······Lagrange·finite·element·for·3d·pyramids·with·compile-time·polynomial
23 ········quadrilateral.·More...29 ········order.·More...
24  30  
25 ·Namespaces31 ·Namespaces
26 namespace· Dune32 namespace· Dune
27  33  
  
28 ===============================================================================34 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.835 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·brezzidouglasmarini1cube2dlocalinterpolation.hh·Source·File</title>8 <title>dune-localfunctions:·lagrangepyramid.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 lagrangepyramid.hh
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube2d 
14 brezzidouglasmarini1cube2dlocalinterpolation.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALINTERPOLATION_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALINTERPOLATION_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGEPYRAMID_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGEPYRAMID_HH
23 ·722 ·7
24 ·8#include·<vector>23 ·8#include·<array>
25 ·924 ·9#include·<numeric>
 25 ·10
 26 ·11#include·<dune/common/fmatrix.hh>
 27 ·12#include·<dune/common/fvector.hh>
 28 ·13#include·<dune/common/math.hh>
 29 ·14
26 ·10#include·<dune/geometry/quadraturerules.hh>30 ·15#include·<dune/geometry/referenceelements.hh>
 31 ·16
 32 ·17#include·<dune/localfunctions/common/localbasis.hh>
 33 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
27 ·11#include·<dune/localfunctions/common/localinterpolation.hh>34 ·19#include·<dune/localfunctions/common/localinterpolation.hh>
 35 ·20#include·<dune/localfunctions/common/localkey.hh>
 36 ·21
 37 ·22namespace·Dune·{·namespace·Impl
 38 ·23{
 39 ·33·template<class·D,·class·R,·unsigned·int·k>
 40 ·34·class·LagrangePyramidLocalBasis
 41 ·35·{
28 ·12 
29 ·13namespace·Dune 
30 ·14{ 
31 ·15 
32 ·24·template<class·LB> 
33 25·class·BDM1Cube2DLocalInterpolation 
34 ·26·{ 
35 ·27 
36 ·28·public:42 ·36·public:
 43 ·37·using·Traits·=
 44 LocalBasisTraits<D,3,FieldVector<D,3>,R,1,FieldVector<R,1>,FieldMatrix<R,1,3>
 45 >;
 46 ·38
 47 ·41·static·constexpr·std::size_t·size·()
37 30·BDM1Cube2DLocalInterpolation·() 
38 ·31·{ 
39 ·32·sign0·=·sign1·=·sign2·=·sign3·=·1.0; 
40 ·33·} 
41 ·34 
42 40·BDM1Cube2DLocalInterpolation·(unsigned·int·s) 
43 ·41·{48 ·42·{
44 ·42·sign0·=·sign1·=·sign2·=·sign3·=·1.0; 
45 ·43·if·(s·&·1) 
46 ·44·{ 
47 ·45·sign0·=·-1.0;49 ·43·std::size_t·result·=·0;
 50 ·44·for·(unsigned·int·i=0;·i<=k;·i++)
 51 ·45·result·+=·power(i+1,2);
 52 ·46·return·result;
48 ·46·}53 ·47·}
49 ·47·if·(s·&·2) 
50 ·48·{54 ·48
 55 ·50·void·evaluateFunction(const·typename·Traits::DomainType&·in,
 56 ·51·std::vector<typename·Traits::RangeType>&·out)·const
51 ·49·sign1·=·-1.0; 
52 ·50·} 
53 ·51·if·(s·&·4) 
Diff chunk too large, falling back to line-by-line diff (771 lines added, 73 lines removed)
54 ·52·{57 ·52·{
55 ·53·sign2·=·-1.0;58 ·53·out.resize(size());
56 ·54·}59 ·54
57 ·55·if·(s·&·8)60 ·55·//·Specialization·for·zero-order·case
58 ·56·{61 ·56·if·(k==0)
59 ·57·sign3·=·-1.0;62 ·57·{
60 ·58·}63 ·58·out[0]·=·1;
61 ·5964 ·59·return;
62 ·60·n0[0]·=·-1.0;65 ·60·}
63 ·61·n0[1]·=·0.0;66 ·61
64 ·62·n1[0]·=·1.0;67 ·62·if·(k==1)
65 ·63·n1[1]·=·0.0;68 ·63·{
66 ·64·n2[0]·=·0.0;69 ·64·if(in[0]·>·in[1])
67 ·65·n2[1]·=·-1.0;70 ·65·{
68 ·66·n3[0]·=·0.0;71 ·66·out[0]·=·(1-in[0])*(1-in[1])-in[2]*(1-in[1]);
69 ·67·n3[1]·=·1.0;72 ·67·out[1]·=·in[0]*(1-in[1])-in[2]*in[1];
70 ·68·}73 ·68·out[2]·=·(1-in[0])*in[1]-in[2]*in[1];
71 ·6974 ·69·out[3]·=·in[0]*in[1]+in[2]*in[1];
72 ·78·template<typename·F,·typename·C>75 ·70·}
73 79·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const76 ·71·else
74 ·80·{77 ·72·{
75 ·81·//·f·gives·v*outer·normal·at·a·point·on·the·edge!78 ·73·out[0]·=·(1-in[0])*(1-in[1])-in[2]*(1-in[0]);
76 ·82·typedef·typename·LB::Traits::RangeFieldType·Scalar;79 ·74·out[1]·=·in[0]*(1-in[1])-in[2]*in[0];
77 ·83·//typedef·typename·LB::Traits::DomainFieldType·Vector;80 ·75·out[2]·=·(1-in[0])*in[1]-in[2]*in[0];
78 ·8481 ·76·out[3]·=·in[0]*in[1]+in[2]*in[0];
79 ·85·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::82 ·77·}
80 DomainType>(ff);83 ·78
81 ·8684 ·79·out[4]·=·in[2];
82 ·87·out.resize(8);85 ·80
83 ·88·fill(out.begin(),·out.end(),·0.0);86 ·81·return;
84 ·8987 ·82·}
85 ·90·const·int·qOrder·=·4;88 ·83
86 ·91·const·QuadratureRule<Scalar,1>&·rule·=·QuadratureRules<Scalar,1>::rule89 ·84·if·(k==2)
87 (GeometryTypes::cube(1),·qOrder);90 ·85·{
88 ·9291 ·86·//·transform·to·reference·element·with·base·[-1,1]^2
89 ·93·for·(typename·QuadratureRule<Scalar,1>::const_iterator·it·=·rule.begin();92 ·87·const·R·x·=·2.0*in[0]·+·in[2]·-·1.0;
90 ·94·it·!=·rule.end();·++it)93 ·88·const·R·y·=·2.0*in[1]·+·in[2]·-·1.0;
91 ·95·{94 ·89·const·R·z·=·in[2];
92 ·96·Scalar·qPos·=·it->position();95 ·90
93 ·97·typename·LB::Traits::DomainType·localPos;96 ·91·if·(x·>·y)
94 ·9897 ·92·{
95 ·99·localPos[0]·=·0.0;98 ·93·//·vertices
96 ·100·localPos[1]·=·qPos;99 ·94·out[0]·=·0.25*(x·+·z)*(x·+·z·-·1)*(y·-·z·-·1)*(y·-·z);
97 ·101·auto·y·=·f(localPos);100 ·95·out[1]·=·-0.25*(x·+·z)*(y·-·z)*((x·+·z·+·1)*(-y·+·z·+·1)·-·4*z)·-·z*(x·-
98 ·102·out[0]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*it->weight()*sign0;101 y);
99 ·103·out[1]·+=·(y[0]*n0[0]·+·y[1]*n0[1])*(2.0*qPos·-·1.0)*it->weight();102 ·96·out[2]·=·0.25*(x·+·z)*(y·-·z)*(y·-·z·+·1)*(x·+·z·-·1);
100 ·104103 ·97·out[3]·=·0.25*(y·-·z)*(x·+·z)*(y·-·z·+·1)*(x·+·z·+·1);
101 ·105·localPos[0]·=·1.0;104 ·98·out[4]·=·z*(2*z·-·1);
102 ·106·localPos[1]·=·qPos;105 ·99
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 Namespaces·|·Typedefs
 14 pk3d.hh·File·Reference
 15 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube3d 
14 Classes·|·Namespaces 
15 brezzidouglasmarini1cube3dlocalcoefficients.hh·File·Reference 
16 #include·<cstddef> 
17 #include·<vector> 
18 #include·"../../common/localkey.hh" 
19 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
20 ·Classes 
21 class· Dune::BDM1Cube3DLocalCoefficients 
22  ······Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·hexahedra.·More... 
23   
24 ·Namespaces17 ·Namespaces
25 namespace· Dune18 namespace· Dune
26  19  
 20 ·Typedefs
 21 template<class·D·,·class·R·,·unsigned·int·k>
 22 using Dune::Pk3DLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,
 23 ·······3,·k·>
 24  
  
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11 ····*·localfunctions11 ····*·localfunctions
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 13 pk3d.hh
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube3d 
14 brezzidouglasmarini1cube3dlocalcoefficients.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALCOEFFICIENTS_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALCOEFFICIENTS_HH20 ·5#ifndef·DUNE_Pk3DLOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_Pk3DLOCALFINITEELEMENT_HH
23 ·722 ·7
 23 ·8#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 24 ·9
 25 ·10#warning·This·header·is·deprecated
 26 ·11
24 ·8#include·<cstddef> 
25 ·9#include·<vector> 
26 ·10 
27 ·11#include·"../../common/localkey.hh" 
28 ·12 
29 ·13namespace·Dune27 ·12namespace·Dune
 28 ·13{
30 ·14{29 ·14
31 ·15 
32 23·class·BDM1Cube3DLocalCoefficients 
33 ·24·{30 ·19·template<class·D,·class·R,·unsigned·int·k>
 31 20·using·Pk3DLocalFiniteElement
 32 ·21·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
 33 ·22·=·LagrangeSimplexLocalFiniteElement<D,R,3,k>;
 34 ·23
 35 ·24}
34 ·2536 ·25
 37 ·26#endif
 38 lagrangesimplex.hh
35 ·26·public: 
36 28·BDM1Cube3DLocalCoefficients()·:·li(18) 
37 ·29·{ 
38 ·30·for·(std::size_t·i·=·0;·i·<·6;·++i) 
39 ·31·{ 
40 ·32·li[i]·=·LocalKey(i,1,0); 
41 ·33·li[i·+·6]·=·LocalKey(i,1,1); 
42 ·34·li[i·+·12]·=·LocalKey(i,1,2); 
43 ·35·} 
44 ·36·} 
45 ·37 
46 39·std::size_t·size()·const 
47 ·40·{ 
48 ·41·return·18; 
49 ·42·} 
50 ·43 
51 45·const·LocalKey&·localKey(std::size_t·i)·const 
52 ·46·{ 
53 ·47·return·li[i]; 
54 ·48·} 
55 ·49 
56 ·50·private: 
57 ·51·std::vector<LocalKey>·li; 
58 ·52·}; 
59 ·53}·//·end·namespace·Dune 
60 ·54#endif·/ 
61 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALCOEFFICIENTS_HH 
62 Dune39 Dune
63 Definition·bdfmcube.hh:1840 Definition·bdfmcube.hh:18
 41 Dune::LagrangeSimplexLocalFiniteElement
 42 Lagrange·finite·element·for·simplices·with·arbitrary·compile-time·dimension·and
 43 polynomial·order.
 44 Definition·lagrangesimplex.hh:838
64 Dune::BDM1Cube3DLocalCoefficients 
65 Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·hexahedra. 
66 Definition·brezzidouglasmarini1cube3dlocalcoefficients.hh:24 
67 Dune::BDM1Cube3DLocalCoefficients::size 
68 std::size_t·size()·const 
69 number·of·coefficients 
70 Definition·brezzidouglasmarini1cube3dlocalcoefficients.hh:39 
71 Dune::BDM1Cube3DLocalCoefficients::BDM1Cube3DLocalCoefficients 
72 BDM1Cube3DLocalCoefficients() 
73 Standard·constructor. 
74 Definition·brezzidouglasmarini1cube3dlocalcoefficients.hh:28 
75 Dune::BDM1Cube3DLocalCoefficients::localKey 
76 const·LocalKey·&·localKey(std::size_t·i)·const 
77 get·i'th·index 
78 Definition·brezzidouglasmarini1cube3dlocalcoefficients.hh:45 
79 Dune::LocalKey 
80 Describe·position·of·one·degree·of·freedom. 
81 Definition·localkey.hh:23 
  
82 ===============================================================================45 ===============================================================================
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 12 ····*·lagrange
 13 Namespaces·|·Typedefs
 14 pyramidp2.hh·File·Reference
 15 #include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube3d 
14 Classes·|·Namespaces 
15 brezzidouglasmarini1cube3dlocalinterpolation.hh·File·Reference 
16 #include·<vector> 
17 #include·<dune/geometry/quadraturerules.hh> 
18 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
19 ·Classes 
20 class· Dune::BDM1Cube3DLocalInterpolation<_LB_> 
21  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference 
22 ········hexahedron.·More... 
23   
24 ·Namespaces17 ·Namespaces
25 namespace· Dune18 namespace· Dune
26  19  
 20 ·Typedefs
 21 template<class·D·,·class·R·>
 22 using Dune::PyramidP2LocalFiniteElement·=·LagrangePyramidLocalFiniteElement<
 23 ·······D,·R,·2·>
 24  ·····Second-order·Lagrangian·finite·element·on·a·three-dimensional·pyramid.
 25  
  
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 12 ····*·lagrange
 13 pyramidp2.hh
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube3d 
14 brezzidouglasmarini1cube3dlocalinterpolation.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALINTERPOLATION_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALINTERPOLATION_HH20 ·5#ifndef·DUNE_PYRAMIDP2_3DLOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_PYRAMIDP2_3DLOCALFINITEELEMENT_HH
23 ·722 ·7
24 ·8#include·<vector>23 ·8#include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
25 ·924 ·9
26 ·10#include·<dune/geometry/quadraturerules.hh>25 ·10#warning·This·header·is·deprecated
27 ·1126 ·11
28 ·12namespace·Dune27 ·12namespace·Dune
29 ·13{28 ·13{
30 ·1429 ·14
 30 ·19·template<class·D,·class·R>
 31 20·using·PyramidP2LocalFiniteElement
 32 ·21·[[deprecated("use·LagrangePyramidLocalFiniteElement·instead")]]
 33 ·22·=·LagrangePyramidLocalFiniteElement<D,R,2>;
 34 ·23
 35 ·24}
 36 ·25
31 ·24·template<class·LB> 
32 25·class·BDM1Cube3DLocalInterpolation 
33 ·26·{ 
34 ·27 
35 ·28·public: 
36 30·BDM1Cube3DLocalInterpolation() 
37 ·31·{ 
38 ·32·sign0·=·sign1·=·sign2·=·sign3·=·sign4·=·sign5·=·1.0; 
39 ·33·} 
40 ·34 
41 40·BDM1Cube3DLocalInterpolation(unsigned·int·s) 
42 ·41·{ 
43 ·42·sign0·=·sign1·=·sign2·=·sign3·=·sign4·=·sign5·=·1.0; 
44 ·43·if·(s·&·1) 
45 ·44·{ 
46 ·45·sign0·=·-1.0; 
47 ·46·} 
48 ·47·if·(s·&·2) 
49 ·48·{ 
50 ·49·sign1·=·-1.0; 
51 ·50·} 
52 ·51·if·(s·&·4) 
53 ·52·{ 
54 ·53·sign2·=·-1.0; 
55 ·54·} 
56 ·55·if·(s·&·8) 
57 ·56·{ 
58 ·57·sign3·=·-1.0; 
59 ·58·} 
60 ·59·if·(s·&·16) 
61 ·60·{ 
62 ·61·sign4·=·-1.0; 
63 ·62·} 
64 ·63·if·(s·&·32) 
65 ·64·{ 
66 ·65·sign5·=·-1.0; 
67 ·66·} 
68 ·67 
69 ·68·n0[0]·=·-1.0; 
70 ·69·n0[1]·=·0.0; 
71 ·70·n0[2]·=·0.0; 
72 ·71·n1[0]·=·1.0; 
73 ·72·n1[1]·=·0.0; 
74 ·73·n1[2]·=·0.0; 
75 ·74·n2[0]·=·0.0; 
76 ·75·n2[1]·=·-1.0; 
77 ·76·n2[2]·=·0.0; 
78 ·77·n3[0]·=·0.0; 
79 ·78·n3[1]·=·1.0; 
80 ·79·n3[2]·=·0.0; 
81 ·80·n4[0]·=·0.0; 
82 ·81·n4[1]·=·0.0; 
83 ·82·n4[2]·=·-1.0; 
84 ·83·n5[0]·=·0.0; 
85 ·84·n5[1]·=·0.0; 
86 ·85·n5[2]·=·1.0; 
87 ·86·} 
88 ·87 
89 ·96·template<typename·F,·typename·C> 
90 97·void·interpolate(const·F&·f,·std::vector<C>&·out)·const 
91 ·98·{ 
92 ·99·//·f·gives·v*outer·normal·at·a·point·on·the·edge! 
93 ·100·typedef·typename·LB::Traits::RangeFieldType·Scalar; 
94 ·101·//typedef·typename·LB::Traits::DomainFieldType·Vector; 
95 ·102 
96 ·103·DUNE_THROW(·NotImplemented,·"Interpolation·for·BDM1Cube3D·finite·elements 
97 is·not·implemented."·); 
98 ·104 
99 ·105·out.resize(18); 
100 ·106·fill(out.begin(),·out.end(),·0.0); 
101 ·107 
102 ·108·const·int·qOrder·=·4; 
103 ·109·const·QuadratureRule<Scalar,1>&·rule·=·QuadratureRules<Scalar,1>::rule 
104 (GeometryTypes::cube(1),·qOrder); 
105 ·110 
106 ·111·for·(typename·QuadratureRule<Scalar,1>::const_iterator·it·=·rule.begin(); 
107 ·112·it·!=·rule.end();·++it) 
108 ·113·{ 
109 ·114·//·TODO:·write·interpolation 
110 ·115·} 
111 ·116·} 
112 ·117 
113 ·118·private: 
114 ·119·typename·LB::Traits::RangeFieldType·sign0,·sign1,·sign2,·sign3,·sign4, 
115 sign5; 
116 ·120·typename·LB::Traits::DomainType·n0,·n1,·n2,·n3,·n4,·n5; 
117 ·121·}; 
118 ·122}·//·end·namespace·Dune 
119 ·123#endif·/37 ·26#endif
120 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALINTERPOLATION_HH38 lagrangepyramid.hh
121 Dune39 Dune
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 Namespaces·|·Typedefs
 14 qk.hh·File·Reference
 15 #include·<dune/localfunctions/lagrange/lagrangecube.hh>
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube3d 
14 Classes·|·Namespaces 
15 brezzidouglasmarini1cube3dlocalbasis.hh·File·Reference 
16 #include·<array> 
17 #include·<bitset> 
18 #include·<numeric> 
19 #include·<vector> 
20 #include·<dune/common/fmatrix.hh> 
21 #include·"../../common/localbasis.hh" 
22 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
23 ·Classes 
24 class· Dune::BDM1Cube3DLocalBasis<_D,_R_> 
25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference 
26 ········hexahedron.·More... 
27   
28 ·Namespaces17 ·Namespaces
29 namespace· Dune18 namespace· Dune
30  19  
 20 ·Typedefs
 21 template<class·D·,·class·R·,·int·d,·int·k>
 22 using Dune::QkLocalFiniteElement·=·LagrangeCubeLocalFiniteElement<·D,·R,·d,·k
 23 ·······>
 24  ·····General·Lagrange·finite·element·for·cubes·with·arbitrary·dimension·and
 25 ·······polynomial·order.
 26  
  
31 ===============================================================================27 ===============================================================================
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 qk.hh
12 ····*·brezzidouglasmarini 
13 ····*·brezzidouglasmarini1cube3d 
14 brezzidouglasmarini1cube3dlocalbasis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALBASIS_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALBASIS_HH 
23 ·7 
24 ·8#include·<array> 
25 ·9#include·<bitset> 
26 ·10#include·<numeric> 
27 ·11#include·<vector>20 ·5
 21 ·6#ifndef·DUNE_LOCALFUNCTIONS_QK_LOCALFINITEELEMENT_HH
 22 ·7#define·DUNE_LOCALFUNCTIONS_QK_LOCALFINITEELEMENT_HH
 23 ·8
 24 ·9#include·<dune/localfunctions/lagrange/lagrangecube.hh>
 25 ·10
 26 ·11#warning·This·header·is·deprecated
28 ·1227 ·12
29 ·13#include·<dune/common/fmatrix.hh> 
30 ·14 
31 ·15#include·"../../common/localbasis.hh" 
32 ·16 
33 ·17namespace·Dune28 ·13namespace·Dune
34 ·18{29 ·14{
35 ·29·template<class·D,·class·R>30 ·25·template<class·D,·class·R,·int·d,·int·k>
 31 26·using·QkLocalFiniteElement
 32 ·27·[[deprecated("use·LagrangeCubeLocalFiniteElement·instead")]]
 33 ·28·=·LagrangeCubeLocalFiniteElement<D,R,d,k>;
36 30·class·BDM1Cube3DLocalBasis 
37 ·31·{ 
38 ·32 
39 ·33·public: 
40 ·34·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>, 
41 ·35·R,3,Dune::FieldVector<R,3>, 
42 36·Dune::FieldMatrix<R,3,3>·>·Traits; 
43 ·37 
44 39·BDM1Cube3DLocalBasis() 
45 ·40·{ 
46 ·41·for·(size_t·i=0;·i<6;·i++) 
47 ·42·sign_[i]·=·1.0; 
48 ·43·} 
49 ·44 
50 50·BDM1Cube3DLocalBasis(std::bitset<6>·s) 
51 ·51·{ 
52 ·52·for·(size_t·i=0;·i<6;·i++) 
53 ·53·sign_[i]·=·s[i]·?·-1.0·:·1.0; 
54 ·54·} 
55 ·55 
56 57·unsigned·int·size()·const 
57 ·58·{ 
58 ·59·return·18; 
59 ·60·} 
60 ·61 
61 68·inline·void·evaluateFunction(const·typename·Traits::DomainType&·in, 
62 ·69·std::vector<typename·Traits::RangeType>&·out)·const 
63 ·70·{ 
64 ·71·out.resize(size()); 
65 ·72 
66 ·73·out[0][0]·=·sign_[0]·*·(in[0]·-·1.0); 
67 ·74·out[0][1]·=·0; 
68 ·75·out[0][2]·=·0; 
69 ·76·out[1][0]·=·sign_[1]·*·in[0]; 
70 ·77·out[1][1]·=·0; 
71 ·78·out[1][2]·=·0; 
72 ·79·out[2][0]·=·0; 
73 ·80·out[2][1]·=·sign_[2]·*·(in[1]·-·1.0); 
74 ·81·out[2][2]·=·0; 
75 ·82·out[3][0]·=·0; 
76 ·83·out[3][1]·=·sign_[3]·*·in[1]; 
77 ·84·out[3][2]·=·0; 
78 ·85·out[4][0]·=·0; 
79 ·86·out[4][1]·=·0; 
80 ·87·out[4][2]·=·sign_[4]·*·(in[2]·-·1.0); 
81 ·88·out[5][0]·=·0; 
82 ·89·out[5][1]·=·0; 
83 ·90·out[5][2]·=·sign_[5]·*·in[2]; 
84 ·91·out[6][0]·=·6.0·*·in[0]·*·in[1]·-·3·*·in[0]-6·*·in[1]·+·3.0; 
85 ·92·out[6][1]·=·-3.0·*·in[1]·*·in[1]·+·3·*·in[1]; 
86 ·93·out[6][2]·=·0; 
87 ·94·out[7][0]·=·-6.0·*·in[0]·*·in[1]·+·3·*·in[0]; 
88 ·95·out[7][1]·=·3.0·*·in[1]·*·in[1]·-·3·*·in[1]; 
89 ·96·out[7][2]·=·0; 
90 ·97·out[8][0]·=·3.0·*·in[0]·*·in[0]·-·3·*·in[0]; 
91 ·98·out[8][1]·=·-6.0·*·in[0]·*·in[1]·+·3·*·in[1]+6·*·in[0]-3.0; 
92 ·99·out[8][2]·=·0; 
93 ·100·out[9][0]·=·-3.0·*·in[0]·*·in[0]·+·3·*·in[0]; 
94 ·101·out[9][1]·=·6.0·*·in[0]·*·in[1]·-·3·*·in[1]; 
95 ·102·out[9][2]·=·0; 
96 ·103·out[10][0]·=·-3.0·*·in[0]·*·in[0]·+·3·*·in[0]; 
97 ·104·out[10][1]·=·0; 
98 ·105·out[10][2]·=·6.0·*·in[0]·*·in[2]-6·*·in[0]-3·*·in[2]·+·3.0; 
99 ·106·out[11][0]·=·3.0·*·in[0]·*·in[0]-3·*·in[0]; 
100 ·107·out[11][1]·=·0; 
101 ·108·out[11][2]·=·-6.0·*·in[0]·*·in[2]·+·3·*·in[2]; 
102 ·109·out[12][0]·=·-6.0·*·in[0]·*·in[2]+6·*·in[2]·+·3·*·in[0]-3.0; 
103 ·110·out[12][1]·=·0; 
104 ·111·out[12][2]·=·3.0·*·in[2]·*·in[2]-3·*·in[2]; 
105 ·112·out[13][0]·=·-3·*·in[0]+6·*·in[0]·*·in[2]; 
106 ·113·out[13][1]·=·0; 
107 ·114·out[13][2]·=·-3.0·*·in[2]·*·in[2]·+·3·*·in[2]; 
108 ·115·out[14][0]·=·0; 
109 ·116·out[14][1]·=·6.0·*·in[1]·*·in[2]-3·*·in[1]-6·*·in[2]·+·3.0; 
110 ·117·out[14][2]·=·-3·*·in[2]·*·in[2]·+·3·*·in[2]; 
111 ·118·out[15][0]·=·0; 
112 ·119·out[15][1]·=·-6.0·*·in[1]·*·in[2]·+·3·*·in[1]; 
113 ·120·out[15][2]·=·3.0·*·in[2]·*·in[2]-3·*·in[2]; 
114 ·121·out[16][0]·=·0; 
115 ·122·out[16][1]·=·3.0·*·in[1]·*·in[1]-3·*·in[1]; 
116 ·123·out[16][2]·=·-6.0·*·in[1]·*·in[2]·+·3·*·in[2]+6·*·in[1]-3.0; 
117 ·124·out[17][0]·=·0; 
118 ·125·out[17][1]·=·-3.0·*·in[1]·*·in[1]·+·3·*·in[1]; 
119 ·126·out[17][2]·=·6.0·*·in[1]·*·in[2]·-·3.0·*·in[2]; 
120 ·127·} 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 Namespaces·|·Typedefs
 14 p23d.hh·File·Reference
 15 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
12 ····*·brezzidouglasmarini 
13 Classes·|·Namespaces 
14 brezzidouglasmarinisimplex.hh·File·Reference 
15 #include·<dune/localfunctions/brezzidouglasmarini/ 
16 brezzidouglasmarini1simplex2d.hh> 
17 #include·<dune/localfunctions/brezzidouglasmarini/ 
18 brezzidouglasmarini2simplex2d.hh> 
19 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
20 ·Classes 
21 class· Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_1_> 
22  ······Brezzi-Douglas-Marini·local·finite·elements·for·simplices·with 
23 ········dimension·2·and·order·1.·More... 
24   
25 class· Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_2_> 
26  ······Brezzi-Douglas-Marini·local·finite·elements·for·simplices·with 
27 ········dimension·2·and·order·2.·More... 
28   
29 ·Namespaces17 ·Namespaces
30 namespace· Dune18 namespace· Dune
31  19  
 20 ·Typedefs
 21 template<class·D·,·class·R·>
 22 using Dune::P23DLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,
 23 ·······3,·2·>
 24  ·····Second-order·Lagrange·local·finite·element·on·the·reference·tetrahedron.
  
 25  
  
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·brezzidouglasmarini 
13 brezzidouglasmarinisimplex.hh12 ····*·lagrange
 13 p23d.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINISIMPLEX_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINISIMPLEX_HH20 ·5#ifndef·DUNE_P2_3DLOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_P2_3DLOCALFINITEELEMENT_HH
22 ·722 ·7
 23 ·8#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 24 ·9
 25 ·10#warning·This·header·is·deprecated
23 ·8#include·<dune/localfunctions/brezzidouglasmarini/ 
24 brezzidouglasmarini1simplex2d.hh> 
25 ·9#include·<dune/localfunctions/brezzidouglasmarini/ 
26 brezzidouglasmarini2simplex2d.hh> 
27 ·10 
28 ·1126 ·11
29 ·12namespace·Dune27 ·12namespace·Dune
30 ·13{28 ·13{
 29 ·14
31 ·22·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order> 
32 23·class·BrezziDouglasMariniSimplexLocalFiniteElement; 
33 ·24 
34 ·28·template<class·D,·class·R>30 ·22·template<class·D,·class·R>
 31 23·using·P23DLocalFiniteElement
 32 ·24·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
 33 ·25·=·LagrangeSimplexLocalFiniteElement<D,R,3,2>;
 34 ·26
 35 ·27}
 36 ·28
 37 ·29#endif
 38 lagrangesimplex.hh
35 29·class·BrezziDouglasMariniSimplexLocalFiniteElement<D,·R,·2,·1> 
36 ·30·:·public·BDM1Simplex2DLocalFiniteElement<D,·R> 
37 ·31·{ 
38 ·32·public: 
39 34·BrezziDouglasMariniSimplexLocalFiniteElement() 
40 ·35·{} 
41 ·36 
42 42·BrezziDouglasMariniSimplexLocalFiniteElement(int·s) 
43 ·43·:·BDM1Simplex2DLocalFiniteElement<D,·R>::BDM1Simplex2DLocalFiniteElement(s) 
44 ·44·{} 
45 ·45·}; 
46 ·46 
47 ·50·template<class·D,·class·R> 
48 51·class·BrezziDouglasMariniSimplexLocalFiniteElement<D,·R,·2,·2> 
49 ·52·:·public·BDM2Simplex2DLocalFiniteElement<D,·R> 
50 ·53·{ 
51 ·54·public: 
52 56·BrezziDouglasMariniSimplexLocalFiniteElement() 
53 ·57·{} 
54 ·58 
55 64·BrezziDouglasMariniSimplexLocalFiniteElement(int·s) 
56 ·65·:·BDM2Simplex2DLocalFiniteElement<D,·R>::BDM2Simplex2DLocalFiniteElement(s) 
57 ·66·{} 
58 ·67·}; 
59 ·68 
60 ·69}·//·namespace·Dune 
61 ·70 
62 ·71#endif·//·#ifndef 
63 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINISIMPLEX_HH 
64 brezzidouglasmarini2simplex2d.hh 
65 brezzidouglasmarini1simplex2d.hh 
66 Dune39 Dune
67 Definition·bdfmcube.hh:1840 Definition·bdfmcube.hh:18
68 Dune::BDM1Simplex2DLocalFiniteElement41 Dune::LagrangeSimplexLocalFiniteElement
 42 Lagrange·finite·element·for·simplices·with·arbitrary·compile-time·dimension·and
 43 polynomial·order.
 44 Definition·lagrangesimplex.hh:838
69 First·order·Brezzi-Douglas-Marini·shape·functions·on·triangles. 
70 Definition·brezzidouglasmarini1simplex2d.hh:28 
71 Dune::BDM2Simplex2DLocalFiniteElement 
72 Second·order·Brezzi-Douglas-Marini·shape·functions·on·triangles. 
73 Definition·brezzidouglasmarini2simplex2d.hh:27 
74 Dune::BrezziDouglasMariniSimplexLocalFiniteElement 
75 Brezzi-Douglas-Marini·local·finite·element·for·simplices. 
76 Definition·brezzidouglasmarinisimplex.hh:23 
77 Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_1_>:: 
78 BrezziDouglasMariniSimplexLocalFiniteElement 
79 BrezziDouglasMariniSimplexLocalFiniteElement(int·s) 
80 Constructor·with·a·set·of·edge·orientations. 
81 Definition·brezzidouglasmarinisimplex.hh:42 
82 Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_1_>:: 
83 BrezziDouglasMariniSimplexLocalFiniteElement 
84 BrezziDouglasMariniSimplexLocalFiniteElement() 
85 Default·constructor. 
86 Definition·brezzidouglasmarinisimplex.hh:34 
87 Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_2_>:: 
88 BrezziDouglasMariniSimplexLocalFiniteElement 
89 BrezziDouglasMariniSimplexLocalFiniteElement(int·s) 
90 Constructor·with·a·set·of·edge·orientations. 
91 Definition·brezzidouglasmarinisimplex.hh:64 
92 Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_2_>:: 
93 BrezziDouglasMariniSimplexLocalFiniteElement 
94 BrezziDouglasMariniSimplexLocalFiniteElement() 
95 Default·constructor. 
96 Definition·brezzidouglasmarinisimplex.hh:56 
  
97 ===============================================================================45 ===============================================================================
98 ·····Generated·by [doxygen]·1.9.846 ·····Generated·by [doxygen]·1.9.8
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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 13 Namespaces·|·Typedefs
 14 prismp2.hh·File·Reference
 15 #include·<dune/localfunctions/lagrange/lagrangeprism.hh>
12 ····*·brezzidouglasmarini 
13 Classes·|·Namespaces 
14 brezzidouglasmarini1simplex2d.hh·File·Reference 
15 #include·<dune/geometry/type.hh> 
16 #include·"../common/localfiniteelementtraits.hh" 
17 #include·"brezzidouglasmarini1simplex2d/ 
18 brezzidouglasmarini1simplex2dlocalbasis.hh" 
19 #include·"brezzidouglasmarini1simplex2d/ 
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21 #include·"brezzidouglasmarini1simplex2d/ 
22 brezzidouglasmarini1simplex2dlocalinterpolation.hh" 
23 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
24 ·Classes 
25 class· Dune::BDM1Simplex2DLocalFiniteElement<_D,_R_> 
26  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·triangles.·More... 
27   
28 ·Namespaces17 ·Namespaces
29 namespace· Dune18 namespace· Dune
30  19  
 20 ·Typedefs
 21 template<class·D·,·class·R·>
 22 using Dune::PrismP2LocalFiniteElement·=·LagrangePrismLocalFiniteElement<·D,·R,
 23 ·······2·>
 24  ·····Second-order·Lagrange·finite·element·on·a·three-dimensional·prism.
 25  
  
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13 brezzidouglasmarini1simplex2d.hh12 ····*·lagrange
 13 prismp2.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·DUNE_PRISM2_3DLOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_PRISM2_3DLOCALFINITEELEMENT_HH
20 ·5#ifndef 
21 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALFINITEELEMENT_HH 
22 ·6#define 
23 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALFINITEELEMENT_HH 
24 ·722 ·7
25 ·8#include·<dune/geometry/type.hh>23 ·8#include·<dune/localfunctions/lagrange/lagrangeprism.hh>
26 ·924 ·9
 25 ·10#warning·This·header·is·deprecated
 26 ·11
 27 ·12namespace·Dune
 28 ·13{
27 ·10#include·"../common/localfiniteelementtraits.hh" 
28 ·11#include·"brezzidouglasmarini1simplex2d/ 
29 brezzidouglasmarini1simplex2dlocalbasis.hh" 
30 ·12#include·"brezzidouglasmarini1simplex2d/ 
31 brezzidouglasmarini1simplex2dlocalcoefficients.hh" 
32 ·13#include·"brezzidouglasmarini1simplex2d/ 
33 brezzidouglasmarini1simplex2dlocalinterpolation.hh" 
34 ·1429 ·14
35 ·15namespace·Dune 
36 ·16{ 
37 ·17 
38 ·26·template<class·D,·class·R>30 ·19·template<class·D,·class·R>
 31 20·using·PrismP2LocalFiniteElement
 32 ·21·[[deprecated("use·LagrangePrismLocalFiniteElement·instead")]]
 33 ·22·=·LagrangePrismLocalFiniteElement<D,R,2>;
 34 ·23
 35 ·24}
 36 ·25
39 27·class·BDM1Simplex2DLocalFiniteElement 
40 ·28·{ 
41 ·29 
42 ·30·public: 
43 ·31·typedef·LocalFiniteElementTraits< 
44 ·32·BDM1Simplex2DLocalBasis<D,R>, 
45 ·33·BDM1Simplex2DLocalCoefficients, 
46 34·BDM1Simplex2DLocalInterpolation<BDM1Simplex2DLocalBasis<D,R>·>·>·Traits; 
47 ·35 
48 37·BDM1Simplex2DLocalFiniteElement·() 
49 ·38·{} 
50 ·39 
51 45·BDM1Simplex2DLocalFiniteElement·(int·s)·: 
52 ·46·basis(s), 
53 ·47·interpolation(s) 
54 ·48·{} 
55 ·49 
56 50·const·typename·Traits::LocalBasisType&·localBasis·()·const 
57 ·51·{ 
58 ·52·return·basis; 
59 ·53·} 
60 ·54 
61 55·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
62 ·56·{ 
63 ·57·return·coefficients; 
64 ·58·} 
65 ·59 
66 60·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
67 ·61·{ 
68 ·62·return·interpolation; 
69 ·63·} 
70 ·64 
71 66·unsigned·int·size·()·const 
72 ·67·{ 
73 ·68·return·basis.size(); 
74 ·69·} 
75 ·70 
76 71·static·constexpr·GeometryType·type·() 
77 ·72·{ 
78 ·73·return·GeometryTypes::triangle; 
79 ·74·} 
80 ·75 
81 ·76·private: 
82 ·77·BDM1Simplex2DLocalBasis<D,R>·basis; 
83 ·78·BDM1Simplex2DLocalCoefficients·coefficients; 
84 ·79·BDM1Simplex2DLocalInterpolation<BDM1Simplex2DLocalBasis<D,R>·> 
85 interpolation; 
86 ·80·}; 
87 ·81} 
88 ·82#endif·/37 ·26#endif
 38 lagrangeprism.hh
89 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALFINITEELEMENT_HH 
90 brezzidouglasmarini1simplex2dlocalbasis.hh 
91 brezzidouglasmarini1simplex2dlocalinterpolation.hh 
92 brezzidouglasmarini1simplex2dlocalcoefficients.hh 
93 Dune39 Dune
94 Definition·bdfmcube.hh:1840 Definition·bdfmcube.hh:18
 41 Dune::LagrangePrismLocalFiniteElement
 42 Lagrange·finite·element·for·3d·prisms·with·arbitrary·compile-time·polynomial
 43 order.
 44 Definition·lagrangeprism.hh:652
95 Dune::BDM1Simplex2DLocalFiniteElement 
96 First·order·Brezzi-Douglas-Marini·shape·functions·on·triangles. 
97 Definition·brezzidouglasmarini1simplex2d.hh:28 
98 Dune::BDM1Simplex2DLocalFiniteElement::localBasis 
99 const·Traits::LocalBasisType·&·localBasis()·const 
100 Definition·brezzidouglasmarini1simplex2d.hh:50 
101 Dune::BDM1Simplex2DLocalFiniteElement::localCoefficients 
102 const·Traits::LocalCoefficientsType·&·localCoefficients()·const 
103 Definition·brezzidouglasmarini1simplex2d.hh:55 
104 Dune::BDM1Simplex2DLocalFiniteElement::type 
105 static·constexpr·GeometryType·type() 
106 Definition·brezzidouglasmarini1simplex2d.hh:71 
107 Dune::BDM1Simplex2DLocalFiniteElement::BDM1Simplex2DLocalFiniteElement 
108 BDM1Simplex2DLocalFiniteElement() 
109 Standard·constructor. 
110 Definition·brezzidouglasmarini1simplex2d.hh:37 
111 Dune::BDM1Simplex2DLocalFiniteElement::localInterpolation 
112 const·Traits::LocalInterpolationType·&·localInterpolation()·const 
113 Definition·brezzidouglasmarini1simplex2d.hh:60 
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 Namespaces·|·Typedefs
 14 p2.hh·File·Reference
 15 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
12 ····*·common 
13 Classes·|·Namespaces 
14 interfaceswitch.hh·File·Reference 
15 #include·<cstddef> 
16 #include·<memory> 
17 #include·<vector> 
18 #include·<dune/common/fmatrix.hh> 
19 #include·<dune/common/typetraits.hh> 
20 #include·<dune/common/shared_ptr.hh> 
21 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
22 ·Classes 
23 struct· Dune::FiniteElementInterfaceSwitch<_FiniteElement,_Dummy_> 
24  ·······Switch·for·uniform·treatment·of·finite·element·with·either·the·local 
25 ·········or·the·global·interface.·More... 
26   
27 struct· Dune::BasisInterfaceSwitch<_Basis,_Dummy_> 
28  ·······Switch·for·uniform·treatment·of·local·and·global·basis·classes. 
29 ·········More... 
30   
31 ·Namespaces17 ·Namespaces
32 namespace· Dune18 namespace· Dune
33  19  
 20 ·Typedefs
 21 template<class·D·,·class·R·,·int·d>
 22 using Dune::P2LocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,·d,
 23 ·······2·>
 24  ·····Second-order·Lagrange·finite·element·on·the·reference·simplex·with
 25 ·······compile-time·dimension.
 26  
  
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common 
13 interfaceswitch.hh12 ····*·lagrange
 13 p2.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·DUNE_P2_LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_P2_LOCALFINITEELEMENT_HH
 22 ·7
 23 ·8#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 24 ·9
 25 ·10#warning·This·header·is·deprecated
 26 ·11
20 ·5 
21 ·6#ifndef·DUNE_LOCALFUNCTIONS_COMMON_INTERFACESWITCH_HH 
22 ·7#define·DUNE_LOCALFUNCTIONS_COMMON_INTERFACESWITCH_HH 
23 ·8 
24 ·9#include·<cstddef> 
25 ·10#include·<memory> 
26 ·11#include·<vector> 
27 ·12 
28 ·13#include·<dune/common/fmatrix.hh> 
29 ·14#include·<dune/common/typetraits.hh> 
30 ·15#include·<dune/common/shared_ptr.hh> 
31 ·16 
32 ·17namespace·Dune·{27 ·12namespace·Dune
33 ·18 
34 ·21 
35 ·29·template<class·FiniteElement,·class·Dummy·=·void> 
36 30·struct·FiniteElementInterfaceSwitch·{ 
37 32·typedef·typename·FiniteElement::Traits::Basis·Basis; 
38 34·typedef·typename·FiniteElement::Traits::Interpolation·Interpolation; 
39 36·typedef·typename·FiniteElement::Traits::Coefficients·Coefficients; 
40 ·37 
41 39·static·const·Basis·&basis(const·FiniteElement&·fe) 
42 ·40·{·return·fe.basis();·} 
43 42·static·const·Interpolation·&interpolation(const·FiniteElement&·fe) 
44 ·43·{·return·fe.interpolation();·} 
45 45·static·const·Coefficients·&coefficients(const·FiniteElement&·fe) 
46 ·46·{·return·fe.coefficients();·} 
47 ·47 
48 ·49 
49 78·typedef·std::shared_ptr<const·FiniteElement>·Store; 
50 ·80 
51 85·static·void·setStore(Store&·store,·const·FiniteElement&·fe) 
52 ·86·{·store·=·std::make_shared<const·FiniteElement>(fe);·} 
53 88·static·void·setStore(Store&·store,·FiniteElement&&·fe) 
54 ·89·{·store·=·std::make_shared<const·FiniteElement>(std::move(fe));·} 
55 91·static·void·setStore(Store&·store,·const·Store&·fe) 
56 ·92·{·store·=·fe;·} 
57 ·93·}; 
58 ·94 
59 ·95#ifndef·DOXYGEN 
60 ·98·template<class·FiniteElement> 
61 ·99·struct·FiniteElementInterfaceSwitch< 
62 ·100·FiniteElement, 
63 ·101·typename·std::enable_if<AlwaysTrue<typename·FiniteElement::Traits:: 
64 ·102·LocalBasisType>::value>::type 
65 ·103·> 
66 ·104·{ 
67 ·106·typedef·typename·FiniteElement::Traits::LocalBasisType·Basis; 
68 ·108·typedef·typename·FiniteElement::Traits::LocalInterpolationType 
69 ·109·Interpolation; 
70 ·111·typedef·typename·FiniteElement::Traits::LocalCoefficientsType 
71 Coefficients; 
72 ·112 
73 ·114·static·const·Basis·&basis(const·FiniteElement&·fe) 
74 ·115·{·return·fe.localBasis();·} 
75 ·117·static·const·Interpolation·&interpolation(const·FiniteElement&·fe) 
76 ·118·{·return·fe.localInterpolation();·} 
77 ·120·static·const·Coefficients·&coefficients(const·FiniteElement&·fe) 
78 ·121·{·return·fe.localCoefficients();·} 
79 ·122 
80 ·124·typedef·std::shared_ptr<const·FiniteElement>·Store; 
81 ·126·static·void·setStore(Store&·store,·const·FiniteElement&·fe) 
82 ·127·{·store·=·stackobject_to_shared_ptr<const·FiniteElement>(fe);·} 
83 ·129·static·void·setStore(Store&·store,·FiniteElement&&·fe) 
84 ·130·{·store·=·std::make_shared<const·FiniteElement>(std::move(fe));·} 
85 ·132·static·void·setStore(Store&·store,·const·Store&·fe) 
86 ·133·{·store·=·fe;·} 
87 ·134·}; 
88 ·135#endif·//·!DOXYGEN 
89 ·13628 ·13{
 29 ·14
 30 ·19·template<class·D,·class·R,·int·d>
 31 20·using·P2LocalFiniteElement
 32 ·21·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
 33 ·22·=·LagrangeSimplexLocalFiniteElement<D,R,d,2>;
90 ·138 
91 ·153·template<class·Basis,·class·Dummy·=·void> 
92 154·struct·BasisInterfaceSwitch·{ 
93 156·typedef·typename·Basis::Traits::DomainField·DomainField; 
94 158·static·const·std::size_t·dimDomainLocal·=·Basis::Traits::dimDomainLocal; 
95 160·typedef·typename·Basis::Traits::DomainLocal·DomainLocal; 
96 ·161 
97 163·typedef·typename·Basis::Traits::RangeField·RangeField; 
98 165·static·const·std::size_t·dimRange·=·Basis::Traits::dimRange; 
99 167·typedef·typename·Basis::Traits::Range·Range; 
100 ·168 
101 ·170 
102 ·180·template<typename·Geometry> 
103 181·static·void·gradient(const·Basis&·basis,·const·Geometry&·geometry, 
104 ·182·const·DomainLocal&·xl, 
105 ·183·std::vector<FieldMatrix<RangeField,·1, 
106 ·184·Geometry::coorddimension>·>&·grad) 
107 ·185·{ 
108 ·186·grad.resize(basis.size()); 
109 ·187·basis.evaluateJacobian(xl,·grad); 
110 ·188·} 
111 ·189·}; 
112 ·190 
113 ·191#ifndef·DOXYGEN 
114 ·193·template<class·Basis> 
115 ·194·struct·BasisInterfaceSwitch<Basis, 
116 ·195·typename·std::enable_if< 
117 ·196·AlwaysTrue< 
118 ·197·std::integral_constant< 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common12 ····*·lagrange
13 Classes·|·Namespaces13 Classes·|·Namespaces
 14 lagrangecoefficients.hh·File·Reference
14 interface.hh·File·Reference 
15 #include·<array> 
16 #include·<cstddef> 
17 #include·<vector>15 #include·<vector>
 16 #include·<dune/common/fvector.hh>
18 #include·<dune/geometry/type.hh>17 #include·<dune/geometry/type.hh>
 18 #include·<dune/localfunctions/utility/field.hh>
19 #include·<dune/localfunctions/common/localkey.hh>19 #include·<dune/localfunctions/common/localkey.hh>
20 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
21 ·Classes21 ·Classes
 22 struct· Dune::LagrangeCoefficientsFactory<_LP,_dim,_F_>
22 ·class· Dune::FiniteElementInterface 
23  ·······Interface·for·global-valued·finite·elements.·More... 
24   
25 struct· Dune::FiniteElementInterface::Traits 
26  ·······types·of·component·objects·More... 
27   
28 ·class· Dune::FiniteElementFactoryInterface<_Geometry,_VertexOrder_> 
29  ·······Factory·interface·for·global-valued·finite·elements.·More... 
30   
31 ·class· Dune::BasisInterface 
32  ·······Interface·for·global-valued·shape·functions.·More... 
33   
34 struct· Dune::BasisInterface::Traits 
35  ·······types·of·domain·and·range·More... 
36   
37 struct· Dune::InterpolationInterface 
38  ·······Interface·for·global-valued·interpolation.·More... 
39   
40 struct· Dune::CoefficientsInterface 
41  ·······Interface·for·global-valued·coefficients.·More... 
42  23  
43 ·Namespaces24 ·Namespaces
44 namespace· Dune25 namespace· Dune
45  26  
  
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common 
13 interface.hh12 ····*·lagrange
 13 lagrangecoefficients.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·DUNE_LAGRANGECOEFFICIENTS_HH
 21 ·6#define·DUNE_LAGRANGECOEFFICIENTS_HH
 22 ·7
20 ·5 
21 ·6#ifndef·DUNE_LOCALFUNCTIONS_INTERFACE_HH 
22 ·7#define·DUNE_LOCALFUNCTIONS_INTERFACE_HH 
23 ·8 
24 ·9#ifndef·HEADERCHECK 
25 ·10#error·This·header·exists·for·documentation·purposes·only·and·should·never 
26 be·included·directly. 
27 ·11#endif 
28 ·12 
29 ·13#include·<array> 
30 ·14#include·<cstddef> 
31 ·15#include·<vector>23 ·8#include·<vector>
 24 ·9
 25 ·10#include·<dune/common/fvector.hh>
 26 ·11
 27 ·12#include·<dune/geometry/type.hh>
 28 ·13
 29 ·14#include·<dune/localfunctions/utility/field.hh>
 30 ·15#include·<dune/localfunctions/common/localkey.hh>
32 ·1631 ·16
33 ·17 
34 ·18#include·<dune/geometry/type.hh>32 ·17namespace·Dune
 33 ·18{
35 ·1934 ·19
 35 ·20·template<·template·<class,unsigned·int>·class·LP,
 36 ·21·unsigned·int·dim,·class·F>
 37 22·struct·LagrangeCoefficientsFactory
36 ·20#include·<dune/localfunctions/common/localkey.hh> 
37 ·21 
38 ·22namespace·Dune·{ 
39 ·23 
40 25·class·FiniteElementInterface 
41 ·26·{38 ·23·{
42 ·27·struct·ImplementationDefined; 
43 ·28 
44 ·29·public: 
45 ·31 
46 34·struct·Traits39 24·static·const·unsigned·int·dimension·=·dim;
 40 25·const·typedef·LP<F,dim>·Object;
 41 26·typedef·std::size_t·Key;
 42 ·27
 43 ·28·template<·GeometryType::Id·geometryId·>
 44 29·static·Object·*create·(·const·Key·&order·)
47 ·35·{45 ·30·{
48 ·37 
49 42·typedef·ImplementationDefined·Basis;46 ·31·if·(order·==·0·||·!Object::template·supports<geometryId>(order))
 47 ·32·return·0;
 48 ·33·typedef·typename·std::remove_const<Object>::type·LagrangeCoefficients;
 49 ·34·LagrangeCoefficients·*object·=·new·LagrangeCoefficients(order);
 50 ·35·if·(·!object->template·build<geometryId>()·)
 51 ·36·{
 52 ·37·delete·object;
 53 ·38·object·=·nullptr;
 54 ·39·}
 55 ·40·return·object;
 56 ·41·}
 57 42·static·void·release(·Object·*object·)·{·delete·object;·}
 58 ·43·};
50 ·4459 ·44
 60 ·45}
 61 ·46
 62 ·47#endif·//·DUNE_LAGRANGECOEFFICIENTS_HH
51 49·typedef·ImplementationDefined·Coefficients; 
52 ·51 
53 56·typedef·ImplementationDefined·Interpolation; 
54 ·57·}; 
55 ·58 
56 ·60 
57 67·FiniteElementInterface(...); 
58 69·FiniteElementInterface(const·FiniteElementInterface&); 
59 ·70 
60 ·72 
61 76·const·Traits::Basis&·basis()·const; 
62 ·78 
63 82·const·Traits::Coefficients&·coefficients()·const; 
64 ·84 
65 88·const·Traits::Interpolation&·interpolation()·const; 
66 90·GeometryType·type()·const; 
67 ·91·}; 
68 ·92 
69 ·94 
70 ·114·template<class·Geometry,·class·VertexOrder> 
71 115·class·FiniteElementFactoryInterface 
72 ·116·{ 
73 ·117·struct·ImplementationDefined; 
74 ·118 
75 ·119·public: 
76 ·121 
77 126·typedef·ImplementationDefined·FiniteElement; 
78 ·127 
79 ·129 
80 132·FiniteElementFactoryInterface(...); 
81 ·133 
82 ·154 
83 156·const·FiniteElement·make(const·Geometry&,·const·VertexOrder&,·...); 
84 158·const·FiniteElement·make(const·Geometry&,·...); 
85 160·const·FiniteElement·make(const·VertexOrder&,·...); 
86 ·162 
87 166·const·FiniteElement·make(const·GeometryType&,·...); 
88 168·const·FiniteElement·make(...); 
89 ·169 
90 ·171 
91 ·172·}; 
92 ·173 
93 175·class·BasisInterface 
94 ·176·{ 
95 ·177·struct·ImplementationDefined; 
96 ·178·constexpr·static·int·implementationDefined·=·42; 
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14 localfiniteelementtraits.hh·File·Reference12 ····*·lagrange
 13 Namespaces·|·Typedefs
 14 prismp1.hh·File·Reference
 15 #include·<dune/localfunctions/lagrange/lagrangeprism.hh>
15 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
16 ·Classes 
17 struct· Dune::LocalFiniteElementTraits<_LB,_LC,_LI_> 
18  ·······traits·helper·struct·More... 
19   
20 ·Namespaces17 ·Namespaces
21 namespace· Dune18 namespace· Dune
22  19  
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 24  ·····First-order·Lagrangian·finite·element·on·a·prism.
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 13 prismp1.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFINITEELEMENTTRAITS_HH20 ·5#ifndef·DUNE_P13DLOCALFINITEELEMENT_HH
21 ·6#define·DUNE_LOCALFINITEELEMENTTRAITS_HH21 ·6#define·DUNE_P13DLOCALFINITEELEMENT_HH
22 ·722 ·7
23 ·8namespace·Dune·{23 ·8#include·<dune/localfunctions/lagrange/lagrangeprism.hh>
24 ·924 ·9
25 ·11·template<class·LB,·class·LC,·class·LI> 
26 12·struct·LocalFiniteElementTraits25 ·10#warning·This·header·is·deprecated
 26 ·11
 27 ·12namespace·Dune
27 ·13·{28 ·13{
 29 ·14
 30 ·19·template<class·D,·class·R>
 31 20·using·PrismP1LocalFiniteElement
 32 ·21·[[deprecated("use·LagrangePrismLocalFiniteElement·instead")]]
 33 ·22·=·LagrangePrismLocalFiniteElement<D,R,1>;
 34 ·23
28 16·typedef·LB·LocalBasisType; 
29 ·17 
30 20·typedef·LC·LocalCoefficientsType; 
31 ·21 
32 24·typedef·LI·LocalInterpolationType; 
33 ·25·}; 
34 ·26 
35 ·27}35 ·24}
36 ·2836 ·25
37 ·29#endif37 ·26#endif
 38 lagrangeprism.hh
38 Dune39 Dune
39 Definition·bdfmcube.hh:1840 Definition·bdfmcube.hh:18
 41 Dune::LagrangePrismLocalFiniteElement
 42 Lagrange·finite·element·for·3d·prisms·with·arbitrary·compile-time·polynomial
 43 order.
 44 Definition·lagrangeprism.hh:652
40 Dune::LocalFiniteElementTraits 
41 traits·helper·struct 
42 Definition·localfiniteelementtraits.hh:13 
43 Dune::LocalFiniteElementTraits::LocalBasisType 
44 LB·LocalBasisType 
45 Definition·localfiniteelementtraits.hh:16 
46 Dune::LocalFiniteElementTraits::LocalCoefficientsType 
47 LC·LocalCoefficientsType 
48 Definition·localfiniteelementtraits.hh:20 
49 Dune::LocalFiniteElementTraits::LocalInterpolationType 
50 LI·LocalInterpolationType 
51 Definition·localfiniteelementtraits.hh:24 
  
52 ===============================================================================45 ===============================================================================
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common12 ····*·lagrange
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 virtualwrappers.hh·File·Reference 
15 #include·<array> 
16 #include·<dune/localfunctions/common/localbasis.hh>14 emptypoints.hh·File·Reference
 15 #include·<vector>
 16 #include·<dune/common/fvector.hh>
17 #include·<dune/localfunctions/common/localkey.hh>17 #include·<dune/localfunctions/common/localkey.hh>
18 #include·<dune/localfunctions/common/virtualinterface.hh> 
19 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
20 ·Classes19 ·Classes
21 struct· Dune::LocalFiniteElementCloneFactoryHelper<_Imp,_IsInterface_>20 class· Dune::LagrangePoint<_F,_dim_>
22  21  
 22 class· Dune::EmptyPointSet<_F,_dim_>
23 struct· Dune::LocalFiniteElementCloneFactory<_Imp_> 
24   
25 ·class· Dune::LocalBasisVirtualImp<_T,_Imp_> 
26  ·······class·for·wrapping·a·basis·using·the·virtual·interface·More... 
27   
28 ·class· Dune::LocalInterpolationVirtualImp<_DomainType,_RangeType,_Imp_> 
29  ·······class·for·wrapping·a·local·interpolation·using·the·virtual·interface 
30 ·········More... 
31   
32 ·class· Dune::LocalCoefficientsVirtualImp<_Imp_> 
33  ·······class·for·wrapping·local·coefficients·using·the·virtual·interface 
34 ·········More... 
35   
36 ·class· Dune::LocalFiniteElementVirtualImp<_Imp_> 
37  ·······class·for·wrapping·a·finite·element·using·the·virtual·interface 
38 ·········More... 
39  23  
40 ·Namespaces24 ·Namespaces
41 namespace· Dune25 namespace· Dune
42  26  
  
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common 
13 virtualwrappers.hh12 ····*·lagrange
 13 emptypoints.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_COMMON_VIRTUALWRAPPERS_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_COMMON_VIRTUALWRAPPERS_HH20 ·5#ifndef·DUNE_LAGRANGE_EMPTYPOINTS_HH
 21 ·6#define·DUNE_LAGRANGE_EMPTYPOINTS_HH
22 ·722 ·7
23 ·8#include·<array>23 ·8#include·<vector>
24 ·924 ·9
25 ·10#include·<dune/localfunctions/common/localbasis.hh>25 ·10#include·<dune/common/fvector.hh>
26 ·11#include·<dune/localfunctions/common/localkey.hh>26 ·11#include·<dune/localfunctions/common/localkey.hh>
 27 ·12
27 ·12#include·<dune/localfunctions/common/virtualinterface.hh> 
28 ·13 
29 ·14namespace·Dune28 ·13namespace·Dune
 29 ·14{
30 ·15{30 ·15
31 ·16 
32 ·17·//·forward·declaration·needed·by·friend·declarations 
33 ·18·template<class·Imp> 
34 ·19·class·LocalFiniteElementVirtualImp;31 ·16·template<·class·F,·unsigned·int·dim·>
 32 17·class·LagrangePoint
 33 ·18·{
 34 ·19·typedef·LagrangePoint<_F,_dim_>·This;
35 ·2035 ·20
36 ·21·//·default·clone·method·is·the·copy·constructor 
37 ·22·template<class·Imp,·bool·IsInterface> 
38 23·struct·LocalFiniteElementCloneFactoryHelper 
39 ·24·{ 
40 25·static·Imp*·clone(const·Imp&·imp)36 ·21·template<·class,·class·>
 37 22·friend·class·LagrangePointSetImpl;
 38 ·23
 39 ·24·public:
 40 25·static·const·int·dimension·=·dim;
41 ·26·{41 ·26
42 ·27·return·new·Imp(imp);42 27·typedef·F·Field;
43 ·28·}43 ·28
44 ·29·};44 29·typedef·FieldVector<·Field,·dimension·>·Vector;
45 ·3045 ·30
 46 31·const·Vector·&point·()·const
46 ·31·//·if·FE·derives·from·virtual·interface·the·clone·method·is·used 
47 ·32·template<class·Imp> 
48 ·33·struct·LocalFiniteElementCloneFactoryHelper<Imp,·true> 
49 ·34·{47 ·32·{
 48 ·33·return·point_;
50 ·35·static·Imp*·clone(const·Imp&·imp) 
51 ·36·{ 
52 ·37·return·imp.clone(); 
53 ·38·}49 ·34·}
 50 ·35
 51 36·const·LocalKey·&localKey·()·const
 52 ·37·{
 53 ·38·return·localKey_;
54 ·39·};54 ·39·}
55 ·4055 ·40
 56 41·const·Field·weight·()·const
56 ·41·//·factory·template·to·clone·and·create·an·objects 
57 ·42·template<class·Imp> 
58 43·struct·LocalFiniteElementCloneFactory 
59 ·44·{57 ·42·{
60 45·typedef·LocalFiniteElementVirtualInterface<typename_Imp::Traits:: 
61 LocalBasisType::Traits>·Interface; 
62 ·46 
63 47·static·Imp*·clone(const·Imp&·imp) 
64 ·48·{ 
65 ·49·return·LocalFiniteElementCloneFactoryHelper<Imp,_std::is_base_of<Interface, 
66 Imp>::value>::clone(imp);58 ·43·return·weight_;
 59 ·44·}
 60 ·45
 61 46·Vector·point_·=·{};
 62 47·LocalKey·localKey_·=·{};
 63 48·Field·weight_·=·{};
 64 ·49·};
67 ·50·}65 ·50
68 ·51 
69 52·static·Imp*·create()66 ·51·//·EmptyPointSet
 67 ·52·//·--------------
 68 ·53
 69 ·54·template<·class·F,·unsigned·int·dim·>
 70 55·class·EmptyPointSet
70 ·53·{71 ·56·{
 72 ·57·typedef·EmptyPointSet<_F,_dim_>·This;
71 ·54·return·new·Imp; 
72 ·55·} 
73 ·56·}; 
74 ·57 
75 ·5873 ·58
76 ·59 
77 ·60·//·----------------------------------------------------------------- 
78 ·61·//·Basis 
79 ·62·//·-----------------------------------------------------------------74 ·59·public:
 75 60·typedef·F·Field;
 76 ·61
 77 62·static·const·unsigned·int·dimension·=·dim;
80 ·6378 ·63
81 ·6479 64·typedef·Dune::LagrangePoint<_Field,_dimension_>·LagrangePoint;
82 ·6580 ·65
83 ·72·template<class·T·,·class·Imp> 
84 73·class·LocalBasisVirtualImp 
85 ·74·:·public·LocalBasisVirtualInterface<T>81 66·typedef·typename·std::vector<·LagrangePoint·>::const_iterator·iterator;
 82 ·67
 83 ·68·protected:
 84 69·EmptyPointSet·(·const·std::size_t·order·)
 85 ·70·:·order_(·order·)
 86 ·71·{}
 87 ·72
 88 ·73·public:
 89 74·const·LagrangePoint·&operator[](·const·unsigned·int·i·)·const
86 ·75·{90 ·75·{
87 ·76·template<class·FEImp> 
88 77·friend·class·LocalFiniteElementVirtualImp;91 ·76·assert(·i·<·size()·);
 92 ·77·return·points_[·i·];
89 ·7893 ·78·}
90 ·79·protected: 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common12 ····*·lagrange
13 Classes·|·Namespaces13 Classes·|·Namespaces
 14 pq22d.hh·File·Reference
14 localtoglobaladaptors.hh·File·Reference 
15 #include·<cstddef> 
16 #include·<vector> 
17 #include·<dune/common/fmatrix.hh>15 #include·<dune/common/fmatrix.hh>
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/common/typetraits.hh> 
20 #include·<dune/geometry/type.hh>16 #include·<dune/localfunctions/common/localfiniteelementvariant.hh>
 17 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 18 #include·<dune/localfunctions/lagrange/lagrangecube.hh>
21 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
22 ·Classes20 ·Classes
 21 class· Dune::PQ22DLocalFiniteElement<_D,_R_>
23 struct· Dune::LocalToGlobalBasisAdaptorTraits<_LocalBasisTraits, 
24 ·········dimDomainGlobal__> 
25  ·······Traits·class·for·local-to-global·basis·adaptors.·More... 
26   
27 ·class· Dune::ScalarLocalToGlobalBasisAdaptor<_LocalBasis,_Geometry_> 
28  ·······Convert·a·simple·scalar·local·basis·into·a·global·basis.·More... 
29   
30 ·class· Dune::LocalToGlobalInterpolationAdaptor<_LocalInterpolation,_Traits__> 
31  ·······Convert·a·local·interpolation·into·a·global·interpolation.·More... 
32   
33 struct· Dune::ScalarLocalToGlobalFiniteElementAdaptor<_LocalFiniteElement, 
34 ·········Geometry_> 
35  ·······Convert·a·simple·scalar·local·finite·element·into·a·global·finite 
36 ·········element.·More... 
37   
38 struct· Dune::ScalarLocalToGlobalFiniteElementAdaptor<_LocalFiniteElement, 
39 ·········Geometry_>::Traits 
40   
41 ·class· Dune::ScalarLocalToGlobalFiniteElementAdaptorFactory< 
42 ·········LocalFiniteElement,_Geometry_> 
43  ·······Factory·for·ScalarLocalToGlobalFiniteElementAdaptor·objects.·More... 
44  22  
45 ·Namespaces23 ·Namespaces
46 namespace· Dune24 namespace· Dune
47  25  
  
48 ===============================================================================26 ===============================================================================
49 ·····Generated·by [doxygen]·1.9.827 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·localtoglobaladaptors.hh·Source·File</title>8 <title>dune-localfunctions:·pq22d.hh·Source·File</title>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common 
13 localtoglobaladaptors.hh12 ····*·lagrange
 13 pq22d.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5 
21 ·6#ifndef·DUNE_LOCALFUNCTIONS_COMMON_LOCALTOGLOBALADAPTORS_HH 
22 ·7#define·DUNE_LOCALFUNCTIONS_COMMON_LOCALTOGLOBALADAPTORS_HH 
23 ·8 
24 ·9#include·<cstddef> 
25 ·10#include·<vector>20 ·5#ifndef·DUNE_PQ22DLOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_PQ22DLOCALFINITEELEMENT_HH
 22 ·7
 23 ·8#include·<dune/common/fmatrix.hh>
 24 ·9
 25 ·10#include·<dune/localfunctions/common/localfiniteelementvariant.hh>
26 ·1126 ·11
 27 ·12#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 28 ·13#include·<dune/localfunctions/lagrange/lagrangecube.hh>
 29 ·14
27 ·12#include·<dune/common/fmatrix.hh> 
28 ·13#include·<dune/common/fvector.hh> 
29 ·14#include·<dune/common/typetraits.hh> 
30 ·15 
31 ·16#include·<dune/geometry/type.hh> 
32 ·17 
33 ·18namespace·Dune·{30 ·15namespace·Dune
 31 ·16{
 32 ·17·template<class·D,·class·R>
 33 18·class·PQ22DLocalFiniteElement
34 ·1934 ·19·{
35 ·21 
36 ·29·template<class·LocalBasisTraits,·std::size_t·dimDomainGlobal_> 
37 30·struct·LocalToGlobalBasisAdaptorTraits·{ 
38 31·typedef·typename·LocalBasisTraits::DomainFieldType·DomainField; 
39 32·static·const·std::size_t·dimDomainLocal·=·LocalBasisTraits::dimDomain; 
40 33·static·const·std::size_t·dimDomainGlobal·=·dimDomainGlobal_; 
41 34·typedef·typename·LocalBasisTraits::DomainType·DomainLocal; 
42 35·typedef·FieldVector<DomainField,·dimDomainGlobal>·DomainGlobal; 
43 ·36 
44 37·typedef·typename·LocalBasisTraits::RangeFieldType·RangeField; 
45 38·static·const·std::size_t·dimRange·=·LocalBasisTraits::dimRange; 
46 39·typedef·typename·LocalBasisTraits::RangeType·Range;35 ·20·using·LFEVariant·=
 36 LocalFiniteElementVariant<LagrangeSimplexLocalFiniteElement<D,R,2,2>,
 37 ·21·LagrangeCubeLocalFiniteElement<D,R,2,2>·>;
 38 ·22·public:
 39 23·using·Traits·=·typename·LFEVariant::Traits;
 40 ·24
 41 25·PQ22DLocalFiniteElement·(·const·GeometryType·&gt·)
 42 ·26·{
 43 ·27·if·(·gt.isTriangle()·)
 44 ·28·lfeVariant_·=·LagrangeSimplexLocalFiniteElement<D,R,2,2>();
 45 ·29·else·if·(·gt.isQuadrilateral()·)
 46 ·30·lfeVariant_·=·LagrangeCubeLocalFiniteElement<D,R,2,2>();
 47 ·31·}
 48 ·32
 49 33·PQ22DLocalFiniteElement·(·const·GeometryType·&gt,·const·std::vector<unsigned
 50 int>·vertexmap·)
 51 ·34·{
 52 ·35·if·(·gt.isTriangle()·)
 53 ·36·lfeVariant_·=·LagrangeSimplexLocalFiniteElement<D,R,2,2>(vertexmap);
 54 ·37·else·if·(·gt.isQuadrilateral()·)
 55 ·38·lfeVariant_·=·LagrangeCubeLocalFiniteElement<D,R,2,2>();
 56 ·39·}
47 ·4057 ·40
48 41·typedef·FieldMatrix<RangeField,·dimRange,·dimDomainGlobal>·Jacobian; 
49 ·42·}; 
50 ·4358 41·const·typename·Traits::LocalBasisType&·localBasis·()·const
 59 ·42·{
 60 ·43·return·lfeVariant_.localBasis();
 61 ·44·}
51 ·4562 ·45
52 ·64·template<class·LocalBasis,·class·Geometry> 
53 65·class·ScalarLocalToGlobalBasisAdaptor·{ 
54 ·66·static_assert(LocalBasis::Traits::dimRange·==·1, 
55 ·67·"ScalarLocalToGlobalBasisAdaptor·can·only·wrap·a·" 
56 ·68·"scalar·local·basis."); 
57 ·69·static_assert((std::is_same<typename·LocalBasis::Traits::DomainFieldType, 
58 ·70·typename·Geometry::ctype>::value), 
59 ·71·"ScalarLocalToGlobalBasisAdaptor:·LocalBasis·must·use·" 
60 ·72·"the·same·ctype·as·Geometry"); 
61 ·73·static_assert 
62 ·74·(·static_cast<std::size_t>(LocalBasis::Traits::dimDomain)·== 
63 ·75·static_cast<std::size_t>(Geometry::mydimension), 
64 ·76·"ScalarLocalToGlobalBasisAdaptor:·LocalBasis·domain·dimension·must·" 
65 ·77·"match·local·dimension·of·Geometry"); 
66 ·78 
67 ·79·const·LocalBasis&·localBasis; 
68 ·80·Geometry·geometry; 
69 ·81 
70 ·82·public: 
71 ·83·typedef·LocalToGlobalBasisAdaptorTraits<typename·LocalBasis::Traits, 
72 84·Geometry::coorddimension>·Traits; 
73 ·85 
74 ·87 
75 96·ScalarLocalToGlobalBasisAdaptor(const·LocalBasis&·localBasis_, 
76 ·97·const·Geometry&·geometry_)·: 
77 ·98·localBasis(localBasis_),·geometry(geometry_) 
78 ·99·{·} 
79 ·100 
80 101·std::size_t·size()·const·{·return·localBasis.size();·} 
81 ·103 
82 110·std::size_t·order()·const·{ 
83 ·111·if(geometry.affine()) 
84 ·112·//·affine·linear 
85 ·113·return·localBasis.order(); 
86 ·114·else 
87 ·115·//·assume·at·most·order·dim 
88 ·116·return·localBasis.order()·+·Traits::dimDomainGlobal·-·1; 
89 ·117·} 
90 ·118 
91 119·void·evaluateFunction(const·typename·Traits::DomainLocal&·in, 
92 ·120·std::vector<typename·Traits::Range>&·out)·const 
93 ·121·{ 
94 ·122·localBasis.evaluateFunction(in,·out); 
95 ·123·} 
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8 <title>dune-localfunctions:·localfiniteelementvariant.hh·File·Reference</title>8 <title>dune-localfunctions:·q1.hh·File·Reference</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common12 ····*·lagrange
13 Classes·|·Namespaces13 Classes·|·Namespaces·|·Typedefs
 14 q1.hh·File·Reference
14 localfiniteelementvariant.hh·File·Reference 
15 #include·<cstddef> 
16 #include·<type_traits> 
17 #include·<variant> 
18 #include·<dune/common/typeutilities.hh> 
19 #include·<dune/common/std/type_traits.hh> 
20 #include·<dune/common/overloadset.hh> 
21 #include·<dune/geometry/type.hh>15 #include·<dune/geometry/type.hh>
22 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
23 #include·<dune/localfunctions/common/localbasis.hh>17 #include·<dune/localfunctions/common/localtoglobaladaptors.hh>
24 #include·<dune/localfunctions/common/localkey.hh>18 #include·<dune/localfunctions/lagrange/lagrangecube.hh>
25 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
26 ·Classes20 ·Classes
27 class· Dune::LocalFiniteElementVariant<_Implementations_> 
28  ······Type·erasure·class·for·wrapping·LocalFiniteElement·classes.·More...21 class· Dune::Q1FiniteElementFactory<_Geometry,_RF_>
 22  ······Factory·for·global-valued·Q1·elements.·More...
29  23  
30 ·Namespaces24 ·Namespaces
31 namespace· Dune25 namespace· Dune
32  26  
 27 ·Typedefs
 28 template<class·D·,·class·R·,·int·dim>
 29 using Dune::Q1LocalFiniteElement·=·LagrangeCubeLocalFiniteElement<·D,·R,·dim,
 30 ·······1·>
 31  ·····The·local·Q1·finite·element·on·cubes.
 32  
  
33 ===============================================================================33 ===============================================================================
34 ·····Generated·by [doxygen]·1.9.834 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common 
13 localfiniteelementvariant.hh12 ····*·lagrange
 13 q1.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_COMMON_LOCALFINITEELEMENTVARIANT_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_COMMON_LOCALFINITEELEMENTVARIANT_HH 
22 ·7 
23 ·8#include·<cstddef> 
24 ·9#include·<type_traits> 
25 ·10#include·<variant> 
26 ·11 
27 ·12#include·<dune/common/typeutilities.hh> 
28 ·13#include·<dune/common/std/type_traits.hh> 
29 ·14#include·<dune/common/overloadset.hh> 
30 ·1520 ·5
 21 ·6#ifndef·DUNE_Q1_LOCALFINITEELEMENT_HH
 22 ·7#define·DUNE_Q1_LOCALFINITEELEMENT_HH
 23 ·8
31 ·16#include·<dune/geometry/type.hh>24 ·9#include·<dune/geometry/type.hh>
32 ·1725 ·10
33 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>26 ·11#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
34 ·19#include·<dune/localfunctions/common/localbasis.hh>27 ·12#include·<dune/localfunctions/common/localtoglobaladaptors.hh>
 28 ·13#include·<dune/localfunctions/lagrange/lagrangecube.hh>
35 ·20#include·<dune/localfunctions/common/localkey.hh> 
36 ·21 
37 ·22 
38 ·23namespace·Dune·{ 
39 ·24 
40 ·25namespace·Impl·{ 
41 ·26 
42 ·27·//·Helper·for·visiting·a·variant·containing·monostate. 
43 ·28·//·Since·a·generic·lambda·will·in·most·cases·not·compile 
44 ·29·//·for·monostate,·we·add·special·empty·overloads·for·monostate. 
45 ·30·//·Hence·visitIf·will·simply·do·nothing·in·the·case·of·a 
46 ·31·//·monostate·value. 
47 ·32·template<class·Visitor,·class·Variant> 
48 ·33·void·visitIf(Visitor&&·visitor,·Variant&&·variant) 
49 ·34·{ 
50 ·35·auto·visitorWithFallback·=·overload([&](std::monostate&)·{},·[&](const 
51 std::monostate&)·{},·visitor); 
52 ·36·std::visit(visitorWithFallback,·variant); 
53 ·37·} 
54 ·38 
55 ·39·template<class...·Implementations> 
56 ·40·class·LocalBasisVariant 
57 ·41·{ 
58 ·42 
59 ·43·template<class·I0,·class...·II> 
60 ·44·struct·FirstType 
61 ·45·{·using·type·=·I0;·}; 
62 ·46 
63 ·47·using·FirstImpTraits·=·typename·FirstType<Implementations...>::type:: 
64 Traits; 
65 ·48 
66 ·49·public: 
67 ·50 
68 ·51·//·We·do·not·simply·copy·Implementation::LocalBasisTraits·because·this 
69 ·52·//·may·be·implementation·specific.·To·stay·clean,·we·simply·put·all·its 
70 ·53·//·data·into·the·default·LocalBasisTraits. 
71 ·54·using·Traits·=·typename·Dune::LocalBasisTraits< 
72 ·55·typename·FirstImpTraits::DomainFieldType, 
73 ·56·FirstImpTraits::dimDomain, 
74 ·57·typename·FirstImpTraits::DomainType, 
75 ·58·typename·FirstImpTraits::RangeFieldType, 
76 ·59·FirstImpTraits::dimRange, 
77 ·60·typename·FirstImpTraits::RangeType, 
78 ·61·typename·FirstImpTraits::JacobianType>; 
79 ·62 
80 ·63·template<class·Implementation> 
81 ·64·LocalBasisVariant(const·Implementation&·impl)·: 
82 ·65·impl_(&impl), 
83 ·66·size_(impl.size()), 
84 ·67·order_(impl.order()) 
85 ·68·{} 
86 ·69 
87 ·70·LocalBasisVariant()·=·default; 
88 ·71·LocalBasisVariant(const·LocalBasisVariant&·other)·=·default; 
89 ·72·LocalBasisVariant(LocalBasisVariant&&·other)·=·default; 
90 ·73·LocalBasisVariant&·operator=(const·LocalBasisVariant&·other)·=·default; 
91 ·74·LocalBasisVariant&·operator=(LocalBasisVariant&&·other)·=·default; 
92 ·75 
93 ·79·unsigned·int·size()·const 
94 ·80·{ 
95 ·81·return·size_; 
96 ·82·} 
97 ·83 
98 ·87·unsigned·int·order()·const 
99 ·88·{ 
100 ·89·return·order_; 
101 ·90·} 
102 ·91 
103 ·95·inline·void·evaluateFunction( 
104 ·96·const·typename·Traits::DomainType&·x, 
105 ·97·std::vector<typename·Traits::RangeType>&·out)·const 
106 ·98·{ 
107 ·99·Impl::visitIf([&](const·auto*·impl)·{·impl->evaluateFunction(x,·out);·}, 
108 impl_); 
109 ·100·} 
110 ·101 
111 ·105·inline·void·evaluateJacobian( 
112 ·106·const·typename·Traits::DomainType&·x, 
113 ·107·std::vector<typename·Traits::JacobianType>&·out)·const 
114 ·108·{ 
115 ·109·Impl::visitIf([&](const·auto*·impl)·{·impl->evaluateJacobian(x,·out);·}, 
116 impl_); 
117 ·110·} 
118 ·111 
119 ·119·void·partial( 
120 ·120·const·std::array<unsigned·int,Traits::dimDomain>&·order, 
121 ·121·const·typename·Traits::DomainType&·x, 
122 ·122·std::vector<typename·Traits::RangeType>&·out)·const 
123 ·123·{ 
124 ·124·Impl::visitIf([&](const·auto*·impl)·{·impl->partial(order,·x,·out);·}, 
125 impl_); 
126 ·125·} 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common12 ····*·lagrange
13 Classes·|·Namespaces13 Classes·|·Namespaces
14 localfiniteelementvariantcache.hh·File·Reference 
15 #include·<vector>14 lagrangesimplex.hh·File·Reference
 15 #include·<array>
16 #include·<tuple>16 #include·<numeric>
 17 #include·<dune/common/deprecated.hh>
17 #include·<utility> 
18 #include·<type_traits> 
19 #include·<dune/common/std/type_traits.hh>18 #include·<dune/common/fmatrix.hh>
20 #include·<dune/common/exceptions.hh>19 #include·<dune/common/fvector.hh>
21 #include·<dune/common/typelist.hh>20 #include·<dune/common/math.hh>
22 #include·<dune/common/hybridutilities.hh> 
23 #include·<dune/geometry/type.hh>21 #include·<dune/geometry/referenceelements.hh>
24 #include·<dune/geometry/typeindex.hh>22 #include·<dune/localfunctions/common/localbasis.hh>
25 #include·<dune/localfunctions/common/localfiniteelementvariant.hh>23 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 24 #include·<dune/localfunctions/common/localinterpolation.hh>
 25 #include·<dune/localfunctions/common/localkey.hh>
26 Go_to_the_source_code_of_this_file.26 Go_to_the_source_code_of_this_file.
27 ·Classes27 ·Classes
28 class· Dune::LocalFiniteElementVariantCache<_Base_> 
29  ······A·cache·storing·a·compile·time·selection·of·local·finite·element 
30 ········implementations.·More...28 class· Dune::LagrangeSimplexLocalFiniteElement<_D,_R,_d,_k_>
 29  ······Lagrange·finite·element·for·simplices·with·arbitrary·compile-time
 30 ········dimension·and·polynomial·order.·More...
31  31  
32 ·Namespaces32 ·Namespaces
33 namespace· Dune33 namespace· Dune
34  34  
  
35 ===============================================================================35 ===============================================================================
36 ·····Generated·by [doxygen]·1.9.836 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·localfiniteelementvariantcache.hh·Source·File</title>8 <title>dune-localfunctions:·lagrangesimplex.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common 
13 localfiniteelementvariantcache.hh12 ····*·lagrange
 13 lagrangesimplex.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_COMMON_LOCALFINITEELEMENTVARIANTCACHE_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_COMMON_LOCALFINITEELEMENTVARIANTCACHE_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGESIMPLEX_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGESIMPLEX_HH
22 ·722 ·7
23 ·8#include·<vector>23 ·8#include·<array>
24 ·9#include·<tuple>24 ·9#include·<numeric>
 25 ·10
 26 ·11#include·<dune/common/deprecated.hh>
25 ·10#include·<utility> 
26 ·11#include·<type_traits> 
27 ·12 
28 ·13#include·<dune/common/std/type_traits.hh>27 ·12#include·<dune/common/fmatrix.hh>
29 ·14#include·<dune/common/exceptions.hh>28 ·13#include·<dune/common/fvector.hh>
30 ·15#include·<dune/common/typelist.hh>29 ·14#include·<dune/common/math.hh>
31 ·16#include·<dune/common/hybridutilities.hh>30 ·15
 31 ·16#include·<dune/geometry/referenceelements.hh>
32 ·1732 ·17
 33 ·18#include·<dune/localfunctions/common/localbasis.hh>
33 ·18#include·<dune/geometry/type.hh> 
34 ·19#include·<dune/geometry/typeindex.hh> 
35 ·20 
36 ·21#include·<dune/localfunctions/common/localfiniteelementvariant.hh>34 ·19#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 35 ·20#include·<dune/localfunctions/common/localinterpolation.hh>
 36 ·21#include·<dune/localfunctions/common/localkey.hh>
37 ·2237 ·22
 38 ·23namespace·Dune·{·namespace·Impl
 39 ·24{
 40 ·35·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·k>
 41 ·36·class·LagrangeSimplexLocalBasis
38 ·23 
39 ·24namespace·Dune·{ 
40 ·25 
41 ·26namespace·Impl·{ 
42 ·27 
43 ·28·//·This·class·provides·the·index·method·of·LocalGeometryTypeIndex 
44 ·29·//·but·throws·a·Dune::RangeError·if·the·dimension·does·not·match. 
45 ·30·//·This·can·be·helpful·to·catch·errors·in·a·LocalFiniteElementVariantCache 
46 ·31·//·instance·based·on·dimension·specific·GeometryType·indices. 
47 ·32·template<std::size_t·dim> 
48 ·33·struct·FixedDimLocalGeometryTypeIndex·{ 
49 ·34·inline·static·std::size_t·index(const·GeometryType·&gt) 
50 ·35·{42 ·37·{
51 ·36·if·(gt.dim()·!=·dim) 
52 ·37·DUNE_THROW(Dune::RangeError,·"Asking·for·dim="·<<·dim·<<·"·specific·index 
53 of·GeometryType·with·dimension·"·<<·gt.dim()); 
54 ·38·return·LocalGeometryTypeIndex::index(gt); 
55 ·39·} 
56 ·40·}; 
57 ·41 
58 ·42}·//·end·namespace·Impl 
59 ·43 
60 ·66template<class·Base> 
61 67class·LocalFiniteElementVariantCache·:·Base43 ·38·public:
 44 ·39·using·Traits·=
 45 LocalBasisTraits<D,dim,FieldVector<D,dim>,R,1,FieldVector<R,1>,FieldMatrix<R,1,dim>
 46 >;
 47 ·40
 48 ·45·static·constexpr·unsigned·int·size·()
 49 ·46·{
 50 ·47·return·binomial(k+dim,dim);
 51 ·48·}
 52 ·49
 53 ·51·void·evaluateFunction(const·typename·Traits::DomainType&·x,
 54 ·52·std::vector<typename·Traits::RangeType>&·out)·const
 55 ·53·{
 56 ·54·out.resize(size());
 57 ·55
 58 ·56·//·Specialization·for·zero-order·case
 59 ·57·if·(k==0)
 60 ·58·{
 61 ·59·out[0]·=·1;
 62 ·60·return;
 63 ·61·}
 64 ·62
 65 ·63·//·Specialization·for·first-order·case
 66 ·64·if·(k==1)
 67 ·65·{
 68 ·66·out[0]·=·1.0;
 69 ·67·for·(size_t·i=0;·i<dim;·i++)
62 ·68{70 ·68·{
 71 ·69·out[0]·-=·x[i];
 72 ·70·out[i+1]·=·x[i];
 73 ·71·}
 74 ·72·return;
 75 ·73·}
 76 ·74
 77 ·75·assert(k>=2);
 78 ·76
 79 ·77·auto·lagrangeNode·=·[](unsigned·int·i)·{·return·((D)i)/k;·};
63 ·69 
64 ·70·template<class·LFEImplTuple> 
65 ·71·struct·GenerateLFEVariant; 
66 ·72 
67 ·73·template<class·Index,·class...·LFEImpl> 
68 ·74·struct·GenerateLFEVariant<std::tuple<std::pair<Index,·LFEImpl>...>> 
69 ·75·{ 
70 ·76·using·type·=·UniqueTypes_t<LocalFiniteElementVariant,·decltype(std:: 
71 declval<LFEImpl>()())...>; 
72 ·77·}; 
73 ·7880 ·78
74 ·79·using·Base::getImplementations; 
75 ·80·using·Base::index; 
76 ·81·using·Implementations·=·decltype(std::declval<Base>().getImplementations81 ·79·if·(dim==1)
 82 ·80·{
 83 ·81·for·(unsigned·int·i=0;·i<size();·i++)
 84 ·82·{
 85 ·83·out[i]·=·1.0;
 86 ·84·for·(unsigned·int·alpha=0;·alpha<i;·alpha++)
 87 ·85·out[i]·*=·(x[0]-lagrangeNode(alpha))/(lagrangeNode(i)-lagrangeNode(alpha));
 88 ·86·for·(unsigned·int·gamma=i+1;·gamma<=k;·gamma++)
 89 ·87·out[i]·*=·(x[0]-lagrangeNode(gamma))/(lagrangeNode(i)-lagrangeNode(gamma));
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 Namespaces·|·Typedefs
 14 pk.hh·File·Reference
12 ····*·common 
13 Classes·|·Namespaces 
14 virtualinterface.hh·File·Reference 
15 #include·<type_traits> 
16 #include·<array> 
17 #include·<vector> 
18 #include·<functional> 
19 #include·<dune/geometry/type.hh> 
20 #include·<dune/localfunctions/common/localbasis.hh>15 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
21 #include·<dune/localfunctions/common/localinterpolation.hh> 
22 #include·<dune/localfunctions/common/localkey.hh> 
23 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
24 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
25 ·Classes 
26 ·class· Dune::LocalFiniteElementFunctionBase<_FE_> 
27  ·······Return·a·proper·base·class·for·functions·to·use·with 
28 ·········LocalInterpolation.·More... 
29   
30 struct· Dune::LocalFiniteElementFunctionBase<_FE_>::FunctionBaseDummy::Traits 
31   
32 ·class· Dune::LocalBasisVirtualInterface<_T_> 
33  ·······virtual·base·class·for·a·local·basis·More... 
34   
35 ·class· Dune::LocalInterpolationVirtualInterfaceBase<_DomainType,_RangeType_> 
36  ·······virtual·base·class·for·a·local·interpolation·More... 
37   
38 ·class· Dune::LocalInterpolationVirtualInterface<_DomainType,_RangeType_> 
39  ·······virtual·base·class·for·a·local·interpolation·More... 
40   
41 ·class· Dune::LocalCoefficientsVirtualInterface 
42  ·······virtual·base·class·for·local·coefficients·More... 
43   
44 ·class· Dune::LocalFiniteElementVirtualInterface<_T_> 
45  ·······virtual·base·class·for·local·finite·elements·with·functions·More... 
46   
47 ·Namespaces17 ·Namespaces
48 namespace· Dune18 namespace· Dune
49  19  
 20 ·Typedefs
 21 template<class·D·,·class·R·,·int·d,·int·k>
 22 using Dune::PkLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,·d,
 23 ·······k·>
 24  
  
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·common 
13 virtualinterface.hh12 ····*·lagrange
 13 pk.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
 17 ·3/*·vim:·set·ai·expandtab·sw=4·ts=4:·*/
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·4//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·5//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 21 ·6#ifndef·DUNE_PK_LOCALFINITEELEMENT_HH
 22 ·7#define·DUNE_PK_LOCALFINITEELEMENT_HH
 23 ·8
 24 ·9#include<dune/localfunctions/lagrange/lagrangesimplex.hh>
 25 ·10
 26 ·11#warning·This·header·is·deprecated
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_COMMON_VIRTUALINTERFACE_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_COMMON_VIRTUALINTERFACE_HH 
22 ·7 
23 ·8#include·<type_traits> 
24 ·9#include·<array> 
25 ·10#include·<vector> 
26 ·11#include·<functional> 
27 ·1227 ·12
28 ·13#include·<dune/geometry/type.hh> 
29 ·14 
30 ·15#include·<dune/localfunctions/common/localbasis.hh> 
31 ·16#include·<dune/localfunctions/common/localinterpolation.hh> 
32 ·17#include·<dune/localfunctions/common/localkey.hh> 
33 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
34 ·19 
35 ·20namespace·Dune28 ·13namespace·Dune
36 ·21{29 ·14{
 30 ·18·template<class·D,·class·R,·int·d,·int·k>
 31 19·using·PkLocalFiniteElement
 32 ·20·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
 33 ·21·=·LagrangeSimplexLocalFiniteElement<D,_R,_d,_k>;
37 ·2234 ·22}
38 ·23·//·forward·declaration·needed·by·the·helper·traits 
39 ·24·template<class·DomainType,·class·RangeType> 
40 ·25·class·LocalInterpolationVirtualInterface; 
41 ·26 
42 ·27·//·----------------------------------------------------------------- 
43 ·28·//·Helper·traits·classes 
44 ·29·//·----------------------------------------------------------------- 
45 ·30 
46 ·43·template<class·FE> 
47 44·class 
48 ·45·[[deprecated("Dune::LocalFiniteElementFunctionBase·is·deprecated·after·Dune 
49 2.7.·You·can·now·pass·functions·providing·operator()·to·interpolate.")]] 
50 ·46·LocalFiniteElementFunctionBase 
51 ·47·{ 
52 ·48·typedef·typename·FE::Traits::LocalBasisType::Traits::DomainType·Domain; 
53 ·49·typedef·typename·FE::Traits::LocalBasisType::Traits::RangeType·Range; 
54 ·50 
55 ·51·//·Hack:·Keep·a·copy·of·Dune::Function·here.·This·allows·to·avoid·depending 
56 ·52·//·on·the·deprecated·dune-common·header·while·still·keeping·the 
57 LocalFiniteElementFunctionBase 
58 ·53·//·mechanism·working·during·its·deprecation·period. 
59 ·54·class·FunctionBaseDummy 
60 ·55·{ 
61 ·56·public: 
62 ·57 
63 ·58·using·RangeType·=·Range; 
64 ·59·using·DomainType·=·Domain; 
65 ·60 
66 61·struct·Traits 
67 ·62·{ 
68 63·using·RangeType·=·Range; 
69 64·using·DomainType·=·Domain; 
70 ·65·}; 
71 ·66 
72 ·67·void·evaluate(const·DomainType&·x,·RangeType&·y)·const; 
73 ·68·}; 
74 ·69 
75 ·70·public: 
76 ·71 
77 72·using·VirtualFunctionBase·=·FunctionBaseDummy; 
78 73·using·FunctionBase·=·FunctionBaseDummy; 
79 ·74 
80 80·using·type·=·FunctionBaseDummy; 
81 ·81·}; 
82 ·82 
83 ·83 
84 ·84 
85 ·85·//·----------------------------------------------------------------- 
86 ·86·//·Basis 
87 ·87·//·----------------------------------------------------------------- 
88 ·88 
89 ·95·template<class·T> 
90 96·class·LocalBasisVirtualInterface 
91 ·97·{ 
92 ·98·public: 
93 99·using·Traits·=·T; 
94 ·100 
95 ·101 
96 102·virtual·~LocalBasisVirtualInterface()·{} 
97 ·103 
98 105·virtual·unsigned·int·size·()·const·=·0; 
99 ·106 
100 108·virtual·unsigned·int·order·()·const·=·0; 
101 ·109 
102 115·virtual·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
103 ·116·std::vector<typename·Traits::RangeType>&·out)·const·=·0; 
104 ·117 
105 126·virtual·void·evaluateJacobian(const·typename·Traits::DomainType&·in,·/ 
106 /·position 
107 ·127·std::vector<typename·Traits::JacobianType>&·out)·const·=·0; 
108 ·128 
109 134·virtual·void·partial(const·std::array<unsigned·int,Traits::dimDomain>& 
110 order, 
111 ·135·const·typename·Traits::DomainType&·in, 
112 ·136·std::vector<typename·Traits::RangeType>&·out)·const·=·0; 
113 ·137·}; 
114 ·138 
115 ·139 
116 ·140 
117 ·141·//·----------------------------------------------------------------- 
118 ·142·//·Interpolation 
119 ·143·//·----------------------------------------------------------------- 
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 15 #include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
12 ····*·common 
13 Classes·|·Namespaces 
14 localkey.hh·File·Reference 
15 #include·<array> 
16 #include·<cstddef> 
17 #include·<ostream> 
18 Go_to_the_source_code_of_this_file.16 Go_to_the_source_code_of_this_file.
19 ·Classes 
20 class· Dune::LocalKey 
21  ······Describe·position·of·one·degree·of·freedom.·More... 
22   
23 ·Namespaces17 ·Namespaces
24 namespace· Dune18 namespace· Dune
25  19  
 20 ·Typedefs
 21 template<class·D·,·class·R·>
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 23 ·······D,·R,·1·>
 24  ·····First-order·Lagrangian·finite·element·on·a·three-dimensional·pyramid.
 25  
  
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 13 pyramidp1.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALKEY_HH 
21 ·6#define·DUNE_LOCALKEY_HH 
22 ·7 
23 ·8#include·<array> 
24 ·9#include·<cstddef> 
25 ·10#include·<ostream> 
26 ·1120 ·5
 21 ·6#ifndef·DUNE_PYRAMID_P1_LOCALFINITEELEMENT_HH
 22 ·7#define·DUNE_PYRAMID_P1_LOCALFINITEELEMENT_HH
 23 ·8
 24 ·9#include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
 25 ·10
 26 ·11#warning·This·header·is·deprecated
 27 ·12
27 ·12namespace·Dune28 ·13namespace·Dune
28 ·13{29 ·14{
29 22·class·LocalKey 
30 ·23·{ 
31 ·24·public:30 ·15
 31 ·20·template<class·D,·class·R>
 32 21·using·PyramidP1LocalFiniteElement
 33 ·22·[[deprecated("use·LagrangePyramidLocalFiniteElement·instead")]]
 34 ·23·=·LagrangePyramidLocalFiniteElement<D,R,1>;
 35 ·24
32 ·2536 ·25}
 37 ·26
 38 ·27#endif
 39 lagrangepyramid.hh
33 ·27·enum·{ 
34 ·36·intersectionCodim=666 
35 37·}; 
36 ·38 
37 40·LocalKey·() 
38 ·41·{} 
39 ·42 
40 48·LocalKey·(unsigned·int·s,·unsigned·int·c,·unsigned·int·i) 
41 ·49·{ 
42 ·50·values_[0]·=·s; 
43 ·51·values_[1]·=·c; 
44 ·52·values_[2]·=·i; 
45 ·53·} 
46 ·54 
47 56·inline·unsigned·int·subEntity·()·const 
48 ·57·{ 
49 ·58·return·values_[0]; 
50 ·59·} 
51 ·60 
52 62·inline·unsigned·int·codim·()·const 
53 ·63·{ 
54 ·64·return·values_[1]; 
55 ·65·} 
56 ·66 
57 68·inline·unsigned·int·index·()·const 
58 ·69·{ 
59 ·70·return·values_[2]; 
60 ·71·} 
61 ·72 
62 74·void·index·(unsigned·int·i) 
63 ·75·{ 
64 ·76·values_[2]·=·i; 
65 ·77·} 
66 ·78 
67 80·bool·operator<(const·LocalKey&·other)·const 
68 ·81·{ 
69 ·82·return·values_·<·other.values_; 
70 ·83·} 
71 ·84 
72 86·friend·std::ostream&·operator<<(std::ostream&·s,·const·LocalKey&·localKey) 
73 ·87·{ 
74 ·88·return·s·<<·"[·subEntity:·"·<<·localKey.subEntity() 
75 ·89·<<·",·codim:·"·<<·localKey.codim() 
76 ·90·<<·",·index:·"·<<·localKey.index()·<<·"·]"; 
77 ·91·} 
78 ·92 
79 ·93·private: 
80 ·94 
81 ·95·//·We·use·an·array·to·store·the·values·in·order·to·be·able·to·use·the 
82 array::operator<·implementation 
83 ·96·std::array<unsigned·int,3>·values_; 
84 ·97 
85 ·98·}; 
86 ·99 
87 ·100} 
88 ·101#endif 
89 Dune40 Dune
90 Definition·bdfmcube.hh:1841 Definition·bdfmcube.hh:18
 42 Dune::LagrangePyramidLocalFiniteElement
 43 Lagrange·finite·element·for·3d·pyramids·with·compile-time·polynomial·order.
 44 Definition·lagrangepyramid.hh:812
91 Dune::LocalKey 
92 Describe·position·of·one·degree·of·freedom. 
93 Definition·localkey.hh:23 
94 Dune::LocalKey::LocalKey 
95 LocalKey() 
96 Standard·constructor·for·uninitialized·local·index. 
97 Definition·localkey.hh:40 
98 Dune::LocalKey::index 
99 unsigned·int·index()·const 
100 Return·offset·within·subentity. 
101 Definition·localkey.hh:68 
102 Dune::LocalKey::codim 
103 unsigned·int·codim()·const 
104 Return·codim·of·associated·entity. 
105 Definition·localkey.hh:62 
106 Dune::LocalKey::subEntity 
107 unsigned·int·subEntity()·const 
108 Return·number·of·associated·subentity. 
109 Definition·localkey.hh:56 
110 Dune::LocalKey::LocalKey 
111 LocalKey(unsigned·int·s,·unsigned·int·c,·unsigned·int·i) 
112 Initialize·all·components. 
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 nedelec.hh
12 ····*·brezzidouglasfortinmarini 
13 bdfmcube.hh 
14 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_BDFMCUBE_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_BDFMCUBE_HH19 ·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_HH
 20 ·6#define·DUNE_LOCALFUNCTIONS_NEDELEC_HH
22 ·721 ·7
 22 ·8//·Nedelec·element·implementations·with·run-time·order
 23 ·9//·[include·them·here·once·they·exist]
 24 ·10
 25 ·11//·Nedelec·element·implementations·with·compile-time·order
 26 ·12#include·<dune/localfunctions/nedelec/nedelec1stkindsimplex.hh>
 27 ·13#include·<dune/localfunctions/nedelec/nedelec1stkindcube.hh>
 28 ·14
 29 ·15#endif·//·#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_HH
 30 nedelec1stkindcube.hh
 31 nedelec1stkindsimplex.hh
23 ·8#include·<dune/geometry/type.hh> 
24 ·9 
25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
26 ·11 
27 ·12#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/localbasis.hh> 
28 ·13#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/ 
29 localcoefficients.hh> 
30 ·14#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/ 
31 localinterpolation.hh> 
32 ·15 
33 ·16 
34 17namespace·Dune 
35 ·18{ 
36 ·19 
37 ·43·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order> 
38 44·class·BDFMCubeLocalFiniteElement 
39 ·45·{ 
40 ·46·using·LocalBasis·=·BDFMCubeLocalBasis<D,_R,_dim,_order>; 
41 ·47·using·LocalCoefficients·=·BDFMCubeLocalCoefficients<D,_R,_dim,_order>; 
42 ·48·using·LocalInterpolation·=·BDFMCubeLocalInterpolation<D,_R,_dim,_order>; 
43 ·49 
44 ·50·public: 
45 51·using·Traits·=·LocalFiniteElementTraits<LocalBasis,_LocalCoefficients, 
46 LocalInterpolation_>; 
47 ·52 
48 54·BDFMCubeLocalFiniteElement·()·{} 
49 ·55 
50 61·BDFMCubeLocalFiniteElement·(std::bitset<2*dim>·s) 
51 ·62·:·basis(·s·),·interpolation(·s·) 
52 ·63·{} 
53 ·64 
54 65·auto·localBasis·()·const·->·const·LocalBasis&·{·return·basis;·} 
55 66·auto·localCoefficients·()·const·->·const·LocalCoefficients&·{·return 
56 coefficients;·} 
57 67·auto·localInterpolation·()·const·->·const·LocalInterpolation&·{·return 
58 interpolation;·} 
59 ·68 
60 70·unsigned·int·size·()·const·{·return·basis.size();·} 
61 71·static·constexpr·auto·type·()·->·GeometryType·{·return·GeometryTypes::cube 
62 (dim);·} 
63 ·72 
64 ·73·private: 
65 ·74·LocalBasis·basis; 
66 ·75·LocalCoefficients·coefficients; 
67 ·76·LocalInterpolation·interpolation; 
68 ·77·}; 
69 ·78 
70 ·79}·//·namespace·Dune 
71 ·80 
72 ·81#endif·//·#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_BDFMCUBE_HH 
73 localfiniteelementtraits.hh 
74 localcoefficients.hh 
75 Dune 
76 Definition·bdfmcube.hh:18 
77 Dune::BDFMCubeLocalFiniteElement 
78 Brezzi-Douglas-Fortin-Marini·finite·elements·for·cubes. 
79 Definition·bdfmcube.hh:45 
80 Dune::BDFMCubeLocalFiniteElement::localCoefficients 
81 auto·localCoefficients()·const·->·const·LocalCoefficients·& 
82 Definition·bdfmcube.hh:66 
83 Dune::BDFMCubeLocalFiniteElement::size 
84 unsigned·int·size()·const 
85 Number·of·shape·functions·in·this·finite·element. 
86 Definition·bdfmcube.hh:70 
87 Dune::BDFMCubeLocalFiniteElement::BDFMCubeLocalFiniteElement 
88 BDFMCubeLocalFiniteElement() 
89 Standard·constructor. 
90 Definition·bdfmcube.hh:54 
91 Dune::BDFMCubeLocalFiniteElement::localBasis 
92 auto·localBasis()·const·->·const·LocalBasis·& 
93 Definition·bdfmcube.hh:65 
94 Dune::BDFMCubeLocalFiniteElement::type 
95 static·constexpr·auto·type()·->·GeometryType 
96 Definition·bdfmcube.hh:71 
97 Dune::BDFMCubeLocalFiniteElement::localInterpolation 
98 auto·localInterpolation()·const·->·const·LocalInterpolation·& 
99 Definition·bdfmcube.hh:67 
100 Dune::BDFMCubeLocalFiniteElement::BDFMCubeLocalFiniteElement 
101 BDFMCubeLocalFiniteElement(std::bitset<·2·*dim·>·s) 
102 Make·set·number·s,·where·0·<=·s·<·2^(2*dim) 
103 Definition·bdfmcube.hh:61 
104 Dune::BDFMCubeLocalBasis 
105 Brezzi-Douglas-Fortin-Marini·shape·functions·on·a·reference·cube. 
106 Definition·brezzidouglasfortinmarini/cube/localbasis.hh:37 
107 Dune::BDFMCubeLocalCoefficients 
108 Layout·map·for·Brezzi-Douglas-Fortin-Marini·elements·on·cubes. 
109 Definition·localcoefficients.hh:33 
110 Dune::BDFMCubeLocalInterpolation 
111 Interpolation·for·Brezzi-Douglas-Fortin-Marini·shape·functions·on·cubes. 
112 Definition·brezzidouglasfortinmarini/cube/localinterpolation.hh:38 
113 Dune::LocalFiniteElementTraits 
114 traits·helper·struct 
115 Definition·localfiniteelementtraits.hh:13 
116 localbasis.hh 
117 localinterpolation.hh 
  
118 ===============================================================================32 ===============================================================================
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·brezzidouglasfortinmarini 
13 ····*·cube 
14 Classes·|·Namespaces12 Classes·|·Namespaces
15 localcoefficients.hh·File·Reference 
16 #include·<cstddef> 
17 #include·<vector>13 crouzeixraviart.hh·File·Reference
 14 #include·<array>
 15 #include·<numeric>
18 #include·<dune/common/math.hh>16 #include·<dune/common/fmatrix.hh>
19 #include·<dune/common/rangeutilities.hh> 
20 #include·<dune/common/typetraits.hh>17 #include·<dune/common/fvector.hh>
 18 #include·<dune/geometry/type.hh>
 19 #include·<dune/geometry/referenceelements.hh>
 20 #include·<dune/localfunctions/common/localbasis.hh>
 21 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 22 #include·<dune/localfunctions/common/localinterpolation.hh>
21 #include·<dune/localfunctions/common/localkey.hh>23 #include·<dune/localfunctions/common/localkey.hh>
22 Go_to_the_source_code_of_this_file.24 Go_to_the_source_code_of_this_file.
23 ·Classes25 ·Classes
24 class· Dune::BDFMCubeLocalCoefficients<_D,_R,_dim,_order_> 
25  ······Layout·map·for·Brezzi-Douglas-Fortin-Marini·elements·on·cubes.·More...26 class· Dune::CrouzeixRaviartLocalFiniteElement<_D,_R,_dim_>
 27  ······Crouzeix-Raviart·finite·element.·More...
26  28  
27 ·Namespaces29 ·Namespaces
28 namespace· Dune30 namespace· Dune
29  31  
  
30 ===============================================================================32 ===============================================================================
31 ·····Generated·by [doxygen]·1.9.833 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·localcoefficients.hh·Source·File</title>8 <title>dune-localfunctions:·crouzeixraviart.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 crouzeixraviart.hh
12 ····*·brezzidouglasfortinmarini 
13 ····*·cube 
14 localcoefficients.hh 
15 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
 14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
 15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·1//·SPDX-FileCopyrightText:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
18 ·2//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 19 ·5#ifndef·DUNE_LOCALFUNCTIONS_CROUZEIXRAVIART_HH
 20 ·6#define·DUNE_LOCALFUNCTIONS_CROUZEIXRAVIART_HH
 21 ·7
 22 ·8#include·<array>
 23 ·9#include·<numeric>
 24 ·10
19 ·3#ifndef 
20 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_CUBE_LOCALCOEFFICIENTS_HH 
21 ·4#define 
22 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_CUBE_LOCALCOEFFICIENTS_HH 
23 ·5 
24 ·6#include·<cstddef> 
25 ·7#include·<vector> 
26 ·8 
27 ·9#include·<dune/common/math.hh>25 ·11#include·<dune/common/fmatrix.hh>
28 ·10#include·<dune/common/rangeutilities.hh> 
29 ·11#include·<dune/common/typetraits.hh>26 ·12#include·<dune/common/fvector.hh>
30 ·1227 ·13
 28 ·14#include·<dune/geometry/type.hh>
 29 ·15#include·<dune/geometry/referenceelements.hh>
 30 ·16
 31 ·17#include·<dune/localfunctions/common/localbasis.hh>
 32 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 33 ·19#include·<dune/localfunctions/common/localinterpolation.hh>
31 ·13#include·<dune/localfunctions/common/localkey.hh>34 ·20#include·<dune/localfunctions/common/localkey.hh>
 35 ·21
 36 ·22namespace·Dune·{·namespace·Impl
 37 ·23{
32 ·14 
33 ·15namespace·Dune 
34 ·16{ 
35 ·17 
36 ·31·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>38 ·30·template<class·D,·class·R,·unsigned·int·dim>
37 32·class·BDFMCubeLocalCoefficients39 ·31·class·CrouzeixRaviartLocalBasis
38 ·33·{40 ·32·{
39 ·34·static·constexpr·unsigned·int·interiorDofs·=·dim*binomial(dim+order-2, 
40 order-2); 
41 ·35·static·constexpr·unsigned·int·faceDofs·=·binomial(dim+order-2,·order-1); 
42 ·36 
43 ·37·static·constexpr·std::size_t·numFaces·=·2*dim; 
44 ·38·static·constexpr·std::size_t·numDofs·=·numFaces*faceDofs·+·interiorDofs; 
45 ·39 
46 ·40·public:41 ·33·public:
47 42·BDFMCubeLocalCoefficients·()·:·li(numDofs)42 ·34·using·Traits·=
 43 LocalBasisTraits<D,dim,FieldVector<D,dim>,R,1,FieldVector<R,1>,FieldMatrix<R,1,dim>
 44 >;
 45 ·35
 46 ·38·static·constexpr·unsigned·int·size·()
48 ·43·{47 ·39·{
49 ·44·for·(auto·j·:·range(numFaces)) 
50 ·45·for·(auto·i·:·range(faceDofs)) 
51 ·46·li[j*faceDofs·+·i]·=·LocalKey(j,·1,·i); 
52 ·47 
53 ·48·for·(auto·i·:·range(interiorDofs)) 
54 ·49·li[numFaces*faceDofs·+·i]·=·LocalKey(0,·0,·i); 
55 ·50·}48 ·40·return·dim+1;
 49 ·41·}
 50 ·42
 51 ·44·void·evaluateFunction(const·typename·Traits::DomainType&·x,
 52 ·45·std::vector<typename·Traits::RangeType>&·out)·const
 53 ·46·{
 54 ·47·out.resize(size());
 55 ·48
 56 ·49·std::fill(out.begin(),·out.end()-1,·1.0);
 57 ·50·out.back()·=·1.0-dim;
56 ·5158 ·51
57 53·std::size_t·size·()·const·{·return·numDofs;·} 
58 ·54 
59 56·auto·localKey·(std::size_t·i)·const·->·const·LocalKey&·{·return·li[i];·}59 ·52·for·(unsigned·int·i=0;·i<dim;·i++)
 60 ·53·{
 61 ·54·out[i]·-=·dim·*·x[dim-i-1];
 62 ·55·out.back()·+=·dim*x[i];
 63 ·56·}
60 ·5764 ·57·}
 65 ·58
 66 ·64·void·evaluateJacobian(const·typename·Traits::DomainType&·x,
 67 ·65·std::vector<typename·Traits::JacobianType>&·out)·const
 68 ·66·{
 69 ·67·out.resize(size());
 70 ·68
 71 ·69·for·(unsigned·i=0;·i<dim;·i++)
 72 ·70·for·(unsigned·j=0;·j<dim;·j++)
 73 ·71·out[i][0][j]·=·(i==(dim-1-j))·?·-(double)dim·:·0;
 74 ·72
 75 ·73·std::fill(out.back()[0].begin(),·out.back()[0].end(),·dim);
 76 ·74·}
 77 ·75
 78 ·82·void·partial(const·std::array<unsigned·int,dim>&·order,
 79 ·83·const·typename·Traits::DomainType&·in,
 80 ·84·std::vector<typename·Traits::RangeType>&·out)·const
 81 ·85·{
 82 ·86·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0);
 83 ·87
 84 ·88·out.resize(size());
 85 ·89
 86 ·90·if·(totalOrder·==·0)·{
 87 ·91·evaluateFunction(in,·out);
 88 ·92·return;
 89 ·93·}
 90 ·94
 91 ·95·if·(totalOrder==1)
 92 ·96·{
 93 ·97·auto·direction·=·std::find(order.begin(),·order.end(),·1)-order.begin();
 94 ·98
 95 ·99·for·(unsigned·int·i=0;·i<dim;·i++)
 96 ·100·out[i]·=·(i==(dim-1-direction))·?·-(double)dim·:·0.0;
 97 ·101
 98 ·102·out.back()[0]·=·dim;
 99 ·103·}
 100 ·104·else·//·all·higher·order·derivatives·are·zero
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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12 refined.hh·File·Reference 
13 Convenience·header·that·includes·all·available·LocalFiniteElements·based·on 
14 uniform·element·refinement.·More... 
15 #include·<dune/localfunctions/refined/refinedp0.hh> 
16 #include·<dune/localfunctions/refined/refinedp1.hh>12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini2simplex2d
 14 Classes·|·Namespaces
 15 brezzidouglasmarini2simplex2dlocalbasis.hh·File·Reference
 16 #include·<array>
 17 #include·<bitset>
 18 #include·<numeric>
 19 #include·<vector>
 20 #include·<dune/common/fmatrix.hh>
 21 #include·"../../common/localbasis.hh"
17 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
18 *****·Detailed·Description·***** 
19 Convenience·header·that·includes·all·available·LocalFiniteElements·based·on 
20 uniform·element·refinement.23 ·Classes
 24 class· Dune::BDM2Simplex2DLocalBasis<_D,_R_>
 25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.
 26 ········More...
 27  
 28 ·Namespaces
 29 namespace· Dune
 30  
  
21 ===============================================================================31 ===============================================================================
22 ·····Generated·by [doxygen]·1.9.832 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 refined.hh12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini2simplex2d
 14 brezzidouglasmarini2simplex2dlocalbasis.hh
13 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·11#include·<dune/localfunctions/refined/refinedp0.hh> 
20 ·12#include·<dune/localfunctions/refined/refinedp1.hh> 
21 refinedp0.hh 
22 Piecewise·P0·finite·element. 
23 refinedp1.hh21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALBASIS_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALBASIS_HH
 23 ·7
 24 ·8#include·<array>
 25 ·9#include·<bitset>
 26 ·10#include·<numeric>
 27 ·11#include·<vector>
 28 ·12
 29 ·13#include·<dune/common/fmatrix.hh>
 30 ·14
 31 ·15#include·"../../common/localbasis.hh"
 32 ·16
 33 ·17namespace·Dune
 34 ·18{
 35 ·28·template<class·D,·class·R>
 36 29·class·BDM2Simplex2DLocalBasis
 37 ·30·{
 38 ·31
 39 ·32·public:
 40 ·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,
 41 ·34·R,2,Dune::FieldVector<R,2>,
 42 35·Dune::FieldMatrix<R,2,2>·>·Traits;
 43 ·36
 44 38·BDM2Simplex2DLocalBasis()
 45 ·39·{
 46 ·40·for·(size_t·i=0;·i<3;·i++)
 47 ·41·sign_[i]·=·1.0;
 48 ·42·}
 49 ·43
 50 49·BDM2Simplex2DLocalBasis(std::bitset<3>·s)
 51 ·50·{
 52 ·51·for·(size_t·i=0;·i<3;·i++)
 53 ·52·sign_[i]·=·s[i]·?·-1.0·:·1.0;
 54 ·53·}
 55 ·54
 56 56·unsigned·int·size()·const
 57 ·57·{
 58 ·58·return·12;
 59 ·59·}
 60 ·60
 61 67·inline·void·evaluateFunction(const·typename·Traits::DomainType&·in,
 62 ·68·std::vector<typename·Traits::RangeType>&·out)·const
 63 ·69·{
 64 ·70·out.resize(size());
 65 ·71
 66 ·72·out[0][0]·=·sign_[0]*(-2*in[0]*in[1]·+·in[0]*in[0]);
 67 ·73·out[0][1]·=·sign_[0]*(-1·+·6*in[1]·-2*in[0]*in[1]·-·5*in[1]*in[1]);
 68 ·74
 69 ·75·out[1][0]·=·1.5*in[0]·+·3*in[0]*in[1]·-·4.5*in[0]*in[0];
 70 ·76·out[1][1]·=·-3·+·6*in[0]·+·10.5*in[1]·-·15*in[0]*in[1]·-·7.5*in[1]*in[1];
 71 ·77
 72 ·78·out[2][0]·=·sign_[0]*(-7.5*in[0]·+·5*in[0]*in[1]·+·12.5*in[0]*in[0]);
 73 ·79·out[2][1]·=·sign_[0]*(-5·+·30*in[0]·+·7.5*in[1]·-·25*in[0]*in[1]·-·30*in
 74 [0]*in[0]·-·2.5*in[1]*in[1]);
 75 ·80
 76 ·81
 77 ·82
 78 ·83·out[3][0]·=·sign_[1]*(-1·+·6*in[0]·-·2*in[0]*in[1]·-·5*in[0]*in[0]);
 79 ·84·out[3][1]·=·sign_[1]*(-2*in[0]*in[1]·+·in[1]*in[1]);
 80 ·85
 81 ·86·out[4][0]·=·3·-·10.5*in[0]·-·6*in[1]·+·15*in[0]*in[1]·+·7.5*in[0]*in[0];
 82 ·87·out[4][1]·=·-1.5*in[1]·-·3*in[0]*in[1]·+·4.5*in[1]*in[1];
 83 ·88
 84 ·89·out[5][0]·=·sign_[1]*(-5·+·7.5*in[0]·+·30*in[1]·-·25*in[0]*in[1]·-·2.5*in
 85 [0]*in[0]·-·30*in[1]*in[1]);
 86 ·90·out[5][1]·=·sign_[1]*(-7.5*in[1]·+·5*in[0]*in[1]·+·12.5*in[1]*in[1]);
 87 ·91
 88 ·92
 89 ·93
 90 ·94·out[6][0]·=·sign_[2]*(-3*in[0]·+·4*in[0]*in[1]·+·4*in[0]*in[0]);
 91 ·95·out[6][1]·=·sign_[2]*(-3*in[1]·+·4*in[0]*in[1]·+·4*in[1]*in[1]);
 92 ·96
 93 ·97·out[7][0]·=·-3*in[0]·+·6*in[0]*in[0];
 94 ·98·out[7][1]·=·3*in[1]·-·6*in[1]*in[1];
 95 ·99
 96 ·100·out[8][0]·=·sign_[2]*(-10*in[0]*in[1]·+·5*in[0]*in[0]);
 97 ·101·out[8][1]·=·sign_[2]*(-10*in[0]*in[1]·+·5*in[1]*in[1]);
 98 ·102
 99 ·103
 100 ·104
 101 ·105·out[9][0]·=·18*in[0]·-·12*in[0]*in[1]·-·18*in[0]*in[0];
 102 ·106·out[9][1]·=·6*in[1]·-·12*in[0]*in[1]·-·6*in[1]*in[1];
 103 ·107
 104 ·108·out[10][0]·=·6*in[0]·-·12*in[0]*in[1]·-·6*in[0]*in[0];
 105 ·109·out[10][1]·=·18*in[1]·-·12*in[0]*in[1]·-·18*in[1]*in[1];
 106 ·110
 107 ·111·out[11][0]·=·90*in[0]·-·180*in[0]*in[1]·-·90*in[0]*in[0];
 108 ·112·out[11][1]·=·-90*in[1]·+·180*in[0]*in[1]·+·90*in[1]*in[1];
 109 ·113·}
 110 ·114
 111 121·inline·void·evaluateJacobian(const·typename·Traits::DomainType&·in,
 112 ·122·std::vector<typename·Traits::JacobianType>&·out)·const
 113 ·123·{
 114 ·124·out.resize(size());
 115 ·125
 116 ·126·out[0][0][0]·=·sign_[0]*(-2*in[1]·+·2*in[0]);
 117 ·127·out[0][0][1]·=·sign_[0]*(-2*in[0]);
 118 ·128
 119 ·129·out[0][1][0]·=·sign_[0]*(-2*in[1]);
 120 ·130·out[0][1][1]·=·sign_[0]*(6·-2*in[0]·-·10*in[1]);
 121 ·131
 122 ·132
 123 ·133·out[1][0][0]·=·1.5·+·3*in[1]·-·9*in[0];
 124 ·134·out[1][0][1]·=·3*in[0];
 125 ·135
 126 ·136·out[1][1][0]·=·6·-·15*in[1];
 127 ·137·out[1][1][1]·=·10.5·-·15*in[0]·-·15*in[1];
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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10 ····*·dune10 ····*·dune
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 13 ····*·brezzidouglasmarini2simplex2d
12 Classes·|·Namespaces14 Classes·|·Namespaces
 15 brezzidouglasmarini2simplex2dlocalinterpolation.hh·File·Reference
 16 #include·<vector>
13 crouzeixraviart.hh·File·Reference 
14 #include·<array> 
15 #include·<numeric> 
16 #include·<dune/common/fmatrix.hh> 
17 #include·<dune/common/fvector.hh> 
18 #include·<dune/geometry/type.hh>17 #include·<dune/geometry/quadraturerules.hh>
19 #include·<dune/geometry/referenceelements.hh> 
20 #include·<dune/localfunctions/common/localbasis.hh> 
21 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
22 #include·<dune/localfunctions/common/localinterpolation.hh>18 #include·<dune/localfunctions/common/localinterpolation.hh>
23 #include·<dune/localfunctions/common/localkey.hh> 
24 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
25 ·Classes20 ·Classes
26 class· Dune::CrouzeixRaviartLocalFiniteElement<_D,_R,_dim_> 
27  ······Crouzeix-Raviart·finite·element.·More...21 class· Dune::BDM2Simplex2DLocalInterpolation<_LB_>
 22  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·triangles.·More...
28  23  
29 ·Namespaces24 ·Namespaces
30 namespace· Dune25 namespace· Dune
31  26  
  
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 13 ····*·brezzidouglasmarini2simplex2d
 14 brezzidouglasmarini2simplex2dlocalinterpolation.hh
13 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·5#ifndef·DUNE_LOCALFUNCTIONS_CROUZEIXRAVIART_HH 
20 ·6#define·DUNE_LOCALFUNCTIONS_CROUZEIXRAVIART_HH21 ·5#ifndef
 22 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALINTERPOLATION_HH
 23 ·6#define
 24 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALINTERPOLATION_HH
21 ·725 ·7
22 ·8#include·<array>26 ·8#include·<vector>
 27 ·9
23 ·9#include·<numeric> 
24 ·10 
25 ·11#include·<dune/common/fmatrix.hh> 
26 ·12#include·<dune/common/fvector.hh> 
27 ·13 
28 ·14#include·<dune/geometry/type.hh>28 ·10#include·<dune/geometry/quadraturerules.hh>
29 ·15#include·<dune/geometry/referenceelements.hh> 
30 ·16 
31 ·17#include·<dune/localfunctions/common/localbasis.hh> 
32 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
33 ·19#include·<dune/localfunctions/common/localinterpolation.hh>29 ·11#include·<dune/localfunctions/common/localinterpolation.hh>
34 ·20#include·<dune/localfunctions/common/localkey.hh> 
35 ·21 
36 ·22namespace·Dune·{·namespace·Impl 
37 ·23{ 
38 ·30·template<class·D,·class·R,·unsigned·int·dim> 
39 ·31·class·CrouzeixRaviartLocalBasis30 ·12
 31 ·13namespace·Dune
 32 ·14{
 33 ·15
 34 ·24·template<class·LB>
 35 25·class·BDM2Simplex2DLocalInterpolation
40 ·32·{36 ·26·{
 37 ·27
41 ·33·public:38 ·28·public:
 39 30·BDM2Simplex2DLocalInterpolation()
42 ·34·using·Traits·= 
43 LocalBasisTraits<D,dim,FieldVector<D,dim>,R,1,FieldVector<R,1>,FieldMatrix<R,1,dim> 
44 >; 
45 ·35 
46 ·38·static·constexpr·unsigned·int·size·() 
47 ·39·{40 ·31·{
48 ·40·return·dim+1;41 ·32·sign0·=·sign1·=·sign2·=·1.0;
 42 ·33·}
 43 ·34
 44 40·BDM2Simplex2DLocalInterpolation(unsigned·int·s)
49 ·41·}45 ·41·{
 46 ·42·sign0·=·sign1·=·sign2·=·1.0;
 47 ·43·if·(s·&·1)
50 ·42 
51 ·44·void·evaluateFunction(const·typename·Traits::DomainType&·x, 
52 ·45·std::vector<typename·Traits::RangeType>&·out)·const 
53 ·46·{48 ·44·{
 49 ·45·sign0·=·-1.0;
54 ·47·out.resize(size()); 
55 ·48 
56 ·49·std::fill(out.begin(),·out.end()-1,·1.0); 
57 ·50·out.back()·=·1.0-dim; 
58 ·51 
59 ·52·for·(unsigned·int·i=0;·i<dim;·i++) 
60 ·53·{ 
61 ·54·out[i]·-=·dim·*·x[dim-i-1]; 
62 ·55·out.back()·+=·dim*x[i]; 
63 ·56·}50 ·46·}
 51 ·47·if·(s·&·2)
 52 ·48·{
 53 ·49·sign1·=·-1.0;
64 ·57·}54 ·50·}
65 ·58 
66 ·64·void·evaluateJacobian(const·typename·Traits::DomainType&·x, 
67 ·65·std::vector<typename·Traits::JacobianType>&·out)·const 
68 ·66·{ 
69 ·67·out.resize(size()); 
70 ·68 
71 ·69·for·(unsigned·i=0;·i<dim;·i++) 
72 ·70·for·(unsigned·j=0;·j<dim;·j++) 
73 ·71·out[i][0][j]·=·(i==(dim-1-j))·?·-(double)dim·:·0;55 ·51·if·(s·&·4)
 56 ·52·{
 57 ·53·sign2·=·-1.0;
 58 ·54·}
 59 ·55
 60 ·56·m0[0]·=·0.5;
 61 ·57·m0[1]·=·0.0;
 62 ·58·m1[0]·=·0.0;
 63 ·59·m1[1]·=·0.5;
 64 ·60·m2[0]·=·0.5;
 65 ·61·m2[1]·=·0.5;
 66 ·62·n0[0]·=·0.0;
 67 ·63·n0[1]·=·-1.0;
 68 ·64·n1[0]·=·-1.0;
 69 ·65·n1[1]·=·0.0;
 70 ·66·n2[0]·=·1.0/sqrt(2.0);
 71 ·67·n2[1]·=·1.0/sqrt(2.0);
 72 ·68·c0·=·0.5*n0[0]·-·1.0*n0[1];
 73 ·69·c1·=·-1.0*n1[0]·+·0.5*n1[1];
 74 ·70·c2·=·0.5*n2[0]·+·0.5*n2[1];
 75 ·71·}
74 ·7276 ·72
 77 ·81·template<typename·F,·typename·C>
 78 82·void·interpolate(const·F&·ff,·std::vector<C>&·out)·const
75 ·73·std::fill(out.back()[0].begin(),·out.back()[0].end(),·dim); 
76 ·74·} 
77 ·75 
78 ·82·void·partial(const·std::array<unsigned·int,dim>&·order, 
79 ·83·const·typename·Traits::DomainType&·in, 
80 ·84·std::vector<typename·Traits::RangeType>&·out)·const 
81 ·85·{79 ·83·{
82 ·86·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0);80 ·84·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 81 ·85·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 82 ·86·typedef·typename·LB::Traits::DomainFieldType·Vector;
83 ·8783 ·87
84 ·88·out.resize(size());84 ·88·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 85 DomainType>(ff);
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14 LocalFiniteElements.·More... 
15 #include·<dune/localfunctions/rannacherturek/rannacherturek.hh>12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini2simplex2d
 14 Classes·|·Namespaces
 15 brezzidouglasmarini2simplex2dlocalcoefficients.hh·File·Reference
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 17 #include·<vector>
 18 #include·"../../common/localkey.hh"
16 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
17 *****·Detailed·Description·***** 
18 Convenience·header·that·includes·all·available·Rannacher-Turek 
19 LocalFiniteElements.20 ·Classes
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 22  ······Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·triangles.·More...
 23  
 24 ·Namespaces
 25 namespace· Dune
 26  
  
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 14 brezzidouglasmarini2simplex2dlocalcoefficients.hh
13 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·9#include·<dune/localfunctions/rannacherturek/rannacherturek.hh> 
20 rannacherturek.hh21 ·5#ifndef
 22 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALCOEFFICIENTS_HH
 23 ·6#define
 24 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALCOEFFICIENTS_HH
 25 ·7
 26 ·8#include·<cstddef>
 27 ·9#include·<vector>
 28 ·10
 29 ·11#include·"../../common/localkey.hh"
 30 ·12
 31 ·13namespace·Dune
 32 ·14{
 33 ·15
 34 23·class·BDM2Simplex2DLocalCoefficients
 35 ·24·{
 36 ·25
 37 ·26·public:
 38 28·BDM2Simplex2DLocalCoefficients()·:·li(12)
 39 ·29·{
 40 ·30·for·(std::size_t·i·=·0;·i·<·3;·++i)
 41 ·31·{
 42 ·32·li[3·*·i]·=·LocalKey(i,1,0);
 43 ·33·li[3·*·i·+·1]·=·LocalKey(i,1,1);
 44 ·34·li[3·*·i·+·2]·=·LocalKey(i,1,2);
 45 ·35·}
 46 ·36
 47 ·37·//·last·DOFs·are·associated·with·the·cell·(codim=0)
 48 ·38·li[9]·=·LocalKey(0,0,0);
 49 ·39·li[10]·=·LocalKey(0,0,1);
 50 ·40·li[11]·=·LocalKey(0,0,2);
 51 ·41·}
 52 ·42
 53 44·std::size_t·size()·const
 54 ·45·{
 55 ·46·return·12;
 56 ·47·}
 57 ·48
 58 50·const·LocalKey&·localKey(std::size_t·i)·const
 59 ·51·{
 60 ·52·return·li[i];
 61 ·53·}
 62 ·54
 63 ·55·private:
 64 ·56·std::vector<LocalKey>·li;
 65 ·57·};
 66 ·58}·//·end·namespace·Dune
 67 ·59#endif·/
 68 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALCOEFFICIENTS_HH
 69 Dune
 70 Definition·bdfmcube.hh:18
 71 Dune::BDM2Simplex2DLocalCoefficients
 72 Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·triangles.
 73 Definition·brezzidouglasmarini2simplex2dlocalcoefficients.hh:24
 74 Dune::BDM2Simplex2DLocalCoefficients::BDM2Simplex2DLocalCoefficients
 75 BDM2Simplex2DLocalCoefficients()
 76 Standard·constructor.
 77 Definition·brezzidouglasmarini2simplex2dlocalcoefficients.hh:28
 78 Dune::BDM2Simplex2DLocalCoefficients::localKey
 79 const·LocalKey·&·localKey(std::size_t·i)·const
 80 get·i'th·index
 81 Definition·brezzidouglasmarini2simplex2dlocalcoefficients.hh:50
 82 Dune::BDM2Simplex2DLocalCoefficients::size
 83 std::size_t·size()·const
 84 number·of·coefficients
 85 Definition·brezzidouglasmarini2simplex2dlocalcoefficients.hh:44
 86 Dune::LocalKey
 87 Describe·position·of·one·degree·of·freedom.
 88 Definition·localkey.hh:23
  
21 ===============================================================================89 ===============================================================================
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13 Classes·|·Namespaces14 Classes·|·Namespaces
 15 brezzidouglasmarini1cube2dlocalinterpolation.hh·File·Reference
14 power.hh·File·Reference 
15 #include·<cstddef> 
16 #include·<memory>16 #include·<vector>
17 #include·<dune/geometry/type.hh>17 #include·<dune/geometry/quadraturerules.hh>
18 #include·<dune/localfunctions/meta/power/basis.hh> 
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22 ·Classes20 ·Classes
 21 class· Dune::BDM1Cube2DLocalInterpolation<_LB_>
 22  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference
 23 ········quadrilateral.·More...
23 ·class· Dune::PowerFiniteElement<_Backend,_dimR_> 
24  ·······Meta-finite·element·turning·a·scalar·finite·element·into·vector-valued 
25 ·········one.·More... 
26   
27 struct· Dune::PowerFiniteElement<_Backend,_dimR_>::Traits 
28  ·······types·of·component·objects·More... 
29   
30 ·class· Dune::PowerFiniteElementFactory<_BackendFiniteElement,_dimR_> 
31  ·······Factory·for·meta-finite·elements·turning·scalar·finite·elements·into 
32 ·········vector-valued·ones.·More... 
33  24  
34 ·Namespaces25 ·Namespaces
35 namespace· Dune26 namespace· Dune
36  27  
  
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 14 brezzidouglasmarini1cube2dlocalinterpolation.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
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 21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALINTERPOLATION_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALINTERPOLATION_HH
 23 ·7
20 ·5 
21 ·6#ifndef·DUNE_LOCALFUNCTIONS_META_POWER_HH 
22 ·7#define·DUNE_LOCALFUNCTIONS_META_POWER_HH 
23 ·8 
24 ·9#include·<cstddef> 
25 ·10#include·<memory>24 ·8#include·<vector>
26 ·1125 ·9
27 ·12#include·<dune/geometry/type.hh>26 ·10#include·<dune/geometry/quadraturerules.hh>
28 ·13 
29 ·14#include·<dune/localfunctions/meta/power/basis.hh> 
30 ·15#include·<dune/localfunctions/meta/power/coefficients.hh> 
31 ·16#include·<dune/localfunctions/meta/power/interpolation.hh>27 ·11#include·<dune/localfunctions/common/localinterpolation.hh>
32 ·1728 ·12
33 ·18namespace·Dune·{29 ·13namespace·Dune
34 ·19 
35 ·22 
36 ·28·template<class·Backend,·std::size_t·dimR> 
37 29·class·PowerFiniteElement·{30 ·14{
 31 ·15
 32 ·24·template<class·LB>
 33 25·class·BDM1Cube2DLocalInterpolation
 34 ·26·{
 35 ·27
38 ·30·public:36 ·28·public:
39 32·struct·Traits·{ 
40 34·typedef·PowerBasis<typename_Backend::Traits::Basis,_dimR>·Basis; 
41 36·typedef·PowerCoefficients·Coefficients; 
42 ·38·typedef·PowerInterpolation<typename·Backend::Traits::Interpolation, 
43 39·typename·Basis::Traits>·Interpolation; 
44 ·40·}; 
45 ·41·private: 
46 ·42·std::shared_ptr<const·Backend>·backend; 
47 ·43·typename·Traits::Basis·basis_; 
48 ·44·typename·Traits::Coefficients·coefficients_; 
49 ·45·typename·Traits::Interpolation·interpolation_;37 30·BDM1Cube2DLocalInterpolation·()
 38 ·31·{
 39 ·32·sign0·=·sign1·=·sign2·=·sign3·=·1.0;
 40 ·33·}
 41 ·34
 42 40·BDM1Cube2DLocalInterpolation·(unsigned·int·s)
 43 ·41·{
 44 ·42·sign0·=·sign1·=·sign2·=·sign3·=·1.0;
 45 ·43·if·(s·&·1)
 46 ·44·{
 47 ·45·sign0·=·-1.0;
50 ·4648 ·46·}
51 ·47·public: 
52 ·49 
53 53·PowerFiniteElement(const·Backend·&backend_)·: 
54 ·54·backend(new·Backend(backend_)), 
55 ·55·basis_(backend->basis()), 
56 ·56·coefficients_(backend->coefficients(),·dimR), 
57 ·57·interpolation_(backend->interpolation())49 ·47·if·(s·&·2)
 50 ·48·{
 51 ·49·sign1·=·-1.0;
 52 ·50·}
 53 ·51·if·(s·&·4)
 54 ·52·{
 55 ·53·sign2·=·-1.0;
 56 ·54·}
 57 ·55·if·(s·&·8)
 58 ·56·{
 59 ·57·sign3·=·-1.0;
58 ·58·{·}60 ·58·}
59 ·5961 ·59
60 ·61 
61 65·PowerFiniteElement(const·std::shared_ptr<const·Backend>·&backendSPtr)·: 
62 ·66·backend(backendSPtr), 
63 ·67·basis_(backend->basis()), 
64 ·68·coefficients_(backend->coefficients(),·dimR), 
65 ·69·interpolation_(backend->interpolation()) 
66 ·70·{·} 
67 ·71 
68 ·73 
69 77·const·typename·Traits::Basis&·basis()·const·{·return·basis_;·} 
70 ·79 
71 83·const·typename·Traits::Coefficients&·coefficients()·const 
72 ·84·{·return·coefficients_;·}62 ·60·n0[0]·=·-1.0;
 63 ·61·n0[1]·=·0.0;
 64 ·62·n1[0]·=·1.0;
 65 ·63·n1[1]·=·0.0;
 66 ·64·n2[0]·=·0.0;
 67 ·65·n2[1]·=·-1.0;
 68 ·66·n3[0]·=·0.0;
 69 ·67·n3[1]·=·1.0;
 70 ·68·}
 71 ·69
 72 ·78·template<typename·F,·typename·C>
 73 79·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
 74 ·80·{
 75 ·81·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 76 ·82·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 77 ·83·//typedef·typename·LB::Traits::DomainFieldType·Vector;
 78 ·84
 79 ·85·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 80 DomainType>(ff);
73 ·8681 ·86
74 90·const·typename·Traits::Interpolation&·interpolation()·const 
75 ·91·{·return·interpolation_;·} 
76 93·GeometryType·type()·const·{·return·backend->type();·} 
77 ·94·};82 ·87·out.resize(8);
 83 ·88·fill(out.begin(),·out.end(),·0.0);
 84 ·89
 85 ·90·const·int·qOrder·=·4;
 86 ·91·const·QuadratureRule<Scalar,1>&·rule·=·QuadratureRules<Scalar,1>::rule
 87 (GeometryTypes::cube(1),·qOrder);
 88 ·92
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10 ····*·dune10 ····*·dune
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13 #include·<dune/localfunctions/nedelec/nedelec1stkindsimplex.hh> 
14 #include·<dune/localfunctions/nedelec/nedelec1stkindcube.hh>12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini1cube2d
 14 Classes·|·Namespaces
 15 brezzidouglasmarini1cube2dlocalbasis.hh·File·Reference
 16 #include·<array>
 17 #include·<bitset>
 18 #include·<numeric>
 19 #include·<vector>
 20 #include·<dune/common/fmatrix.hh>
 21 #include·"../../common/localbasis.hh"
15 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
 23 ·Classes
 24 class· Dune::BDM1Cube2DLocalBasis<_D,_R_>
 25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference
 26 ········quadrilateral.·More...
 27  
 28 ·Namespaces
 29 namespace· Dune
 30  
  
16 ===============================================================================31 ===============================================================================
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 13 ····*·brezzidouglasmarini1cube2d
 14 brezzidouglasmarini1cube2dlocalbasis.hh
13 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_HH 
20 ·6#define·DUNE_LOCALFUNCTIONS_NEDELEC_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALBASIS_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALBASIS_HH
21 ·723 ·7
22 ·8//·Nedelec·element·implementations·with·run-time·order 
23 ·9//·[include·them·here·once·they·exist] 
24 ·10 
25 ·11//·Nedelec·element·implementations·with·compile-time·order 
26 ·12#include·<dune/localfunctions/nedelec/nedelec1stkindsimplex.hh> 
27 ·13#include·<dune/localfunctions/nedelec/nedelec1stkindcube.hh>24 ·8#include·<array>
 25 ·9#include·<bitset>
 26 ·10#include·<numeric>
 27 ·11#include·<vector>
 28 ·12
 29 ·13#include·<dune/common/fmatrix.hh>
28 ·1430 ·14
29 ·15#endif·//·#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_HH 
30 nedelec1stkindcube.hh 
31 nedelec1stkindsimplex.hh31 ·15#include·"../../common/localbasis.hh"
 32 ·16
 33 ·17namespace·Dune
 34 ·18{
 35 ·28·template<class·D,·class·R>
 36 29·class·BDM1Cube2DLocalBasis
 37 ·30·{
 38 ·31
 39 ·32·public:
 40 ·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
 41 FieldVector<R,2>,
 42 34·Dune::FieldMatrix<R,2,2>·>·Traits;
 43 ·35
 44 37·BDM1Cube2DLocalBasis·()
 45 ·38·{
 46 ·39·for·(size_t·i=0;·i<4;·i++)
 47 ·40·sign_[i]·=·1.0;
 48 ·41·}
 49 ·42
 50 48·BDM1Cube2DLocalBasis·(std::bitset<4>·s)
 51 ·49·{
 52 ·50·for·(size_t·i=0;·i<4;·i++)
 53 ·51·sign_[i]·=·s[i]·?·-1.0·:·1.0;
 54 ·52·}
 55 ·53
 56 55·unsigned·int·size·()·const
 57 ·56·{
 58 ·57·return·8;
 59 ·58·}
 60 ·59
 61 66·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 62 ·67·std::vector<typename·Traits::RangeType>&·out)·const
 63 ·68·{
 64 ·69·out.resize(8);
 65 ·70
 66 ·71·out[0][0]·=·sign_[0]*(in[0]·-·1.0);
 67 ·72·out[0][1]·=·0.0;
 68 ·73·out[1][0]·=·6.0*in[0]*in[1]·-·3.0*in[0]-6*in[1]·+·3.0;
 69 ·74·out[1][1]·=·-3.0*in[1]*in[1]·+·3.0*in[1];
 70 ·75·out[2][0]·=·sign_[1]*(in[0]);
 71 ·76·out[2][1]·=·0.0;
 72 ·77·out[3][0]·=·-6.0*in[0]*in[1]·+·3.0*in[0];
 73 ·78·out[3][1]·=·3.0*in[1]*in[1]·-·3.0*in[1];
 74 ·79·out[4][0]·=·0.0;
 75 ·80·out[4][1]·=·sign_[2]*(in[1]·-·1.0);
 76 ·81·out[5][0]·=·3.0*in[0]*in[0]·-·3.0*in[0];
 77 ·82·out[5][1]·=·-6.0*in[0]*in[1]·+·6.0*in[0]·+·3.0*in[1]·-·3.0;
 78 ·83·out[6][0]·=·0.0;
 79 ·84·out[6][1]·=·sign_[3]*(in[1]);
 80 ·85·out[7][0]·=·-3.0*in[0]*in[0]·+·3.0*in[0];
 81 ·86·out[7][1]·=·6.0*in[0]*in[1]·-·3.0*in[1];
 82 ·87·}
 83 ·88
 84 95·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,
 85 ·96·std::vector<typename·Traits::JacobianType>&·out)·const
 86 ·97·{
 87 ·98·out.resize(8);
 88 ·99
 89 ·100·out[0][0][0]·=·sign_[0];
 90 ·101·out[0][0][1]·=·0.0;
 91 ·102·out[0][1][0]·=·0.0;
 92 ·103·out[0][1][1]·=·0.0;
 93 ·104
 94 ·105·out[1][0][0]·=·6.0*in[1]·-·3.0;
 95 ·106·out[1][0][1]·=·6.0*in[0]·-·6.0;
 96 ·107·out[1][1][0]·=·0.0;
 97 ·108·out[1][1][1]·=·-6.0*in[1]·+·3.0;
 98 ·109
 99 ·110·out[2][0][0]·=·sign_[1];
 100 ·111·out[2][0][1]·=·0.0;
 101 ·112·out[2][1][0]·=·0.0;
 102 ·113·out[2][1][1]·=·0.0;
 103 ·114
 104 ·115·out[3][0][0]·=·-6.0*in[1]·+·3.0;
 105 ·116·out[3][0][1]·=·-6.0*in[0];
 106 ·117·out[3][1][0]·=·0.0;
 107 ·118·out[3][1][1]·=·6.0*in[1]·-·3.0;
 108 ·119
 109 ·120·out[4][0][0]·=·0.0;
 110 ·121·out[4][0][1]·=·0.0;
 111 ·122·out[4][1][0]·=·0.0;
 112 ·123·out[4][1][1]·=·sign_[2];
 113 ·124
 114 ·125·out[5][0][0]·=·6.0*in[0]·-·3.0;
 115 ·126·out[5][0][1]·=·0.0;
 116 ·127·out[5][1][0]·=·-6.0*in[1]·+·6.0;
 117 ·128·out[5][1][1]·=·-6.0*in[0]·+·3.0;
 118 ·129
 119 ·130·out[6][0][0]·=·0.0;
 120 ·131·out[6][0][1]·=·0.0;
 121 ·132·out[6][1][0]·=·0.0;
 122 ·133·out[6][1][1]·=·sign_[3];
 123 ·134
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini2cube2d
12 Classes·|·Namespaces14 Classes·|·Namespaces
 15 brezzidouglasmarini2cube2dlocalcoefficients.hh·File·Reference
 16 #include·<cstddef>
 17 #include·<vector>
 18 #include·"../../common/localkey.hh"
13 lagrange.hh·File·Reference 
14 Convenience·header·that·includes·all·implementations·of·Lagrange·finite 
15 elements.·More... 
16 #include·<dune/localfunctions/utility/localfiniteelement.hh> 
17 #include·<dune/localfunctions/utility/dglocalcoefficients.hh> 
18 #include·<dune/localfunctions/lagrange/lagrangecoefficients.hh> 
19 #include·<dune/localfunctions/lagrange/interpolation.hh> 
20 #include·<dune/localfunctions/lagrange/lagrangebasis.hh> 
21 #include·<dune/localfunctions/lagrange/lagrangecube.hh> 
22 #include·<dune/localfunctions/lagrange/lagrangepyramid.hh> 
23 #include·<dune/localfunctions/lagrange/lagrangeprism.hh> 
24 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
25 #include·<dune/localfunctions/lagrange/p0.hh> 
26 #include·<dune/localfunctions/lagrange/pq22d.hh> 
27 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
28 ·Classes20 ·Classes
29 class· Dune::LagrangeLocalFiniteElement<_LP,_dimDomain,_D,_R,_SF,_CF_> 
30  ······Lagrange·local·finite·elements·for·a·given·set·of·interpolation·points.21 class· Dune::BDM2Cube2DLocalCoefficients
 22  ······Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·quadrilaterals.
31 ········More...23 ········More...
32  24  
33 ·Namespaces25 ·Namespaces
34 namespace· Dune26 namespace· Dune
35  27  
36 *****·Detailed·Description·***** 
37 Convenience·header·that·includes·all·implementations·of·Lagrange·finite 
38 elements. 
  
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 lagrange.hh12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini2cube2d
 14 brezzidouglasmarini2cube2dlocalcoefficients.hh
13 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_HH 
20 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH
21 ·723 ·7
22 ·12//·Headers·for·Lagrange·elements·with·run-time·order 
23 ·13#include·<dune/localfunctions/utility/localfiniteelement.hh> 
24 ·14#include·<dune/localfunctions/utility/dglocalcoefficients.hh>24 ·8#include·<cstddef>
 25 ·9#include·<vector>
 26 ·10
 27 ·11#include·"../../common/localkey.hh"
 28 ·12
 29 ·13namespace·Dune
 30 ·14{
25 ·1531 ·15
 32 23·class·BDM2Cube2DLocalCoefficients
 33 ·24·{
 34 ·25
 35 ·26·public:
 36 28·BDM2Cube2DLocalCoefficients()·:·li(14)
26 ·16#include·<dune/localfunctions/lagrange/lagrangecoefficients.hh> 
27 ·17#include·<dune/localfunctions/lagrange/interpolation.hh> 
28 ·18#include·<dune/localfunctions/lagrange/lagrangebasis.hh> 
29 ·19 
30 ·20//·Headers·for·Lagrange·elements·with·compile-time·order 
31 ·21#include·<dune/localfunctions/lagrange/lagrangecube.hh> 
32 ·22#include·<dune/localfunctions/lagrange/lagrangepyramid.hh> 
33 ·23#include·<dune/localfunctions/lagrange/lagrangeprism.hh> 
34 ·24#include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
35 ·25#include·<dune/localfunctions/lagrange/p0.hh> 
36 ·26#include·<dune/localfunctions/lagrange/pq22d.hh> 
37 ·27 
38 ·28namespace·Dune 
39 ·29{37 ·29·{
 38 ·30·for·(std::size_t·i·=·0;·i·<·4;·++i)
 39 ·31·{
 40 ·32·li[3·*·i]·=·LocalKey(i,1,0);
 41 ·33·li[3·*·i·+·1]·=·LocalKey(i,1,1);
 42 ·34·li[3·*·i·+·2]·=·LocalKey(i,1,2);
 43 ·35·}
 44 ·36·li[12]·=·LocalKey(0,0,0);
 45 ·37·li[13]·=·LocalKey(0,0,1);
 46 ·38·}
 47 ·39
 48 41·std::size_t·size()·const
 49 ·42·{
 50 ·43·return·14;
 51 ·44·}
 52 ·45
 53 47·const·LocalKey&·localKey(std::size_t·i)·const
 54 ·48·{
 55 ·49·return·li[i];
 56 ·50·}
 57 ·51
 58 ·52·private:
 59 ·53·std::vector<LocalKey>·li;
 60 ·54·};
 61 ·55}·//·end·namespace·Dune
 62 ·56#endif·/
 63 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH
40 ·59·template<·template·<class,unsigned·int>·class·LP, 
41 ·60·unsigned·int·dimDomain,·class·D,·class·R, 
42 ·61·class·SF=R,·class·CF=SF·> 
43 62·class·LagrangeLocalFiniteElement 
44 ·63·:·public·GenericLocalFiniteElement<·LagrangeBasisFactory<·LP,·dimDomain, 
45 SF,·CF·>, 
46 ·64·LagrangeCoefficientsFactory<LP,·dimDomain,·SF·>, 
47 ·65·LagrangeInterpolationFactory<·LP,·dimDomain,·SF·>·> 
48 ·66·{ 
49 ·67·typedef·GenericLocalFiniteElement<_LagrangeBasisFactory<_LP,_dimDomain,_SF, 
50 CF_>, 
51 ·68·LagrangeCoefficientsFactory<LP,_dimDomain,_SF_>, 
52 ·69·LagrangeInterpolationFactory<_LP,_dimDomain,_SF_>·>·Base; 
53 ·70·public: 
54 71·typedef·typename·Base::Traits·Traits; 
55 ·72 
56 75·LagrangeLocalFiniteElement·(·const·GeometryType·&gt,·unsigned·int·order·) 
57 ·76·:·Base(·gt,·order·) 
58 ·77·{} 
59 ·78·}; 
60 ·79} 
61 ·80 
62 ·81#endif·//·#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_HH 
63 dglocalcoefficients.hh 
64 lagrangebasis.hh 
65 lagrangesimplex.hh 
66 lagrangeprism.hh 
67 pq22d.hh 
68 p0.hh 
69 lagrangepyramid.hh 
70 lagrangecube.hh 
71 lagrangecoefficients.hh 
72 Dune64 Dune
73 Definition·bdfmcube.hh:1865 Definition·bdfmcube.hh:18
 66 Dune::BDM2Cube2DLocalCoefficients
 67 Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·quadrilaterals.
 68 Definition·brezzidouglasmarini2cube2dlocalcoefficients.hh:24
 69 Dune::BDM2Cube2DLocalCoefficients::BDM2Cube2DLocalCoefficients
 70 BDM2Cube2DLocalCoefficients()
 71 Standard·constructor.
 72 Definition·brezzidouglasmarini2cube2dlocalcoefficients.hh:28
 73 Dune::BDM2Cube2DLocalCoefficients::localKey
 74 const·LocalKey·&·localKey(std::size_t·i)·const
 75 get·i'th·index
 76 Definition·brezzidouglasmarini2cube2dlocalcoefficients.hh:47
 77 Dune::BDM2Cube2DLocalCoefficients::size
 78 std::size_t·size()·const
 79 number·of·coefficients
 80 Definition·brezzidouglasmarini2cube2dlocalcoefficients.hh:41
 81 Dune::LocalKey
 82 Describe·position·of·one·degree·of·freedom.
 83 Definition·localkey.hh:23
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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12 ····*·dualmortarbasis12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini2cube2d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 dualpq1factory.hh·File·Reference15 brezzidouglasmarini2cube2dlocalbasis.hh·File·Reference
15 #include·<map>16 #include·<array>
16 #include·<dune/localfunctions/common/virtualinterface.hh> 
17 #include·<dune/localfunctions/common/virtualwrappers.hh> 
18 #include·<dune/localfunctions/dualmortarbasis.hh>17 #include·<bitset>
 18 #include·<numeric>
 19 #include·<vector>
 20 #include·<dune/common/fmatrix.hh>
 21 #include·"../../common/localbasis.hh"
19 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
20 ·Classes23 ·Classes
21 class· Dune::DualPQ1LocalFiniteElementCache<_D,_R,_dim,_faceDual_>24 class· Dune::BDM2Cube2DLocalBasis<_D,_R_>
 25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.
 26 ········More...
22  27  
23 ·Namespaces28 ·Namespaces
24 namespace· Dune29 namespace· Dune
25  30  
  
26 ===============================================================================31 ===============================================================================
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·dualmortarbasis 
13 dualpq1factory.hh12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini2cube2d
 14 brezzidouglasmarini2cube2dlocalbasis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_DUAL_P1_Q1_FACTORY_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_DUAL_P1_Q1_FACTORY_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALBASIS_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALBASIS_HH
22 ·723 ·7
23 ·8#include·<map>24 ·8#include·<array>
24 ·9 
25 ·10#include·<dune/localfunctions/common/virtualinterface.hh> 
26 ·11#include·<dune/localfunctions/common/virtualwrappers.hh>25 ·9#include·<bitset>
 26 ·10#include·<numeric>
 27 ·11#include·<vector>
27 ·1228 ·12
28 ·13#include·<dune/localfunctions/dualmortarbasis.hh>29 ·13#include·<dune/common/fmatrix.hh>
29 ·1430 ·14
30 ·15namespace·Dune·{31 ·15#include·"../../common/localbasis.hh"
31 ·1632 ·16
 33 ·17namespace·Dune
32 ·17template<class·D,·class·R,·int·dim,·bool·faceDual=false> 
33 18class·DualPQ1LocalFiniteElementCache 
34 ·19{34 ·18{
 35 ·28·template<class·D,·class·R>
 36 29·class·BDM2Cube2DLocalBasis
 37 ·30·{
 38 ·31
35 ·20protected: 
36 21·typedef·Dune::DualP1LocalFiniteElement<D,R,dim,faceDual>·DualP1; 
37 22·typedef·Dune::DualQ1LocalFiniteElement<D,R,dim,faceDual>·DualQ1; 
38 23·typedef·typename·DualP1::Traits::LocalBasisType::Traits·T; 
39 24·typedef·Dune::LocalFiniteElementVirtualInterface<T>·FE; 
40 25·typedef·std::map<Dune::GeometryType,FE*>·FEMap; 
41 ·26 
42 ·27public:39 ·32·public:
43 29·typedef·FE·FiniteElementType; 
44 ·30 
45 31·~DualPQ1LocalFiniteElementCache()40 ·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,
 41 ·34·R,2,Dune::FieldVector<R,2>,
 42 35·Dune::FieldMatrix<R,2,2>·>·Traits;
 43 ·36
 44 38·BDM2Cube2DLocalBasis()
46 ·32·{45 ·39·{
 46 ·40·for·(size_t·i=0;·i<4;·i++)
 47 ·41·sign_[i]·=·1.0;
47 ·33·typename·FEMap::iterator·it·=·cache_.begin(); 
48 ·34·typename·FEMap::iterator·end·=·cache_.end(); 
49 ·35·for(;·it!=end;·++it) 
50 ·36·delete·it->second; 
51 ·37·} 
52 ·38 
53 40·static·FE*·create(const·Dune::GeometryType&·gt) 
54 ·41·{ 
55 ·42·if·(gt.isSimplex()) 
56 ·43·return·new·Dune::LocalFiniteElementVirtualImp<DualP1>(DualP1()); 
57 ·44·if·(gt.isCube()) 
58 ·45·return·new·Dune::LocalFiniteElementVirtualImp<DualQ1>(DualQ1()); 
59 ·46·return·0; 
60 ·47·}48 ·42·}
61 ·48 
62 50·const·FiniteElementType&·get(const·Dune::GeometryType&·gt)·const49 ·43
 50 49·BDM2Cube2DLocalBasis(std::bitset<4>·s)
63 ·51·{51 ·50·{
64 ·52·typename·FEMap::const_iterator·it·=·cache_.find(gt); 
65 ·53·if·(it==cache_.end())52 ·51·for·(size_t·i=0;·i<4;·i++)
 53 ·52·sign_[i]·=·s[i]·?·-1.0·:·1.0;
 54 ·53·}
 55 ·54
 56 56·unsigned·int·size()·const
66 ·54·{57 ·57·{
 58 ·58·return·14;
67 ·55·FiniteElementType*·fe·=·create(gt); 
68 ·56 
69 ·57·if·(fe==0) 
70 ·58·DUNE_THROW(Dune::NotImplemented,"No·Dual·P/Q1·like·local·finite·element 
71 available·for·geometry·type·"·<<·gt); 
72 ·5959 ·59·}
 60 ·60
 61 67·inline·void·evaluateFunction(const·typename·Traits::DomainType&·in,
 62 ·68·std::vector<typename·Traits::RangeType>&·out)·const
73 ·60·cache_[gt]·=·fe; 
74 ·61·return·*fe; 
75 ·62·} 
76 ·63·return·*(it->second); 
77 ·64·} 
78 ·65 
79 ·66protected: 
80 67·mutable·FEMap·cache_; 
81 ·68}; 
82 ·6963 ·69·{
83 ·70}·//·namespace·Dune64 ·70·out.resize(size());
84 ·7165 ·71
85 ·72#endif·//·DUNE_LOCALFUNCTIONS_DUAL_P1_Q1_FACTORY_HH 
86 dualmortarbasis.hh 
87 virtualwrappers.hh 
88 virtualinterface.hh66 ·72·out[0][0]·=·sign_[0]*(-2.25·+·5.25*in[0]·+·7.5*in[1]·-·7.5*in[0]*in[1]·-
 67 3.0*in[0]*in[0]·-·7.5*in[1]*in[1]·+·7.5*in[0]*in[1]*in[1]);
 68 ·73·out[0][1]·=·sign_[0]*(-1.25*in[1]·+·3.75*in[1]*in[1]·-·2.5*in[1]*in[1]*in
 69 [1]);
 70 ·74·out[1][0]·=·3.0·-·3.0*in[0]-6.0*in[1]·+·6.0*in[0]*in[1];
 71 ·75·out[1][1]·=·0.0;
 72 ·76·out[2][0]·=·sign_[0]*(-3.75·+·3.75*in[0]·+·22.5*in[1]·-·22.5*in[0]*in[1]·-
 73 22.5*in[1]*in[1]·+·22.5*in[0]*in[1]*in[1]);
 74 ·77·out[2][1]·=·sign_[0]*(-3.75*in[1]·+·11.25*in[1]*in[1]·-·7.5*in[1]*in[1]*in
 75 [1]);
 76 ·78·out[3][0]·=·sign_[1]*(-0.75*in[0]·-·7.5*in[0]*in[1]·+·3.0*in[0]*in[0]·+
 77 7.5*in[0]*in[1]*in[1]);
 78 ·79·out[3][1]·=·sign_[1]*(-1.25*in[1]·+·3.75*in[1]*in[1]·-·2.5*in[1]*in[1]*in
 79 [1]);
 80 ·80·out[4][0]·=·3.0*in[0]·-·6.0*in[0]*in[1];
 81 ·81·out[4][1]·=·0.0;
 82 ·82·out[5][0]·=·sign_[1]*(+3.75*in[0]·-·22.5*in[0]*in[1]·+·22.5*in[0]*in[1]*in
 83 [1]);
 84 ·83·out[5][1]·=·sign_[1]*(-3.75*in[1]·+·11.25*in[1]*in[1]·-·7.5*in[1]*in[1]*in
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 13 ····*·brezzidouglasmarini2cube2d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 dualp1.hh·File·Reference15 brezzidouglasmarini2cube2dlocalinterpolation.hh·File·Reference
 16 #include·<vector>
15 #include·<dune/geometry/type.hh>17 #include·<dune/geometry/quadraturerules.hh>
16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>18 #include·<dune/localfunctions/common/localinterpolation.hh>
17 #include·"dualp1/dualp1localbasis.hh" 
18 #include·"dualp1/dualp1localcoefficients.hh" 
19 #include·"dualp1/dualp1localinterpolation.hh" 
20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
21 ·Classes20 ·Classes
22 class· Dune::DualP1LocalFiniteElement<_D,_R,_dim,_faceDual_> 
23  ······The·local·dual·p1·finite·element·on·simplices.·More...21 class· Dune::BDM2Cube2DLocalInterpolation<_LB_>
 22  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.
 23 ········More...
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
27  27  
  
28 ===============================================================================28 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·dualp1.hh·Source·File</title>8 <title>dune-localfunctions:·brezzidouglasmarini2cube2dlocalinterpolation.hh·Source·File</title>
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
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13 dualp1.hh12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini2cube2d
 14 brezzidouglasmarini2cube2dlocalinterpolation.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_DUALMORTARBASIS_DUALP1_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_DUALMORTARBASIS_DUALP1_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH
22 ·723 ·7
23 ·8#include·<dune/geometry/type.hh>24 ·8#include·<vector>
24 ·925 ·9
 26 ·10#include·<dune/geometry/quadraturerules.hh>
25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>27 ·11#include·<dune/localfunctions/common/localinterpolation.hh>
 28 ·12
26 ·11#include·"dualp1/dualp1localbasis.hh" 
27 ·12#include·"dualp1/dualp1localcoefficients.hh" 
28 ·13#include·"dualp1/dualp1localinterpolation.hh" 
29 ·14 
30 ·15namespace·Dune29 ·13namespace·Dune
31 ·16{30 ·14{
32 ·17 
33 ·33·template<class·D,·class·R,·int·dim,·bool·faceDual=false> 
34 34·class·DualP1LocalFiniteElement 
35 ·35·{31 ·15
 32 ·24·template<class·LB>
 33 25·class·BDM2Cube2DLocalInterpolation
 34 ·26·{
 35 ·27
36 ·36·public:36 ·28·public:
 37 30·BDM2Cube2DLocalInterpolation()
 38 ·31·{
 39 ·32·sign0·=·sign1·=·sign2·=·sign3·=·1.0;
 40 ·33·}
 41 ·34
 42 40·BDM2Cube2DLocalInterpolation(unsigned·int·s)
37 ·39·typedef 
38 LocalFiniteElementTraits<DualP1LocalBasis<D,R,dim,faceDual>,DualP1LocalCoefficients<dim>, 
39 40·DualP1LocalInterpolation<dim,DualP1LocalBasis<D,R,dim,faceDual>·>·>·Traits; 
40 ·41 
41 44·DualP1LocalFiniteElement·() 
42 ·45·{} 
43 ·46 
44 49·const·typename·Traits::LocalBasisType&·localBasis·()·const 
45 ·50·{ 
46 ·51·return·basis; 
47 ·52·} 
48 ·53 
49 56·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
50 ·57·{ 
51 ·58·return·coefficients; 
52 ·59·} 
53 ·60 
54 63·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
55 ·64·{43 ·41·{
56 ·65·return·interpolation;44 ·42·sign0·=·sign1·=·sign2·=·sign3·=·1.0;
 45 ·43·if·(s·&·1)
 46 ·44·{
 47 ·45·sign0·=·-1.0;
57 ·66·}48 ·46·}
58 ·67 
59 69·unsigned·int·size·()·const49 ·47·if·(s·&·2)
 50 ·48·{
 51 ·49·sign1·=·-1.0;
 52 ·50·}
 53 ·51·if·(s·&·4)
 54 ·52·{
 55 ·53·sign2·=·-1.0;
 56 ·54·}
 57 ·55·if·(s·&·8)
 58 ·56·{
 59 ·57·sign3·=·-1.0;
 60 ·58·}
 61 ·59
 62 ·60·n0[0]·=·-1.0;
 63 ·61·n0[1]·=·0.0;
 64 ·62·n1[0]·=·1.0;
 65 ·63·n1[1]·=·0.0;
 66 ·64·n2[0]·=·0.0;
 67 ·65·n2[1]·=·-1.0;
 68 ·66·n3[0]·=·0.0;
 69 ·67·n3[1]·=·1.0;
 70 ·68·}
 71 ·69
 72 ·78·template<typename·F,·typename·C>
 73 79·void·interpolate(const·F&·ff,·std::vector<C>&·out)·const
60 ·70·{74 ·80·{
 75 ·81·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 76 ·82·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 77 ·83·typedef·typename·LB::Traits::DomainFieldType·Vector;
 78 ·84
 79 ·85·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 80 DomainType>(ff);
61 ·71·return·basis.size(); 
62 ·72·} 
63 ·73 
64 76·static·constexpr·GeometryType·type·() 
65 ·77·{ 
66 ·78·return·GeometryTypes::simplex(dim); 
67 ·79·} 
68 ·80 
69 ·81·private: 
70 ·82·DualP1LocalBasis<D,R,dim,faceDual>·basis; 
71 ·83·DualP1LocalCoefficients<dim>·coefficients; 
72 ·84·DualP1LocalInterpolation<dim,DualP1LocalBasis<D,R,dim,faceDual>·> 
73 interpolation; 
74 ·85·}; 
75 ·8681 ·86
76 ·87 
77 ·8882 ·87·out.resize(14);
 83 ·88·fill(out.begin(),·out.end(),·0.0);
78 ·89}84 ·89
79 ·9085 ·90·const·int·qOrder·=·4;
 86 ·91·const·QuadratureRule<Scalar,1>&·rule·=·QuadratureRules<Scalar,1>::rule
 87 (GeometryTypes::cube(1),·qOrder);
 88 ·92
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 12 ····*·brezzidouglasmarini
12 ····*·dualmortarbasis 
13 ····*·dualq1 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 dualq1localinterpolation.hh·File·Reference 
16 #include·<array> 
17 #include·<vector> 
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/common/fmatrix.hh> 
20 #include·<dune/localfunctions/common/localinterpolation.hh>14 brezzidouglasmarini1cube2d.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
 16 #include·"../common/localfiniteelementtraits.hh"
 17 #include·"brezzidouglasmarini1cube2d/brezzidouglasmarini1cube2dlocalbasis.hh"
 18 #include·"brezzidouglasmarini1cube2d/
 19 brezzidouglasmarini1cube2dlocalcoefficients.hh"
 20 #include·"brezzidouglasmarini1cube2d/
 21 brezzidouglasmarini1cube2dlocalinterpolation.hh"
21 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
22 ·Classes23 ·Classes
23 class· Dune::DualQ1LocalInterpolation<_dim,_LB_>24 class· Dune::BDM1Cube2DLocalFiniteElement<_D,_R_>
 25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.
 26 ········More...
24  27  
25 ·Namespaces28 ·Namespaces
26 namespace· Dune29 namespace· Dune
27  30  
  
28 ===============================================================================31 ===============================================================================
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8 <title>dune-localfunctions:·dualq1localinterpolation.hh·Source·File</title>8 <title>dune-localfunctions:·brezzidouglasmarini1cube2d.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·brezzidouglasmarini
 13 brezzidouglasmarini1cube2d.hh
12 ····*·dualmortarbasis 
13 ····*·dualq1 
14 dualq1localinterpolation.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_DUAL_Q1_LOCALINTERPOLATION_HH 
22 ·6#define·DUNE_DUAL_Q1_LOCALINTERPOLATION_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE2D_LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE2D_LOCALFINITEELEMENT_HH
23 ·722 ·7
24 ·8#include·<array> 
25 ·9#include·<vector> 
26 ·10 
27 ·11#include·<dune/common/fvector.hh> 
28 ·12#include·<dune/common/fmatrix.hh> 
29 ·13#include·<dune/localfunctions/common/localinterpolation.hh>23 ·8#include·<dune/geometry/type.hh>
 24 ·9
 25 ·10#include·"../common/localfiniteelementtraits.hh"
 26 ·11#include·"brezzidouglasmarini1cube2d/
 27 brezzidouglasmarini1cube2dlocalbasis.hh"
 28 ·12#include·"brezzidouglasmarini1cube2d/
 29 brezzidouglasmarini1cube2dlocalcoefficients.hh"
 30 ·13#include·"brezzidouglasmarini1cube2d/
 31 brezzidouglasmarini1cube2dlocalinterpolation.hh"
30 ·1432 ·14
31 ·15namespace·Dune33 ·15namespace·Dune
32 ·16{34 ·16{
 35 ·25·template<class·D,·class·R>
 36 26·class·BDM1Cube2DLocalFiniteElement
33 ·17 
34 ·19·template<int·dim,·class·LB> 
35 20·class·DualQ1LocalInterpolation 
36 ·21·{37 ·27·{
37 ·22·public: 
38 ·23 
39 24·void·setCoefficients(const·std::array<Dune::FieldVector<typename·LB:: 
40 Traits::RangeFieldType,·(1<<dim)>·,(1<<dim)>&·coefficients) 
41 ·25·{ 
42 ·26·coefficients_·=·coefficients; 
43 ·27·} 
44 ·2838 ·28
 39 ·29·public:
 40 ·30·typedef·LocalFiniteElementTraits<
 41 ·31·BDM1Cube2DLocalBasis<D,R>,
 42 ·32·BDM1Cube2DLocalCoefficients,
 43 33·BDM1Cube2DLocalInterpolation<BDM1Cube2DLocalBasis<D,R>·>·>·Traits;
 44 ·34
 45 36·BDM1Cube2DLocalFiniteElement·()
 46 ·37·{}
 47 ·38
 48 44·BDM1Cube2DLocalFiniteElement·(int·s)·:
 49 ·45·basis(s),
 50 ·46·interpolation(s)
 51 ·47·{}
 52 ·48
 53 49·const·typename·Traits::LocalBasisType&·localBasis·()·const
45 ·29 
46 ·31·template<typename·F,·typename·C> 
47 32·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
48 ·33·{ 
49 ·34·typename·LB::Traits::DomainType·x; 
50 ·35 
51 ·36·auto&&·f·=·Impl::makeFunctionWithCallOperator<decltype(x)>(ff); 
52 ·37 
53 ·38·const·int·size·=·1<<dim; 
54 ·39 
55 ·40·//·compute·Q1·interpolation·coefficients 
56 ·41·Dune::FieldVector<C,size>·q1Coefficients; 
57 ·42 
58 ·43·for·(int·i=0;·i<·(1<<dim);·i++)·{ 
59 ·44 
60 ·45·//·Generate·coordinate·of·the·i-th·corner·of·the·reference·cube 
61 ·46·//·We·could·use·the·ReferenceElement·for·this·as·well,·but·it·is 
62 ·47·//·still·not·clear·how·dune-localfunctions·should·have·access·to·them. 
63 ·48·for·(int·j=0;·j<dim;·j++) 
64 ·49·x[j]·=·(i·&·(1<<j))·?·1.0·:·0.0; 
65 ·5054 ·50·{
 55 ·51·return·basis;
66 ·51·q1Coefficients[i]·=·f(x); 
67 ·52 
68 ·53·}56 ·52·}
69 ·54 
70 ·55·out.resize(size); 
71 ·56 
72 ·57·//·solve·a·linear·system·to·compute·the·dual·coefficients 
73 ·58·Dune::FieldMatrix<C,size,size>·mat; 
74 ·59 
75 ·60·for·(int·i=0;·i<size;·i++) 
76 ·61·for·(int·j=0;·j<size;·j++) 
77 ·62·mat[i][j]·=·coefficients_[j][i];57 ·53
 58 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 59 ·55·{
 60 ·56·return·coefficients;
 61 ·57·}
 62 ·58
 63 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 64 ·60·{
 65 ·61·return·interpolation;
 66 ·62·}
78 ·6367 ·63
 68 65·unsigned·int·size·()·const
79 ·64·//·now·solve·for·the·weights 
80 ·65·Dune::FieldVector<C,size>·sol(0); 
81 ·6669 ·66·{
82 ·67·mat.solve(sol,q1Coefficients);70 ·67·return·basis.size();
83 ·6871 ·68·}
84 ·69·//·write·result·in·out·vector 
85 ·70·for·(int·i=0;·i<size;·i++) 
86 ·71·out[i]·=·sol[i];72 ·69
 73 70·static·constexpr·GeometryType·type·()
 74 ·71·{
 75 ·72·return·GeometryTypes::quadrilateral;
87 ·72·}76 ·73·}
88 ·7377 ·74
89 ·74·private:78 ·75·private:
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·brezzidouglasmarini
12 ····*·dualmortarbasis 
13 ····*·dualq1 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 dualq1localbasis.hh·File·Reference 
16 #include·<array> 
17 #include·<numeric> 
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/common/fmatrix.hh> 
20 #include·<dune/localfunctions/common/localbasis.hh>14 brezzidouglasmarinicube.hh·File·Reference
 15 #include·<dune/localfunctions/brezzidouglasmarini/
 16 brezzidouglasmarini1cube2d.hh>
 17 #include·<dune/localfunctions/brezzidouglasmarini/
 18 brezzidouglasmarini1cube3d.hh>
 19 #include·<dune/localfunctions/brezzidouglasmarini/
 20 brezzidouglasmarini2cube2d.hh>
21 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
22 ·Classes22 ·Classes
23 class· Dune::DualQ1LocalBasis<_D,_R,_dim_> 
24  ······Dual·Lagrange·shape·functions·of·order·1·on·the·reference·cube.·More...23 class· Dune::BrezziDouglasMariniCubeLocalFiniteElement<_D,_R,_2,_1_>
 24  ······Brezzi-Douglas-Marini·local·finite·elements·for·cubes·with·dimension·2
 25 ········and·order·1.·More...
 26  
 27 class· Dune::BrezziDouglasMariniCubeLocalFiniteElement<_D,_R,_2,_2_>
 28  ······Brezzi-Douglas-Marini·local·finite·elements·for·cubes·with·dimension·2
 29 ········and·order·2.·More...
 30  
 31 class· Dune::BrezziDouglasMariniCubeLocalFiniteElement<_D,_R,_3,_1_>
 32  ······Brezzi-Douglas-Marini·local·finite·elements·for·cubes·with·dimension·3
 33 ········and·order·1.·More...
25  34  
26 ·Namespaces35 ·Namespaces
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28  37  
  
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11 ····*·localfunctions11 ····*·localfunctions
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 13 brezzidouglasmarinicube.hh
12 ····*·dualmortarbasis 
13 ····*·dualq1 
14 dualq1localbasis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_DUAL_Q1_LOCALBASIS_HH 
22 ·6#define·DUNE_DUAL_Q1_LOCALBASIS_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINICUBE_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINICUBE_HH
23 ·722 ·7
24 ·8#include·<array> 
25 ·9#include·<numeric> 
26 ·10 
27 ·11#include·<dune/common/fvector.hh> 
28 ·12#include·<dune/common/fmatrix.hh> 
29 ·13 
30 ·14#include·<dune/localfunctions/common/localbasis.hh> 
31 ·1523 ·8#include·<dune/localfunctions/brezzidouglasmarini/
 24 brezzidouglasmarini1cube2d.hh>
 25 ·9#include·<dune/localfunctions/brezzidouglasmarini/
 26 brezzidouglasmarini1cube3d.hh>
 27 ·10#include·<dune/localfunctions/brezzidouglasmarini/
 28 brezzidouglasmarini2cube2d.hh>
 29 ·11
 30 ·12
32 ·16namespace·Dune31 ·13namespace·Dune
33 ·17{32 ·14{
 33 ·23·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
 34 24·class·BrezziDouglasMariniCubeLocalFiniteElement;
 35 ·25
34 ·27·template<class·D,·class·R,·int·dim>36 ·29·template<class·D,·class·R>
35 28·class·DualQ1LocalBasis37 30·class·BrezziDouglasMariniCubeLocalFiniteElement<D,·R,·2,·1>
 38 ·31·:·public·BDM1Cube2DLocalFiniteElement<D,·R>
36 ·29·{39 ·32·{
37 ·30·public:40 ·33·public:
38 ·31·typedef·LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune:: 
39 FieldVector<R,1>, 
40 32·Dune::FieldMatrix<R,1,dim>·>·Traits; 
41 ·33 
42 34·void·setCoefficients(const·std::array<Dune::FieldVector<R,·(1<<dim)>·, 
43 (1<<dim)>&·coefficients)41 35·BrezziDouglasMariniCubeLocalFiniteElement()
 42 ·36·{}
 43 ·37
 44 43·BrezziDouglasMariniCubeLocalFiniteElement(int·s)
 45 ·44·:·BDM1Cube2DLocalFiniteElement<D,·R>::BDM1Cube2DLocalFiniteElement(s)
 46 ·45·{}
 47 ·46·};
 48 ·47
 49 ·51·template<class·D,·class·R>
 50 52·class·BrezziDouglasMariniCubeLocalFiniteElement<D,·R,·2,·2>
 51 ·53·:·public·BDM2Cube2DLocalFiniteElement<D,·R>
44 ·35·{52 ·54·{
 53 ·55·public:
 54 57·BrezziDouglasMariniCubeLocalFiniteElement()
 55 ·58·{}
45 ·36·coefficients_·=·coefficients; 
46 ·37·} 
47 ·38 
48 40·unsigned·int·size·()·const 
49 ·41·{ 
50 ·42·return·1<<dim; 
51 ·43·} 
52 ·44 
53 46·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
54 ·47·std::vector<typename·Traits::RangeType>&·out)·const 
55 ·48·{ 
56 ·49·//·compute·q1·values 
57 ·50·std::vector<typename·Traits::RangeType>·q1Values(size()); 
58 ·51 
59 ·52·for·(size_t·i=0;·i<size();·i++)·{ 
60 ·53 
61 ·54·q1Values[i]·=·1; 
62 ·55 
63 ·56·for·(int·j=0;·j<dim;·j++) 
64 ·57·//·if·j-th·bit·of·i·is·set·multiply·with·in[j],·else·with·1-in[j] 
65 ·58·q1Values[i]·*=·(i·&·(1<<j))·?·in[j]·:·1-in[j]; 
66 ·5956 ·59
 57 65·BrezziDouglasMariniCubeLocalFiniteElement(int·s)
 58 ·66·:·BDM2Cube2DLocalFiniteElement<D,·R>::BDM2Cube2DLocalFiniteElement(s)
 59 ·67·{}
 60 ·68·};
 61 ·69
 62 ·73·template<class·D,·class·R>
 63 74·class·BrezziDouglasMariniCubeLocalFiniteElement<D,·R,·3,·1>
 64 ·75·:·public·BDM1Cube3DLocalFiniteElement<D,·R>
67 ·60·} 
68 ·61 
69 ·62·//·compute·the·dual·values·by·using·that·they·are·linear·combinations·of·q1 
70 functions 
71 ·63·out.resize(size()); 
72 ·64·for·(size_t·i=0;·i<size();·i++) 
73 ·65·out[i]·=·0; 
74 ·66 
75 ·67·for·(size_t·i=0;·i<size();·i++) 
76 ·68·for·(size_t·j=0;·j<size();·j++) 
77 ·69·out[i]·+=·coefficients_[i][j]*q1Values[j]; 
78 ·70 
79 ·71 
80 ·72·} 
81 ·73 
82 ·75·inline·void 
83 76·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position 
84 ·77·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value 
85 ·78·{65 ·76·{
86 ·79·//·compute·q1·jacobians 
87 ·80·std::vector<typename·Traits::JacobianType>·q1Jacs(size());66 ·77·public:
 67 79·BrezziDouglasMariniCubeLocalFiniteElement()
 68 ·80·{}
88 ·8169 ·81
 70 87·BrezziDouglasMariniCubeLocalFiniteElement(int·s)
 71 ·88·:·BDM1Cube3DLocalFiniteElement<D,·R>::BDM1Cube3DLocalFiniteElement(s)
 72 ·89·{}
 73 ·90·};
89 ·82·//·Loop·over·all·shape·functions 
90 ·83·for·(size_t·i=0;·i<size();·i++)·{ 
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16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
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18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_DUAL_Q1_LOCALCOEFFICIENTS_HH 
22 ·6#define·DUNE_DUAL_Q1_LOCALCOEFFICIENTS_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALBASIS_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALBASIS_HH
23 ·723 ·7
24 ·8#include·<cstddef>24 ·8#include·<array>
25 ·9#include·<iostream>25 ·9#include·<bitset>
 26 ·10#include·<numeric>
26 ·10#include·<vector>27 ·11#include·<vector>
 28 ·12
 29 ·13#include·<dune/common/fmatrix.hh>
 30 ·14
 31 ·15#include·"../../common/localbasis.hh"
27 ·11 
28 ·12#include·<dune/localfunctions/common/localkey.hh> 
29 ·13 
30 ·14namespace·Dune 
31 ·15{ 
32 ·1632 ·16
33 ·23·template·<int·dim> 
34 24·class·DualQ1LocalCoefficients 
35 ·25·{33 ·17namespace·Dune
 34 ·18{
 35 ·29·template<class·D,·class·R>
 36 30·class·BDM1Cube3DLocalBasis
 37 ·31·{
 38 ·32
36 ·26·public:39 ·33·public:
37 28·DualQ1LocalCoefficients·()·:·li(1<<dim)40 ·34·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,
 41 ·35·R,3,Dune::FieldVector<R,3>,
 42 36·Dune::FieldMatrix<R,3,3>·>·Traits;
 43 ·37
 44 39·BDM1Cube3DLocalBasis()
 45 ·40·{
 46 ·41·for·(size_t·i=0;·i<6;·i++)
 47 ·42·sign_[i]·=·1.0;
 48 ·43·}
 49 ·44
 50 50·BDM1Cube3DLocalBasis(std::bitset<6>·s)
 51 ·51·{
 52 ·52·for·(size_t·i=0;·i<6;·i++)
 53 ·53·sign_[i]·=·s[i]·?·-1.0·:·1.0;
 54 ·54·}
 55 ·55
 56 57·unsigned·int·size()·const
 57 ·58·{
 58 ·59·return·18;
 59 ·60·}
 60 ·61
 61 68·inline·void·evaluateFunction(const·typename·Traits::DomainType&·in,
 62 ·69·std::vector<typename·Traits::RangeType>&·out)·const
 63 ·70·{
 64 ·71·out.resize(size());
 65 ·72
 66 ·73·out[0][0]·=·sign_[0]·*·(in[0]·-·1.0);
 67 ·74·out[0][1]·=·0;
 68 ·75·out[0][2]·=·0;
 69 ·76·out[1][0]·=·sign_[1]·*·in[0];
 70 ·77·out[1][1]·=·0;
 71 ·78·out[1][2]·=·0;
 72 ·79·out[2][0]·=·0;
 73 ·80·out[2][1]·=·sign_[2]·*·(in[1]·-·1.0);
 74 ·81·out[2][2]·=·0;
 75 ·82·out[3][0]·=·0;
 76 ·83·out[3][1]·=·sign_[3]·*·in[1];
 77 ·84·out[3][2]·=·0;
 78 ·85·out[4][0]·=·0;
 79 ·86·out[4][1]·=·0;
 80 ·87·out[4][2]·=·sign_[4]·*·(in[2]·-·1.0);
 81 ·88·out[5][0]·=·0;
 82 ·89·out[5][1]·=·0;
 83 ·90·out[5][2]·=·sign_[5]·*·in[2];
 84 ·91·out[6][0]·=·6.0·*·in[0]·*·in[1]·-·3·*·in[0]-6·*·in[1]·+·3.0;
 85 ·92·out[6][1]·=·-3.0·*·in[1]·*·in[1]·+·3·*·in[1];
 86 ·93·out[6][2]·=·0;
 87 ·94·out[7][0]·=·-6.0·*·in[0]·*·in[1]·+·3·*·in[0];
 88 ·95·out[7][1]·=·3.0·*·in[1]·*·in[1]·-·3·*·in[1];
 89 ·96·out[7][2]·=·0;
 90 ·97·out[8][0]·=·3.0·*·in[0]·*·in[0]·-·3·*·in[0];
 91 ·98·out[8][1]·=·-6.0·*·in[0]·*·in[1]·+·3·*·in[1]+6·*·in[0]-3.0;
 92 ·99·out[8][2]·=·0;
 93 ·100·out[9][0]·=·-3.0·*·in[0]·*·in[0]·+·3·*·in[0];
 94 ·101·out[9][1]·=·6.0·*·in[0]·*·in[1]·-·3·*·in[1];
 95 ·102·out[9][2]·=·0;
 96 ·103·out[10][0]·=·-3.0·*·in[0]·*·in[0]·+·3·*·in[0];
 97 ·104·out[10][1]·=·0;
 98 ·105·out[10][2]·=·6.0·*·in[0]·*·in[2]-6·*·in[0]-3·*·in[2]·+·3.0;
 99 ·106·out[11][0]·=·3.0·*·in[0]·*·in[0]-3·*·in[0];
 100 ·107·out[11][1]·=·0;
 101 ·108·out[11][2]·=·-6.0·*·in[0]·*·in[2]·+·3·*·in[2];
 102 ·109·out[12][0]·=·-6.0·*·in[0]·*·in[2]+6·*·in[2]·+·3·*·in[0]-3.0;
 103 ·110·out[12][1]·=·0;
 104 ·111·out[12][2]·=·3.0·*·in[2]·*·in[2]-3·*·in[2];
 105 ·112·out[13][0]·=·-3·*·in[0]+6·*·in[0]·*·in[2];
 106 ·113·out[13][1]·=·0;
 107 ·114·out[13][2]·=·-3.0·*·in[2]·*·in[2]·+·3·*·in[2];
 108 ·115·out[14][0]·=·0;
 109 ·116·out[14][1]·=·6.0·*·in[1]·*·in[2]-3·*·in[1]-6·*·in[2]·+·3.0;
 110 ·117·out[14][2]·=·-3·*·in[2]·*·in[2]·+·3·*·in[2];
 111 ·118·out[15][0]·=·0;
 112 ·119·out[15][1]·=·-6.0·*·in[1]·*·in[2]·+·3·*·in[1];
 113 ·120·out[15][2]·=·3.0·*·in[2]·*·in[2]-3·*·in[2];
 114 ·121·out[16][0]·=·0;
 115 ·122·out[16][1]·=·3.0·*·in[1]·*·in[1]-3·*·in[1];
 116 ·123·out[16][2]·=·-6.0·*·in[1]·*·in[2]·+·3·*·in[2]+6·*·in[1]-3.0;
 117 ·124·out[17][0]·=·0;
 118 ·125·out[17][1]·=·-3.0·*·in[1]·*·in[1]·+·3·*·in[1];
 119 ·126·out[17][2]·=·6.0·*·in[1]·*·in[2]·-·3.0·*·in[2];
 120 ·127·}
 121 ·128
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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13 ····*·dualp112 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini1cube3d
14 Classes·|·Namespaces14 Classes·|·Namespaces
 15 brezzidouglasmarini1cube3dlocalinterpolation.hh·File·Reference
15 dualp1localcoefficients.hh·File·Reference 
16 #include·<cstddef> 
17 #include·<vector>16 #include·<vector>
18 #include·<dune/localfunctions/common/localkey.hh>17 #include·<dune/geometry/quadraturerules.hh>
19 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
20 ·Classes19 ·Classes
21 class· Dune::DualP1LocalCoefficients<_dim_> 
22  ······Local·coefficients·for·dual·simplex·P1·elements.·More...20 class· Dune::BDM1Cube3DLocalInterpolation<_LB_>
 21  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference
 22 ········hexahedron.·More...
23  23  
24 ·Namespaces24 ·Namespaces
25 namespace· Dune25 namespace· Dune
26  26  
  
27 ===============================================================================27 ===============================================================================
28 ·····Generated·by [doxygen]·1.9.828 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·dualp1localcoefficients.hh·Source·File</title>8 <title>dune-localfunctions:·brezzidouglasmarini1cube3dlocalinterpolation.hh·Source·File</title>
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14 dualp1localcoefficients.hh12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini1cube3d
 14 brezzidouglasmarini1cube3dlocalinterpolation.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_DUAL_P1_LOCALCOEFFICIENTS_HH 
22 ·6#define·DUNE_DUAL_P1_LOCALCOEFFICIENTS_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALINTERPOLATION_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALINTERPOLATION_HH
23 ·723 ·7
24 ·8#include·<cstddef> 
25 ·9#include·<vector>24 ·8#include·<vector>
26 ·10 
27 ·11#include·<dune/localfunctions/common/localkey.hh> 
28 ·1225 ·9
 26 ·10#include·<dune/geometry/quadraturerules.hh>
 27 ·11
29 ·13namespace·Dune28 ·12namespace·Dune
 29 ·13{
30 ·14{30 ·14
 31 ·24·template<class·LB>
 32 25·class·BDM1Cube3DLocalInterpolation
31 ·15 
32 ·21·template·<int·dim> 
33 22·class·DualP1LocalCoefficients 
34 ·23·{33 ·26·{
 34 ·27
35 ·24·public:35 ·28·public:
 36 30·BDM1Cube3DLocalInterpolation()
36 26·DualP1LocalCoefficients·()·:·li(size()) 
37 ·27·{ 
38 ·28·for·(std::size_t·i=0;·i<size();·i++) 
39 ·29·li[i]·=·LocalKey(i,dim,0); 
40 ·30·} 
41 ·31 
42 33·std::size_t·size·()·const 
43 ·34·{37 ·31·{
44 ·35·return·dim+1;38 ·32·sign0·=·sign1·=·sign2·=·sign3·=·sign4·=·sign5·=·1.0;
45 ·36·}39 ·33·}
46 ·37 
47 39·const·LocalKey&·localKey·(std::size_t·i)·const40 ·34
 41 40·BDM1Cube3DLocalInterpolation(unsigned·int·s)
48 ·40·{42 ·41·{
 43 ·42·sign0·=·sign1·=·sign2·=·sign3·=·sign4·=·sign5·=·1.0;
 44 ·43·if·(s·&·1)
 45 ·44·{
 46 ·45·sign0·=·-1.0;
49 ·41·return·li[i]; 
50 ·42·} 
51 ·43 
52 ·44·private: 
53 ·45·std::vector<LocalKey>·li; 
54 ·46·};47 ·46·}
55 ·47 
56 ·48} 
57 ·49 
58 ·50#endif 
59 localkey.hh48 ·47·if·(s·&·2)
 49 ·48·{
 50 ·49·sign1·=·-1.0;
 51 ·50·}
 52 ·51·if·(s·&·4)
 53 ·52·{
 54 ·53·sign2·=·-1.0;
 55 ·54·}
 56 ·55·if·(s·&·8)
 57 ·56·{
 58 ·57·sign3·=·-1.0;
 59 ·58·}
 60 ·59·if·(s·&·16)
 61 ·60·{
 62 ·61·sign4·=·-1.0;
 63 ·62·}
 64 ·63·if·(s·&·32)
 65 ·64·{
 66 ·65·sign5·=·-1.0;
 67 ·66·}
 68 ·67
 69 ·68·n0[0]·=·-1.0;
 70 ·69·n0[1]·=·0.0;
 71 ·70·n0[2]·=·0.0;
 72 ·71·n1[0]·=·1.0;
 73 ·72·n1[1]·=·0.0;
 74 ·73·n1[2]·=·0.0;
 75 ·74·n2[0]·=·0.0;
 76 ·75·n2[1]·=·-1.0;
 77 ·76·n2[2]·=·0.0;
 78 ·77·n3[0]·=·0.0;
 79 ·78·n3[1]·=·1.0;
 80 ·79·n3[2]·=·0.0;
 81 ·80·n4[0]·=·0.0;
 82 ·81·n4[1]·=·0.0;
 83 ·82·n4[2]·=·-1.0;
 84 ·83·n5[0]·=·0.0;
 85 ·84·n5[1]·=·0.0;
 86 ·85·n5[2]·=·1.0;
 87 ·86·}
 88 ·87
 89 ·96·template<typename·F,·typename·C>
 90 97·void·interpolate(const·F&·f,·std::vector<C>&·out)·const
 91 ·98·{
 92 ·99·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 93 ·100·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 94 ·101·//typedef·typename·LB::Traits::DomainFieldType·Vector;
 95 ·102
 96 ·103·DUNE_THROW(·NotImplemented,·"Interpolation·for·BDM1Cube3D·finite·elements
 97 is·not·implemented."·);
 98 ·104
 99 ·105·out.resize(18);
 100 ·106·fill(out.begin(),·out.end(),·0.0);
 101 ·107
 102 ·108·const·int·qOrder·=·4;
 103 ·109·const·QuadratureRule<Scalar,1>&·rule·=·QuadratureRules<Scalar,1>::rule
 104 (GeometryTypes::cube(1),·qOrder);
 105 ·110
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12 ····*·dualmortarbasis 
13 ····*·dualp112 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini1cube3d
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 dualp1localinterpolation.hh·File·Reference15 brezzidouglasmarini1cube3dlocalcoefficients.hh·File·Reference
 16 #include·<cstddef>
16 #include·<vector>17 #include·<vector>
17 #include·<dune/localfunctions/common/localinterpolation.hh>18 #include·"../../common/localkey.hh"
18 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
19 ·Classes20 ·Classes
20 class· Dune::DualP1LocalInterpolation<_dim,_LB_>21 class· Dune::BDM1Cube3DLocalCoefficients
 22  ······Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·hexahedra.·More...
21  23  
22 ·Namespaces24 ·Namespaces
23 namespace· Dune25 namespace· Dune
24  26  
  
25 ===============================================================================27 ===============================================================================
26 ·····Generated·by [doxygen]·1.9.828 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·dualp1localinterpolation.hh·Source·File</title>8 <title>dune-localfunctions:·brezzidouglasmarini1cube3dlocalcoefficients.hh·Source·File</title>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·dualmortarbasis 
13 ····*·dualp1 
14 dualp1localinterpolation.hh12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini1cube3d
 14 brezzidouglasmarini1cube3dlocalcoefficients.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_DUAL_P1_LOCALINTERPOLATION_HH 
22 ·6#define·DUNE_DUAL_P1_LOCALINTERPOLATION_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALCOEFFICIENTS_HH
 22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALCOEFFICIENTS_HH
23 ·723 ·7
 24 ·8#include·<cstddef>
24 ·8#include·<vector>25 ·9#include·<vector>
25 ·9#include·<dune/localfunctions/common/localinterpolation.hh> 
26 ·1026 ·10
 27 ·11#include·"../../common/localkey.hh"
 28 ·12
27 ·11namespace·Dune29 ·13namespace·Dune
28 ·12{30 ·14{
29 ·13·template<int·dim,·class·LB> 
30 14·class·DualP1LocalInterpolation 
31 ·15·{31 ·15
 32 23·class·BDM1Cube3DLocalCoefficients
32 ·16·public: 
33 ·18·template<typename·F,·typename·C> 
34 19·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
35 ·20·{33 ·24·{
36 ·21·typename·LB::Traits::DomainType·x; 
37 ·22·//·If·the·dual·functions·are·dual·on·the·faces, 
38 ·23·//·then·adjust·the·interpolation·weights 
39 ·24·const·int·faceDual(LB::faceDual); 
40 ·2534 ·25
 35 ·26·public:
 36 28·BDM1Cube3DLocalCoefficients()·:·li(18)
 37 ·29·{
 38 ·30·for·(std::size_t·i·=·0;·i·<·6;·++i)
 39 ·31·{
 40 ·32·li[i]·=·LocalKey(i,1,0);
 41 ·33·li[i·+·6]·=·LocalKey(i,1,1);
 42 ·34·li[i·+·12]·=·LocalKey(i,1,2);
41 ·26·auto&&·f·=·Impl::makeFunctionWithCallOperator<decltype(x)>(ff); 
42 ·27 
43 ·28·//·compute·P1·interpolation·coefficients 
44 ·29·std::vector<C>·p1Interpolation(dim+1); 
45 ·30 
46 ·31·//·vertex·0 
47 ·32·for·(int·i=0;·i<dim;·i++) 
48 ·33·x[i]·=·0; 
49 ·34·p1Interpolation[0]·=·f(x); 
50 ·35 
51 ·36·//·remaining·vertices 
52 ·37·for·(int·i=0;·i<dim;·i++)·{ 
53 ·38·for·(int·j=0;·j<dim;·j++) 
54 ·39·x[j]·=·(i==j); 
55 ·40 
56 ·41·p1Interpolation[i+1]·=·f(x); 
57 ·42 
58 ·43·}43 ·35·}
59 ·44 
60 ·45·//·compute·dual·coefficients·from·the·Lagrange·ones 
61 ·46·out.resize(dim+1); 
62 ·47·for·(int·i=0;·i<dim+1;·i++)·{ 
63 ·48·out[i]·=·2*p1Interpolation[i]/(dim+2-faceDual);44 ·36·}
 45 ·37
 46 39·std::size_t·size()·const
 47 ·40·{
 48 ·41·return·18;
 49 ·42·}
 50 ·43
 51 45·const·LocalKey&·localKey(std::size_t·i)·const
 52 ·46·{
 53 ·47·return·li[i];
 54 ·48·}
64 ·4955 ·49
 56 ·50·private:
 57 ·51·std::vector<LocalKey>·li;
65 ·50·for·(int·j=0;·j<i;·j++) 
66 ·51·out[i]·+=·p1Interpolation[j]/(dim+2-faceDual); 
67 ·52 
68 ·53·for·(int·j=i+1;·j<=dim;·j++) 
69 ·54·out[i]·+=·p1Interpolation[j]/(dim+2-faceDual); 
70 ·55·} 
71 ·56·} 
72 ·57 
73 ·58·};58 ·52·};
74 ·59} 
75 ·60 
76 ·61#endif59 ·53}·//·end·namespace·Dune
 60 ·54#endif·/
 61 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE3D_LOCALCOEFFICIENTS_HH
77 Dune62 Dune
78 Definition·bdfmcube.hh:1863 Definition·bdfmcube.hh:18
79 Dune::DualP1LocalInterpolation 
80 Definition·dualp1localinterpolation.hh:15 
81 Dune::DualP1LocalInterpolation::interpolate 
82 void·interpolate(const·F·&ff,·std::vector<·C·>·&out)·const 
83 Local·interpolation·of·a·function. 
84 Definition·dualp1localinterpolation.hh:19 
85 localinterpolation.hh64 Dune::BDM1Cube3DLocalCoefficients
 65 Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·hexahedra.
 66 Definition·brezzidouglasmarini1cube3dlocalcoefficients.hh:24
 67 Dune::BDM1Cube3DLocalCoefficients::size
 68 std::size_t·size()·const
 69 number·of·coefficients
 70 Definition·brezzidouglasmarini1cube3dlocalcoefficients.hh:39
 71 Dune::BDM1Cube3DLocalCoefficients::BDM1Cube3DLocalCoefficients
 72 BDM1Cube3DLocalCoefficients()
 73 Standard·constructor.
 74 Definition·brezzidouglasmarini1cube3dlocalcoefficients.hh:28
 75 Dune::BDM1Cube3DLocalCoefficients::localKey
 76 const·LocalKey·&·localKey(std::size_t·i)·const
 77 get·i'th·index
 78 Definition·brezzidouglasmarini1cube3dlocalcoefficients.hh:45
 79 Dune::LocalKey
 80 Describe·position·of·one·degree·of·freedom.
 81 Definition·localkey.hh:23
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·brezzidouglasmarini
12 ····*·dualmortarbasis 
13 ····*·dualp1 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 dualp1localbasis.hh·File·Reference 
16 #include·<numeric> 
17 #include·<dune/common/fvector.hh> 
18 #include·<dune/common/fmatrix.hh> 
19 #include·<dune/localfunctions/common/localbasis.hh>14 brezzidouglasmarini1simplex2d.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
 16 #include·"../common/localfiniteelementtraits.hh"
 17 #include·"brezzidouglasmarini1simplex2d/
 18 brezzidouglasmarini1simplex2dlocalbasis.hh"
 19 #include·"brezzidouglasmarini1simplex2d/
 20 brezzidouglasmarini1simplex2dlocalcoefficients.hh"
 21 #include·"brezzidouglasmarini1simplex2d/
 22 brezzidouglasmarini1simplex2dlocalinterpolation.hh"
20 Go_to_the_source_code_of_this_file.23 Go_to_the_source_code_of_this_file.
21 ·Classes24 ·Classes
22 class· Dune::DualP1LocalBasis<_D,_R,_dim,_faceDualT_> 
23  ······Dual·Lagrange·shape·functions·on·the·simplex.·More...25 class· Dune::BDM1Simplex2DLocalFiniteElement<_D,_R_>
 26  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·triangles.·More...
24  27  
25 ·Namespaces28 ·Namespaces
26 namespace· Dune29 namespace· Dune
27  30  
  
28 ===============================================================================31 ===============================================================================
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8 <title>dune-localfunctions:·dualp1localbasis.hh·Source·File</title>8 <title>dune-localfunctions:·brezzidouglasmarini1simplex2d.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·brezzidouglasmarini
 13 brezzidouglasmarini1simplex2d.hh
12 ····*·dualmortarbasis 
13 ····*·dualp1 
14 dualp1localbasis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_DUAL_P1_LOCALBASIS_HH 
22 ·6#define·DUNE_DUAL_P1_LOCALBASIS_HH20 ·5#ifndef
 21 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALFINITEELEMENT_HH
 22 ·6#define
 23 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALFINITEELEMENT_HH
23 ·724 ·7
24 ·8#include·<numeric>25 ·8#include·<dune/geometry/type.hh>
25 ·926 ·9
26 ·10#include·<dune/common/fvector.hh> 
27 ·11#include·<dune/common/fmatrix.hh> 
28 ·12#include·<dune/localfunctions/common/localbasis.hh> 
29 ·1327 ·10#include·"../common/localfiniteelementtraits.hh"
 28 ·11#include·"brezzidouglasmarini1simplex2d/
 29 brezzidouglasmarini1simplex2dlocalbasis.hh"
 30 ·12#include·"brezzidouglasmarini1simplex2d/
 31 brezzidouglasmarini1simplex2dlocalcoefficients.hh"
 32 ·13#include·"brezzidouglasmarini1simplex2d/
 33 brezzidouglasmarini1simplex2dlocalinterpolation.hh"
 34 ·14
30 ·14namespace·Dune35 ·15namespace·Dune
31 ·15{36 ·16{
32 ·32·template<class·D,·class·R,·int·dim,·bool·faceDualT=false> 
33 33·class·DualP1LocalBasis 
34 ·34·{37 ·17
 38 ·26·template<class·D,·class·R>
 39 27·class·BDM1Simplex2DLocalFiniteElement
 40 ·28·{
 41 ·29
35 ·35·public:42 ·30·public:
36 37·static·const·bool·faceDual·=·faceDualT; 
37 ·39·typedef·LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune:: 
38 FieldVector<R,1>, 
39 40·Dune::FieldMatrix<R,1,dim>·>·Traits; 
40 ·41 
41 43·unsigned·int·size·()·const 
42 ·44·{ 
43 ·45·return·dim+1; 
44 ·46·} 
45 ·47 
46 49·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
47 ·50·std::vector<typename·Traits::RangeType>&·out)·const43 ·31·typedef·LocalFiniteElementTraits<
 44 ·32·BDM1Simplex2DLocalBasis<D,R>,
 45 ·33·BDM1Simplex2DLocalCoefficients,
 46 34·BDM1Simplex2DLocalInterpolation<BDM1Simplex2DLocalBasis<D,R>·>·>·Traits;
 47 ·35
 48 37·BDM1Simplex2DLocalFiniteElement·()
 49 ·38·{}
 50 ·39
 51 45·BDM1Simplex2DLocalFiniteElement·(int·s)·:
 52 ·46·basis(s),
 53 ·47·interpolation(s)
 54 ·48·{}
 55 ·49
 56 50·const·typename·Traits::LocalBasisType&·localBasis·()·const
48 ·51·{57 ·51·{
49 ·52·//·evaluate·P1·basis·functions 
50 ·53·std::vector<typename·Traits::RangeType>·p1Values(size());58 ·52·return·basis;
 59 ·53·}
51 ·5460 ·54
52 ·55·p1Values[0]·=·1.0;61 55·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
53 ·5662 ·56·{
54 ·57·for·(int·i=0;·i<dim;·i++)·{ 
55 ·58·p1Values[0]·-=·in[i]; 
56 ·59·p1Values[i+1]·=·in[i];63 ·57·return·coefficients;
 64 ·58·}
 65 ·59
 66 60·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 67 ·61·{
 68 ·62·return·interpolation;
57 ·60·}69 ·63·}
58 ·61 
59 ·62·//·compute·dual·basis·function·values·as·a·linear·combination·of·the 
60 Lagrange·values 
61 ·63·out.resize(size()); 
62 ·6470 ·64
63 ·65·for·(int·i=0;·i<=dim;·i++)·{ 
64 ·66·out[i]·=·(dim+!faceDual)*p1Values[i]; 
65 ·67·for·(int·j=0;·j<i;·j++) 
66 ·68·out[i]·-=·p1Values[j]; 
67 ·69 
68 ·70·for·(int·j=i+1;·j<=dim;·j++) 
69 ·71·out[i]·-=·p1Values[j]; 
70 ·72·} 
71 ·73·} 
72 ·74 
73 ·76·inline·void 
74 77·evaluateJacobian·(const·typename·Traits::DomainType&·in, 
75 ·78·std::vector<typename·Traits::JacobianType>&·out)·const 
76 ·79·{ 
77 ·80·//·evaluate·P1·jacobians 
78 ·81·std::vector<typename·Traits::JacobianType>·p1Jacs(size()); 
79 ·82 
80 ·83·for·(int·i=0;·i<dim;·i++) 
81 ·84·p1Jacs[0][0][i]·=·-1; 
82 ·85 
83 ·86·for·(int·i=0;·i<dim;·i++) 
84 ·87·for·(int·j=0;·j<dim;·j++) 
85 ·88·p1Jacs[i+1][0][j]·=·(i==j); 
86 ·89 
87 ·90·//·compute·dual·basis·jacobians·as·linear·combination·of·the·Lagrange 
88 jacobians 
89 ·91·out.resize(size()); 
90 ·92 
91 ·93·for·(size_t·i=0;·i<=dim;·i++)·{ 
92 ·94·out[i][0]·=·0; 
93 ·95·out[i][0].axpy(dim+!faceDual,p1Jacs[i][0]); 
94 ·96 
95 ·97·for·(size_t·j=0;·j<i;·j++) 
96 ·98·out[i][0]·-=·p1Jacs[j][0]; 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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12 ····*·dualmortarbasis12 ····*·brezzidouglasmarini
13 Classes·|·Namespaces13 Classes·|·Namespaces
 14 brezzidouglasmarinisimplex.hh·File·Reference
 15 #include·<dune/localfunctions/brezzidouglasmarini/
 16 brezzidouglasmarini1simplex2d.hh>
 17 #include·<dune/localfunctions/brezzidouglasmarini/
 18 brezzidouglasmarini2simplex2d.hh>
14 dualq1.hh·File·Reference 
15 #include·<array> 
16 #include·<dune/common/fvector.hh> 
17 #include·<dune/common/fmatrix.hh> 
18 #include·<dune/geometry/type.hh> 
19 #include·<dune/geometry/referenceelements.hh> 
20 #include·<dune/geometry/quadraturerules.hh> 
21 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
22 #include·<dune/localfunctions/lagrange/lagrangecube.hh> 
23 #include·"dualq1/dualq1localbasis.hh" 
24 #include·"dualq1/dualq1localcoefficients.hh" 
25 #include·"dualq1/dualq1localinterpolation.hh" 
26 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
27 ·Classes20 ·Classes
28 class· Dune::DualQ1LocalFiniteElement<_D,_R,_dim,_faceDual_> 
29  ······The·local·dual·Q1·finite·element·on·cubes.·More...21 class· Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_1_>
 22  ······Brezzi-Douglas-Marini·local·finite·elements·for·simplices·with
 23 ········dimension·2·and·order·1.·More...
 24  
 25 class· Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_2_>
 26  ······Brezzi-Douglas-Marini·local·finite·elements·for·simplices·with
 27 ········dimension·2·and·order·2.·More...
30  28  
31 ·Namespaces29 ·Namespaces
32 namespace· Dune30 namespace· Dune
33  31  
  
34 ===============================================================================32 ===============================================================================
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7 Loading...7 Loading...
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
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13 dualq1.hh12 ····*·brezzidouglasmarini
 13 brezzidouglasmarinisimplex.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_DUAL_Q1_LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_DUAL_Q1_LOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINISIMPLEX_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINISIMPLEX_HH
22 ·722 ·7
 23 ·8#include·<dune/localfunctions/brezzidouglasmarini/
 24 brezzidouglasmarini1simplex2d.hh>
 25 ·9#include·<dune/localfunctions/brezzidouglasmarini/
 26 brezzidouglasmarini2simplex2d.hh>
 27 ·10
 28 ·11
23 ·8#include·<array> 
24 ·9 
25 ·10#include·<dune/common/fvector.hh> 
26 ·11#include·<dune/common/fmatrix.hh> 
27 ·12 
28 ·13#include·<dune/geometry/type.hh> 
29 ·14#include·<dune/geometry/referenceelements.hh> 
30 ·15#include·<dune/geometry/quadraturerules.hh> 
31 ·16 
32 ·17#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
33 ·18#include·<dune/localfunctions/lagrange/lagrangecube.hh> 
34 ·19#include·"dualq1/dualq1localbasis.hh" 
35 ·20#include·"dualq1/dualq1localcoefficients.hh" 
36 ·21#include·"dualq1/dualq1localinterpolation.hh" 
37 ·22 
38 ·23namespace·Dune29 ·12namespace·Dune
 30 ·13{
 31 ·22·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
 32 23·class·BrezziDouglasMariniSimplexLocalFiniteElement;
39 ·24{33 ·24
40 ·40·template<class·D,·class·R,·int·dim,·bool·faceDual=false> 
41 41·class·DualQ1LocalFiniteElement 
42 ·42·{34 ·28·template<class·D,·class·R>
 35 29·class·BrezziDouglasMariniSimplexLocalFiniteElement<D,·R,·2,·1>
 36 ·30·:·public·BDM1Simplex2DLocalFiniteElement<D,·R>
 37 ·31·{
43 ·43·public:38 ·32·public:
44 ·46·typedef 
45 LocalFiniteElementTraits<DualQ1LocalBasis<D,R,dim>,DualQ1LocalCoefficients<dim>, 
46 47·DualQ1LocalInterpolation<dim,DualQ1LocalBasis<D,R,dim>·>·>·Traits; 
47 ·48 
48 51·DualQ1LocalFiniteElement·()39 34·BrezziDouglasMariniSimplexLocalFiniteElement()
 40 ·35·{}
 41 ·36
 42 42·BrezziDouglasMariniSimplexLocalFiniteElement(int·s)
 43 ·43·:·BDM1Simplex2DLocalFiniteElement<D,·R>::BDM1Simplex2DLocalFiniteElement(s)
 44 ·44·{}
 45 ·45·};
 46 ·46
 47 ·50·template<class·D,·class·R>
 48 51·class·BrezziDouglasMariniSimplexLocalFiniteElement<D,·R,·2,·2>
 49 ·52·:·public·BDM2Simplex2DLocalFiniteElement<D,·R>
49 ·52·{50 ·53·{
 51 ·54·public:
 52 56·BrezziDouglasMariniSimplexLocalFiniteElement()
50 ·53·if·(faceDual) 
51 ·54·setupFaceDualCoefficients(); 
52 ·55·else 
53 ·56·setupDualCoefficients(); 
54 ·57·}53 ·57·{}
55 ·5854 ·58
 55 64·BrezziDouglasMariniSimplexLocalFiniteElement(int·s)
 56 ·65·:·BDM2Simplex2DLocalFiniteElement<D,·R>::BDM2Simplex2DLocalFiniteElement(s)
 57 ·66·{}
 58 ·67·};
 59 ·68
 60 ·69}·//·namespace·Dune
 61 ·70
 62 ·71#endif·//·#ifndef
 63 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINISIMPLEX_HH
 64 brezzidouglasmarini1simplex2d.hh
 65 brezzidouglasmarini2simplex2d.hh
56 61·const·typename·Traits::LocalBasisType&·localBasis·()·const 
57 ·62·{ 
58 ·63·return·basis; 
59 ·64·} 
60 ·65 
61 68·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
62 ·69·{ 
63 ·70·return·coefficients; 
64 ·71·} 
65 ·72 
66 75·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
67 ·76·{ 
68 ·77·return·interpolation; 
69 ·78·} 
70 ·79 
71 81·unsigned·int·size·()·const 
72 ·82·{ 
73 ·83·return·basis.size(); 
74 ·84·} 
75 ·85 
76 88·static·constexpr·GeometryType·type·() 
77 ·89·{ 
78 ·90·return·GeometryTypes::cube(dim); 
79 ·91·} 
80 ·92 
81 ·93·private: 
82 ·95·void·setupFaceDualCoefficients(); 
83 ·96 
84 ·98·void·setupDualCoefficients(); 
85 ·99 
86 ·100·DualQ1LocalBasis<D,R,dim>·basis; 
87 ·101·DualQ1LocalCoefficients<dim>·coefficients; 
88 ·102·DualQ1LocalInterpolation<dim,DualQ1LocalBasis<D,R,dim>·>·interpolation; 
89 ·103·}; 
90 ·104 
91 ·105·template<class·D,·class·R,·int·dim,·bool·faceDual> 
92 ·106·void·DualQ1LocalFiniteElement<D,R,dim,faceDual>::setupDualCoefficients() 
93 ·107·{ 
94 ·108 
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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 13 ····*·brezzidouglasmarini1simplex2d
13 Classes·|·Namespaces14 Classes·|·Namespaces
14 edges0.5.hh·File·Reference15 brezzidouglasmarini1simplex2dlocalinterpolation.hh·File·Reference
 16 #include·<vector>
15 #include·<dune/geometry/type.hh>17 #include·<dune/geometry/quadraturerules.hh>
16 #include·<dune/localfunctions/whitney/edges0.5/basis.hh> 
17 #include·<dune/localfunctions/whitney/edges0.5/coefficients.hh> 
18 #include·<dune/localfunctions/whitney/edges0.5/interpolation.hh>18 #include·<dune/localfunctions/common/localinterpolation.hh>
19 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
20 ·Classes20 ·Classes
 21 class· Dune::BDM1Simplex2DLocalInterpolation<_LB_>
 22  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference
 23 ········triangle.·More...
21 ·class· Dune::EdgeS0_5FiniteElement<_Geometry,_RF_> 
22  ·······FiniteElement·for·lowest·order·edge·elements·on·simplices.·More... 
23   
24 struct· Dune::EdgeS0_5FiniteElement<_Geometry,_RF_>::Traits 
25   
26 struct· Dune::EdgeS0_5FiniteElementFactory<_Geometry,_RF_> 
27  ·······Factory·for·EdgeS0_5FiniteElement·objects.·More... 
28  24  
29 ·Namespaces25 ·Namespaces
30 namespace· Dune26 namespace· Dune
31  27  
  
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10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·whitney 
13 edges0.5.hh12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini1simplex2d
 14 brezzidouglasmarini1simplex2dlocalinterpolation.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5 
21 ·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_HH 
22 ·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_HH 
23 ·821 ·5#ifndef
 22 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALINTERPOLATION_HH
 23 ·6#define
 24 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALINTERPOLATION_HH
 25 ·7
 26 ·8#include·<vector>
 27 ·9
24 ·9#include·<dune/geometry/type.hh>28 ·10#include·<dune/geometry/quadraturerules.hh>
25 ·10 
26 ·11#include·<dune/localfunctions/whitney/edges0.5/basis.hh> 
27 ·12#include·<dune/localfunctions/whitney/edges0.5/coefficients.hh> 
28 ·13#include·<dune/localfunctions/whitney/edges0.5/interpolation.hh>29 ·11#include·<dune/localfunctions/common/localinterpolation.hh>
29 ·1430 ·12
30 ·15namespace·Dune·{31 ·13namespace·Dune
 32 ·14{
 33 ·23·template<class·LB>
 34 24·class·BDM1Simplex2DLocalInterpolation
 35 ·25·{
 36 ·26
31 ·16 
32 ·18·// 
33 ·19·//·FiniteElement 
34 ·20·// 
35 ·21 
36 ·23 
37 ·41·template<class·Geometry,·class·RF> 
38 42·class·EdgeS0_5FiniteElement·{ 
39 ·43·public:37 ·27·public:
40 47·struct·Traits·{ 
41 48·typedef·EdgeS0_5Basis<Geometry,_RF>·Basis; 
42 ·49·typedef·EdgeS0_5Interpolation<Geometry, 
43 50·typename·Basis::Traits>·Interpolation; 
44 51·typedef·EdgeS0_5Coefficients<Geometry::mydimension>·Coefficients; 
45 ·52·}; 
46 ·53 
47 ·54·private: 
48 ·55·typename·Traits::Basis·basis_; 
49 ·56·typename·Traits::Interpolation·interpolation_; 
50 ·57·static·const·typename·Traits::Coefficients&·coefficients_; 
51 ·58 
52 ·59·public: 
53 ·61 
54 ·64·template<class·VertexOrder> 
55 65·EdgeS0_5FiniteElement(const·Geometry&·geo, 
56 ·66·const·VertexOrder&·vertexOrder)·: 
57 ·67·basis_(geo,·vertexOrder),·interpolation_(geo,·vertexOrder) 
58 ·68·{·} 
59 ·69 
60 71·const·typename·Traits::Basis&·basis()·const·{·return·basis_;·} 
61 73·const·typename·Traits::Interpolation&·interpolation()·const 
62 ·74·{·return·interpolation_;·} 
63 76·const·typename·Traits::Coefficients&·coefficients()·const 
64 ·77·{·return·coefficients_;·} 
65 79·static·constexpr·GeometryType·type()·{·return·GeometryTypes::simplex 
66 (Geometry::mydimension);·} 
67 ·80·}; 
68 ·81 
69 ·82·template<class·Geometry,·class·RF> 
70 ·83·const·typename·EdgeS0_5FiniteElement<Geometry,_RF>::Traits::Coefficients& 
71 ·84·EdgeS0_5FiniteElement<Geometry,·RF>::coefficients_·= 
72 ·85·typename·Traits::Coefficients(); 
73 ·86 
74 ·88·// 
75 ·89·//·Factory 
76 ·90·// 
77 ·9138 29·BDM1Simplex2DLocalInterpolation·()
 39 ·30·{
 40 ·31·sign0·=·sign1·=·sign2·=·1.0;
 41 ·32·}
 42 ·33
 43 39·BDM1Simplex2DLocalInterpolation·(unsigned·int·s)
 44 ·40·{
 45 ·41·using·std::sqrt;
 46 ·42·sign0·=·sign1·=·sign2·=·1.0;
 47 ·43·if·(s·&·1)
 48 ·44·{
 49 ·45·sign0·=·-1.0;
 50 ·46·}
 51 ·47·if·(s·&·2)
 52 ·48·{
 53 ·49·sign1·=·-1.0;
 54 ·50·}
 55 ·51·if·(s·&·4)
 56 ·52·{
 57 ·53·sign2·=·-1.0;
 58 ·54·}
 59 ·55
 60 ·56·n0[0]·=·0.0;
 61 ·57·n0[1]·=·-1.0;
 62 ·58·n1[0]·=·-1.0;
 63 ·59·n1[1]·=·0.0;
 64 ·60·n2[0]·=·1.0/sqrt(2.0);
 65 ·61·n2[1]·=·1.0/sqrt(2.0);
 66 ·62·c0·=·0.5*n0[0]·-·1.0*n0[1];
 67 ·63·c1·=·-1.0*n1[0]·+·0.5*n1[1];
 68 ·64·c2·=·0.5*n2[0]·+·0.5*n2[1];
 69 ·65·}
 70 ·66
 71 ·75·template<typename·F,·typename·C>
 72 76·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
 73 ·77·{
 74 ·78·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
 75 ·79·typedef·typename·LB::Traits::RangeFieldType·Scalar;
 76 ·80
 77 ·81·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
 78 DomainType>(ff);
 79 ·82
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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13 ····*·edges0.512 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini1simplex2d
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 common.hh·File·Reference15 brezzidouglasmarini1simplex2dlocalcoefficients.hh·File·Reference
16 #include·<cstddef>16 #include·<cstddef>
 17 #include·<vector>
 18 #include·"../../common/localkey.hh"
17 #include·<dune/geometry/dimension.hh> 
18 #include·<dune/geometry/referenceelements.hh> 
19 #include·<dune/geometry/type.hh> 
20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
21 ·Classes20 ·Classes
22 struct· Dune::EdgeS0_5Common<_dim,_DF_> 
23  ·······Common·base·class·for·edge·elements.·More...21 class· Dune::BDM1Simplex2DLocalCoefficients
 22  ······Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·triangles.·More...
24  23  
25 ·Namespaces24 ·Namespaces
26 namespace· Dune25 namespace· Dune
27  26  
  
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 13 ····*·brezzidouglasmarini1simplex2d
 14 brezzidouglasmarini1simplex2dlocalcoefficients.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5 
22 ·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COMMON_HH 
23 ·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COMMON_HH 
24 ·821 ·5#ifndef
 22 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALCOEFFICIENTS_HH
 23 ·6#define
 24 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALCOEFFICIENTS_HH
 25 ·7
25 ·9#include·<cstddef>26 ·8#include·<cstddef>
 27 ·9#include·<vector>
26 ·1028 ·10
 29 ·11#include·"../../common/localkey.hh"
 30 ·12
27 ·11#include·<dune/geometry/dimension.hh> 
28 ·12#include·<dune/geometry/referenceelements.hh> 
29 ·13#include·<dune/geometry/type.hh> 
30 ·14 
31 ·15namespace·Dune·{31 ·13namespace·Dune
 32 ·14{
 33 ·15
 34 23·class·BDM1Simplex2DLocalCoefficients
32 ·16 
33 ·18·template<std::size_t·dim,·class·DF·=·double> 
34 19·struct·EdgeS0_5Common·{ 
35 21·using·RefElem·= 
36 ·22·decltype(referenceElement(DF{},·GeometryTypes::simplex(dim), 
37 ·23·Dim<dim>{})); 
38 ·2435 ·24·{
39 26·RefElem·refelem·=·referenceElement(DF{},·GeometryTypes::simplex(dim), 
40 ·27·Dim<dim>{}); 
41 ·28 
42 ·30 
43 34·std::size_t·s·=·refelem.size(dim-1);36 ·25
 37 ·26·public:
 38 28·BDM1Simplex2DLocalCoefficients·()·:·li(6)
 39 ·29·{
 40 ·30·for·(std::size_t·i=0;·i<3;·i++)
 41 ·31·{
 42 ·32·li[i]·=·LocalKey(i,1,0);
 43 ·33·li[3·+·i]·=·LocalKey(i,1,1);
 44 ·34·}
44 ·35·};45 ·35·}
45 ·3646 ·36
46 ·37}·//·namespace·Dune 
47 ·38 
48 ·39#endif·//·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COMMON_HH47 38·std::size_t·size·()·const
 48 ·39·{
 49 ·40·return·6;
 50 ·41·}
 51 ·42
 52 44·const·LocalKey&·localKey·(std::size_t·i)·const
 53 ·45·{
 54 ·46·return·li[i];
 55 ·47·}
 56 ·48
 57 ·49·private:
 58 ·50·std::vector<LocalKey>·li;
 59 ·51·};
 60 ·52}
 61 ·53#endif·/
 62 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALCOEFFICIENTS_HH
49 Dune63 Dune
50 Definition·bdfmcube.hh:1864 Definition·bdfmcube.hh:18
51 Dune::EdgeS0_5Common 
52 Common·base·class·for·edge·elements. 
53 Definition·common.hh:19 
54 Dune::EdgeS0_5Common::refelem 
55 RefElem·refelem 
56 The·reference·element·for·this·edge·element. 
57 Definition·common.hh:26 
58 Dune::EdgeS0_5Common::RefElem 
59 decltype(referenceElement(DF{},·GeometryTypes::simplex(dim),·Dim<·dim·>{})) 
60 RefElem 
61 The·type·of·the·referenceElement.65 Dune::BDM1Simplex2DLocalCoefficients
 66 Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·triangles.
 67 Definition·brezzidouglasmarini1simplex2dlocalcoefficients.hh:24
 68 Dune::BDM1Simplex2DLocalCoefficients::BDM1Simplex2DLocalCoefficients
 69 BDM1Simplex2DLocalCoefficients()
 70 Standard·constructor.
 71 Definition·brezzidouglasmarini1simplex2dlocalcoefficients.hh:28
 72 Dune::BDM1Simplex2DLocalCoefficients::localKey
 73 const·LocalKey·&·localKey(std::size_t·i)·const
 74 get·i'th·index
 75 Definition·brezzidouglasmarini1simplex2dlocalcoefficients.hh:44
 76 Dune::BDM1Simplex2DLocalCoefficients::size
 77 std::size_t·size()·const
 78 number·of·coefficients
 79 Definition·brezzidouglasmarini1simplex2dlocalcoefficients.hh:38
 80 Dune::LocalKey
 81 Describe·position·of·one·degree·of·freedom.
62 Definition·common.hh:2382 Definition·localkey.hh:23
63 Dune::EdgeS0_5Common::s 
64 std::size_t·s 
65 The·number·of·base·functions. 
66 Definition·common.hh:34 
  
67 ===============================================================================83 ===============================================================================
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15 brezzidouglasmarinisimplex.hh>13 ····*·brezzidouglasmarini1simplex2d
 14 Classes·|·Namespaces
 15 brezzidouglasmarini1simplex2dlocalbasis.hh·File·Reference
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 20 #include·<dune/common/fmatrix.hh>
 21 #include·"../../common/localbasis.hh"
16 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
 23 ·Classes
 24 class· Dune::BDM1Simplex2DLocalBasis<_D,_R_>
 25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference
 26 ········triangle.·More...
 27  
 28 ·Namespaces
 29 namespace· Dune
 30  
  
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16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_HH21 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALBASIS_HH
20 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_HH22 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALBASIS_HH
21 ·723 ·7
22 ·8//·BDM·implementations·with·compile-time·order 
23 ·9#include·<dune/localfunctions/brezzidouglasmarini/brezzidouglasmarinicube.hh> 
24 ·10#include·<dune/localfunctions/brezzidouglasmarini/ 
25 brezzidouglasmarinisimplex.hh>24 ·8#include·<array>
 25 ·9#include·<bitset>
 26 ·10#include·<numeric>
 27 ·11#include·<vector>
 28 ·12
 29 ·13#include·<dune/common/fmatrix.hh>
 30 ·14
 31 ·15#include·"../../common/localbasis.hh"
 32 ·16
 33 ·17namespace·Dune
 34 ·18{
 35 ·28·template<class·D,·class·R>
 36 29·class·BDM1Simplex2DLocalBasis
 37 ·30·{
 38 ·31
 39 ·32·public:
 40 ·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
 41 FieldVector<R,2>,
 42 34·Dune::FieldMatrix<R,2,2>·>·Traits;
 43 ·35
 44 37·BDM1Simplex2DLocalBasis·()
 45 ·38·{
 46 ·39·for·(size_t·i=0;·i<3;·i++)
 47 ·40·sign_[i]·=·1.0;
 48 ·41·}
 49 ·42
 50 48·BDM1Simplex2DLocalBasis·(std::bitset<3>·s)
 51 ·49·{
 52 ·50·for·(size_t·i=0;·i<3;·i++)
 53 ·51·sign_[i]·=·s[i]·?·-1.0·:·1.0;
 54 ·52·}
 55 ·53
 56 55·unsigned·int·size·()·const
 57 ·56·{
 58 ·57·return·6;
 59 ·58·}
 60 ·59
 61 66·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
 62 ·67·std::vector<typename·Traits::RangeType>&·out)·const
 63 ·68·{
 64 ·69·out.resize(6);
 65 ·70
 66 ·71·out[0][0]·=·sign_[0]*in[0];
 67 ·72·out[0][1]·=·sign_[0]*(in[1]·-·1.0);
 68 ·73·out[1][0]·=·sign_[1]*(in[0]·-·1.0);
 69 ·74·out[1][1]·=·sign_[1]*in[1];
 70 ·75·out[2][0]·=·sign_[2]*in[0];
 71 ·76·out[2][1]·=·sign_[2]*in[1];
 72 ·77·out[3][0]·=·3.0*in[0];
 73 ·78·out[3][1]·=·3.0·-·6.0*in[0]·-·3.0*in[1];
 74 ·79·out[4][0]·=·-3.0·+·3.0*in[0]·+·6.0*in[1];
 75 ·80·out[4][1]·=·-3.0*in[1];
 76 ·81·out[5][0]·=·-3.0*in[0];
 77 ·82·out[5][1]·=·3.0*in[1];
 78 ·83·}
 79 ·84
 80 91·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,
 81 ·92·std::vector<typename·Traits::JacobianType>&·out)·const
 82 ·93·{
 83 ·94·out.resize(6);
 84 ·95
 85 ·96·out[0][0][0]·=·sign_[0];
 86 ·97·out[0][0][1]·=·0.0;
 87 ·98·out[0][1][0]·=·0.0;
 88 ·99·out[0][1][1]·=·sign_[0];
 89 ·100
 90 ·101·out[1][0][0]·=·sign_[1];
 91 ·102·out[1][0][1]·=·0.0;
 92 ·103·out[1][1][0]·=·0.0;
 93 ·104·out[1][1][1]·=·sign_[1];
 94 ·105
 95 ·106·out[2][0][0]·=·sign_[2];
 96 ·107·out[2][0][1]·=·0.0;
 97 ·108·out[2][1][0]·=·0.0;
 98 ·109·out[2][1][1]·=·sign_[2];
26 ·1199 ·110
 100 ·111·out[3][0][0]·=·3.0;
 101 ·112·out[3][0][1]·=·0.0;
 102 ·113·out[3][1][0]·=·-6.0;
 103 ·114·out[3][1][1]·=·-3.0;
 104 ·115
 105 ·116·out[4][0][0]·=·3.0;
 106 ·117·out[4][0][1]·=·6.0;
 107 ·118·out[4][1][0]·=·0.0;
 108 ·119·out[4][1][1]·=·-3.0;
 109 ·120
 110 ·121·out[5][0][0]·=·-3.0;
 111 ·122·out[5][0][1]·=·0.0;
 112 ·123·out[5][1][0]·=·0.0;
 113 ·124·out[5][1][1]·=·3.0;
 114 ·125·}
 115 ·126
 116 128·void·partial·(const·std::array<unsigned·int,·2>&·order,
 117 ·129·const·typename·Traits::DomainType&·in,·//·position
 118 ·130·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value
 119 ·131·{
 120 ·132·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0);
 121 ·133·if·(totalOrder·==·0)·{
 122 ·134·evaluateFunction(in,·out);
 123 ·135·}·else·if·(totalOrder·==·1)·{
 124 ·136·out.resize(size());
 125 ·137·auto·const·direction·=·std::distance(order.begin(),·std::find(order.begin
 126 (),·order.end(),·1));
 127 ·138
 128 ·139·switch·(direction)·{
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·brezzidouglasmarini
12 Classes·|·Namespaces13 Classes·|·Namespaces
13 orthonormal.hh·File·Reference 
14 #include·<dune/localfunctions/utility/localfiniteelement.hh> 
15 #include·<dune/localfunctions/utility/dglocalcoefficients.hh> 
16 #include·<dune/localfunctions/utility/l2interpolation.hh> 
17 #include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>14 brezzidouglasmarini2cube2d.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
 16 #include·"../common/localfiniteelementtraits.hh"
 17 #include·"brezzidouglasmarini2cube2d/brezzidouglasmarini2cube2dlocalbasis.hh"
 18 #include·"brezzidouglasmarini2cube2d/
 19 brezzidouglasmarini2cube2dlocalcoefficients.hh"
 20 #include·"brezzidouglasmarini2cube2d/
 21 brezzidouglasmarini2cube2dlocalinterpolation.hh"
18 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
19 ·Classes23 ·Classes
20 class· Dune::OrthonormalLocalFiniteElement<_dimDomain,_D,_R,_SF,_CF_> 
21  ······A·class·providing·orthonormal·basis·functions.·More...24 class· Dune::BDM2Cube2DLocalFiniteElement<_D,_R_>
 25  ······Second·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.
 26 ········More...
22  27  
23 ·Namespaces28 ·Namespaces
24 namespace· Dune29 namespace· Dune
25  30  
  
26 ===============================================================================31 ===============================================================================
27 ·····Generated·by [doxygen]·1.9.832 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 orthonormal.hh12 ····*·brezzidouglasmarini
 13 brezzidouglasmarini2cube2d.hh
13 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·5#ifndef·DUNE_ORTHONORMALFINITEELEMENT_HH 
20 ·6#define·DUNE_ORTHONORMALFINITEELEMENT_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_QUBE2D_LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_QUBE2D_LOCALFINITEELEMENT_HH
21 ·722 ·7
22 ·8#include·<dune/localfunctions/utility/localfiniteelement.hh> 
23 ·9#include·<dune/localfunctions/utility/dglocalcoefficients.hh> 
24 ·10#include·<dune/localfunctions/utility/l2interpolation.hh> 
25 ·11#include·<dune/localfunctions/orthonormal/orthonormalbasis.hh> 
26 ·1223 ·8#include·<dune/geometry/type.hh>
 24 ·9
 25 ·10#include·"../common/localfiniteelementtraits.hh"
 26 ·11#include·"brezzidouglasmarini2cube2d/
 27 brezzidouglasmarini2cube2dlocalbasis.hh"
 28 ·12#include·"brezzidouglasmarini2cube2d/
 29 brezzidouglasmarini2cube2dlocalcoefficients.hh"
 30 ·13#include·"brezzidouglasmarini2cube2d/
 31 brezzidouglasmarini2cube2dlocalinterpolation.hh"
 32 ·14
27 ·13namespace·Dune33 ·15namespace·Dune
28 ·14{34 ·16{
 35 ·25·template<class·D,·class·R>
 36 26·class·BDM2Cube2DLocalFiniteElement
 37 ·27·{
 38 ·28
29 ·32·template<·unsigned·int·dimDomain,·class·D,·class·R, 
30 ·33·class·SF=R,·class·CF=SF·> 
31 34·class·OrthonormalLocalFiniteElement 
32 ·35·:·public·GenericLocalFiniteElement<·OrthonormalBasisFactory<·dimDomain,·SF, 
33 CF·>, 
34 ·36·DGLocalCoefficientsFactory<·OrthonormalBasisFactory<·dimDomain,·SF,·CF·>·>, 
35 ·37·LocalL2InterpolationFactory<·OrthonormalBasisFactory<·dimDomain,·SF,·CF 
36 >,true·>·> 
37 ·38·{ 
38 ·39·typedef·GenericLocalFiniteElement<_OrthonormalBasisFactory<_dimDomain,_SF, 
39 CF_>, 
40 ·40·DGLocalCoefficientsFactory<_OrthonormalBasisFactory<_dimDomain,_SF,_CF_>·>, 
41 ·41·LocalL2InterpolationFactory<_OrthonormalBasisFactory<_dimDomain,_SF,_CF 
42 >,true·>·>·Base; 
43 ·42·public:39 ·29·public:
44 ·43·using·typename·Base::Traits; 
45 ·44 
46 47·OrthonormalLocalFiniteElement·(·const·GeometryType·&gt,·unsigned·int·order·) 
47 ·48·:·Base(gt,·order)40 ·30·typedef·LocalFiniteElementTraits<
 41 ·31·BDM2Cube2DLocalBasis<D,R>,
 42 ·32·BDM2Cube2DLocalCoefficients,
 43 33·BDM2Cube2DLocalInterpolation<BDM2Cube2DLocalBasis<D,R>·>·>·Traits;
 44 ·34
 45 36·BDM2Cube2DLocalFiniteElement·()
 46 ·37·{}
 47 ·38
 48 44·BDM2Cube2DLocalFiniteElement·(int·s)·:
 49 ·45·basis(s),
 50 ·46·interpolation(s)
48 ·49·{}51 ·47·{}
49 ·50·}; 
50 ·5152 ·48
 53 49·const·typename·Traits::LocalBasisType&·localBasis·()·const
 54 ·50·{
 55 ·51·return·basis;
51 ·52}56 ·52·}
52 ·5357 ·53
53 ·54#endif 
54 l2interpolation.hh 
55 dglocalcoefficients.hh 
56 orthonormalbasis.hh58 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
 59 ·55·{
 60 ·56·return·coefficients;
 61 ·57·}
 62 ·58
 63 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
 64 ·60·{
 65 ·61·return·interpolation;
 66 ·62·}
 67 ·63
 68 65·unsigned·int·size·()·const
 69 ·66·{
 70 ·67·return·basis.size();
 71 ·68·}
 72 ·69
 73 70·static·constexpr·GeometryType·type·()
 74 ·71·{
 75 ·72·return·GeometryTypes::quadrilateral;
 76 ·73·}
 77 ·74
 78 ·75·private:
 79 ·76·BDM2Cube2DLocalBasis<D,R>·basis;
 80 ·77·BDM2Cube2DLocalCoefficients·coefficients;
 81 ·78·BDM2Cube2DLocalInterpolation<BDM2Cube2DLocalBasis<D,R>·>·interpolation;
 82 ·79·};
 83 ·80}
 84 ·81#endif·/
 85 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_QUBE2D_LOCALFINITEELEMENT_HH
 86 brezzidouglasmarini2cube2dlocalcoefficients.hh
 87 brezzidouglasmarini2cube2dlocalbasis.hh
 88 brezzidouglasmarini2cube2dlocalinterpolation.hh
57 Dune89 Dune
58 Definition·bdfmcube.hh:1890 Definition·bdfmcube.hh:18
59 Dune::OrthonormalLocalFiniteElement 
60 A·class·providing·orthonormal·basis·functions. 
61 Definition·orthonormal.hh:38 
62 Dune::OrthonormalLocalFiniteElement::OrthonormalLocalFiniteElement 
63 OrthonormalLocalFiniteElement(const·GeometryType·&gt,·unsigned·int·order) 
64 Definition·orthonormal.hh:47 
65 Dune::DGLocalCoefficientsFactory 
66 A·factory·class·for·the·dg·local·coefficients. 
67 Definition·dglocalcoefficients.hh:59 
68 Dune::LocalL2InterpolationFactory 
69 A·factory·class·for·the·local·l2·interpolations·taking·a·basis·factory. 
70 Definition·l2interpolation.hh:199 
71 Dune::GenericLocalFiniteElement91 Dune::BDM2Cube2DLocalFiniteElement
72 A·LocalFiniteElement·implementation·based·on·three·TopologyFactories·providing 
73 the·LocalBasis,... 
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8 <title>dune-localfunctions:·refinedp1localbasis.hh·File·Reference</title>8 <title>dune-localfunctions:·brezzidouglasmarini2simplex2d.hh·File·Reference</title>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·brezzidouglasmarini
12 ····*·refined 
13 ····*·refinedp1 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 refinedp1localbasis.hh·File·Reference 
16 Linear·Lagrange·shape·functions·on·a·uniformly·refined·reference·element. 
17 More... 
18 #include·<numeric> 
19 #include·<dune/common/fmatrix.hh> 
20 #include·<dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh>14 brezzidouglasmarini2simplex2d.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
 16 #include·"../common/localfiniteelementtraits.hh"
 17 #include·"brezzidouglasmarini2simplex2d/
 18 brezzidouglasmarini2simplex2dlocalbasis.hh"
 19 #include·"brezzidouglasmarini2simplex2d/
 20 brezzidouglasmarini2simplex2dlocalcoefficients.hh"
 21 #include·"brezzidouglasmarini2simplex2d/
 22 brezzidouglasmarini2simplex2dlocalinterpolation.hh"
21 Go_to_the_source_code_of_this_file.23 Go_to_the_source_code_of_this_file.
22 ·Classes24 ·Classes
 25 class· Dune::BDM2Simplex2DLocalFiniteElement<_D,_R_>
 26  ······Second·order·Brezzi-Douglas-Marini·shape·functions·on·triangles.
23 class· Dune::RefinedP1LocalBasis<_D,_R,_dim_> 
24   
25 class· Dune::RefinedP1LocalBasis<_D,_R,_1_> 
26  ······Uniformly·refined·linear·Lagrange·shape·functions·in·1D.·More... 
27   
28 class· Dune::RefinedP1LocalBasis<_D,_R,_2_> 
29  ······Uniformly·refined·linear·Lagrange·shape·functions·on·the·triangle. 
30 ········More...27 ········More...
31  28  
32 class· Dune::RefinedP1LocalBasis<_D,_R,_3_> 
33  ······Uniformly·refined·linear·Lagrange·shape·functions·on·the·3D-simplex 
34 ········(tetrahedron).·More... 
35   
36 ·Namespaces29 ·Namespaces
37 namespace· Dune30 namespace· Dune
38  31  
39 *****·Detailed·Description·***** 
40 Linear·Lagrange·shape·functions·on·a·uniformly·refined·reference·element. 
  
41 ===============================================================================32 ===============================================================================
42 ·····Generated·by [doxygen]·1.9.833 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·brezzidouglasmarini
 13 brezzidouglasmarini2simplex2d.hh
12 ····*·refined 
13 ····*·refinedp1 
14 refinedp1localbasis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_REFINED_P1_LOCALBASIS_HH 
22 ·6#define·DUNE_REFINED_P1_LOCALBASIS_HH20 ·5#ifndef
 21 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALFINITEELEMENT_HH
 22 ·6#define
 23 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALFINITEELEMENT_HH
23 ·724 ·7
24 ·12#include·<numeric> 
25 ·13 
26 ·14#include·<dune/common/fmatrix.hh> 
27 ·15 
28 ·16#include·<dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh> 
29 ·1725 ·8#include·<dune/geometry/type.hh>
 26 ·9
 27 ·10#include·"../common/localfiniteelementtraits.hh"
 28 ·11#include·"brezzidouglasmarini2simplex2d/
 29 brezzidouglasmarini2simplex2dlocalbasis.hh"
 30 ·12#include·"brezzidouglasmarini2simplex2d/
 31 brezzidouglasmarini2simplex2dlocalcoefficients.hh"
 32 ·13#include·"brezzidouglasmarini2simplex2d/
 33 brezzidouglasmarini2simplex2dlocalinterpolation.hh"
 34 ·14
30 ·18namespace·Dune35 ·15namespace·Dune
31 ·19{36 ·16{
32 ·20·template<class·D,·class·R,·int·dim> 
33 21·class·RefinedP1LocalBasis 
34 ·22·:·public·RefinedSimplexLocalBasis<D,dim> 
35 ·23·{ 
36 ·24·public: 
37 25·RefinedP1LocalBasis() 
38 ·26·{ 
39 ·27·DUNE_THROW(Dune::NotImplemented,"RefinedP1LocalBasis·not·implemented·for 
40 dim·>·3."); 
41 ·28·} 
42 ·29·}; 
43 ·30 
44 ·52·template<class·D,·class·R>37 ·25·template<class·D,·class·R>
45 53·class·RefinedP1LocalBasis<D,R,1> 
46 ·54·:·public·RefinedSimplexLocalBasis<D,1>38 26·class·BDM2Simplex2DLocalFiniteElement
 39 ·27·{
 40 ·28
 41 ·29·public:
 42 ·30·typedef·LocalFiniteElementTraits<
 43 ·31·BDM2Simplex2DLocalBasis<D,R>,
 44 ·32·BDM2Simplex2DLocalCoefficients,
 45 33·BDM2Simplex2DLocalInterpolation<BDM2Simplex2DLocalBasis<D,R>·>·>·Traits;
 46 ·34
 47 36·BDM2Simplex2DLocalFiniteElement·()
 48 ·37·{}
 49 ·38
 50 44·BDM2Simplex2DLocalFiniteElement·(int·s)·:
 51 ·45·basis(s),
 52 ·46·interpolation(s)
 53 ·47·{}
 54 ·48
 55 49·const·typename·Traits::LocalBasisType&·localBasis·()·const
 56 ·50·{
 57 ·51·return·basis;
 58 ·52·}
 59 ·53
 60 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
Diff chunk too large, falling back to line-by-line diff (30 lines added, 722 lines removed)
47 ·55·{61 ·55·{
48 ·56·public:62 ·56·return·coefficients;
49 ·58·typedef·LocalBasisTraits<D,1,Dune::FieldVector<D,1>,R,1,Dune::63 ·57·}
50 FieldVector<R,1>,64 ·58
51 59·Dune::FieldMatrix<R,1,1>·>·Traits;65 59·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
52 ·6066 ·60·{
53 62·static·constexpr·unsigned·int·size·()67 ·61·return·interpolation;
54 ·63·{68 ·62·}
55 ·64·return·3;69 ·63
56 ·65·}70 65·unsigned·int·size·()·const
57 ·6671 ·66·{
58 68·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,72 ·67·return·basis.size();
59 ·69·std::vector<typename·Traits::RangeType>&·out)·const73 ·68·}
60 ·70·{74 ·69
61 ·71·out.resize(3);75 70·static·constexpr·GeometryType·type·()
62 ·7276 ·71·{
63 ·73·int·subElement;77 ·72·return·GeometryTypes::triangle;
64 ·74·typename·Traits::DomainType·local;78 ·73·}
65 ·75·this->getSubElement(in,·subElement,·local);79 ·74
66 ·7680 ·75·private:
67 ·77·switch·(subElement)·{81 ·76·BDM2Simplex2DLocalBasis<D,R>·basis;
68 ·78·case·0·:82 ·77·BDM2Simplex2DLocalCoefficients·coefficients;
69 ·7983 ·78·BDM2Simplex2DLocalInterpolation<BDM2Simplex2DLocalBasis<D,R>·>
70 ·80·out[0]·=·1·-·local[0];84 interpolation;
71 ·81·out[1]·=·local[0];85 ·79·};
72 ·82·out[2]·=·0;86 ·80}
73 ·83·break;87 ·81#endif·/
74 ·8488 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALFINITEELEMENT_HH
75 ·85·case·1·:89 brezzidouglasmarini2simplex2dlocalbasis.hh
76 ·8690 brezzidouglasmarini2simplex2dlocalinterpolation.hh
77 ·87·out[0]·=·0;91 brezzidouglasmarini2simplex2dlocalcoefficients.hh
78 ·88·out[1]·=·1·-·local[0]; 
79 ·89·out[2]·=·local[0]; 
80 ·90·break; 
81 ·91 
82 ·92·} 
83 ·93 
84 ·94·} 
85 ·95 
86 ·97·inline·void 
87 98·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position 
88 ·99·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value 
89 ·100·{ 
90 ·101·out.resize(3); 
91 ·102 
92 ·103·int·subElement; 
93 ·104·typename·Traits::DomainType·local; 
94 ·105·this->getSubElement(in,·subElement,·local); 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 refined.hh·File·Reference
 13 Convenience·header·that·includes·all·available·LocalFiniteElements·based·on
 14 uniform·element·refinement.·More...
 15 #include·<dune/localfunctions/refined/refinedp0.hh>
 16 #include·<dune/localfunctions/refined/refinedp1.hh>
12 ····*·refined 
13 ····*·refinedp0 
14 Classes·|·Namespaces 
15 refinedp0localcoefficients.hh·File·Reference 
16 #include·<cstddef> 
17 #include·<iostream> 
18 #include·<vector> 
19 #include·<dune/localfunctions/common/localkey.hh> 
20 Go_to_the_source_code_of_this_file.17 Go_to_the_source_code_of_this_file.
 18 *****·Detailed·Description·*****
 19 Convenience·header·that·includes·all·available·LocalFiniteElements·based·on
 20 uniform·element·refinement.
21 ·Classes 
22 class· Dune::RefinedP0LocalCoefficients<_k_> 
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24   
25 ·Namespaces 
26 namespace· Dune 
27   
  
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12 ····*·refined 
13 ····*·refinedp0 
14 refinedp0localcoefficients.hh 
15 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 19 ·11#include·<dune/localfunctions/refined/refinedp0.hh>
21 ·5#ifndef·DUNE_REFINED_P0_LOCALCOEFFICIENTS_HH 
22 ·6#define·DUNE_REFINED_P0_LOCALCOEFFICIENTS_HH 
23 ·7 
24 ·8#include·<cstddef> 
25 ·9#include·<iostream> 
26 ·10#include·<vector> 
27 ·11 
28 ·12#include·<dune/localfunctions/common/localkey.hh>20 ·12#include·<dune/localfunctions/refined/refinedp1.hh>
 21 refinedp1.hh
 22 refinedp0.hh
 23 Piecewise·P0·finite·element.
29 ·13 
30 ·14namespace·Dune 
31 ·15{ 
32 ·16 
33 ·23·template<unsigned·int·k> 
34 24·class·RefinedP0LocalCoefficients 
35 ·25·{ 
36 ·26·//·2·to·the·k-th·power 
37 ·27·constexpr·static·int·N·=·1<<k; 
38 ·28 
39 ·29·public: 
40 30·RefinedP0LocalCoefficients·()·: 
41 ·31·localKeys_(N) 
42 ·32·{ 
43 ·33·//·All·functions·are·associated·to·the·element 
44 ·34·for·(int·i·=·0;·i·<·N;·++i) 
45 ·35·localKeys_[i]·=·LocalKey(0,0,i); 
46 ·36·} 
47 ·37 
48 39·std::size_t·size·()·const 
49 ·40·{ 
50 ·41·return·N; 
51 ·42·} 
52 ·43 
53 45·const·LocalKey&·localKey·(std::size_t·i)·const 
54 ·46·{ 
55 ·47·return·localKeys_[i]; 
56 ·48·} 
57 ·49 
58 ·50·private: 
59 ·51·std::vector<LocalKey>·localKeys_; 
60 ·52 
61 ·53·}; 
62 ·54 
63 ·55} 
64 ·56 
65 ·57#endif 
66 localkey.hh 
67 Dune 
68 Definition·bdfmcube.hh:18 
69 Dune::LocalKey 
70 Describe·position·of·one·degree·of·freedom. 
71 Definition·localkey.hh:23 
72 Dune::RefinedP0LocalCoefficients 
73 Layout·map·for·RefinedP0·elements. 
74 Definition·refinedp0localcoefficients.hh:25 
75 Dune::RefinedP0LocalCoefficients::RefinedP0LocalCoefficients 
76 RefinedP0LocalCoefficients() 
77 Definition·refinedp0localcoefficients.hh:30 
78 Dune::RefinedP0LocalCoefficients::size 
79 std::size_t·size()·const 
80 number·of·coefficients 
81 Definition·refinedp0localcoefficients.hh:39 
82 Dune::RefinedP0LocalCoefficients::localKey 
83 const·LocalKey·&·localKey(std::size_t·i)·const 
84 get·i'th·index 
85 Definition·refinedp0localcoefficients.hh:45 
  
86 ===============================================================================24 ===============================================================================
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9 No·Matches9 No·Matches
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13 ····*·refinedp012 ····*·brezzidouglasfortinmarini
 13 ····*·cube
14 Classes·|·Namespaces14 Classes·|·Namespaces
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16 #include·<numeric> 
17 #include·<dune/common/fvector.hh>15 localcoefficients.hh·File·Reference
 16 #include·<cstddef>
 17 #include·<vector>
18 #include·<dune/common/fmatrix.hh>18 #include·<dune/common/math.hh>
 19 #include·<dune/common/rangeutilities.hh>
 20 #include·<dune/common/typetraits.hh>
19 #include·<dune/localfunctions/common/localbasis.hh>21 #include·<dune/localfunctions/common/localkey.hh>
20 #include·<dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh> 
21 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
22 ·Classes23 ·Classes
 24 class· Dune::BDFMCubeLocalCoefficients<_D,_R,_dim,_order_>
 25  ······Layout·map·for·Brezzi-Douglas-Fortin-Marini·elements·on·cubes.·More...
23 class· Dune::RefinedP0LocalBasis<_D,_R,_dim_> 
24  ······Uniformly·refined·constant·shape·functions·on·a·unit·simplex·in·R^dim. 
25 ········More... 
26  26  
27 ·Namespaces27 ·Namespaces
28 namespace· Dune28 namespace· Dune
29  29  
  
30 ===============================================================================30 ===============================================================================
31 ·····Generated·by [doxygen]·1.9.831 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·refinedp0localbasis.hh·Source·File</title>8 <title>dune-localfunctions:·localcoefficients.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·refined 
13 ····*·refinedp0 
14 refinedp0localbasis.hh12 ····*·brezzidouglasfortinmarini
 13 ····*·cube
 14 localcoefficients.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*- 
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2: 
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·1//·SPDX-FileCopyrightText:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·2//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_REFINED_P0_LOCALBASIS_HH 
22 ·6#define·DUNE_REFINED_P0_LOCALBASIS_HH 
23 ·7 
24 ·8#include·<numeric> 
25 ·9 
26 ·10#include·<dune/common/fvector.hh>19 ·3#ifndef
 20 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_CUBE_LOCALCOEFFICIENTS_HH
 21 ·4#define
 22 DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_CUBE_LOCALCOEFFICIENTS_HH
 23 ·5
 24 ·6#include·<cstddef>
 25 ·7#include·<vector>
 26 ·8
27 ·11#include·<dune/common/fmatrix.hh>27 ·9#include·<dune/common/math.hh>
 28 ·10#include·<dune/common/rangeutilities.hh>
 29 ·11#include·<dune/common/typetraits.hh>
28 ·1230 ·12
29 ·13#include·<dune/localfunctions/common/localbasis.hh>31 ·13#include·<dune/localfunctions/common/localkey.hh>
 32 ·14
30 ·14#include·<dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh> 
31 ·15 
32 ·16namespace·Dune33 ·15namespace·Dune
 34 ·16{
33 ·17{35 ·17
34 ·18 
35 ·37·template<class·D,·class·R,·int·dim> 
36 38·class·RefinedP0LocalBasis 
37 ·39·:·public·RefinedSimplexLocalBasis<D,dim> 
38 ·40·{ 
39 ·41·//·2·to·the·k-th·power 
40 ·42·constexpr·static·int·N·=·1<<dim;36 ·31·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
 37 32·class·BDFMCubeLocalCoefficients
 38 ·33·{
 39 ·34·static·constexpr·unsigned·int·interiorDofs·=·dim*binomial(dim+order-2,
 40 order-2);
 41 ·35·static·constexpr·unsigned·int·faceDofs·=·binomial(dim+order-2,·order-1);
 42 ·36
 43 ·37·static·constexpr·std::size_t·numFaces·=·2*dim;
 44 ·38·static·constexpr·std::size_t·numDofs·=·numFaces*faceDofs·+·interiorDofs;
 45 ·39
41 ·43·public:46 ·40·public:
 47 42·BDFMCubeLocalCoefficients·()·:·li(numDofs)
42 45·typedef·LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune:: 
43 FieldVector<R,1>,·Dune::FieldMatrix<R,1,dim>·>·Traits; 
44 ·46 
45 48·unsigned·int·size·()·const 
46 ·49·{48 ·43·{
47 ·50·return·N;49 ·44·for·(auto·j·:·range(numFaces))
 50 ·45·for·(auto·i·:·range(faceDofs))
 51 ·46·li[j*faceDofs·+·i]·=·LocalKey(j,·1,·i);
 52 ·47
 53 ·48·for·(auto·i·:·range(interiorDofs))
 54 ·49·li[numFaces*faceDofs·+·i]·=·LocalKey(0,·0,·i);
48 ·51·}55 ·50·}
 56 ·51
 57 53·std::size_t·size·()·const·{·return·numDofs;·}
 58 ·54
 59 56·auto·localKey·(std::size_t·i)·const·->·const·LocalKey&·{·return·li[i];·}
 60 ·57
 61 ·58·private:
 62 ·59·std::vector<LocalKey>·li;
49 ·52 
50 54·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in, 
51 ·55·std::vector<typename·Traits::RangeType>&·out)·const 
52 ·56·{ 
53 ·57·int·subElement·=·this->getSubElement(in); 
54 ·58·out.resize(N); 
55 ·59·for(int·i=0;·i<N;·++i) 
56 ·60·out[i]·=·(i==subElement)·?·1·:·0; 
57 ·61·} 
58 ·62 
59 ·63·inline·void 
60 64·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position 
61 ·65·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value 
62 ·66·{ 
63 ·67·out.resize(N); 
64 ·68·for(int·i=0;·i<N;·++i) 
65 ·69·out[i][0]·=·0; 
66 ·70·} 
67 ·71 
68 73·void·partial·(const·std::array<unsigned·int,·dim>&·order, 
69 ·74·const·typename·Traits::DomainType&·in,·//·position 
70 ·75·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value 
71 ·76·{ 
72 ·77·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0); 
73 ·78·if·(totalOrder·==·0)·{ 
74 ·79·evaluateFunction(in,·out); 
75 ·80·}·else·{ 
76 ·81·out.resize(size()); 
77 ·82·for·(std::size_t·i·=·0;·i·<·size();·++i) 
78 ·83·out[i]·=·0; 
79 ·84·} 
80 ·85·} 
81 ·86 
82 91·unsigned·int·order·()·const 
83 ·92·{ 
84 ·93·return·0; 
85 ·94·} 
86 ·95 
87 ·96·};63 ·60·};
88 ·97 
89 ·98} 
90 ·99#endif 
91 refinedsimplexlocalbasis.hh 
92 Contains·a·base·class·for·LocalBasis·classes·based·on·uniform·refinement.64 ·61
 65 ·62·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
 66 ·63·constexpr·unsigned·int·BDFMCubeLocalCoefficients<D,·R,·dim,·order>::
 67 interiorDofs;
 68 ·64
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·brezzidouglasfortinmarini
12 ····*·refined 
13 ····*·refinedp0 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 refinedp0localinterpolation.hh·File·Reference 
16 #include·<dune/localfunctions/refined/refinedp0/refinedp0localbasis.hh>14 bdfmcube.hh·File·Reference
 15 #include·<dune/geometry/type.hh>
17 #include·<dune/localfunctions/common/localinterpolation.hh>16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 17 #include·<dune/localfunctions/brezzidouglasfortinmarini/cube/localbasis.hh>
 18 #include·<dune/localfunctions/brezzidouglasfortinmarini/cube/
 19 localcoefficients.hh>
 20 #include·<dune/localfunctions/brezzidouglasfortinmarini/cube/
 21 localinterpolation.hh>
18 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
19 ·Classes23 ·Classes
 24 class· Dune::BDFMCubeLocalFiniteElement<_D,_R,_dim,_order_>
 25  ······Brezzi-Douglas-Fortin-Marini·finite·elements·for·cubes.·More...
20 class· Dune::RefinedP0LocalInterpolation<_LB_> 
21   
22 class· Dune::RefinedP0LocalInterpolation<_RefinedP0LocalBasis<_D,_R,_1_>_> 
23   
24 class· Dune::RefinedP0LocalInterpolation<_RefinedP0LocalBasis<_D,_R,_2_>_> 
25   
26 class· Dune::RefinedP0LocalInterpolation<_RefinedP0LocalBasis<_D,_R,_3_>_> 
27  26  
28 ·Namespaces27 ·Namespaces
29 namespace· Dune28 namespace· Dune
30  29  
  
31 ===============================================================================30 ===============================================================================
32 ·····Generated·by [doxygen]·1.9.831 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·refinedp0localinterpolation.hh·Source·File</title>8 <title>dune-localfunctions:·bdfmcube.hh·Source·File</title>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·brezzidouglasfortinmarini
 13 bdfmcube.hh
12 ····*·refined 
13 ····*·refinedp0 
14 refinedp0localinterpolation.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_REFINED_P0_LOCALINTERPOLATION_HH 
22 ·6#define·DUNE_REFINED_P0_LOCALINTERPOLATION_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_BDFMCUBE_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_BDFMCUBE_HH
23 ·722 ·7
24 ·8#include·<dune/localfunctions/refined/refinedp0/refinedp0localbasis.hh>23 ·8#include·<dune/geometry/type.hh>
 24 ·9
25 ·9#include·<dune/localfunctions/common/localinterpolation.hh>25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
26 ·10 
27 ·11namespace·Dune 
28 ·12{ 
29 ·13·template<class·LB> 
30 14·class·RefinedP0LocalInterpolation 
31 ·15·{};26 ·11
 27 ·12#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/localbasis.hh>
 28 ·13#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/
 29 localcoefficients.hh>
 30 ·14#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/
 31 localinterpolation.hh>
 32 ·15
32 ·1633 ·16
33 ·17·template<class·D,·class·R> 
34 18·class·RefinedP0LocalInterpolation<RefinedP0LocalBasis<D,R,1>·>34 17namespace·Dune
 35 ·18{
35 ·19·{36 ·19
 37 ·43·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
 38 44·class·BDFMCubeLocalFiniteElement
36 ·20·typedef·RefinedP0LocalBasis<D,R,1>·LB; 
37 ·21·typedef·typename·LB::Traits::DomainType·DT; 
38 ·22 
39 ·23·public: 
40 24·RefinedP0LocalInterpolation()·: 
41 ·25·interpolationPoints_(2) 
42 ·26·{ 
43 ·27·//·Interpolation·is·done·by·evaluating·at·the·halved·segments·centers 
44 ·28·interpolationPoints_[0][0]·=·1.0/4.0; 
45 ·29 
46 ·30·interpolationPoints_[1][0]·=·3.0/4.0; 
47 ·31·} 
48 ·32 
49 ·33 
50 ·34·template<typename·F,·typename·C> 
51 35·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
52 ·36·{ 
53 ·37·auto&&·f·=·Impl::makeFunctionWithCallOperator<DT>(ff); 
54 ·38 
55 ·39·out.resize(interpolationPoints_.size()); 
56 ·40·for·(size_t·i·=·0;·i·<·out.size();·++i) 
57 ·41·{39 ·45·{
 40 ·46·using·LocalBasis·=·BDFMCubeLocalBasis<D,_R,_dim,_order>;
 41 ·47·using·LocalCoefficients·=·BDFMCubeLocalCoefficients<D,_R,_dim,_order>;
 42 ·48·using·LocalInterpolation·=·BDFMCubeLocalInterpolation<D,_R,_dim,_order>;
58 ·42·out[i]·=·f(interpolationPoints_[i]); 
59 ·43·} 
60 ·44·} 
61 ·45 
62 ·46·private: 
63 ·47·std::vector<DT>·interpolationPoints_; 
64 ·48·}; 
65 ·4943 ·49
66 ·50·template<class·D,·class·R> 
67 51·class·RefinedP0LocalInterpolation<RefinedP0LocalBasis<D,R,2>·>44 ·50·public:
 45 51·using·Traits·=·LocalFiniteElementTraits<LocalBasis,_LocalCoefficients,
 46 LocalInterpolation_>;
68 ·52·{47 ·52
 48 54·BDFMCubeLocalFiniteElement·()·{}
69 ·53·typedef·RefinedP0LocalBasis<D,R,2>·LB; 
70 ·54·typedef·typename·LB::Traits::DomainType·DT; 
71 ·5549 ·55
 50 61·BDFMCubeLocalFiniteElement·(std::bitset<2*dim>·s)
 51 ·62·:·basis(·s·),·interpolation(·s·)
 52 ·63·{}
 53 ·64
 54 65·auto·localBasis·()·const·->·const·LocalBasis&·{·return·basis;·}
 55 66·auto·localCoefficients·()·const·->·const·LocalCoefficients&·{·return
 56 coefficients;·}
 57 67·auto·localInterpolation·()·const·->·const·LocalInterpolation&·{·return
 58 interpolation;·}
 59 ·68
 60 70·unsigned·int·size·()·const·{·return·basis.size();·}
 61 71·static·constexpr·auto·type·()·->·GeometryType·{·return·GeometryTypes::cube
 62 (dim);·}
72 ·56·public: 
73 57·RefinedP0LocalInterpolation()·: 
74 ·58·interpolationPoints_(4) 
75 ·59·{ 
76 ·60·//·Interpolation·is·done·by·evaluating·at·the·subtriangle·centers 
77 ·61·interpolationPoints_[0][0]·=·1.0/6; 
78 ·62·interpolationPoints_[0][1]·=·1.0/6; 
79 ·63 
80 ·64·interpolationPoints_[1][0]·=·4.0/6; 
81 ·65·interpolationPoints_[1][1]·=·1.0/6; 
82 ·66 
83 ·67·interpolationPoints_[2][0]·=·1.0/6; 
84 ·68·interpolationPoints_[2][1]·=·4.0/6; 
85 ·69 
86 ·70·interpolationPoints_[3][0]·=·2.0/6; 
87 ·71·interpolationPoints_[3][1]·=·2.0/6; 
88 ·72·}63 ·72
89 ·73 
90 ·74 
91 ·75·template<typename·F,·typename·C> 
92 76·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const 
93 ·77·{ 
94 ·78·auto&&·f·=·Impl::makeFunctionWithCallOperator<DT>(ff); 
95 ·79 
96 ·80·out.resize(interpolationPoints_.size()); 
97 ·81·for·(size_t·i·=·0;·i·<·out.size();·++i) 
98 ·82·{ 
99 ·83·out[i]·=·f(interpolationPoints_[i]); 
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 12 hierarchical.hh·File·Reference
 13 Convenience·header·that·includes·all·available·hierarchical
 14 LocalFiniteElements.·More...
 15 #include·<dune/localfunctions/hierarchical/hierarchicalp2.hh>
 16 #include·<dune/localfunctions/hierarchical/hierarchicalp2withelementbubble.hh>
 17 #include·<dune/localfunctions/hierarchical/hierarchicalprismp2.hh>
12 ····*·refined 
13 ····*·common 
14 Classes·|·Namespaces 
15 refinedsimplexlocalbasis.hh·File·Reference 
16 Contains·a·base·class·for·LocalBasis·classes·based·on·uniform·refinement. 
17 More... 
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/common/exceptions.hh> 
20 #include·<dune/localfunctions/common/localbasis.hh> 
21 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
22 ·Classes 
23 class· Dune::RefinedSimplexLocalBasis<_D,_dim_> 
24   
25 class· Dune::RefinedSimplexLocalBasis<_D,_1_> 
26  ······Base·class·for·LocalBasis·classes·based·on·uniform·refinement·in·1D; 
27 ········provides·numbering·and·local·coordinates·of·subelements.·More... 
28   
29 class· Dune::RefinedSimplexLocalBasis<_D,_2_> 
30  ······Base·class·for·LocalBasis·classes·based·on·uniform·refinement·in·2D; 
31 ········provides·numbering·and·local·coordinates·of·subelements.·More... 
32   
33 class· Dune::RefinedSimplexLocalBasis<_D,_3_> 
34  ······Base·class·for·LocalBasis·classes·based·on·uniform·refinement·in·3D; 
35 ········provides·numbering·and·local·coordinates·of·subelements.·More... 
36   
37 ·Namespaces 
38 namespace· Dune 
39   
40 *****·Detailed·Description·*****19 *****·Detailed·Description·*****
41 Contains·a·base·class·for·LocalBasis·classes·based·on·uniform·refinement.20 Convenience·header·that·includes·all·available·hierarchical
 21 LocalFiniteElements.
  
42 ===============================================================================22 ===============================================================================
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12 ····*·refined 
13 ····*·common 
14 refinedsimplexlocalbasis.hh 
15 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 19 ·9#include·<dune/localfunctions/hierarchical/hierarchicalp2.hh>
 20 ·10#include·<dune/localfunctions/hierarchical/
 21 hierarchicalp2withelementbubble.hh>
 22 ·11#include·<dune/localfunctions/hierarchical/hierarchicalprismp2.hh>
 23 hierarchicalp2withelementbubble.hh
 24 hierarchicalprismp2.hh
 25 hierarchicalp2.hh
21 ·5#ifndef·DUNE_REFINED_SIMPLEX_LOCALBASIS_HH 
22 ·6#define·DUNE_REFINED_SIMPLEX_LOCALBASIS_HH 
23 ·7 
24 ·12#include·<dune/common/fvector.hh> 
25 ·13#include·<dune/common/exceptions.hh> 
26 ·14#include·<dune/localfunctions/common/localbasis.hh> 
27 ·15 
28 ·16namespace·Dune 
29 ·17{ 
30 ·18·template<class·D,·int·dim> 
31 19·class·RefinedSimplexLocalBasis 
32 ·20·{ 
33 ·21·protected: 
34 22·RefinedSimplexLocalBasis() 
35 ·23·{ 
36 ·24·DUNE_THROW(Dune::NotImplemented,"RefinedSimplexLocalBasis·not·implemented 
37 for·dim·>·3."); 
38 ·25·} 
39 ·26·}; 
40 ·27 
41 ·35·template<class·D> 
42 36·class·RefinedSimplexLocalBasis<D,1> 
43 ·37·{ 
44 ·38·protected: 
45 ·39 
46 41·RefinedSimplexLocalBasis()·{} 
47 ·42 
48 53·static·int·getSubElement(const·FieldVector<D,1>&·global) 
49 ·54·{ 
50 ·55·if·(global[0]·<=·0.5) 
51 ·56·return·0; 
52 ·57·else·if·(global[0]·<=·1.0) 
53 ·58·return·1; 
54 ·59 
55 ·60·DUNE_THROW(InvalidStateException,·"no·subelement·defined"); 
56 ·61·} 
57 ·62 
58 69·static·void·getSubElement(const·FieldVector<D,1>&·global, 
59 ·70·int&·subElement, 
60 ·71·FieldVector<D,1>&·local) 
61 ·72·{ 
62 ·73·if·(global[0]·<=·0.5)·{ 
63 ·74·subElement·=·0; 
64 ·75·local[0]·=·2.0·*·global[0]; 
65 ·76·return; 
66 ·77·} 
67 ·78 
68 ·79·subElement·=·1; 
69 ·80·local[0]·=·2.0·*·global[0]·-·1.0; 
70 ·81·} 
71 ·82 
72 ·83·}; 
73 ·84 
74 ·85 
75 ·96·template<class·D> 
76 97·class·RefinedSimplexLocalBasis<D,2> 
77 ·98·{ 
78 ·99·protected: 
79 ·100 
80 102·RefinedSimplexLocalBasis()·{} 
81 ·103 
82 119·static·int·getSubElement(const·FieldVector<D,2>&·global) 
83 ·120·{ 
84 ·121·if·(global[0]·+·global[1]·<=·0.5) 
85 ·122·return·0; 
86 ·123·else·if·(global[0]·>=·0.5) 
87 ·124·return·1; 
88 ·125·else·if·(global[1]·>=·0.5) 
89 ·126·return·2; 
90 ·127 
91 ·128·return·3; 
92 ·129·} 
93 ·130 
94 137·static·void·getSubElement(const·FieldVector<D,2>&·global, 
95 ·138·int&·subElement, 
96 ·139·FieldVector<D,2>&·local) 
97 ·140·{ 
98 ·141·if·(global[0]·+·global[1]·<=·0.5)·{ 
99 ·142·subElement·=·0; 
100 ·143·local[0]·=·2*global[0]; 
101 ·144·local[1]·=·2*global[1]; 
102 ·145·return; 
103 ·146·}·else·if·(global[0]·>=·0.5)·{ 
104 ·147·subElement·=·1; 
105 ·148·local[0]·=·2*global[0]-1; 
106 ·149·local[1]·=·2*global[1]; 
107 ·150·return; 
108 ·151·}·else·if·(global[1]·>=·0.5)·{ 
109 ·152·subElement·=·2; 
110 ·153·local[0]·=·2*global[0]; 
111 ·154·local[1]·=·2*global[1]-1; 
112 ·155·return; 
113 ·156·} 
114 ·157 
115 ·158·subElement·=·3; 
116 ·159·local[0]·=·-2·*·global[0]·+·1; 
117 ·160·local[1]·=·-2·*·global[1]·+·1; 
118 ·161 
119 ·162·} 
120 ·163 
121 ·164 
122 ·165·}; 
123 ·166 
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10 ····*·dune10 ····*·dune
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 14 basismatrix.hh·File·Reference
 15 #include·<fstream>
 16 #include·<dune/common/exceptions.hh>
14 refinedp0.hh·File·Reference 
15 Piecewise·P0·finite·element.·More... 
16 #include·<dune/geometry/type.hh> 
17 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
18 #include·<dune/localfunctions/lagrange/p0.hh>17 #include·<dune/localfunctions/utility/lfematrix.hh>
 18 #include·<dune/localfunctions/utility/monomialbasis.hh>
 19 #include·<dune/localfunctions/utility/polynomialbasis.hh>
19 #include·"refinedp0/refinedp0localbasis.hh" 
20 #include·"refinedp0/refinedp0localcoefficients.hh" 
21 #include·"refinedp0/refinedp0localinterpolation.hh" 
22 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
23 ·Classes21 ·Classes
 22 struct· Dune::BasisMatrixBase<_PreBasis,_Interpolation,_Field_>
24 class· Dune::RefinedP0LocalFiniteElement<_D,_R,_dim_> 
25  ······Local·finite·element·that·is·piecewise·P0·on·a·once·uniformly·refined 
26 ········reference·geometry.·More... 
27  23  
 24 struct· Dune::BasisMatrix<_const_MonomialBasis<_geometryId,_F_>,
 25 ·········Interpolation,_Field_>
28 class· Dune::RefinedP0LocalFiniteElement<_D,_R,_1_> 
29  ······Local·finite·element·that·is·piecewise·P0·on·a·once·uniformly·refined 
30 ········reference·geometry.·More... 
31  26  
 27 struct· Dune::BasisMatrix<_const_Dune::VirtualMonomialBasis<_dim,_F_>,
 28 ·········Interpolation,_Field_>
32 class· Dune::RefinedP0LocalFiniteElement<_D,_R,_2_> 
33  ······Local·finite·element·that·is·piecewise·P0·on·a·once·uniformly·refined 
34 ········reference·geometry.·More... 
35  29  
36 class· Dune::RefinedP0LocalFiniteElement<_D,_R,_3_> 
37  ······Local·finite·element·that·is·piecewise·P0·on·a·once·uniformly·refined 
38 ········reference·geometry.·More...30 struct· Dune::BasisMatrix<_const_PolynomialBasis<_Eval,_CM,_D,_R_>,
 31 ·········Interpolation,_Field_>
 32  
 33 struct· Dune::BasisMatrix<_const_PolynomialBasisWithMatrix<_Eval,_CM_>,
 34 ·········Interpolation,_Field_>
39  35  
40 ·Namespaces36 ·Namespaces
41 namespace· Dune37 namespace· Dune
42  38  
43 *****·Detailed·Description·***** 
44 Piecewise·P0·finite·element. 
  
45 ===============================================================================39 ===============================================================================
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 13 basismatrix.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_REFINED_P0_LOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_REFINED_P0_LOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_BASISMATRIX_HH
 21 ·6#define·DUNE_BASISMATRIX_HH
22 ·722 ·7
23 ·8#include·<dune/geometry/type.hh> 
24 ·9 
25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>23 ·8#include·<fstream>
 24 ·9#include·<dune/common/exceptions.hh>
 25 ·10
26 ·11#include·<dune/localfunctions/lagrange/p0.hh>26 ·11#include·<dune/localfunctions/utility/lfematrix.hh>
 27 ·12#include·<dune/localfunctions/utility/monomialbasis.hh>
 28 ·13#include·<dune/localfunctions/utility/polynomialbasis.hh>
 29 ·14
27 ·12 
28 ·13#include·"refinedp0/refinedp0localbasis.hh" 
29 ·14#include·"refinedp0/refinedp0localcoefficients.hh" 
30 ·15#include·"refinedp0/refinedp0localinterpolation.hh" 
31 ·16 
32 ·20namespace·Dune30 ·15namespace·Dune
33 ·21{31 ·16{
34 ·22 
35 ·25·template<class·D,·class·R,·int·dim> 
36 26·class·RefinedP0LocalFiniteElement32 ·17·/****************************************
 33 ·18·*·A·dense·matrix·representation·of·a·''polynomial''
 34 ·19·*·basis.·Its·represent·a·basis·as·a·linear
 35 ·20·*·combination·of·a·second·basis,·i.e.,·a
 36 ·21·*·monomial·basis.·It·is·simular·to·the·PolynomialBasis
 37 ·22·*·but·it·not·derived·from·the·LocalBasis·class.
 38 ·23·*·It·is·used·to·define·a·''pre·basis''.
 39 ·24·****************************************/
 40 ·25·template<·class·PreBasis,·class·Interpolation,
 41 ·26·class·Field·>
 42 27·struct·BasisMatrix;
 43 ·28
 44 ·29·template<·class·PreBasis,·class·Interpolation,
 45 ·30·class·Field·>
 46 31·struct·BasisMatrixBase·:·public·LFEMatrix<Field>
37 ·27·{47 ·32·{
 48 33·typedef·LFEMatrix<Field>·Matrix;
 49 ·34
 50 35·BasisMatrixBase(·const·PreBasis&·preBasis,
 51 ·36·const·Interpolation&·localInterpolation·)
 52 ·37·:·cols_(preBasis.size())
 53 ·38·{
 54 ·39·localInterpolation.interpolate(·preBasis,·*this·);
 55 ·40
 56 ·41·if·(·!Matrix::invert()·)
38 ·28·RefinedP0LocalFiniteElement()·{} 
39 ·29 
40 ·30·public: 
41 ·31·//·We·steal·the·p0·traits·since·they·exist·for·all·dim. 
42 ·32·//·This·allows·to·instantiate·the·type·and·access·the·Traits. 
43 33·typedef·typename·P0LocalFiniteElement<D,R,dim>::Traits·Traits; 
44 ·34·}; 
45 ·35 
46 ·38·template<class·D,·class·R> 
47 39·class·RefinedP0LocalFiniteElement<D,R,1> 
48 ·40·{57 ·42·{
 58 ·43·DUNE_THROW(MathError,·"While·computing·basis·a·singular·matrix·was
 59 constructed!");
 60 ·44·}
49 ·41·public: 
50 ·44·typedef·LocalFiniteElementTraits< 
51 ·45·RefinedP0LocalBasis<D,R,1>, 
52 ·46·RefinedP0LocalCoefficients<1>, 
53 47·RefinedP0LocalInterpolation<RefinedP0LocalBasis<D,R,1>·>·>·Traits; 
54 ·48 
55 51·RefinedP0LocalFiniteElement·() 
56 ·52·{} 
57 ·53 
58 56·const·typename·Traits::LocalBasisType&·localBasis·()·const 
59 ·57·{ 
60 ·58·return·basis_; 
61 ·59·}61 ·45·}
 62 46·unsigned·int·cols·()·const
62 ·60 
63 63·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
64 ·64·{63 ·47·{
65 ·65·return·coefficients_; 
66 ·66·}64 ·48·return·cols_;
 65 ·49·}
 66 50·unsigned·int·rows·()·const
 67 ·51·{
 68 ·52·return·Matrix::rows();
 69 ·53·}
 70 ·54·private:
 71 ·55·unsigned·int·cols_;
 72 ·56·};
 73 ·57
 74 ·58·template<·GeometryType::Id·geometryId,·class·F,
 75 ·59·class·Interpolation,
 76 ·60·class·Field·>
 77 61·struct·BasisMatrix<·const·MonomialBasis<·geometryId,·F·>,·Interpolation,
 78 Field·>
 79 ·62·:·public·BasisMatrixBase<·const·MonomialBasis<·geometryId,·F·>,
 80 Interpolation,·Field·>
 81 ·63·{
 82 64·typedef·const·MonomialBasis<_geometryId,_F_>·PreBasis;
 83 65·typedef·BasisMatrixBase<PreBasis,Interpolation,Field>·Base;
 84 66·typedef·typename·Base::Matrix·Matrix;
67 ·6785 ·67
68 70·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const86 68·BasisMatrix(·const·PreBasis&·preBasis,
 87 ·69·const·Interpolation&·localInterpolation·)
 88 ·70·:·Base(preBasis,·localInterpolation)
69 ·71·{89 ·71·{}
 90 ·72·template·<class·Vector>
 91 73·void·row(·const·unsigned·int·row,·Vector·&vec·)·const
70 ·72·return·interpolation_; 
71 ·73·} 
72 ·74 
73 76·unsigned·int·size·()·const 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·refined 
13 Classes·|·Namespaces12 ····*·utility
 13 Namespaces·|·Functions
14 refinedp1.hh·File·Reference14 basisprint.hh·File·Reference
15 #include·<dune/geometry/type.hh> 
16 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
17 #include·<dune/localfunctions/lagrange/p0.hh>15 #include·<dune/localfunctions/utility/multiindex.hh>
 16 #include·<dune/localfunctions/utility/polynomialbasis.hh>
18 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
19 #include·<dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh> 
20 Go_to_the_source_code_of_this_file.17 Go_to_the_source_code_of_this_file.
21 ·Classes 
22 class· Dune::RefinedP1LocalFiniteElement<_D,_R,_dim_> 
23  ······Piecewise·linear·continuous·Lagrange·functions·on·a·uniformly·refined 
24 ········simplex·element.·More... 
25   
26 ·Namespaces18 ·Namespaces
27 namespace· Dune19 namespace· Dune
28  20  
 21 ·Functions
 22 template<int·deriv,·class·BasisFactory·,·class·PrintField·,·GeometryType::Id
 23 geometryId>
 24 void Dune::basisPrint·(std::ostream·&out,·typename·BasisFactory::Object
 25 ······&basis)
 26  
 27 template<int·deriv,·class·BasisFactory·,·class·PrintField·=·typename
 28 BasisFactory::StorageField>
 29 void Dune::basisPrint·(std::ostream·&out,·typename·BasisFactory::Key·&key)
 30  
  
29 ===============================================================================31 ===============================================================================
30 ·····Generated·by [doxygen]·1.9.832 ·····Generated·by [doxygen]·1.9.8
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6 <meta·name="generator"·content="Doxygen·1.9.8"/>6 <meta·name="generator"·content="Doxygen·1.9.8"/>
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8 <title>dune-localfunctions:·refinedp1.hh·Source·File</title>8 <title>dune-localfunctions:·basisprint.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·refined 
13 refinedp1.hh12 ····*·utility
 13 basisprint.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·BASISPRINT
 21 ·6#define·BASISPRINT
 22 ·7#include·<dune/localfunctions/utility/multiindex.hh>
 23 ·8#include·<dune/localfunctions/utility/polynomialbasis.hh>
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_REFINED_REFINEDP1_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_REFINED_REFINEDP1_HH 
22 ·7 
23 ·8#include·<dune/geometry/type.hh> 
24 ·9 
25 ·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
26 ·11#include·<dune/localfunctions/lagrange/p0.hh> 
27 ·12 
28 ·13#include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
29 ·14#include·<dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh> 
30 ·15 
31 ·16namespace·Dune24 ·9namespace·Dune·{
32 ·17{ 
33 ·18 
34 ·25·template<class·D,·class·R,·int·dim> 
35 26·class·RefinedP1LocalFiniteElement25 ·10·/**********************************************
 26 ·11·*·Methods·for·printing·a·PolynomialBasis.
 27 ·12·*·Is·achieved·by·using·the·MultiIndex·class·as
 28 ·13·*·Field·type·and·printing·the·results.
 29 ·14·*·The·basis·and·higher·order·derivatives·can·be
 30 ·15·*·printed.·This·could·be·the·basis·for·printing
 31 ·16·*·routings·providing·C++·or·matlab·methods
 32 ·17·*·for·computing·the·basisfunctions·for·given
 33 ·18·*·orders·or·reference·elements.
 34 ·19·**********************************************/
 35 ·20·//·default·argument·does·not·work·for·gcc·4.1.2
 36 ·21·//·template·<int·deriv,class·BasisFactory,class·PrintField=typename
 37 BasisFactory::StorageField>
 38 ·22·template·<int·deriv,class·BasisFactory,class·PrintField,GeometryType::Id
 39 geometryId>
 40 23·void·basisPrint(std::ostream·&out,
 41 ·24·typename·BasisFactory::Object·&basis)
36 ·27·{42 ·25·{
37 ·28·public: 
38 ·31·typedef·LocalFiniteElementTraits<RefinedP1LocalBasis<D,R,dim>, 
39 ·32·Impl::LagrangeSimplexLocalCoefficients<dim,2>, 
40 33·Impl::LagrangeSimplexLocalInterpolation<Impl:: 
41 LagrangeSimplexLocalBasis<D,R,dim,2>·>·>·Traits; 
42 ·34 
43 37·RefinedP1LocalFiniteElement·() 
44 ·38·{} 
45 ·39 
46 42·const·typename·Traits::LocalBasisType&·localBasis·()·const43 ·26·typedef·typename·BasisFactory::Object·Basis;
 44 ·27·const·int·dimension·=·Basis::dimension;
 45 ·28
 46 ·29·typedef·MultiIndex<_dimension,_PrintField_>·Field;
 47 ·30·typedef·typename·BasisFactory::template
 48 EvaluationBasisFactory<dimension,Field>::Type
 49 ·31·MIBasisFactory;
 50 ·32·typedef·typename·MIBasisFactory::Object·MIBasis;
 51 ·33·typedef·typename·Basis::CoefficientMatrix·CMatrix;
 52 ·34·typedef·PolynomialBasis<StandardEvaluator<MIBasis>,·CMatrix·>·PrintBasis;
 53 ·35
 54 ·36·MIBasis·*miBasis·=·MIBasisFactory::template·create<geometryId>(·basis.basis
 55 ().order());
 56 ·37·PrintBasis·printBasis(*miBasis,basis.matrix(),basis.size());
 57 ·38
 58 ·39·unsigned·int·size·=·printBasis.size();
 59 ·40
 60 ·41·out·<<·"%·Number·of·base·functions:·"·<<·size·<<·std::endl;
 61 ·42·out·<<·"%·Derivative·order:·"·<<·deriv·<<·std::endl;
 62 ·43
 63 ·44·std::vector<·FieldVector<
 64 ·45·FieldVector<Field,LFETensor<Field,dimension,deriv>::size>,
 65 ·46·PrintBasis::dimRange>·>·y(·size·);
 66 ·47
 67 ·48·FieldVector<·Field,·dimension·>·x;
 68 ·49·for(·int·i·=·0;·i·<·dimension;·++i·)
 69 ·50·x[·i·].set(·i,·1·);
 70 ·51·printBasis.template·evaluateSingle<deriv>(·x,·y·);
 71 ·52·for·(unsigned·int·i=0;·i<size;·++i)
47 ·43·{72 ·53·{
 73 ·54·out·<<·"$\\varphi_"·<<·i·<<·"(a,b,c)$&$=$&$"·<<·std::endl;
 74 ·55·out·<<·"(·";
 75 ·56·for·(unsigned·int·r=0;·r<PrintBasis::dimRange;·++r)
 76 ·57·out·<<·y[i][r]·<<·(r<PrintBasis::dimRange-1·?·"·,·$·\\\\·&&·$"·:·"·)$
 77 \\\\");
 78 ·58·out·<<·std::endl;
48 ·44·return·basis_; 
49 ·45·} 
50 ·46 
51 49·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
52 ·50·{ 
53 ·51·return·coefficients_; 
54 ·52·} 
55 ·53 
56 56·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
57 ·57·{ 
58 ·58·return·interpolation_; 
59 ·59·}79 ·59·}
 80 ·60·MIBasisFactory::release(miBasis);
60 ·60 
61 62·unsigned·int·size·()·const 
62 ·63·{ 
63 ·64·return·basis_.size(); 
64 ·65·}81 ·61·}
 82 ·62
 83 ·63·template·<int·deriv,class·BasisFactory,class·PrintField=typename
 84 BasisFactory::StorageField>
 85 64·void·basisPrint(std::ostream·&out,
 86 ·65·typename·BasisFactory::Key·&key)
65 ·6687 ·66·{
66 69·static·constexpr·GeometryType·type·()88 ·67·typename·BasisFactory::Object·*basis·=·BasisFactory::create(key);
 89 ·68·basisPrint<deriv,BasisFactory,PrintField>(out,*basis);
 90 ·69·BasisFactory::release(basis);
67 ·70·{91 ·70·}
68 ·71·return·GeometryTypes::simplex(dim);92 ·71}
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8 <title>dune-localfunctions:·mimetic.hh·File·Reference</title>8 <title>dune-localfunctions:·multiindex.hh·File·Reference</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10 <script·type="text/javascript"·src="jquery.js"></script>10 <script·type="text/javascript"·src="jquery.js"></script>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·utility
12 Classes·|·Namespaces13 Classes·|·Namespaces·|·Functions
13 mimetic.hh·File·Reference14 multiindex.hh·File·Reference
14 #include·<dune/geometry/type.hh> 
15 #include·"common/localfiniteelementtraits.hh" 
16 #include·"mimetic/mimeticall.hh"15 #include·<vector>
 16 #include·<ostream>
 17 #include·<dune/common/fvector.hh>
 18 #include·<dune/localfunctions/utility/field.hh>
17 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
18 ·Classes20 ·Classes
19 class· Dune::MimeticLocalFiniteElement<_D,_R,_dim_>21 ·class· Dune::MultiIndex<_dim,_Field_>
 22  
 23 struct· Dune::Unity<_MultiIndex<_dim,_F_>_>
 24  
 25 struct· Dune::Zero<_MultiIndex<_dim,_F_>_>
20  26  
21 ·Namespaces27 ·Namespaces
22 namespace· Dune28 namespace· Dune
23  29  
 30 ·Functions
 31 template<int·dim,·class·Field·>
 32 ··········std::ostream·& Dune::operator<<·(std::ostream·&,·const·MultiIndex<
 33 ··························dim,·Field·>·&)
 34  
 35 template<int·dim,·class·Field·,·class·F·>
 36 MultiIndex<·dim,·Field·> Dune::operator*·(const·F·&f,·const·MultiIndex<·dim,
 37 ··························Field·>·&m)
 38  
 39 template<int·dim,·class·Field·,·class·F·>
 40 MultiIndex<·dim,·Field·> Dune::operator/·(const·F·&f,·const·MultiIndex<·dim,
 41 ··························Field·>·&m)
 42  
 43 template<int·d,·class·F·>
 44 ··········std::ostream·& Dune::operator<<·(std::ostream·&out,·const·std::
 45 ··························vector<·MultiIndex<·d,·F·>·>·&y)
 46  
 47 template<int·d,·class·F·,·int·dimR>
 48 ··········std::ostream·& Dune::operator<<·(std::ostream·&out,·const·std::
 49 ··························vector<·Dune::FieldVector<·MultiIndex<·d,·F·>,·dimR·>
 50 ··························>·&y)
 51  
 52 template<int·d,·class·F·,·int·dimR1,·int·dimR2>
 53 ··········std::ostream·& Dune::operator<<·(std::ostream·&out,·const·std::
 54 ··························vector<·Dune::FieldMatrix<·MultiIndex<·d,·F·>,·dimR1,
 55 ··························dimR2·>·>·&y)
 56  
 57 template<int·d,·class·F·>
 58 ··········std::ostream·& Dune::operator<<·(std::ostream·&out,·const
 59 ··························MultiIndex<·d,·F·>·&val)
 60  
 61 template<int·dim,·class·Field·>
 62 ····················bool Dune::operator<·(const·Zero<·MultiIndex<·dim,·Field·>
 63 ··························>·&,·const·MultiIndex<·dim,·Field·>·&)
 64  
 65 template<int·dim,·class·Field·>
 66 ····················bool Dune::operator<·(const·MultiIndex<·dim,·Field·>·&f,
 67 ··························const·Zero<·MultiIndex<·dim,·Field·>·>·&)
 68  
  
24 ===============================================================================69 ===============================================================================
25 ·····Generated·by [doxygen]·1.9.870 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 mimetic.hh12 ····*·utility
 13 multiindex.hh
13 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·5#ifndef·DUNE_MIMETICLOCALFINITEELEMENT_HH 
20 ·6#define·DUNE_MIMETICLOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_MULTIINDEX_HH
 21 ·6#define·DUNE_MULTIINDEX_HH
21 ·722 ·7
22 ·8#include·<dune/geometry/type.hh> 
23 ·9 
24 ·10#include·"common/localfiniteelementtraits.hh" 
25 ·11#include·"mimetic/mimeticall.hh"23 ·8#include·<vector>
 24 ·9#include·<ostream>
 25 ·10
 26 ·11#include·<dune/common/fvector.hh>
26 ·1227 ·12
 28 ·13#include·<dune/localfunctions/utility/field.hh>
 29 ·14
27 ·13namespace·Dune30 ·15namespace·Dune
28 ·14{31 ·16{
29 ·22·template<class·D,·class·R,·int·dim> 
30 23·class·MimeticLocalFiniteElement 
31 ·24·{ 
32 ·25·Dune::GeometryType·gt; 
33 ·26·MimeticLocalBasis<D,R,dim>·basis; 
34 ·27·MimeticLocalCoefficients·coefficients; 
35 ·28·MimeticLocalInterpolation<MimeticLocalBasis<D,R,dim>·>·interpolation;32 ·17·/****************************************************************
 33 ·18·*·Provide·a·Field·class·which·can·be·used·in·evaluation·methods
 34 ·19·*·to·produce·MultiIndex·presentation·of·polynomials.
 35 ·20·****************************************************************/
 36 ·21·//·Internal·Forward·Declarations
 37 ·22·//·-----------------------------
 38 ·23
 39 ·24·template<·int·dim,·class·Field·>
 40 ·25·class·MultiIndex;
 41 ·26
 42 ·27·template<·int·dim,·class·Field·>
 43 28·std::ostream·&operator<<(·std::ostream·&,·const·MultiIndex<_dim,Field_>·&·);
36 ·2944 ·29
37 ·30·public: 
38 ·31·typedef·Dune::LocalFiniteElementTraits<MimeticLocalBasis<D,R,dim>, 
39 ·32·MimeticLocalCoefficients, 
40 33·MimeticLocalInterpolation<MimeticLocalBasis<D,R,dim>·>·>·Traits;45 ·30
 46 ·31
 47 ·32·//·MultiIndex
 48 ·33·//·----------
41 ·3449 ·34
42 35·MimeticLocalFiniteElement·() 
43 ·36·{}50 ·35·template<·int·dim,class·Field·>
 51 36·class·MultiIndex
44 ·3752 ·37·{
45 38·MimeticLocalFiniteElement·(Dune::GeometryType::BasicType·basicType) 
46 ·39·:·gt(basicType,dim) 
47 ·40·{}53 ·38·typedef·MultiIndex<_dim,_Field_>·This;
 54 ·39
 55 40·friend·std::ostream·&operator<<<>·(·std::ostream·&,·const·This·&·);
48 ·4156 ·41
 57 ·42·public:
 58 43·static·const·int·dimension·=·dim;
 59 ·44
 60 45·MultiIndex·()
 61 ·46·:·vecZ_(·0·),
 62 ·47·vecOMZ_(·0·),
 63 ·48·factor_(·1.·),
 64 ·49·next_(·0·)
 65 ·50·{}
 66 ·51·template·<class·F>
 67 52·explicit·MultiIndex·(const·F·&f)
 68 ·53·:·vecZ_(·0·),
 69 ·54·vecOMZ_(·0·),
 70 ·55·factor_(·field_cast<Field>(f)·),
 71 ·56·next_(·0·)
49 42·MimeticLocalFiniteElement·(Dune::GeometryType::BasicType·basicType,·unsigned 
50 int·variant) 
51 ·43·:·gt(basicType,dim),·basis(variant),·coefficients(variant) 
52 ·44·{} 
53 ·45 
54 46·const·typename·Traits::LocalBasisType&·localBasis·()·const 
55 ·47·{ 
56 ·48·return·basis; 
57 ·49·} 
58 ·50 
59 51·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const 
60 ·52·{ 
61 ·53·return·coefficients; 
62 ·54·} 
63 ·55 
64 56·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const 
65 ·57·{72 ·57·{}
66 ·58·return·interpolation;73 ·58
 74 59·MultiIndex·(·int,·const·This·&other·)
 75 ·60·:·vecZ_(·other.vecOMZ_·),
 76 ·61·vecOMZ_(·other.vecZ_·),
 77 ·62·factor_(·other.factor_·)
 78 ·63·{
 79 ·64·assert(!other.next_);
 80 ·65·if·(other.next_)
 81 ·66·{
 82 ·67·next_·=·new·This(·*(other.next_)·);
 83 ·68·}
 84 ·69·else
 85 ·70·next_·=·0;
 86 ·71·}
 87 ·72
 88 73·MultiIndex·(·const·This·&other·)
 89 ·74·:·vecZ_(·other.vecZ_·),
 90 ·75·vecOMZ_(·other.vecOMZ_·),
 91 ·76·factor_(·other.factor_·)
 92 ·77·{
 93 ·78·if·(other.next_)
 94 ·79·{
 95 ·80·next_·=·new·This(·*(other.next_)·);
 96 ·81·}
 97 ·82·else
 98 ·83·next_·=·0;
 99 ·84·}
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9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·utility
12 ····*·nedelec 
13 ····*·nedelecsimplex 
14 Classes·|·Namespaces13 Classes·|·Namespaces·|·Functions
15 nedelecsimplexbasis.hh·File·Reference 
16 #include·<fstream>14 field.hh·File·Reference
 15 #include·<dune/common/gmpfield.hh>
17 #include·<dune/common/exceptions.hh>16 #include·<dune/common/fvector.hh>
 17 #include·<dune/common/fmatrix.hh>
18 #include·<dune/localfunctions/utility/defaultbasisfactory.hh> 
19 #include·"nedelecsimplexinterpolation.hh" 
20 #include·"nedelecsimplexprebasis.hh" 
21 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
22 ·Classes19 ·Classes
23 struct· Dune::NedelecBasisFactory<_dim,_SF,_CF_>20 struct· Dune::Unity<_Field_>
 21  ·······A·class·representing·the·unit·of·a·given·Field.·More...
 22  
 23 struct· Dune::Zero<_Field_>
 24  ·······A·class·representing·the·zero·of·a·given·Field.·More...
 25  
 26 struct· Dune::FieldCast<_F2,_V_>
 27  
 28 struct· Dune::FieldCast<_F2,_Dune::FieldVector<_F1,_dim_>_>
 29  
 30 struct· Dune::FieldCast<_F2,_Dune::FieldMatrix<_F1,_dim1,_dim2_>_>
 31  
 32 struct· Dune::Precision<_double_>
 33  
 34 struct· Dune::Precision<_long_double_>
 35  
 36 struct· Dune::Precision<_float_>
 37  
 38 struct· Dune::ComputeField<_Field,_sum_>
24  39  
25 ·Namespaces40 ·Namespaces
26 namespace· Dune41 namespace· Dune
27  42  
 43 ·Functions
 44 template<class·Field·>
 45 ···················Field Dune::operator+·(const·Unity<·Field·>·&u,·const·Field
 46 ··························&f)
 47  
 48 template<class·Field·>
 49 ···················Field Dune::operator-·(const·Unity<·Field·>·&u,·const·Field
 50 ··························&f)
 51  
 52 template<class·Field·>
 53 ···················Field Dune::operator*·(const·Unity<·Field·>·&u,·const·Field
 54 ··························&f)
 55  
 56 template<class·Field·>
 57 ···················Field Dune::operator/·(const·Unity<·Field·>·&u,·const·Field
 58 ··························&f)
 59  
 60 template<class·Field·>
 61 ····················bool Dune::operator==·(const·Zero<·Field·>·&,·const·Field
 62 ··························&f)
 63  
 64 template<class·Field·>
 65 ····················bool Dune::operator==·(const·Field·&f,·const·Zero<·Field·>
 66 ··························&z)
 67  
 68 template<class·Field·>
 69 ····················bool Dune::operator<·(const·Zero<·Field·>·&,·const·Field
 70 ··························&f)
 71  
 72 template<class·Field·>
 73 ····················bool Dune::operator<·(const·Field·&f,·const·Zero<·Field·>
 74 ··························&)
 75  
 76 template<class·Field·>
 77 ····················bool Dune::operator>·(const·Zero<·Field·>·&z,·const·Field
 78 ··························&f)
 79  
 80 template<class·Field·>
 81 ····················bool Dune::operator>·(const·Field·&f,·const·Zero<·Field·>
 82 ··························&z)
 83  
 84 template<class·F2·,·class·F1·>
 85 ····················void Dune::field_cast·(const·F1·&f1,·F2·&f2)
 86  ························a·helper·class·to·cast·from·one·field·to·another
 87  
 88 template<class·F2·,·class·F1·,·int·dim>
 89 ····················void Dune::field_cast·(const·Dune::FieldVector<·F1,·dim·>
 90 ··························&f1,·Dune::FieldVector<·F2,·dim·>·&f2)
 91  
 92 template<class·F2·,·class·F1·>
 93 ····················void Dune::field_cast·(const·Dune::FieldVector<·F1,·1·>
 94 ··························&f1,·F2·&f2)
 95  
 96 template<class·F2·,·class·F1·>
 97 ····················void Dune::field_cast·(const·F1·&f1,·Dune::FieldVector<
 98 ··························F2,·1·>·&f2)
 99  
 100 template<class·F2·,·class·F1·,·int·rdim,·int·cdim>
 101 ····················void Dune::field_cast·(const·Dune::FieldMatrix<·F1,·rdim,
 102 ··························cdim·>·&f1,·Dune::FieldMatrix<·F2,·rdim,·cdim·>·&f2)
 103  
 104 template<class·F2·,·class·F1·>
 105 ····················void Dune::field_cast·(const·Dune::FieldMatrix<·F1,·1,·1·>
 106 ··························&f1,·Dune::FieldMatrix<·F2,·1,·1·>·&f2)
 107  
 108 template<class·F2·,·class·F1·>
 109 ····················void Dune::field_cast·(const·Dune::FieldMatrix<·F1,·1,·1·>
 110 ··························&f1,·F2·&f2)
 111  
 112 template<class·F2·,·class·F1·>
 113 ····················void Dune::field_cast·(const·F1·&f1,·Dune::FieldMatrix<
 114 ··························F2,·1,·1·>·&f2)
 115  
 116 template<class·F2·,·class·F1·>
 117 ····················void Dune::field_cast·(const·Dune::FieldVector<·F1,·1·>
 118 ··························&f1,·Dune::FieldMatrix<·F2,·1,·1·>·&f2)
 119  
 120 template<class·F2·,·class·F1·>
 121 ····················void Dune::field_cast·(const·Dune::FieldMatrix<·F1,·1,·1·>
 122 ··························&f1,·Dune::FieldVector<·F2,·1·>·&f2)
 123  
 124 template<class·F2·,·class·F1·>
 125 ····················void Dune::field_cast·(const·Dune::FieldVector<·F1,·1·>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·utility
 13 field.hh
12 ····*·nedelec 
13 ····*·nedelecsimplex 
14 nedelecsimplexbasis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·DUNE_LOCALFUNCTIONS_UTILITY_FIELD_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_UTILITY_FIELD_HH
 22 ·7
 23 ·8#include·<dune/common/gmpfield.hh>
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH 
22 ·6 
23 ·7#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH 
24 ·8 
25 ·9#include·<fstream> 
26 ·10#include·<dune/common/exceptions.hh>24 ·9#include·<dune/common/fvector.hh>
 25 ·10#include·<dune/common/fmatrix.hh>
27 ·1126 ·11
28 ·12#include·<dune/localfunctions/utility/defaultbasisfactory.hh> 
29 ·13#include·"nedelecsimplexinterpolation.hh" 
30 ·14#include·"nedelecsimplexprebasis.hh" 
31 ·15 
32 ·16namespace·Dune27 ·12namespace·Dune
 28 ·13{
 29 ·14
 30 ·15·//·Unity
 31 ·16·//·-----
33 ·17{32 ·17
 33 ·28·template<·class·Field·>
 34 29·struct·Unity
 35 ·30·{
 36 31·operator·Field·()·const
 37 ·32·{
 38 ·33·return·Field(·1·);
 39 ·34·}
 40 ·35·};
 41 ·36
 42 ·37·template<·class·Field·>
 43 38·Field·operator+(·const·Unity<_Field_>·&u,·const·Field·&f·)
 44 ·39·{
 45 ·40·return·(Field)u·+·f;
34 ·18·/* 
35 ·19·*·`NedelecPreBasisFactory`·provides·a·basis·for·the·Nedelec·function·space. 
36 ·20·*·`NedelecL2InterpolationFactory`·provides·the·linear·functionals. 
37 ·21·* 
38 ·22·*·`Defaultbasisfactory::create`·first·builds·the·function·space·and·the 
39 linear·functionals. 
40 ·23·*·Then·the·constructor·of·`BasisMatrix`·gets·called.·There·the·matrix 
41 ·24·* 
42 ·25·*·\begin{equation} 
43 ·26·*·A_{i,j}·:=·N_j(\phi_i) 
44 ·27·*·\end{equation} 
45 ·28·* 
46 ·29·*·with·linear·functionals·$N_j$·and·basisfunctions·$\phi_i$·gets·assembled. 
47 ·30·*·Then·the·matrix·gets·inverted·and·is·then·used·as·a·coefficent·matrix·for 
48 the·standard·monomial·basis. 
49 ·31·* 
50 ·32·*·For·more·details·on·the·theory·see·the·first·chapter·"Construction·of 
51 Local·Finite·Element·Spaces·Using·the·Generic·Reference·Elements" 
52 ·33·*·of·the·book·"Advances·in·Dune"·by·Dedner,·Flemisch·and·Klöfkorn·published 
53 in·2012. 
54 ·34·*/ 
55 ·35 
56 ·36·template<·unsigned·int·dim,·class·SF,·class·CF·> 
57 37·struct·NedelecBasisFactory 
58 ·38·:·public·DefaultBasisFactory<·NedelecPreBasisFactory<dim,CF>, 
59 ·39·NedelecL2InterpolationFactory<dim,CF>, 
60 ·40·dim,dim,SF,CF·> 
61 ·41·{};46 ·41·}
62 ·42}47 ·42
63 ·43 
64 ·44#endif·//·#ifndef 
65 DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH 
66 defaultbasisfactory.hh 
67 nedelecsimplexprebasis.hh 
68 nedelecsimplexinterpolation.hh48 ·43·template<·class·Field·>
 49 44·Field·operator-(·const·Unity<_Field_>·&u,·const·Field·&f·)
 50 ·45·{
 51 ·46·return·(Field)u·-·f;
 52 ·47·}
 53 ·48
 54 ·49·template<·class·Field·>
 55 50·Field·operator*(·const·Unity<_Field_>·&u,·const·Field·&f·)
 56 ·51·{
 57 ·52·return·f;
 58 ·53·}
 59 ·54
 60 ·55·template<·class·Field·>
 61 56·Field·operator/(·const·Unity<_Field_>·&u,·const·Field·&f·)
 62 ·57·{
 63 ·58·return·(Field)u·/·f;
 64 ·59·}
 65 ·60
 66 ·61
 67 ·62
 68 ·63·//·Zero
 69 ·64·//·----
 70 ·65
 71 ·77·template<·class·Field·>
 72 78·struct·Zero
 73 ·79·{
 74 80·operator·Field·()·const
 75 ·81·{
 76 ·82·return·Field(·0·);
 77 ·83·}
 78 84·static·const·Field·epsilon()
 79 ·85·{
 80 ·86·return·Field(1e-12);
 81 ·87·}
 82 ·88·};
 83 ·89
 84 ·90#if·HAVE_GMP
 85 ·91·template<·unsigned·int·precision·>
 86 ·92·struct·Zero<·GMPField<·precision·>·>
 87 ·93·{
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·utility
12 ····*·nedelec 
13 ····*·nedelecsimplex 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 nedelecsimplexprebasis.hh·File·Reference 
16 #include·<fstream> 
17 #include·<utility>14 monomialbasis.hh·File·Reference
 15 #include·<vector>
 16 #include·<dune/common/fvector.hh>
 17 #include·<dune/common/fmatrix.hh>
18 #include·<dune/geometry/type.hh>18 #include·<dune/geometry/type.hh>
 19 #include·<dune/geometry/topologyfactory.hh>
19 #include·<dune/localfunctions/utility/polynomialbasis.hh>20 #include·<dune/localfunctions/utility/field.hh>
 21 #include·<dune/localfunctions/utility/multiindex.hh>
 22 #include·<dune/localfunctions/utility/tensor.hh>
20 Go_to_the_source_code_of_this_file.23 Go_to_the_source_code_of_this_file.
21 ·Classes24 ·Classes
22 struct· Dune::NedelecPreBasisFactory<_dim,_Field_>25 ·class· Dune::MonomialBasisSize<_geometryId_>
23  26  
 27 struct· Dune::MonomialBasisHelper<_mydim,_dim,_F_>
24 struct· Dune::NedelecPreBasisFactory<_dim,_Field_>::EvaluationBasisFactory< 
25 ·········dd,_FF_> 
26  28  
27 struct· Dune::NedelecVecMatrix<_geometryId,_Field_>29 ·class· Dune::MonomialBasisImpl<_geometryId,_F_>
 30  
 31 ·class· Dune::MonomialBasis<_geometryId,_F_>
 32  
 33 ·class· Dune::StandardMonomialBasis<_dim,_F_>
 34  
 35 ·class· Dune::StandardBiMonomialBasis<_dim,_F_>
 36  
 37 ·class· Dune::VirtualMonomialBasis<_dim,_F_>
 38  
 39 ·class· Dune::VirtualMonomialBasisImpl<_geometryId,_F_>
 40  
 41 struct· Dune::MonomialBasisFactory<_dim,_F_>
 42  
 43 struct· Dune::MonomialBasisFactory<_dim,_F_>::EvaluationBasisFactory<_dd,_FF_>
 44  
 45 struct· Dune::MonomialBasisProvider<_dim,_SF_>
 46  
 47 struct· Dune::MonomialBasisProvider<_dim,_SF_>::EvaluationBasisFactory<_dd,_FF
 48 ·········>
28  49  
29 ·Namespaces50 ·Namespaces
30 namespace· Dune51 namespace· Dune
31  52  
  
32 ===============================================================================53 ===============================================================================
33 ·····Generated·by [doxygen]·1.9.854 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·utility
 13 monomialbasis.hh
12 ····*·nedelec 
13 ····*·nedelecsimplex 
14 nedelecsimplexprebasis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXPREBASIS_HH 
22 ·6#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXPREBASIS_HH20 ·5#ifndef·DUNE_MONOMIALBASIS_HH
 21 ·6#define·DUNE_MONOMIALBASIS_HH
23 ·722 ·7
24 ·8#include·<fstream>23 ·8#include·<vector>
25 ·9#include·<utility> 
26 ·10 
27 ·11#include·<dune/geometry/type.hh>24 ·9
 25 ·10#include·<dune/common/fvector.hh>
 26 ·11#include·<dune/common/fmatrix.hh>
28 ·1227 ·12
 28 ·13#include·<dune/geometry/type.hh>
 29 ·14#include·<dune/geometry/topologyfactory.hh>
 30 ·15
29 ·13#include·<dune/localfunctions/utility/polynomialbasis.hh>31 ·16#include·<dune/localfunctions/utility/field.hh>
 32 ·17#include·<dune/localfunctions/utility/multiindex.hh>
 33 ·18#include·<dune/localfunctions/utility/tensor.hh>
30 ·14 
31 ·15namespace·Dune 
32 ·16{ 
33 ·17·template·<·GeometryType::Id·geometryId,·class·Field·> 
34 ·18·struct·NedelecVecMatrix; 
35 ·1934 ·19
 35 ·20namespace·Dune
 36 ·21{
 37 ·22·/************************************************
 38 ·23·*·Classes·for·evaluating·''Monomials''·on·any·order
 39 ·24·*·for·all·reference·element·type.
 40 ·25·*·For·a·simplex·topology·these·are·the·normal
 41 ·26·*·monomials·for·cube·topologies·the·bimonomials.
 42 ·27·*·The·construction·follows·the·construction·of·the
 43 ·28·*·generic·geometries·using·tensor·products·for
 44 ·29·*·prism·generation·and·duffy·transform·for·pyramid
 45 ·30·*·construction.
 46 ·31·*·A·derivative·argument·can·be·applied,·in·which·case
 47 ·32·*·all·derivatives·up·to·the·desired·order·are
 48 ·33·*·evaluated.·Note·that·for·higher·order·derivatives
 49 ·34·*·only·the·''lower''·part·of·the·symmetric·tensor
 50 ·35·*·is·evaluated,·e.g.,·passing·derivative·equal·to·2
 51 ·36·*·to·the·class·will·provide·the·vector
 52 ·37·*·(d/dxdx·p,·d/dxydx·p,·d/dydy·p,
 53 ·38·*·d/dx·p,·d/dy·p,·p)
 54 ·39·*·Important:
 55 ·40·*·So·far·the·computation·of·the·derivatives·has·not
 56 ·41·*·been·fully·implemented·for·general·pyramid
 57 ·42·*·construction,·i.e.,·in·the·case·where·a·pyramid·is
 58 ·43·*·build·over·a·non·simplex·base·geometry.
36 ·20·template·<unsigned·int·dim,·class·Field> 
37 21·struct·NedelecPreBasisFactory 
38 ·22·{ 
39 23·typedef·MonomialBasisProvider<dim,Field>·MBasisFactory; 
40 24·typedef·typename·MBasisFactory::Object·MBasis; 
41 25·typedef·StandardEvaluator<MBasis>·EvalMBasis; 
42 26·typedef·PolynomialBasisWithMatrix<EvalMBasis,SparseCoeffMatrix<Field,dim>·> 
43 Basis; 
44 ·27 
45 28·typedef·const·Basis·Object; 
46 29·typedef·std::size_t·Key; 
47 ·30 
48 ·31·template·<unsigned·int·dd,·class·FF> 
49 32·struct·EvaluationBasisFactory 
50 ·33·{ 
51 34·typedef·MonomialBasisProvider<dd,FF>·Type; 
52 ·35·}; 
53 ·36 
54 ·37·template<·GeometryType::Id·geometryId·> 
55 38·static·Object·*create·(·Key·order·) 
56 ·39·{ 
57 ·40·/* 
58 ·41·*·The·nedelec·parameter·begins·at·1. 
59 ·42·*·This·is·the·numbering·used·by·J.C.·Nedelec·himself. 
60 ·43·*·See·"Mixed·Finite·Elements·in·\R^3"·published·in·1980. 
61 ·44·*59 ·44·*
62 ·45·*·This·construction·is·based·on·the·construction·of·Raviart-Thomas 
63 elements. 
64 ·46·*·There·the·numbering·starts·at·0. 
65 ·47·*·Because·of·this·we·reduce·the·order·internally·by·1. 
66 ·48·*/ 
67 ·49·order--; 
68 ·50·NedelecVecMatrix<geometryId,Field>·vecMatrix(order); 
69 ·51·MBasis·*mbasis·=·MBasisFactory::template·create<geometryId>(order+1); 
70 ·52·std::remove_const_t<Object>*·tmBasis·=·new·std::remove_const_t<Object> 
71 (*mbasis); 
72 ·53·tmBasis->fill(vecMatrix); 
73 ·54·return·tmBasis; 
74 ·55·} 
75 56·static·void·release(·Object·*object·)·{·delete·object;·} 
76 ·57·}; 
77 ·5860 ·45·*·Central·classes:
 61 ·46·*·1)·template<·GeometryType::Id·geometryId,·class·F·>
 62 ·47·*·class·MonomialBasisImpl;
 63 ·48·*·Implementation·of·the·monomial·evaluation·for
 64 ·49·*·a·given·topology·and·field·type.
 65 ·50·*·The·method·evaluate·fills·a·F*·vector
 66 ·51·*·2)·template<·GeometryType::Id·geometryId,·class·F·>
 67 ·52·*·class·MonomialBasis
 68 ·53·*·The·base·class·for·the·static·monomial·evaluation
 69 ·54·*·providing·addiional·evaluate·methods·including
 70 ·55·*·one·taking·std::vector<F>.
 71 ·56·*·3)·template<·int·dim,·class·F·>
 72 ·57·*·class·VirtualMonomialBasis
 73 ·58·*·Virtualization·of·the·MonomialBasis.
 74 ·59·*·4)·template<·int·dim,·class·F·>
 75 ·60·*·struct·MonomialBasisFactory;
 76 ·61·*·A·factory·class·for·the·VirtualMonomialBasis
 77 ·62·*·5)·template<·int·dim,·class·F·>
 78 ·63·*·struct·MonomialBasisProvider
 79 ·64·*·A·singleton·container·for·the·virtual·monomial
 80 ·65·*·basis
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·utility
12 ····*·nedelec 
13 ····*·nedelecsimplex 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 nedelecsimplexinterpolation.hh·File·Reference14 coeffmatrix.hh·File·Reference
 15 #include·<cassert>
16 #include·<fstream>16 #include·<iostream>
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17 #include·<utility> 
18 #include·<numeric> 
19 #include·<dune/common/exceptions.hh>18 #include·<dune/common/fvector.hh>
20 #include·<dune/geometry/quadraturerules.hh> 
21 #include·<dune/geometry/referenceelements.hh> 
22 #include·<dune/geometry/type.hh> 
23 #include·<dune/localfunctions/common/localkey.hh>19 #include·<dune/localfunctions/utility/field.hh>
24 #include·<dune/localfunctions/utility/interpolationhelper.hh>20 #include·<dune/localfunctions/utility/tensor.hh>
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26 #include·<dune/localfunctions/orthonormal/orthonormalbasis.hh> 
27 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
28 ·Classes22 ·Classes
29 ·class· Dune::LocalCoefficientsContainer23 struct· Dune::Mult<_Field,_Field2_>
30  24  
31 struct· Dune::NedelecCoefficientsFactory<_dim_>25 struct· Dune::Mult<_Field,_FieldVector<_Field2,_dimRange_>_>
32  26  
 27 ·class· Dune::SparseCoeffMatrix<_F,_bSize_>
33 struct· Dune::NedelecL2InterpolationBuilder<_dim,_Field_> 
34   
35 ·class· Dune::NedelecL2Interpolation<_dimension,_F_> 
36  ·······An·L2-based·interpolation·for·Nedelec.·More... 
37   
38 struct· Dune::NedelecL2InterpolationFactory<_dim,_Field_> 
39  28  
40 ·Namespaces29 ·Namespaces
41 namespace· Dune30 namespace· Dune
42  31  
  
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·utility
 13 coeffmatrix.hh
12 ····*·nedelec 
13 ····*·nedelecsimplex 
14 nedelecsimplexinterpolation.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
 20 ·5#ifndef·DUNE_COEFFMATRIX_HH
 21 ·6#define·DUNE_COEFFMATRIX_HH
 22 ·7#include·<cassert>
21 ·5#ifndef 
22 DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXINTERPOLATION_HH 
23 ·6#define 
24 DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXINTERPOLATION_HH 
25 ·7 
26 ·8#include·<fstream>23 ·8#include·<iostream>
 24 ·9#include·<vector>
27 ·9#include·<utility> 
28 ·10#include·<numeric> 
29 ·11 
30 ·12#include·<dune/common/exceptions.hh>25 ·10#include·<dune/common/fvector.hh>
 26 ·11#include·<dune/localfunctions/utility/field.hh>
 27 ·12#include·<dune/localfunctions/utility/tensor.hh>
31 ·1328 ·13
32 ·14#include·<dune/geometry/quadraturerules.hh> 
33 ·15#include·<dune/geometry/referenceelements.hh> 
34 ·16#include·<dune/geometry/type.hh> 
35 ·17 
36 ·18#include·<dune/localfunctions/common/localkey.hh> 
37 ·19#include·<dune/localfunctions/utility/interpolationhelper.hh> 
38 ·20#include·<dune/localfunctions/utility/polynomialbasis.hh> 
39 ·21#include·<dune/localfunctions/orthonormal/orthonormalbasis.hh> 
40 ·22 
41 ·23namespace·Dune29 ·14namespace·Dune
42 ·24{ 
43 ·25 
44 ·26·//·Internal·Forward·Declarations 
45 ·27·//·----------------------------- 
46 ·28 
47 ·29·template·<·unsigned·int·dim,·class·Field·> 
48 ·30·struct·NedelecL2InterpolationFactory; 
49 ·31 
50 ·32 
51 ·33 
52 ·34·//·LocalCoefficientsContainer 
53 ·35·//·-------------------------- 
54 ·36 
55 37·class·LocalCoefficientsContainer30 ·15{
 31 ·16·/*************************************************
 32 ·17·*·Default·class·for·storing·a·coefficient·matrix
 33 ·18·*·for·the·PolynomialBasis.·Basically·a·simple
 34 ·19·*·CRS·structure·is·used.·The·additional·complexity
 35 ·20·*·is·due·to·the·storage·and·efficient·evaluation
 36 ·21·*·of·higher·order·derivatives.·See·the·remarks
 37 ·22·*·in·tensor.hh·which·also·hold·true·for·this·file.
 38 ·23·*************************************************/
 39 ·24·template·<class·Field,·class·Field2>
 40 25·struct·Mult
 41 ·26·{
 42 27·typedef·Field2·BasisEntry;
 43 28·static·void·add(const·Field·&vec1,·const·BasisEntry·&vec2,
 44 ·29·BasisEntry·&res)
56 ·38·{45 ·30·{
57 ·39·typedef·LocalCoefficientsContainer·This; 
58 ·4046 ·31·res·+=·vec1*vec2;
 47 ·32·}
 48 ·33·};
 49 ·34
 50 ·35·template·<class·Field,class·Field2,·int·dimRange>
 51 36·struct·Mult<·Field,FieldVector<Field2,dimRange>·>
 52 ·37·{
 53 38·typedef·FieldVector<Field2,dimRange>·BasisEntry;
 54 39·static·void·add(const·Field·&vec1,·const·BasisEntry·&vec2,
 55 ·40·BasisEntry·&res)
 56 ·41·{
 57 ·42·res.axpy(vec1,vec2);
 58 ·43·}
 59 ·44·};
 60 ·45
 61 ·46·template<·class·F·,·unsigned·int·bSize·>
 62 47·class·SparseCoeffMatrix
 63 ·48·{
59 ·41·public:64 ·49·public:
 65 50·typedef·F·Field;
 66 51·static·const·unsigned·int·blockSize·=·bSize;
 67 52·typedef·SparseCoeffMatrix<Field,blockSize>·This;
60 ·42·template·<class·Setter> 
61 43·LocalCoefficientsContainer·(·const·Setter·&setter·) 
62 ·44·{ 
63 ·45·setter.setLocalKeys(localKey_); 
64 ·46·} 
65 ·47 
66 48·const·LocalKey·&localKey·(·const·unsigned·int·i·)·const 
67 ·49·{ 
68 ·50·assert(·i·<·size()·); 
69 ·51·return·localKey_[·i·]; 
70 ·52·} 
71 ·5368 ·53
72 54·std::size_t·size·()·const 
73 ·55·{ 
74 ·56·return·localKey_.size();69 54·SparseCoeffMatrix()
 70 ·55·:·coeff_(0),
 71 ·56·rows_(0),
 72 ·57·skip_(0),
 73 ·58·numRows_(0),
 74 ·59·numCols_(0)
 75 ·60·{}
 76 ·61
 77 62·~SparseCoeffMatrix()
 78 ·63·{
 79 ·64·delete·[]·coeff_;
 80 ·65·delete·[]·rows_;
 81 ·66·delete·[]·skip_;
75 ·57·}82 ·67·}
 83 ·68
 84 69·unsigned·int·size·()·const
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9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·nedelec 
13 Classes·|·Namespaces 
14 nedelec1stkindcube.hh·File·Reference 
15 #include·<numeric> 
16 #include·<dune/common/fmatrix.hh>12 ····*·utility
 13 Classes·|·Namespaces·|·Enumerations·|·Functions
 14 tensor.hh·File·Reference
 15 #include·<ostream>
 16 #include·<vector>
17 #include·<dune/common/fvector.hh>17 #include·<dune/common/fvector.hh>
18 #include·<dune/common/math.hh> 
19 #include·<dune/geometry/referenceelements.hh> 
20 #include·<dune/geometry/type.hh> 
21 #include·<dune/localfunctions/common/localbasis.hh> 
22 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
23 #include·<dune/localfunctions/common/localinterpolation.hh> 
24 #include·<dune/localfunctions/common/localkey.hh>18 #include·<dune/localfunctions/utility/field.hh>
25 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
26 ·Classes20 ·Classes
27 class· Dune::Nedelec1stKindCubeLocalFiniteElement<_D,_R,_dim,_k_> 
28  ······Nédélec·elements·of·the·first·kind·for·cube·elements.·More...21 ·class· Dune::LFETensor<_F,_dimD,_deriv_>
 22  
 23 struct· Dune::LFETensor<_F,_0,_deriv_>
 24  
 25 struct· Dune::LFETensor<_F,_0,_0_>
 26  
 27 ·class· Dune::LFETensor<_F,_dimD,_0_>
 28  
 29 struct· Dune::Derivatives<_F,_dimD,_dimR,_deriv,_DerivativeLayoutNS::value_>
 30  
 31 struct· Dune::Derivatives<_F,_dimD,_dimR,_0,_DerivativeLayoutNS::value_>
 32  
 33 struct· Dune::Derivatives<_F,_dimD,_dimR,_deriv,_DerivativeLayoutNS::
 34 ·········derivative_>
 35  
 36 struct· Dune::LFETensorAxpy<_Vec1,_Vec2,_deriv_>
 37  
 38 struct· Dune::LFETensorAxpy<_Derivatives<_F1,_dimD,_dimR,_d,
 39 ·········DerivativeLayoutNS::value_>,_Vec2,_deriv_>
 40  
 41 struct· Dune::LFETensorAxpy<_Derivatives<_F1,_dimD,_dimR,_d,
 42 ·········DerivativeLayoutNS::derivative_>,_Vec2,_deriv_>
 43  
 44 struct· Dune::LFETensorAxpy<_Derivatives<_F1,_dimD,_1,_d,_DerivativeLayoutNS::
 45 ·········derivative_>,_Vec2,_deriv_>
 46  
 47 struct· Dune::LFETensorAxpy<_Derivatives<_F1,_dimD,_1,_d,_DerivativeLayoutNS::
 48 ·········value_>,_Vec2,_deriv_>
 49  
 50 struct· Dune::DerivativeAssign<_Vec1,_Vec2_>
 51  
 52 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_dimR,_deriv,_layout_>,
 53 ·········Derivatives<_F2,_dimD,_dimR,_deriv,_layout_>_>
 54  
 55 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_dimR,_deriv,
 56 ·········DerivativeLayoutNS::value_>,_Derivatives<_F2,_dimD,_dimR,_deriv,
 57 ·········DerivativeLayoutNS::derivative_>_>
 58  
 59 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_dimR,_deriv,
 60 ·········DerivativeLayoutNS::derivative_>,_Derivatives<_F2,_dimD,_dimR,_deriv,
 61 ·········DerivativeLayoutNS::value_>_>
 62  
 63 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,_layout_>,
 64 ·········Derivatives<_F2,_dimD,_dimR,_deriv,_DerivativeLayoutNS::value_>_>
 65  
 66 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,_layout_>,
 67 ·········Derivatives<_F2,_dimD,_dimR,_deriv,_DerivativeLayoutNS::derivative_>_>
 68  
 69 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,
 70 ·········DerivativeLayoutNS::value_>,_Derivatives<_F2,_dimD,_1,_deriv,
 71 ·········DerivativeLayoutNS::value_>_>
 72  
 73 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,
 74 ·········DerivativeLayoutNS::derivative_>,_Derivatives<_F2,_dimD,_1,_deriv,
 75 ·········DerivativeLayoutNS::derivative_>_>
 76  
 77 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,
 78 ·········DerivativeLayoutNS::derivative_>,_Derivatives<_F2,_dimD,_1,_deriv,
 79 ·········DerivativeLayoutNS::value_>_>
 80  
 81 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,
 82 ·········DerivativeLayoutNS::value_>,_Derivatives<_F2,_dimD,_1,_deriv,
 83 ·········DerivativeLayoutNS::derivative_>_>
 84  
 85 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,_layout_>,_F2
 86 ·········>
 87  
 88 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_dimR,_deriv,
 89 ·········DerivativeLayoutNS::value_>,_FieldVector<_F2,_dimR_>_>
 90  
 91 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_dimR,_deriv,
 92 ·········DerivativeLayoutNS::derivative_>,_FieldVector<_F2,_dimR_>_>
 93  
 94 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,
 95 ·········DerivativeLayoutNS::value_>,_FieldVector<_F2,_dimR_>_>
 96  
 97 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,
 98 ·········DerivativeLayoutNS::derivative_>,_FieldVector<_F2,_dimR_>_>
 99  
 100 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,
 101 ·········DerivativeLayoutNS::value_>,_FieldVector<_F2,_1_>_>
 102  
 103 struct· Dune::DerivativeAssign<_Derivatives<_F1,_dimD,_1,_deriv,
 104 ·········DerivativeLayoutNS::derivative_>,_FieldVector<_F2,_1_>_>
29  105  
30 ·Namespaces106 ·Namespaces
31 namespace· Dune107 namespace· Dune
32  108  
 109 namespace· Dune::DerivativeLayoutNS
 110  
 111 ·Enumerations
 112 enum· Dune::DerivativeLayoutNS::DerivativeLayout·{·Dune::DerivativeLayoutNS::
 113 ·······value·,·Dune::DerivativeLayoutNS::derivative·}
 114  
 115 ·Functions
 116 template<class·F·,·int·dimD,·unsigned·int·deriv>
 117 std::ostream·& Dune::operator<<·(std::ostream·&out,·const·LFETensor<·F,·dimD,
 118 ················deriv·>·&tensor)
 119  
 120 template<class·F·,·int·dimD,·int·dimR,·unsigned·int·deriv>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·nedelec 
13 nedelec1stkindcube.hh12 ····*·utility
 13 tensor.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDCUBE_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDCUBE_HH 
22 ·7 
23 ·8#include·<numeric> 
24 ·9 
25 ·10#include·<dune/common/fmatrix.hh>20 ·5
 21 ·6#ifndef·DUNE_TENSOR_HH
 22 ·7#define·DUNE_TENSOR_HH
 23 ·8
 24 ·9#include·<ostream>
 25 ·10#include·<vector>
 26 ·11
26 ·11#include·<dune/common/fvector.hh>27 ·12#include·<dune/common/fvector.hh>
27 ·12#include·<dune/common/math.hh> 
28 ·1328 ·13
 29 ·14#include·<dune/localfunctions/utility/field.hh>
 30 ·15
29 ·14#include·<dune/geometry/referenceelements.hh> 
30 ·15#include·<dune/geometry/type.hh> 
31 ·16 
32 ·17#include·<dune/localfunctions/common/localbasis.hh> 
33 ·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
34 ·19#include·<dune/localfunctions/common/localinterpolation.hh>·//·For 
35 deprecated·makeFunctionWithCallOperator 
36 ·20#include·<dune/localfunctions/common/localkey.hh> 
37 ·21 
38 ·22namespace·Dune31 ·16namespace·Dune
39 ·23{ 
40 ·24namespace·Impl 
41 ·25{ 
42 ·36·template<class·D,·class·R,·int·dim,·int·k> 
43 ·37·class·Nedelec1stKindCubeLocalBasis32 ·17{
 33 ·18·/***********************************************
 34 ·19·*·The·classes·here·are·work·in·progress.
 35 ·20·*·Basically·they·provide·tensor·structures·for
 36 ·21·*·higher·order·derivatives·of·vector·valued·function.
 37 ·22·*·Two·storage·structures·are·provided
 38 ·23·*·(either·based·on·the·components·of·the·vector·valued
 39 ·24·*·functions·or·on·the·order·of·the·derivative).
 40 ·25·*·Conversions·are·supplied·between·the·two·storage
 41 ·26·*·structures·and·simple·operations,·which·make·the
 42 ·27·*·code·difficult·to·use·and·requires·rewritting...
 43 ·28·***************************************************/
 44 ·29
 45 ·30·//·Structure·for·scalar·tensor·of·order·deriv
 46 ·31·template·<class·F,int·dimD,unsigned·int·deriv>
 47 32·class·LFETensor
44 ·38·{48 ·33·{
45 ·39·//·Number·of·edges·of·the·reference·cube 
46 ·40·constexpr·static·std::size_t·numberOfEdges·=·power(2,dim-1)*dim; 
47 ·4149 ·34·typedef·LFETensor<F,dimD,deriv>·This;
 50 ·35·typedef·LFETensor<F,dimD-1,deriv>·BaseDim;
 51 ·36·typedef·LFETensor<F,dimD,deriv-1>·BaseDeriv;
 52 ·37
48 ·42·public:53 ·38·public:
49 ·43·using·Traits·=·LocalBasisTraits<D,dim,FieldVector<D,dim>, 
50 ·44·R,dim,FieldVector<R,dim>, 
51 ·45·FieldMatrix<R,dim,dim>·>; 
52 ·46 
53 ·53·Nedelec1stKindCubeLocalBasis()54 39·typedef·F·field_type;
 55 40·static·const·unsigned·int·size·=·BaseDim::size+BaseDeriv::size;
 56 41·typedef·Dune::FieldVector<F,size>·Block;
 57 ·42
 58 ·43·template<·class·FF·>
 59 44·This·&operator=(·const·FF·&f·)
54 ·54·{60 ·45·{
55 ·55·std::fill(edgeOrientation_.begin(),·edgeOrientation_.end(),·1.0);61 ·46·block()·=·field_cast<·F·>(·f·);
 62 ·47·return·*this;
 63 ·48·}
 64 ·49
 65 50·This·&operator=(·const·Block·&b·)
 66 ·51·{
 67 ·52·block()·=·b;
 68 ·53·return·*this;
56 ·56·}69 ·54·}
 70 ·55
 71 56·This·&operator*=(·const·field_type·&f·)
57 ·5772 ·57·{
58 ·60·Nedelec1stKindCubeLocalBasis(std::bitset<numberOfEdges>·edgeOrientation) 
59 ·61·:·Nedelec1stKindCubeLocalBasis()73 ·58·block()·*=·f;
 74 ·59·return·*this;
 75 ·60·}
 76 ·61
 77 62·const·field_type·&operator[](·const·unsigned·int·i·)·const
60 ·62·{78 ·63·{
 79 ·64·return·block()[·i·];
61 ·63·for·(std::size_t·i=0;·i<edgeOrientation_.size();·i++) 
62 ·64·edgeOrientation_[i]·*=·edgeOrientation[i]·?·-1.0·:·1.0; 
63 ·65·}80 ·65·}
64 ·6681 ·66
65 ·68·static·constexpr·unsigned·int·size()82 67·field_type·&operator[](·const·unsigned·int·i·)
66 ·69·{83 ·68·{
67 ·70·static_assert(dim==2·||·dim==3,·"Nedelec·shape·functions·are·implemented 
68 only·for·2d·and·3d·cubes."); 
69 ·71·if·(dim==2) 
70 ·72·return·2*k·*·(k+1); 
71 ·73·if·(dim==3) 
72 ·74·return·3*k·*·(k+1)·*·(k+1);84 ·69·return·block()[·i·];
 85 ·70·}
 86 ·71
 87 72·Block·&block()
 88 ·73·{
 89 ·74·return·block_;
73 ·75·}90 ·75·}
74 ·76 
75 ·82·void·evaluateFunction(const·typename·Traits::DomainType&·in, 
76 ·83·std::vector<typename·Traits::RangeType>&·out)·const91 76·const·Block·&block()·const
 92 ·77·{
 93 ·78·return·block_;
 94 ·79·}
 95 80·void·axpy(const·F&·a,·const·This·&y)
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·nedelec12 ····*·utility
13 Classes·|·Namespaces13 Classes·|·Namespaces·|·Functions
 14 lfematrix.hh·File·Reference
 15 #include·<cassert>
 16 #include·<vector>
 17 #include·"field.hh"
14 nedelec1stkindsimplex.hh·File·Reference 
15 #include·<numeric> 
16 #include·<dune/common/fmatrix.hh> 
17 #include·<dune/common/fvector.hh> 
18 #include·<dune/geometry/referenceelements.hh> 
19 #include·<dune/geometry/type.hh> 
20 #include·<dune/localfunctions/common/localbasis.hh> 
21 #include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
22 #include·<dune/localfunctions/common/localinterpolation.hh> 
23 #include·<dune/localfunctions/common/localkey.hh> 
24 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
25 ·Classes19 ·Classes
 20 class· Dune::LFEMatrix<_F_>
26 class· Dune::Nedelec1stKindSimplexLocalFiniteElement<_D,_R,_dim,_k_> 
27  ······Nédélec·elements·of·the·first·kind·for·simplex·elements.·More... 
28  21  
29 ·Namespaces22 ·Namespaces
30 namespace· Dune23 namespace· Dune
31  24  
 25 ·Functions
 26 template<class·Field·>
 27 std::ostream·& Dune::operator<<·(std::ostream·&out,·const·LFEMatrix<·Field·>
 28 ················&mat)
 29  
  
32 ===============================================================================30 ===============================================================================
33 ·····Generated·by [doxygen]·1.9.831 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·nedelec 
13 nedelec1stkindsimplex.hh12 ····*·utility
 13 lfematrix.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDSIMPLEX_HH 
21 ·6#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDSIMPLEX_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_UTILITY_LFEMATRIX_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_UTILITY_LFEMATRIX_HH
22 ·722 ·7
23 ·8#include·<numeric>23 ·8#include·<cassert>
24 ·9 
25 ·10#include·<dune/common/fmatrix.hh> 
26 ·11#include·<dune/common/fvector.hh>24 ·9#include·<vector>
 25 ·10
 26 ·11#include·"field.hh"
27 ·1227 ·12
28 ·13#include·<dune/geometry/referenceelements.hh> 
29 ·14#include·<dune/geometry/type.hh>28 ·13namespace·Dune
 29 ·14{
30 ·1530 ·15
 31 ·16·template<·class·F·>
 32 17·class·LFEMatrix
31 ·16#include·<dune/localfunctions/common/localbasis.hh> 
32 ·17#include·<dune/localfunctions/common/localfiniteelementtraits.hh> 
33 ·18#include·<dune/localfunctions/common/localinterpolation.hh>·//·For 
34 deprecated·makeFunctionWithCallOperator 
35 ·19#include·<dune/localfunctions/common/localkey.hh> 
36 ·20 
37 ·21namespace·Dune 
38 ·22{ 
39 ·23namespace·Impl 
40 ·24{ 
41 ·35·template<class·D,·class·R,·int·dim,·int·k> 
42 ·36·class·Nedelec1stKindSimplexLocalBasis 
43 ·37·{ 
44 ·38·//·Number·of·edges·of·the·reference·simplex 
45 ·39·constexpr·static·std::size_t·numberOfEdges·=·dim*(dim+1)/2; 
46 ·40 
47 ·41·public: 
48 ·42·using·Traits·=·LocalBasisTraits<D,dim,FieldVector<D,dim>, 
49 ·43·R,dim,FieldVector<R,dim>, 
50 ·44·FieldMatrix<R,dim,dim>·>; 
51 ·45 
52 ·52·Nedelec1stKindSimplexLocalBasis() 
53 ·53·{ 
54 ·54·std::fill(edgeOrientation_.begin(),·edgeOrientation_.end(),·1.0); 
55 ·55·} 
56 ·56 
57 ·59·Nedelec1stKindSimplexLocalBasis(std::bitset<numberOfEdges>·edgeOrientation) 
58 ·60·:·Nedelec1stKindSimplexLocalBasis() 
59 ·61·{ 
60 ·62·for·(std::size_t·i=0;·i<edgeOrientation_.size();·i++) 
61 ·63·edgeOrientation_[i]·*=·edgeOrientation[i]·?·-1.0·:·1.0; 
62 ·64·} 
63 ·65 
64 ·67·static·constexpr·unsigned·int·size() 
65 ·68·{ 
66 ·69·static_assert(dim==2·||·dim==3,·"Nedelec·shape·functions·are·implemented 
67 only·for·2d·and·3d·simplices."); 
68 ·70·if·(dim==2) 
69 ·71·return·k·*·(k+2); 
70 ·72·if·(dim==3) 
71 ·73·return·k·*·(k+2)·*·(k+3)·/·2; 
72 ·74·} 
73 ·75 
74 ·81·void·evaluateFunction(const·typename·Traits::DomainType&·in, 
75 ·82·std::vector<typename·Traits::RangeType>&·out)·const 
76 ·83·{ 
77 ·84·static_assert(k==1,·"Evaluating·Nédélec·shape·functions·is·implemented·only 
78 for·first·order."); 
79 ·85·out.resize(size()); 
80 ·86 
81 ·87·if·(dim==2) 
82 ·88·{ 
83 ·89·//·First-order·Nédélec·shape·functions·on·a·triangle·are·of·the·form 
84 ·90·// 
85 ·91·//·(a1,·a2)·+·b(-x2,·x1)^T,·a_1,·a_2,·b·\in·R 
86 ·92·out[0]·=·{D(1)·-·in[1],·in[0]}; 
87 ·93·out[1]·=·{in[1],·-in[0]+D(1)}; 
88 ·94·out[2]·=·{-in[1],·in[0]}; 
89 ·95·} 
90 ·96 
91 ·97·if·constexpr·(dim==3) 
92 ·98·{ 
93 ·99·//·First-order·Nédélec·shape·functions·on·a·tetrahedron·are·of·the·form 
94 ·100·// 
95 ·101·//·a·+·b·\times·x,·a,·b·\in·R^3 
96 ·102·// 
97 ·103·//·The·following·coefficients·create·the·six·basis·vectors 
98 ·104·//·that·are·dual·to·the·edge·degrees·of·freedom: 
99 ·105·// 
100 ·106·//·a[0]·=·{·1,·0,·0}·b[0]·=·{·0,·-1,·1} 
101 ·107·//·a[1]·=·{·0,·1,·0}·b[1]·=·{·1,·0,·-1} 
102 ·108·//·a[2]·=·{·0,·0,·0}·b[2]·=·{·0,·0,·1} 
103 ·109·//·a[3]·=·{·0,·0,·1}·b[3]·=·{-1,·1,·0} 
104 ·110·//·a[4]·=·{·0,·0,·0}·b[4]·=·{·0,·-1,·0} 
105 ·111·//·a[5]·=·{·0,·0,·0}·b[5]·=·{·1,·0,·0} 
106 ·112·// 
107 ·113·//·The·following·implementation·uses·these·values,·and·simply 
108 ·114·//·skips·all·the·zeros. 
109 ·115 
110 ·116·out[0]·=·{·1·-·in[1]·-·in[2],·in[0]·,·in[0]·}; 
111 ·117·out[1]·=·{·in[1]·,·1·-·in[0]·-·in[2],·in[1]}; 
112 ·118·out[2]·=·{·-·in[1]·,·in[0]·,·0·}; 
113 ·119·out[3]·=·{·in[2],·in[2],·1·-·in[0]·-·in[1]}; 
114 ·120·out[4]·=·{·-in[2],·0·,·in[0]·}; 
115 ·121·out[5]·=·{·0·,·-in[2],·in[1]}; 
116 ·122·} 
117 ·123 
118 ·124·for·(std::size_t·i=0;·i<out.size();·i++) 
119 ·125·out[i]·*=·edgeOrientation_[i]; 
120 ·126·} 
121 ·127 
122 ·133·void·evaluateJacobian(const·typename·Traits::DomainType&·in, 
123 ·134·std::vector<typename·Traits::JacobianType>&·out)·const 
124 ·135·{ 
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19 *****·Detailed·Description·***** 
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12 hierarchical.hh12 ····*·utility
 13 defaultbasisfactory.hh
13 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
17 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
19 ·9#include·<dune/localfunctions/hierarchical/hierarchicalp2.hh> 
20 ·10#include·<dune/localfunctions/hierarchical/ 
21 hierarchicalp2withelementbubble.hh> 
22 ·11#include·<dune/localfunctions/hierarchical/hierarchicalprismp2.hh> 
23 hierarchicalp2.hh 
24 hierarchicalprismp2.hh 
25 hierarchicalp2withelementbubble.hh20 ·5#ifndef·DUNE_DEFAULTBASISFACTORY_HH
 21 ·6#define·DUNE_DEFAULTBASISFACTORY_HH
 22 ·7
 23 ·8#include·<fstream>
 24 ·9#include·<dune/common/exceptions.hh>
 25 ·10
 26 ·11#include·<dune/localfunctions/utility/basismatrix.hh>
 27 ·12
 28 ·13namespace·Dune
 29 ·14{
 30 15·struct·Identity
 31 ·16·{
 32 ·17·template·<class·T>
 33 18·static·T·apply(·const·T·&t·)
 34 ·19·{
 35 ·20·return·t;
 36 ·21·}
 37 ·22·};
 38 ·23·/************************************************
 39 ·24·*·Class·for·providing·a·factory·for·basis
 40 ·25·*·functions·over·the·set·of·reference·elements.
 41 ·26·*·Is·based·on·the·TopologyFactory·but·additionally
 42 ·27·*·provides·rebindes·of·the·field·type.
 43 ·28·*·The·user·provides·factories·for·the·pre·basis·and·the
 44 ·29·*·interpolations.·The·default·construction·process·of
 45 ·30·*·the·basis·is·performed·in·this·class.
 46 ·31·************************************************/
 47 ·32·template<·class·PreBFactory,
 48 ·33·class·InterpolFactory,
 49 ·34·unsigned·int·dim,·unsigned·int·dimR,
 50 ·35·class·SF,·class·CF,
 51 ·36·class·PreBasisKeyExtractor·=·Identity·>
 52 37·struct·DefaultBasisFactory
 53 ·38·{
 54 39·static·const·unsigned·int·dimension·=·dim;
 55 40·static·const·unsigned·int·dimRange·=·dimR;
 56 41·typedef·SF·StorageField;
 57 42·typedef·CF·ComputeField;
 58 43·typedef·PreBFactory·PreBasisFactory;
 59 44·typedef·typename·PreBasisFactory::Object·PreBasis;
 60 45·typedef·InterpolFactory·InterpolationFactory;
 61 46·typedef·typename·InterpolationFactory::Object·Interpolation;
 62 47·typedef·typename·PreBasisFactory::template·EvaluationBasisFactory<dim,SF>::
 63 Type·MonomialBasisFactory;
 64 48·typedef·typename·MonomialBasisFactory::Object·MonomialBasis;
 65 49·typedef·StandardEvaluator<_MonomialBasis_>·Evaluator;
 66 50·typedef·PolynomialBasisWithMatrix<_Evaluator,_SparseCoeffMatrix<_SF,
 67 dimRange_>·>·Basis;
 68 ·51
 69 52·typedef·const·Basis·Object;
 70 53·typedef·typename·InterpolationFactory::Key·Key;
 71 ·54·template·<unsigned·int·dd,·class·FF>
 72 55·struct·EvaluationBasisFactory
 73 ·56·{
 74 ·57·typedef·typename·PreBasisFactory::template·EvaluationBasisFactory<dd,FF>::
 75 Type
 76 58·Type;
 77 ·59·};
 78 ·60
 79 ·61·template<·GeometryType::Id·geometryId·>
 80 62·static·Object·*create·(·const·Key·&key·)
 81 ·63·{
 82 ·64·const·typename·PreBasisFactory::Key·preBasisKey·=·PreBasisKeyExtractor::
 83 apply(key);
 84 ·65·const·PreBasis·*preBasis·=·PreBasisFactory::template·create<geometryId>
 85 (·preBasisKey·);
 86 ·66·const·Interpolation·*interpol·=·InterpolationFactory::template
 87 create<geometryId>(·key·);
 88 ·67·BasisMatrix<_PreBasis,_Interpolation,_ComputeField_>·matrix(·*preBasis,
 89 *interpol·);
 90 ·68
 91 ·69·const·MonomialBasis·*monomialBasis·=·MonomialBasisFactory::template·create<
 92 geometryId·>(·preBasis->order()·);
 93 ·70
 94 ·71·Basis·*basis·=·new·Basis(·*monomialBasis·);
 95 ·72
 96 ·73·basis->fill(·matrix·);
 97 ·74
 98 ·75·InterpolationFactory::release(interpol);
 99 ·76·PreBasisFactory::release(preBasis);
 100 ·77
 101 ·78·return·basis;
 102 ·79·}
 103 81·static·void·release(·Object·*object)
 104 ·82·{
 105 ·83·const·MonomialBasis·*monomialBasis·=·&(object->basis());
 106 ·84·delete·object;
 107 ·85·MonomialBasisFactory::release(·monomialBasis·);
 108 ·86·}
 109 ·87·};
 110 ·88}
 111 ·89
 112 ·90#endif·//·#ifndef·DUNE_DEFAULTBASISFACTORY_HH
 113 basismatrix.hh
 114 Dune
 115 Definition·bdfmcube.hh:18
 116 Dune::StandardEvaluator
 117 Definition·basisevaluator.hh:131
 118 Dune::BasisMatrix
 119 Definition·basismatrix.hh:27
 120 Dune::Identity
 121 Definition·defaultbasisfactory.hh:16
 122 Dune::Identity::apply
 123 static·T·apply(const·T·&t)
 124 Definition·defaultbasisfactory.hh:18
 125 Dune::DefaultBasisFactory
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 15 #include·<vector>
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 17 #include·<dune/common/concept.hh>
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 19 #include·<dune/localfunctions/common/localinterpolation.hh>
17 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
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19 struct· Dune::RannacherTurekLocalBasis<_D,_R,_2_>22 struct· Dune::InterpolationHelper<_F,_dimension_>
20  23  
21 struct· Dune::RannacherTurekLocalBasis<_D,_R,_3_>24 struct· Dune::InterpolationHelper<_F,_dimension_>::Helper<_Func,_Vector,_true
 25 ·········>
 26  
 27 struct· Dune::InterpolationHelper<_F,_dimension_>::Helper<_Basis,_Matrix,
 28 ·········false_>
22  29  
23 ·Namespaces30 ·Namespaces
24 namespace· Dune31 namespace· Dune
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13 rannachertureklocalbasis.hh12 ····*·utility
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14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
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20 ·5#ifndef·DUNE_RANNACHER_TUREK_LOCALBASIS_HH 
21 ·6#define·DUNE_RANNACHER_TUREK_LOCALBASIS_HH20 ·5#ifndef·GENERIC_INTERPOLATIONHELPER_HH
 21 ·6#define·GENERIC_INTERPOLATIONHELPER_HH
22 ·722 ·7
23 ·8#include·"rannacherturek2d/rannacherturek2dlocalbasis.hh" 
24 ·9#include·"rannacherturek3d/rannacherturek3dlocalbasis.hh" 
25 ·1023 ·8#include·<vector>
 24 ·9
 25 ·10#include·<dune/common/fvector.hh>
 26 ·11#include·<dune/common/concept.hh>
 27 ·12#include·<dune/localfunctions/utility/field.hh>
 28 ·13#include·<dune/localfunctions/common/localinterpolation.hh>
 29 ·14
26 ·11namespace·Dune30 ·15namespace·Dune
27 ·12{31 ·16{
28 ·1332 ·17·//·A·small·helper·class·to·avoid·having·to
 33 ·18·//·write·the·interpolation·twice·(once·for·function
 34 ·19·//·and·once·for·a·basis)
 35 ·20·template<·class·F,·unsigned·int·dimension·>
 36 21·struct·InterpolationHelper
 37 ·22·{
 38 ·23·template·<class·Func,class·Container,·bool·type>
 39 24·struct·Helper;
 40 ·25·};
29 ·23·template<·class·D,·class·R,·unsigned·int·d·>41 ·26·template·<class·F,unsigned·int·d>
 42 ·27·template·<class·Func,class·Vector>
 43 28·struct·InterpolationHelper<F,d>::Helper<Func,Vector,true>
 44 ·29·//·Func·is·of·Function·type
30 24·struct·RannacherTurekLocalBasis; 
31 ·25 
32 ·26·template<·class·D,·class·R·> 
33 27·struct·RannacherTurekLocalBasis<·D,·R,·2·> 
34 ·28·:·public·RannacherTurek2DLocalBasis<·D,·R·> 
35 ·29·{}; 
36 ·3045 ·30·{
37 ·31·template<·class·D,·class·R·> 
38 32·struct·RannacherTurekLocalBasis<·D,·R,·3·> 
39 ·33·:·public·RannacherTurek3DLocalBasis<·D,·R·>46 31·typedef·std::vector<·Dune::FieldVector<F,d>·>·Result;
 47 32·Helper(const·Func·&·func,·Vector·&vec)
 48 ·33·:·func_(func),
 49 ·34·vec_(vec),
 50 ·35·tmp_(1)
40 ·34·{};51 ·36·{}
41 ·35 
42 ·36}·//·namespace·Dune 
43 ·37 
44 ·38#endif·//·#ifndef·DUNE_RANNACHER_TUREK_LOCALBASIS_HH 
45 rannacherturek3dlocalbasis.hh 
46 rannacherturek2dlocalbasis.hh52 37·const·typename·Vector::value_type·&operator()(unsigned·int·row,unsigned·int
 53 col)
 54 ·38·{
 55 ·39·return·vec_[row];
 56 ·40·}
 57 ·41·template·<class·Fy>
 58 42·void·set(unsigned·int·row,unsigned·int·col,
 59 ·43·const·Fy·&val)
 60 ·44·{
 61 ·45·assert(col==0);
 62 ·46·assert(row<vec_.size());
 63 ·47·field_cast(·val,·vec_[row]·);
 64 ·48·}
 65 ·49·template·<class·Fy>
 66 50·void·add(unsigned·int·row,unsigned·int·col,
 67 ·51·const·Fy·&val)
 68 ·52·{
 69 ·53·assert(col==0);
 70 ·54·assert(row<vec_.size());
 71 ·55·vec_[row]·+=·field_cast<typename·Vector::value_type>(val);
 72 ·56·}
 73 ·57·template·<class·DomainVector,
 74 ·58·std::enable_if_t<models<Impl::FunctionWithCallOperator<DomainVector>,·Func>
 75 (),·int>·=·0>
 76 59·const·Result·&evaluate(const·DomainVector·&x)·const
 77 ·60·{
 78 ·61·field_cast(func_(x),·tmp_[0]·);
 79 ·62·return·tmp_;
 80 ·63·}
 81 ·64·template·<class·DomainVector,
 82 ·65·std::enable_if_t<not·models<Impl::FunctionWithCallOperator<DomainVector>,
 83 Func>(),·int>·=·0>
 84 66·const·Result·&evaluate(const·DomainVector·&x)·const
 85 ·67·{
 86 ·68·typename·Func::DomainType·xx·;
 87 ·69·typename·Func::RangeType·ff·;
 88 ·70·field_cast(x,xx);
 89 ·71·func_.evaluate(xx,ff);
 90 ·72·field_cast(ff,·tmp_[0]·);
 91 ·73·return·tmp_;
 92 ·74·}
 93 75·unsigned·int·size()·const
 94 ·76·{
 95 ·77·return·1;
 96 ·78·}
 97 79·const·Func·&func_;
 98 80·Vector·&vec_;
 99 81·mutable·Result·tmp_;
 100 ·82·};
 101 ·83·template·<class·F,unsigned·int·d>
 102 ·84·template·<class·Basis,class·Matrix>
 103 85·struct·InterpolationHelper<F,d>::Helper<Basis,Matrix,false>
 104 ·86·//·Func·is·of·Basis·type
 105 ·87·{
 106 88·typedef·std::vector<·Dune::FieldVector<F,d>·>·Result;
 107 89·Helper(const·Basis·&·basis,·Matrix·&matrix)
 108 ·90·:·basis_(basis),
 109 ·91·matrix_(matrix),
 110 ·92·tmp_(basis.size())·{}
 111 93·const·F·&operator()(unsigned·int·row,unsigned·int·col)·const
 112 ·94·{
 113 ·95·return·matrix_(row,col);
 114 ·96·}
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12 ····*·rannacherturek12 ····*·utility
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 14 l2interpolation.hh·File·Reference
 15 #include·<dune/common/concept.hh>
 16 #include·<dune/geometry/quadraturerules.hh>
14 rannachertureklocalcoefficients.hh·File·Reference 
15 #include·<algorithm> 
16 #include·<array> 
17 #include·<cassert> 
18 #include·<cstddef> 
19 #include·<dune/localfunctions/common/localkey.hh>17 #include·<dune/localfunctions/common/localinterpolation.hh>
 18 #include·<dune/localfunctions/utility/lfematrix.hh>
20 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
21 ·Classes20 ·Classes
22 struct· Dune::RannacherTurekLocalCoefficients<_d_> 
23  ·······layout·for·Rannacher-Turek·elements·More...21 ·class· Dune::LocalL2InterpolationBase<_B,_Q_>
 22  
 23 struct· Dune::LocalL2Interpolation<_B,_Q,_true_>
 24  
 25 struct· Dune::LocalL2Interpolation<_B,_Q,_false_>
 26  
 27 struct· Dune::LocalL2InterpolationFactory<_BasisFactory,_onb_>
 28  ·······A·factory·class·for·the·local·l2·interpolations·taking·a·basis
 29 ·········factory.·More...
24  30  
25 ·Namespaces31 ·Namespaces
26 namespace· Dune32 namespace· Dune
27  33  
  
28 ===============================================================================34 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.835 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·rannacherturek 
13 rannachertureklocalcoefficients.hh12 ····*·utility
 13 l2interpolation.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_RANNACHER_TUREK_LOCALCOEFFICIENTS_HH 
21 ·6#define·DUNE_RANNACHER_TUREK_LOCALCOEFFICIENTS_HH20 ·5#ifndef·DUNE_L2INTERPOLATION_HH
 21 ·6#define·DUNE_L2INTERPOLATION_HH
22 ·722 ·7
 23 ·8#include·<dune/common/concept.hh>
 24 ·9
 25 ·10#include·<dune/geometry/quadraturerules.hh>
 26 ·11
23 ·8#include·<algorithm> 
24 ·9#include·<array> 
25 ·10#include·<cassert> 
26 ·11#include·<cstddef> 
27 ·12 
28 ·13#include·<dune/localfunctions/common/localkey.hh>27 ·12#include·<dune/localfunctions/common/localinterpolation.hh>
 28 ·13#include·<dune/localfunctions/utility/lfematrix.hh>
29 ·1429 ·14
30 ·15namespace·Dune30 ·15namespace·Dune
31 ·16{31 ·16{
 32 ·32·template<·class·B,·class·Q,·bool·onb·>
 33 33·struct·LocalL2Interpolation;
 34 ·34
 35 ·35·template<·class·B,·class·Q·>
 36 36·class·LocalL2InterpolationBase
32 ·24·template<·unsigned·int·d·> 
33 25·struct·RannacherTurekLocalCoefficients 
34 ·26·{ 
35 27·RannacherTurekLocalCoefficients·() 
36 ·28·{ 
37 ·29·for(·std::size_t·i·=·0;·i·<·2*d;·++i·) 
38 ·30·localKeys_[·i·]·=·LocalKey(·i,·1,·0·); 
39 ·31·} 
40 ·32 
41 33·RannacherTurekLocalCoefficients·(·const·RannacherTurekLocalCoefficients 
42 &other·) 
43 ·34·{37 ·37·{
 38 ·38·typedef·LocalL2InterpolationBase<_B,_Q_>·This;
44 ·35·(*this)·=·other; 
45 ·36·} 
46 ·37 
47 38·RannacherTurekLocalCoefficients·&operator=(·const 
48 RannacherTurekLocalCoefficients·&other·) 
49 ·39·{39 ·39
 40 ·40·public:
 41 41·typedef·B·Basis;
 42 42·typedef·Q·Quadrature;
50 ·40·std::copy(·other.localKeys_.begin(),·other.localKeys_.end(), 
51 localKeys_.begin()·); 
52 ·41·return·*this; 
53 ·42·} 
54 ·4343 ·43
55 45·std::size_t·size·()·const44 44·static·const·unsigned·int·dimension·=·Basis::dimension;
 45 ·45
 46 ·47·template<·class·Function,·class·DofField,·std::enable_if_t<models<Impl::
 47 FunctionWithEvaluate<typename·Function::DomainType,·typename·Function::
 48 RangeType>,·Function>(),·int>·=·0·>
 49 48·void·interpolate·(·const·Function·&function,·std::vector<·DofField·>
 50 &coefficients·)·const
56 ·46·{51 ·49·{
 52 ·50·typedef·typename·Quadrature::iterator·Iterator;
 53 ·51·typedef·FieldVector<·DofField,·Basis::dimRange·>·RangeVector;
57 ·47·return·2*d; 
58 ·48·} 
59 ·49 
60 51·const·LocalKey·&localKey·(·std::size_t·i·)·const 
61 ·52·{54 ·52
62 ·53·assert(·i·<·2*d·); 
63 ·54·return·localKeys_[·i·];55 ·53·const·unsigned·int·size·=·basis().size();
 56 ·54·static·std::vector<·RangeVector·>·basisValues(·size·);
64 ·55·}57 ·55
65 ·56 
66 ·57·private: 
67 ·58·std::array<·LocalKey,·2*d·>·localKeys_; 
68 ·59·};58 ·56·coefficients.resize(·size·);
 59 ·57·basisValues.resize(·size·);
 60 ·58·for(·unsigned·int·i·=·0;·i·<·size;·++i·)
 61 ·59·coefficients[·i·]·=·Zero<_DofField_>();
69 ·6062 ·60
70 ·61}·//·namespace·Dune 
71 ·62 
72 ·63#endif·//·#ifndef·DUNE_RANNACHER_TUREK_LOCALCOEFFICIENTS_HH 
73 localkey.hh63 ·61·const·Iterator·end·=·quadrature().end();
 64 ·62·for(·Iterator·it·=·quadrature().begin();·it·!=·end;·++it·)
 65 ·63·{
 66 ·64·basis().evaluate(·it->position(),·basisValues·);
 67 ·65·typename·Function::RangeType·val;
 68 ·66·function.evaluate(·field_cast<typename·Function::DomainType::field_type>
 69 (it->position()),·val·);
 70 ·67·RangeVector·factor·=·field_cast<·DofField·>(·val·);
 71 ·68·factor·*=·field_cast<·DofField·>(·it->weight()·);
 72 ·69·for(·unsigned·int·i·=·0;·i·<·size;·++i·)
 73 ·70·coefficients[·i·]·+=·factor·*·basisValues[·i·];
 74 ·71·}
 75 ·72·}
 76 ·73
 77 ·75·template<·class·Function,·class·DofField,·std::enable_if_t<models<Impl::
 78 FunctionWithCallOperator<typename·Quadrature::value_type::Vector>,·Function>(),
 79 int>·=·0·>
 80 76·void·interpolate·(·const·Function·&function,·std::vector<·DofField·>
 81 &coefficients·)·const
 82 ·77·{
 83 ·78·typedef·FieldVector<·DofField,·Basis::dimRange·>·RangeVector;
 84 ·79
 85 ·80·const·unsigned·int·size·=·basis().size();
 86 ·81·static·std::vector<·RangeVector·>·basisValues(·size·);
 87 ·82
 88 ·83·coefficients.resize(·size·);
 89 ·84·basisValues.resize(·size·);
 90 ·85·for(·unsigned·int·i·=·0;·i·<·size;·++i·)
 91 ·86·coefficients[·i·]·=·Zero<_DofField_>();
 92 ·87
 93 ·88·for·(auto&&·qp·:·quadrature())
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8 <title>dune-localfunctions:·rannacherturek3dlocalbasis.hh·File·Reference</title>8 <title>dune-localfunctions:·polynomialbasis.hh·File·Reference</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·utility
12 ····*·rannacherturek 
13 ····*·rannacherturek3d 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 rannacherturek3dlocalbasis.hh·File·Reference14 polynomialbasis.hh·File·Reference
 15 #include·<fstream>
16 #include·<numeric>16 #include·<numeric>
17 #include·<vector> 
18 #include·<dune/common/fvector.hh> 
19 #include·<dune/common/fmatrix.hh>17 #include·<dune/common/fmatrix.hh>
20 #include·<dune/localfunctions/common/localbasis.hh>18 #include·<dune/localfunctions/common/localbasis.hh>
 19 #include·<dune/localfunctions/utility/coeffmatrix.hh>
 20 #include·<dune/localfunctions/utility/monomialbasis.hh>
 21 #include·<dune/localfunctions/utility/multiindex.hh>
 22 #include·<dune/localfunctions/utility/basisevaluator.hh>
21 Go_to_the_source_code_of_this_file.23 Go_to_the_source_code_of_this_file.
22 ·Classes24 ·Classes
23 class· Dune::RannacherTurek3DLocalBasis<_D,_R_>25 ·class· Dune::PolynomialBasis<_Eval,_CM,_D,_R_>
 26  
 27 struct· Dune::PolynomialBasis<_Eval,_CM,_D,_R_>::Convert<_dummy,_DVector_>
 28  
 29 struct· Dune::PolynomialBasis<_Eval,_CM,_D,_R_>::Convert<_dummy,_DomainVector
 30 ·········>
 31  
 32 ·class· Dune::PolynomialBasisWithMatrix<_Eval,_CM,_D,_R_>
24  33  
25 ·Namespaces34 ·Namespaces
26 namespace· Dune35 namespace· Dune
27  36  
  
28 ===============================================================================37 ===============================================================================
29 ·····Generated·by [doxygen]·1.9.838 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·rannacherturek3dlocalbasis.hh·Source·File</title>8 <title>dune-localfunctions:·polynomialbasis.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·utility
 13 polynomialbasis.hh
12 ····*·rannacherturek 
13 ····*·rannacherturek3d 
14 rannacherturek3dlocalbasis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5#ifndef·DUNE_RANNACHER_TUREK_3D_LOCALBASIS_HH 
22 ·6#define·DUNE_RANNACHER_TUREK_3D_LOCALBASIS_HH20 ·5#ifndef·DUNE_POLYNOMIALBASIS_HH
 21 ·6#define·DUNE_POLYNOMIALBASIS_HH
23 ·722 ·7
 23 ·8#include·<fstream>
24 ·8#include·<numeric>24 ·9#include·<numeric>
25 ·9#include·<vector> 
26 ·1025 ·10
27 ·11#include·<dune/common/fvector.hh> 
28 ·12#include·<dune/common/fmatrix.hh>26 ·11#include·<dune/common/fmatrix.hh>
29 ·1327 ·12
30 ·14#include·<dune/localfunctions/common/localbasis.hh>28 ·13#include·<dune/localfunctions/common/localbasis.hh>
31 ·1529 ·14
 30 ·15#include·<dune/localfunctions/utility/coeffmatrix.hh>
 31 ·16#include·<dune/localfunctions/utility/monomialbasis.hh>
 32 ·17#include·<dune/localfunctions/utility/multiindex.hh>
 33 ·18#include·<dune/localfunctions/utility/basisevaluator.hh>
 34 ·19
32 ·16namespace·Dune35 ·20namespace·Dune
33 ·17{ 
34 ·18 
35 ·19·template<·class·D,·class·R·> 
36 20·class·RannacherTurek3DLocalBasis 
37 ·21·{36 ·21{
38 ·22·static·const·int·coefficients[·6·][·6·]; 
39 ·2337 ·22
 38 ·23·//·PolynomialBasis
 39 ·24·//·---------------
 40 ·25
 41 ·63·template<·class·Eval,·class·CM,·class·D=double,·class·R=double·>
 42 64·class·PolynomialBasis
 43 ·65·{
 44 ·66·typedef·PolynomialBasis<_Eval,_CM_>·This;
 45 ·67·typedef·Eval·Evaluator;
 46 ·68
40 ·24·public:47 ·69·public:
 48 70·typedef·CM·CoefficientMatrix;
 49 ·71
 50 72·typedef·typename·CoefficientMatrix::Field·StorageField;
 51 ·73
 52 74·static·const·unsigned·int·dimension·=·Evaluator::dimension;
 53 75·static·const·unsigned·int·dimRange·=·Evaluator::dimRange*CoefficientMatrix::
 54 blockSize;
41 ·25·typedef·LocalBasisTraits<_D,_3,_FieldVector<_D,_3_>,55 ·76·typedef·LocalBasisTraits<D,dimension,FieldVector<D,dimension>,
42 ·26·R,·1,·FieldVector<·R,·1·>, 
43 27·FieldMatrix<·R,·1,·3·>·>·Traits; 
44 ·28 
45 30·unsigned·int·size·()·const56 ·77·R,dimRange,FieldVector<R,dimRange>,
 57 78·FieldMatrix<R,dimRange,dimension>·>·Traits;
 58 79·typedef·typename·Evaluator::Basis·Basis;
 59 80·typedef·typename·Evaluator::DomainVector·DomainVector;
 60 ·81·template·<class·Fy>
 61 82·using·HessianFyType·=
 62 FieldVector<FieldMatrix<Fy,dimension,dimension>,dimRange>;
 63 83·using·HessianType·=·HessianFyType<R>;
 64 ·84
 65 85·PolynomialBasis·(const·Basis·&basis,
 66 ·86·const·CoefficientMatrix·&coeffMatrix,
 67 ·87·unsigned·int·size)
 68 ·88·:·basis_(basis),
 69 ·89·coeffMatrix_(&coeffMatrix),
 70 ·90·eval_(basis),
 71 ·91·order_(basis.order()),
 72 ·92·size_(size)
46 ·31·{73 ·93·{
 74 ·94·//·assert(coeffMatrix_);
 75 ·95·//·assert(size_·<=·coeffMatrix.size());·//·!!!
47 ·32·return·6; 
48 ·33·} 
49 ·34 
50 36·inline·void·evaluateFunction·(·const·typename·Traits::DomainType·&in, 
51 ·37·std::vector<·typename·Traits::RangeType·>·&out·)·const 
52 ·38·{ 
53 ·39·typedef·typename·Traits::RangeFieldType·RangeFieldType; 
54 ·40·RangeFieldType·y[·6·]·=·{·1,·in[·0·],·in[·1·],·in[·2·], 
55 ·41·in[·0·]*in[·0·]·-·in[·1·]*in[·1·], 
56 ·42·in[·1·]*in[·1·]·-·in[·2·]*in[·2·]·}; 
57 ·43·out.resize(·size()·); 
58 ·44·for(·unsigned·int·i·=·0;·i·<·size();·++i·) 
59 ·45·{ 
60 ·46·out[·i·]·=·RangeFieldType(·0·); 
61 ·47·for(·unsigned·int·j·=·0;·j·<·6;·++j·) 
62 ·48·out[·i·]·+=·coefficients[·i·][·j·]*y[·j·]; 
63 ·49·out[·i·]·/=·RangeFieldType(·3·); 
64 ·50·} 
65 ·51·} 
66 ·52 
67 54·inline·void·evaluateJacobian·(·const·typename·Traits::DomainType·&in, 
68 ·55·std::vector<·typename·Traits::JacobianType·>·&out·)·const 
69 ·56·{ 
70 ·57·typedef·typename·Traits::RangeFieldType·RangeFieldType; 
71 ·58·RangeFieldType·y0[·5·]·=·{·1,·0,·0,·2*in[·0·],·0·}; 
72 ·59·RangeFieldType·y1[·5·]·=·{·0,·1,·0,·-2*in[·1·],·2*in[·1·]·}; 
73 ·60·RangeFieldType·y2[·5·]·=·{·0,·0,·1,·0,·-2*in[·2·]·}; 
74 ·61 
75 ·62·out.resize(·size()·); 
76 ·63·for(·unsigned·int·i·=·0;·i·<·size();·++i·) 
77 ·64·{ 
78 ·65·out[·i·]·=·RangeFieldType(·0·); 
79 ·66·for(·unsigned·int·j·=·0;·j·<·5;·++j·) 
80 ·67·{ 
81 ·68·out[·i·][·0·][·0·]·+=·coefficients[·i·][·j+1·]*y0[·j·]; 
82 ·69·out[·i·][·0·][·1·]·+=·coefficients[·i·][·j+1·]*y1[·j·]; 
83 ·70·out[·i·][·0·][·2·]·+=·coefficients[·i·][·j+1·]*y2[·j·]; 
84 ·71·} 
85 ·72·out[·i·]·/=·RangeFieldType(·3·); 
86 ·73·} 
87 ·74·} 
88 ·75 
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18 #include·<dune/geometry/referenceelements.hh> 
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21 Go_to_the_source_code_of_this_file.18 Go_to_the_source_code_of_this_file.
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23 class· Dune::RannacherTurekLocalInterpolation<_D,_R,_d_> 
24  ······please·doc·me·More...20 ·class· Dune::DGLocalCoefficients
 21  ·······A·class·providing·local·coefficients·for·dg·spaces.·More...
 22  
 23 struct· Dune::DGLocalCoefficientsFactory<_BasisFactory_>
 24  ·······A·factory·class·for·the·dg·local·coefficients.·More...
25  25  
26 ·Namespaces26 ·Namespaces
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13 rannachertureklocalinterpolation.hh12 ····*·utility
 13 dglocalcoefficients.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_RANNACHER_TUREK_LOCALINTERPOLATION_HH 
21 ·6#define·DUNE_RANNACHER_TUREK_LOCALINTERPOLATION_HH20 ·5#ifndef·DUNE_DGLOCALCOEFFICIENTS_HH
 21 ·6#define·DUNE_DGLOCALCOEFFICIENTS_HH
22 ·722 ·7
23 ·8#include·<cassert>23 ·8#include·<cassert>
24 ·9#include·<vector>24 ·9#include·<vector>
25 ·1025 ·10
26 ·11#include·<dune/common/fvector.hh>26 ·11#include·<dune/localfunctions/common/localkey.hh>
27 ·1227 ·12
28 ·13#include·<dune/geometry/referenceelements.hh> 
29 ·14 
30 ·15#include·<dune/localfunctions/common/localbasis.hh> 
31 ·16#include·<dune/localfunctions/common/localinterpolation.hh> 
32 ·17 
33 ·18namespace·Dune28 ·13namespace·Dune
34 ·19{29 ·14{
35 ·20 
36 ·28·template<·class·D,·class·R,·unsigned·int·d·> 
37 29·class·RannacherTurekLocalInterpolation30 ·15
 31 ·16·//·DGLocalCoefficients
 32 ·17·//·-------------------
 33 ·18
 34 22·class·DGLocalCoefficients
 35 ·23·{
 36 ·24·typedef·DGLocalCoefficients·This;
 37 ·25
 38 ·26·public:
 39 28·DGLocalCoefficients·(·const·unsigned·int·n·)
 40 ·29·:·localKey_(·n·)
38 ·30·{41 ·30·{
39 ·31·typedef·LocalBasisTraits<_D,_d,_FieldVector<_D,_d_>, 
40 ·32·R,·1,·FieldVector<·R,·1·>, 
41 ·33·FieldMatrix<·R,·1,·d·>·>·Traits;42 ·31·for(·unsigned·i·=·0;·i·<·n;·++i·)
 43 ·32·localKey_[·i·]·=·LocalKey(·0,·0,·i·);
 44 ·33·}
42 ·3445 ·34
 46 35·const·LocalKey·&localKey·(·const·unsigned·int·i·)·const
43 ·35·public: 
44 ·36·template<·class·F,·class·C·> 
45 37·void·interpolate·(·const·F·&ff,·std::vector<·C·>·&out·)·const 
46 ·38·{47 ·36·{
47 ·39·typedef·typename·Traits::DomainType·DomainType;48 ·37·assert(·i·<·size()·);
 49 ·38·return·localKey_[·i·];
 50 ·39·}
48 ·4051 ·40
49 ·41·auto&&·f·=·Impl::makeFunctionWithCallOperator<DomainType>(ff);52 41·unsigned·int·size·()·const
50 ·4253 ·42·{
51 ·43·//·get·cubic·reference·element 
52 ·44·auto·referenceElement·=·ReferenceElements<·D,·d·>::cube();54 ·43·return·localKey_.size();
 55 ·44·}
53 ·4556 ·45
54 ·46·const·int·size·=·2*d; 
55 ·47·assert(·size·==·referenceElement.size(·1·)·); 
56 ·48 
57 ·49·//·resize·vector 
58 ·50·out.resize(·size·);57 ·46·private:
 58 ·47·std::vector<·LocalKey·>·localKey_;
 59 ·48·};
 60 ·49
 61 ·50
59 ·5162 ·51
60 ·52·//·evaluate·local·function·in·barycenter·of·codim·1·subentities 
61 ·53·for(·int·i·=·0;·i·<·size;·++i·)63 ·52·//·DGLocalCoefficientsFactory
 64 ·53·//·--------------------------
 65 ·57·template<·class·BasisFactory·>
 66 58·struct·DGLocalCoefficientsFactory
62 ·54·{67 ·59·{
 68 60·static·const·unsigned·int·dimension·=·BasisFactory::dimension;
 69 61·typedef·typename·BasisFactory::Key·Key;
 70 62·typedef·const·DGLocalCoefficients·Object;
63 ·55·const·DomainType·&x·=·referenceElement.position(·i,·1·); 
64 ·56·out[·i·]·=·f(x); 
65 ·57·} 
66 ·58·} 
67 ·59 
68 ·60·}; 
69 ·61 
70 ·62}·//·namespace·Dune 
71 ·6371 ·63
72 ·64#endif·//·#ifndef·DUNE_RANNACHER_TUREK_LOCALINTERPOLATION_HH72 ·64·template<·GeometryType::Id·geometryId·>
 73 65·static·Object·*create·(·const·Key·&key·)
 74 ·66·{
 75 ·67·const·typename·BasisFactory::Object·*basis
 76 ·68·=·BasisFactory::template·create<·geometryId·>(·key·);
 77 ·69·Object·*coefficients·=·new·Object(·basis->size()·);
 78 ·70·BasisFactory::release(·basis·);
 79 ·71·return·coefficients;
 80 ·72·}
 81 73·static·void·release(·Object·*object·)·{·delete·object;·}
 82 ·74·};
 83 ·75
 84 ·76}
 85 ·77
 86 ·78#endif·//·#ifndef·DUNE_DGLOCALCOEFFICIENTS_HH
 87 localkey.hh
73 Dune88 Dune
74 Definition·bdfmcube.hh:1889 Definition·bdfmcube.hh:18
75 Dune::LocalBasisTraits 
76 Type·traits·for·LocalBasisVirtualInterface. 
77 Definition·common/localbasis.hh:34 
78 Dune::LocalBasisTraits::DomainType 
79 D·DomainType 
80 domain·type 
81 Definition·common/localbasis.hh:42 
82 Dune::RannacherTurekLocalInterpolation 
83 please·doc·me 
84 Definition·rannachertureklocalinterpolation.hh:30 
85 Dune::RannacherTurekLocalInterpolation::interpolate 
86 void·interpolate(const·F·&ff,·std::vector<·C·>·&out)·const 
87 Definition·rannachertureklocalinterpolation.hh:37 
88 localbasis.hh 
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23 struct· Dune::RannacherTurek2DLocalBasis<_D,_R_>25 struct· Dune::MonomialEvaluator<_B_>
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 28  
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 31 struct· Dune::StandardEvaluator<_B_>
 32  
 33 struct· Dune::StandardEvaluator<_B_>::Iterator<_deriv_>
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19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
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22 ·6#define·DUNE_RANNACHER_TUREK_2D_LOCALBASIS_HH20 ·5#ifndef·DUNE_BASISEVALUATOR_HH
 21 ·6#define·DUNE_BASISEVALUATOR_HH
23 ·722 ·7
24 ·8#include·<numeric> 
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26 ·1024 ·9
 25 ·10#include·<dune/common/fmatrix.hh>
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28 ·12#include·<dune/common/fmatrix.hh>27 ·12#include·<dune/common/typetraits.hh>
29 ·1328 ·13
30 ·14#include·<dune/localfunctions/common/localbasis.hh>29 ·14#include·<dune/geometry/type.hh>
31 ·1530 ·15
 31 ·16#include·<dune/localfunctions/utility/field.hh>
 32 ·17#include·<dune/localfunctions/utility/multiindex.hh>
 33 ·18#include·<dune/localfunctions/utility/tensor.hh>
 34 ·19
32 ·16namespace·Dune35 ·20namespace·Dune
33 ·17{ 
34 ·18 
35 ·19·template<·class·D,·class·R·> 
36 20·struct·RannacherTurek2DLocalBasis 
37 ·21·{36 ·21{
38 ·22·typedef·LocalBasisTraits<_D,_2,_FieldVector<_D,_2_>, 
39 ·23·R,·1,·FieldVector<·R,·1·>, 
40 24·FieldMatrix<·R,·1,·2·>·>·Traits; 
41 ·25 
42 27·unsigned·int·size·()·const37 ·22·/*******************************************
 38 ·23·*·Should·be·removed·as·soon·as·the·Tensor
 39 ·24·*·classes·have·been·revisited.·See·remarks
 40 ·25·*·in·tensor.hh·(also·hold·true·here).
 41 ·26·*******************************************/
 42 ·27
43 ·28·{43 ·28
 44 ·29·template·<class·B>
 45 30·struct·MonomialEvaluator
44 ·29·return·4; 
45 ·30·} 
46 ·31 
47 33·inline·void·evaluateFunction·(·const·typename·Traits::DomainType·&in, 
48 ·34·std::vector<·typename·Traits::RangeType·>·&out·)·const 
49 ·35·{46 ·31·{
50 ·36·out.resize(4); 
51 ·37·typename·Traits::DomainFieldType·qbase·=·in[0]*in[0]-in[1]*in[1]; 
52 ·38·out[0]·=·.75·-·2*in[0]·+·in[1]·+·qbase; 
53 ·39·out[1]·=·-.25·+·in[1]·+·qbase; 
54 ·40·out[2]·=·.75·+·in[0]·-·2*in[1]·-·qbase; 
55 ·41·out[3]·=·-.25·+·in[0]·-·qbase;47 32·typedef·B·Basis;
 48 33·typedef·typename·Basis::Field·Field;
 49 34·typedef·typename·Basis::DomainVector·DomainVector;
 50 35·static·const·int·dimension·=·Basis::dimension;
 51 36·static·const·int·dimRange·=·Basis::dimRange;
 52 ·37
 53 38·typedef·std::vector<Field>·Container;
 54 ·39
 55 ·40·template<·class·Deriv·>
 56 ·41·struct·BaseIterator;
56 ·42·}57 ·42
 58 ·43·template·<unsigned·int·deriv>
 59 44·struct·Iterator
57 ·43 
58 45·inline·void·evaluateJacobian·(·const·typename·Traits::DomainType·&in, 
59 ·46·std::vector<·typename·Traits::JacobianType·>·&out·)·const 
60 ·47·{60 ·45·{
61 ·48·out.resize(4);61 46·typedef
 62 BaseIterator<Derivatives<Field,dimension,dimRange,deriv,DerivativeLayoutNS::
 63 derivative>·>·All;
 64 47·typedef·BaseIterator<Derivatives<Field,dimension,1,0,DerivativeLayoutNS::
 65 value>·>·Integrate;
 66 ·48·};
62 ·4967 ·49
 68 50·unsigned·int·size()·const
 69 ·51·{
 70 ·52·return·size_;
63 ·50·//·see·http://www.dune-project.org/doc/doxygen/html/ 
64 classDune_1_1C1LocalBasisInterface.html#d6f8368f8aa43439cc7ef10419f6e2ea 
65 ·51·//·out[i][j][k]·=·d_k·\phi^i_j·,·where·\phi^i_j·is·the·j'th·component·of 
66 the·i'th·shape·function. 
67 ·52 
68 ·53·out[0][0][0]·=·-2·+·2*in[0];·out[0][0][1]·=·1·-·2*in[1]; 
69 ·54·out[1][0][0]·=·2*in[0];·out[1][0][1]·=·1·-·2*in[1]; 
70 ·55·out[2][0][0]·=·1·-·2*in[0];·out[2][0][1]·=·-2·+·2*in[1]; 
71 ·56·out[3][0][0]·=·1·-·2*in[0];·out[3][0][1]·=·2*in[1]; 
72 ·57·}71 ·53·}
73 ·58 
74 60·void·partial·(const·std::array<unsigned·int,·2>&·order, 
75 ·61·const·typename·Traits::DomainType&·in,·//·position 
76 ·62·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value72 ·54
 73 ·55·protected:
 74 56·MonomialEvaluator(const·Basis·&basis,unsigned·int·order,unsigned·int·size)
 75 ·57·:·basis_(basis),
 76 ·58·order_(order),
 77 ·59·size_(size),
 78 ·60·container_(0)
 79 ·61·{}
 80 ·62·template·<int·deriv>
 81 63·void·resize()
77 ·63·{82 ·64·{
 83 ·65·const·int·totalSize·=
 84 Derivatives<Field,dimension,dimRange,deriv,DerivativeLayoutNS::derivative>::
 85 size*size_;
 86 ·66·container_.resize(totalSize);
78 ·64·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0); 
79 ·65·if·(totalOrder·==·0)·{ 
80 ·66·evaluateFunction(in,·out); 
81 ·67·}·else·if·(totalOrder·==·1)·{ 
82 ·68·auto·const·direction·=·std::distance(order.begin(),·std::find(order.begin 
83 (),·order.end(),·1)); 
84 ·69·out.resize(size()); 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·mimetic 
13 Classes·|·Namespaces12 Classes·|·Namespaces
14 mimeticall.hh·File·Reference 
15 #include·<cstddef> 
16 #include·<dune/common/exceptions.hh> 
17 #include·<dune/common/fvector.hh> 
18 #include·<dune/common/fmatrix.hh> 
19 #include·<dune/geometry/type.hh> 
20 #include·"../common/localbasis.hh" 
21 #include·"../common/localkey.hh"13 lagrange.hh·File·Reference
 14 Convenience·header·that·includes·all·implementations·of·Lagrange·finite
 15 elements.·More...
 16 #include·<dune/localfunctions/utility/localfiniteelement.hh>
 17 #include·<dune/localfunctions/utility/dglocalcoefficients.hh>
 18 #include·<dune/localfunctions/lagrange/lagrangecoefficients.hh>
 19 #include·<dune/localfunctions/lagrange/interpolation.hh>
 20 #include·<dune/localfunctions/lagrange/lagrangebasis.hh>
 21 #include·<dune/localfunctions/lagrange/lagrangecube.hh>
 22 #include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
 23 #include·<dune/localfunctions/lagrange/lagrangeprism.hh>
 24 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 25 #include·<dune/localfunctions/lagrange/p0.hh>
 26 #include·<dune/localfunctions/lagrange/pq22d.hh>
22 Go_to_the_source_code_of_this_file.27 Go_to_the_source_code_of_this_file.
23 ·Classes28 ·Classes
 29 class· Dune::LagrangeLocalFiniteElement<_LP,_dimDomain,_D,_R,_SF,_CF_>
 30  ······Lagrange·local·finite·elements·for·a·given·set·of·interpolation·points.
24 class· Dune::MimeticLocalBasis<_D,_R,_dim_> 
25   
26 class· Dune::MimeticLocalInterpolation<_LB_> 
27   
28 class· Dune::MimeticLocalCoefficients 
29  ······!·More...31 ········More...
30  32  
31 ·Namespaces33 ·Namespaces
32 namespace· Dune34 namespace· Dune
33  35  
 36 *****·Detailed·Description·*****
 37 Convenience·header·that·includes·all·implementations·of·Lagrange·finite
 38 elements.
  
34 ===============================================================================39 ===============================================================================
35 ·····Generated·by [doxygen]·1.9.840 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 lagrange.hh
12 ····*·mimetic 
13 mimeticall.hh 
14 Go_to_the_documentation_of_this_file.13 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-14 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:15 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file16 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root17 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception18 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_MIMETIC_ALL_HH 
21 ·6#define·DUNE_MIMETIC_ALL_HH19 ·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_HH
 20 ·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_HH
22 ·721 ·7
 22 ·12//·Headers·for·Lagrange·elements·with·run-time·order
 23 ·13#include·<dune/localfunctions/utility/localfiniteelement.hh>
 24 ·14#include·<dune/localfunctions/utility/dglocalcoefficients.hh>
23 ·8#include·<cstddef> 
24 ·9 
25 ·10#include·<dune/common/exceptions.hh> 
26 ·11#include·<dune/common/fvector.hh> 
27 ·12#include·<dune/common/fmatrix.hh> 
28 ·13 
29 ·14#include·<dune/geometry/type.hh> 
30 ·1525 ·15
31 ·16#include·"../common/localbasis.hh" 
32 ·17#include·"../common/localkey.hh" 
33 ·18 
34 ·19namespace·Dune 
35 ·20{ 
36 ·21·template<class·D,·class·R,·int·dim> 
37 22·class·MimeticLocalBasis 
38 ·23·{ 
39 ·24·public: 
40 ·25·typedef·Dune::LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>, 
41 26·R,1,Dune::FieldVector<R,1>,·Dune::FieldMatrix<R,1,dim>·>·Traits;26 ·16#include·<dune/localfunctions/lagrange/lagrangecoefficients.hh>
 27 ·17#include·<dune/localfunctions/lagrange/interpolation.hh>
 28 ·18#include·<dune/localfunctions/lagrange/lagrangebasis.hh>
 29 ·19
 30 ·20//·Headers·for·Lagrange·elements·with·compile-time·order
 31 ·21#include·<dune/localfunctions/lagrange/lagrangecube.hh>
 32 ·22#include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
 33 ·23#include·<dune/localfunctions/lagrange/lagrangeprism.hh>
 34 ·24#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 35 ·25#include·<dune/localfunctions/lagrange/p0.hh>
 36 ·26#include·<dune/localfunctions/lagrange/pq22d.hh>
42 ·2737 ·27
 38 ·28namespace·Dune
 39 ·29{
 40 ·59·template<·template·<class,unsigned·int>·class·LP,
 41 ·60·unsigned·int·dimDomain,·class·D,·class·R,
 42 ·61·class·SF=R,·class·CF=SF·>
 43 62·class·LagrangeLocalFiniteElement
 44 ·63·:·public·GenericLocalFiniteElement<·LagrangeBasisFactory<·LP,·dimDomain,
 45 SF,·CF·>,
 46 ·64·LagrangeCoefficientsFactory<LP,·dimDomain,·SF·>,
 47 ·65·LagrangeInterpolationFactory<·LP,·dimDomain,·SF·>·>
43 28·MimeticLocalBasis·(unsigned·int·variant_) 
44 ·29·:·variant(variant_) 
45 ·30·{} 
46 ·31 
47 32·MimeticLocalBasis·() 
48 ·33·:·variant(0) 
49 ·34·{} 
50 ·35 
51 36·unsigned·int·size·()·const·{·return·variant;·} 
52 ·37 
53 39·inline·void·evaluateFunction·( 
54 ·40·const·typename·Traits::DomainType&·in, 
55 ·41·std::vector<typename·Traits::RangeType>&·out)·const 
56 ·42·{ 
57 ·43·DUNE_THROW(Dune::Exception,"mimetic·basis·evaluation·not·available"); 
58 ·44·} 
59 ·45 
60 47·inline·void·evaluateJacobian·( 
61 ·48·const·typename·Traits::DomainType&·in, 
62 ·49·std::vector<typename·Traits::JacobianType>&·out)·const 
63 ·50·{ 
64 ·51·DUNE_THROW(Dune::Exception,"mimetic·basis·Jacobian·evaluation·not 
65 available"); 
66 ·52·} 
67 ·53 
68 55·void·partial·(const·std::array<unsigned·int,·dim>&·/*order*/, 
69 ·56·const·typename·Traits::DomainType&·/*in*/,·//·position 
70 ·57·std::vector<typename·Traits::RangeType>&·/*out*/)·const·//·return·value 
71 ·58·{ 
72 ·59·DUNE_THROW(Dune::Exception,"mimetic·basis·partial·derivative·evaluation·not 
73 available"); 
74 ·60·} 
75 ·61 
76 63·unsigned·int·order·()·const 
77 ·64·{48 ·66·{
 49 ·67·typedef·GenericLocalFiniteElement<_LagrangeBasisFactory<_LP,_dimDomain,_SF,
 50 CF_>,
 51 ·68·LagrangeCoefficientsFactory<LP,_dimDomain,_SF_>,
 52 ·69·LagrangeInterpolationFactory<_LP,_dimDomain,_SF_>·>·Base;
78 ·65·DUNE_THROW(Dune::Exception,"mimetic·order·evaluation·not·available"); 
79 ·66·} 
80 ·67 
81 ·68·private: 
82 ·69·unsigned·int·variant; 
83 ·70·}; 
84 ·71 
85 ·72·template<class·LB> 
86 73·class·MimeticLocalInterpolation 
87 ·74·{ 
88 ·75·public:53 ·70·public:
89 ·76 
90 ·78·template<typename·F,·typename·C> 
91 79·void·interpolate·(const·F&·f,·std::vector<C>&·out)·const·{ 
92 ·80·DUNE_THROW(Dune::Exception,"mimetic·local·interpolation·not·available"); 
93 ·81·}54 71·typedef·typename·Base::Traits·Traits;
 55 ·72
 56 75·LagrangeLocalFiniteElement·(·const·GeometryType·&gt,·unsigned·int·order·)
 57 ·76·:·Base(·gt,·order·)
 58 ·77·{}
94 ·82·};59 ·78·};
 60 ·79}
 61 ·80
 62 ·81#endif·//·#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_HH
 63 p0.hh
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84 <p>Brezzi-Douglas-Fortin-Marini·finite·elements·for·cubes.··84 <p>Brezzi-Douglas-Fortin-Marini·finite·elements·for·cubes.··
85 ·<a·href="a01405.html#details">More...</a></p>85 ·<a·href="a01405.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00440_source.html">dune/localfunctions/brezzidouglasfortinmarini/bdfmcube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00518_source.html">dune/localfunctions/brezzidouglasfortinmarini/bdfmcube.hh</a>&gt;</code></p>
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80 ··<div·class="headertitle"><div·class="title">Dune::BDFMCubeLocalCoefficients&lt;·D,·R,·dim,·order·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::BDFMCubeLocalCoefficients&lt;·D,·R,·dim,·order·&gt;·Class·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Layout·map·for·Brezzi-Douglas-Fortin-Marini·elements·on·cubes.··83 <p>Layout·map·for·Brezzi-Douglas-Fortin-Marini·elements·on·cubes.··
84 ·<a·href="a01425.html#details">More...</a></p>84 ·<a·href="a01425.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00443_source.html">dune/localfunctions/brezzidouglasfortinmarini/cube/localcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00515_source.html">dune/localfunctions/brezzidouglasfortinmarini/cube/localcoefficients.hh</a>&gt;</code></p>
86 <div·class="dynheader">86 <div·class="dynheader">
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81 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube2DLocalFiniteElement&lt;·D,·R·&gt;·Class·Template·Reference<div·class="ingroups"><a·class="el"·href="a00571.html">LocalFunctions</a>·&raquo;·<a·class="el"·href="a00573.html">Brezzi-Douglas-Marini·elements</a></div></div></div>81 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube2DLocalFiniteElement&lt;·D,·R·&gt;·Class·Template·Reference<div·class="ingroups"><a·class="el"·href="a00571.html">LocalFunctions</a>·&raquo;·<a·class="el"·href="a00573.html">Brezzi-Douglas-Marini·elements</a></div></div></div>
82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
84 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.··84 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.··
85 ·<a·href="a01433.html#details">More...</a></p>85 ·<a·href="a01433.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00344_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube2d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00476_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube2d.hh</a>&gt;</code></p>
87 <div·class="dynheader">87 <div·class="dynheader">
88 Inheritance·diagram·for·Dune::BDM1Cube2DLocalFiniteElement&lt;·D,·R·&gt;:</div>88 Inheritance·diagram·for·Dune::BDM1Cube2DLocalFiniteElement&lt;·D,·R·&gt;:</div>
89 <div·class="dyncontent">89 <div·class="dyncontent">
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80 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube2DLocalBasis&lt;·D,·R·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube2DLocalBasis&lt;·D,·R·&gt;·Class·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference·quadrilateral.··83 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference·quadrilateral.··
84 ·<a·href="a01437.html#details">More...</a></p>84 ·<a·href="a01437.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00386_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube2d/brezzidouglasmarini1cube2dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00464_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube2d/brezzidouglasmarini1cube2dlocalbasis.hh</a>&gt;</code></p>
86 <table·class="memberdecls">86 <table·class="memberdecls">
87 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>87 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>
88 Public·Types</h2></td></tr>88 Public·Types</h2></td></tr>
89 <tr·class="memitem:a50bae63a194b9d477b98afc703052baa"·id="r_a50bae63a194b9d477b98afc703052baa"><td·class="memItemLeft"·align="right"·valign="top">typedef·<a·class="el"·href="a01577.html">LocalBasisTraits</a>&lt;·D,·2,·Dune::FieldVector&lt;·D,·2·&gt;,·R,·2,·Dune::FieldVector&lt;·R,·2·&gt;,·Dune::FieldMatrix&lt;·R,·2,·2·&gt;·&gt;&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a01437.html#a50bae63a194b9d477b98afc703052baa">Traits</a></td></tr>89 <tr·class="memitem:a50bae63a194b9d477b98afc703052baa"·id="r_a50bae63a194b9d477b98afc703052baa"><td·class="memItemLeft"·align="right"·valign="top">typedef·<a·class="el"·href="a01577.html">LocalBasisTraits</a>&lt;·D,·2,·Dune::FieldVector&lt;·D,·2·&gt;,·R,·2,·Dune::FieldVector&lt;·R,·2·&gt;,·Dune::FieldMatrix&lt;·R,·2,·2·&gt;·&gt;&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a01437.html#a50bae63a194b9d477b98afc703052baa">Traits</a></td></tr>
90 <tr·class="separator:a50bae63a194b9d477b98afc703052baa"><td·class="memSeparator"·colspan="2">&#160;</td></tr>90 <tr·class="separator:a50bae63a194b9d477b98afc703052baa"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
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80 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube2DLocalCoefficients·Class·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube2DLocalCoefficients·Class·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·quadrilaterals.··83 <p>Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·quadrilaterals.··
84 ·<a·href="a01441.html#details">More...</a></p>84 ·<a·href="a01441.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00383_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube2d/brezzidouglasmarini1cube2dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00458_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube2d/brezzidouglasmarini1cube2dlocalcoefficients.hh</a>&gt;</code></p>
86 <div·class="dynheader">86 <div·class="dynheader">
87 Inheritance·diagram·for·Dune::BDM1Cube2DLocalCoefficients:</div>87 Inheritance·diagram·for·Dune::BDM1Cube2DLocalCoefficients:</div>
88 <div·class="dyncontent">88 <div·class="dyncontent">
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90 <map·name="a_dune_1_1_b_d_m1_cube2_d_local_coefficients_inherit__map"·id="a_dune_1_1_b_d_m1_cube2_d_local_coefficients_inherit__map">90 <map·name="a_dune_1_1_b_d_m1_cube2_d_local_coefficients_inherit__map"·id="a_dune_1_1_b_d_m1_cube2_d_local_coefficients_inherit__map">
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79 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube2DLocalInterpolation&lt;·LB·&gt;·Class·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube2DLocalInterpolation&lt;·LB·&gt;·Class·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference·quadrilateral.··82 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference·quadrilateral.··
83 ·<a·href="a01445.html#details">More...</a></p>83 ·<a·href="a01445.html#details">More...</a></p>
  
84 <p><code>#include·&lt;<a·class="el"·href="a00389_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube2d/brezzidouglasmarini1cube2dlocalinterpolation.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00461_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube2d/brezzidouglasmarini1cube2dlocalinterpolation.hh</a>&gt;</code></p>
85 <div·class="dynheader">85 <div·class="dynheader">
86 Inheritance·diagram·for·Dune::BDM1Cube2DLocalInterpolation&lt;·LB·&gt;:</div>86 Inheritance·diagram·for·Dune::BDM1Cube2DLocalInterpolation&lt;·LB·&gt;:</div>
87 <div·class="dyncontent">87 <div·class="dyncontent">
88 <div·class="center"><img·src="a01444.png"·border="0"·usemap="#a_dune_1_1_b_d_m1_cube2_d_local_interpolation_3_01_l_b_01_4_inherit__map"·alt="Inheritance·graph"/></div>88 <div·class="center"><img·src="a01444.png"·border="0"·usemap="#a_dune_1_1_b_d_m1_cube2_d_local_interpolation_3_01_l_b_01_4_inherit__map"·alt="Inheritance·graph"/></div>
89 <map·name="a_dune_1_1_b_d_m1_cube2_d_local_interpolation_3_01_l_b_01_4_inherit__map"·id="a_dune_1_1_b_d_m1_cube2_d_local_interpolation_3_01_l_b_01_4_inherit__map">89 <map·name="a_dune_1_1_b_d_m1_cube2_d_local_interpolation_3_01_l_b_01_4_inherit__map"·id="a_dune_1_1_b_d_m1_cube2_d_local_interpolation_3_01_l_b_01_4_inherit__map">
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81 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube3DLocalFiniteElement&lt;·D,·R·&gt;·Class·Template·Reference<div·class="ingroups"><a·class="el"·href="a00571.html">LocalFunctions</a>·&raquo;·<a·class="el"·href="a00573.html">Brezzi-Douglas-Marini·elements</a></div></div></div>81 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube3DLocalFiniteElement&lt;·D,·R·&gt;·Class·Template·Reference<div·class="ingroups"><a·class="el"·href="a00571.html">LocalFunctions</a>·&raquo;·<a·class="el"·href="a00573.html">Brezzi-Douglas-Marini·elements</a></div></div></div>
82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
84 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·hexahedron.··84 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·hexahedron.··
85 ·<a·href="a01449.html#details">More...</a></p>85 ·<a·href="a01449.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00371_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube3d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00455_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube3d.hh</a>&gt;</code></p>
87 <div·class="dynheader">87 <div·class="dynheader">
88 Inheritance·diagram·for·Dune::BDM1Cube3DLocalFiniteElement&lt;·D,·R·&gt;:</div>88 Inheritance·diagram·for·Dune::BDM1Cube3DLocalFiniteElement&lt;·D,·R·&gt;:</div>
89 <div·class="dyncontent">89 <div·class="dyncontent">
90 <div·class="center"><img·src="a01448.png"·border="0"·usemap="#a_dune_1_1_b_d_m1_cube3_d_local_finite_element_3_01_d_00_01_r_01_4_inherit__map"·alt="Inheritance·graph"/></div>90 <div·class="center"><img·src="a01448.png"·border="0"·usemap="#a_dune_1_1_b_d_m1_cube3_d_local_finite_element_3_01_d_00_01_r_01_4_inherit__map"·alt="Inheritance·graph"/></div>
91 <map·name="a_dune_1_1_b_d_m1_cube3_d_local_finite_element_3_01_d_00_01_r_01_4_inherit__map"·id="a_dune_1_1_b_d_m1_cube3_d_local_finite_element_3_01_d_00_01_r_01_4_inherit__map">91 <map·name="a_dune_1_1_b_d_m1_cube3_d_local_finite_element_3_01_d_00_01_r_01_4_inherit__map"·id="a_dune_1_1_b_d_m1_cube3_d_local_finite_element_3_01_d_00_01_r_01_4_inherit__map">
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80 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube3DLocalBasis&lt;·D,·R·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::BDM1Cube3DLocalBasis&lt;·D,·R·&gt;·Class·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference·hexahedron.··83 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference·hexahedron.··
84 ·<a·href="a01453.html#details">More...</a></p>84 ·<a·href="a01453.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00398_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube3d/brezzidouglasmarini1cube3dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00482_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube3d/brezzidouglasmarini1cube3dlocalbasis.hh</a>&gt;</code></p>
86 <table·class="memberdecls">86 <table·class="memberdecls">
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85 <p><code>#include·&lt;<a·class="el"·href="a00392_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube3d/brezzidouglasmarini1cube3dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00488_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube3d/brezzidouglasmarini1cube3dlocalcoefficients.hh</a>&gt;</code></p>
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84 <p><code>#include·&lt;<a·class="el"·href="a00395_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube3d/brezzidouglasmarini1cube3dlocalinterpolation.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00485_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1cube3d/brezzidouglasmarini1cube3dlocalinterpolation.hh</a>&gt;</code></p>
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85 ·<a·href="a01465.html#details">More...</a></p>85 ·<a·href="a01465.html#details">More...</a></p>
  
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84 ·<a·href="a01469.html#details">More...</a></p>84 ·<a·href="a01469.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00353_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1simplex2d/brezzidouglasmarini1simplex2dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00503_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1simplex2d/brezzidouglasmarini1simplex2dlocalbasis.hh</a>&gt;</code></p>
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84 ·<a·href="a01473.html#details">More...</a></p>84 ·<a·href="a01473.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00359_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1simplex2d/brezzidouglasmarini1simplex2dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00500_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1simplex2d/brezzidouglasmarini1simplex2dlocalcoefficients.hh</a>&gt;</code></p>
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84 <p><code>#include·&lt;<a·class="el"·href="a00356_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1simplex2d/brezzidouglasmarini1simplex2dlocalinterpolation.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00497_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini1simplex2d/brezzidouglasmarini1simplex2dlocalinterpolation.hh</a>&gt;</code></p>
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84 <p>Second·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.··84 <p>Second·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.··
85 ·<a·href="a01481.html#details">More...</a></p>85 ·<a·href="a01481.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00341_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2cube2d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00506_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2cube2d.hh</a>&gt;</code></p>
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82 <div·class="contents">82 <div·class="contents">
  
83 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.··83 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.··
84 ·<a·href="a01485.html#details">More...</a></p>84 ·<a·href="a01485.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00365_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2cube2d/brezzidouglasmarini2cube2dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00470_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2cube2d/brezzidouglasmarini2cube2dlocalbasis.hh</a>&gt;</code></p>
86 <table·class="memberdecls">86 <table·class="memberdecls">
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80 ··<div·class="headertitle"><div·class="title">Dune::BDM2Cube2DLocalCoefficients·Class·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::BDM2Cube2DLocalCoefficients·Class·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·quadrilaterals.··83 <p>Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·quadrilaterals.··
84 ·<a·href="a01489.html#details">More...</a></p>84 ·<a·href="a01489.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00362_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2cube2d/brezzidouglasmarini2cube2dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00467_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2cube2d/brezzidouglasmarini2cube2dlocalcoefficients.hh</a>&gt;</code></p>
86 <div·class="dynheader">86 <div·class="dynheader">
87 Inheritance·diagram·for·Dune::BDM2Cube2DLocalCoefficients:</div>87 Inheritance·diagram·for·Dune::BDM2Cube2DLocalCoefficients:</div>
88 <div·class="dyncontent">88 <div·class="dyncontent">
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90 <map·name="a_dune_1_1_b_d_m2_cube2_d_local_coefficients_inherit__map"·id="a_dune_1_1_b_d_m2_cube2_d_local_coefficients_inherit__map">90 <map·name="a_dune_1_1_b_d_m2_cube2_d_local_coefficients_inherit__map"·id="a_dune_1_1_b_d_m2_cube2_d_local_coefficients_inherit__map">
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83 ·<a·href="a01493.html#details">More...</a></p>83 ·<a·href="a01493.html#details">More...</a></p>
  
84 <p><code>#include·&lt;<a·class="el"·href="a00368_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2cube2d/brezzidouglasmarini2cube2dlocalinterpolation.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00473_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2cube2d/brezzidouglasmarini2cube2dlocalinterpolation.hh</a>&gt;</code></p>
85 <div·class="dynheader">85 <div·class="dynheader">
86 Inheritance·diagram·for·Dune::BDM2Cube2DLocalInterpolation&lt;·LB·&gt;:</div>86 Inheritance·diagram·for·Dune::BDM2Cube2DLocalInterpolation&lt;·LB·&gt;:</div>
87 <div·class="dyncontent">87 <div·class="dyncontent">
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82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
84 <p>Second·order·Brezzi-Douglas-Marini·shape·functions·on·triangles.··84 <p>Second·order·Brezzi-Douglas-Marini·shape·functions·on·triangles.··
85 ·<a·href="a01497.html#details">More...</a></p>85 ·<a·href="a01497.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00350_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2simplex2d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00509_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2simplex2d.hh</a>&gt;</code></p>
87 <div·class="dynheader">87 <div·class="dynheader">
88 Inheritance·diagram·for·Dune::BDM2Simplex2DLocalFiniteElement&lt;·D,·R·&gt;:</div>88 Inheritance·diagram·for·Dune::BDM2Simplex2DLocalFiniteElement&lt;·D,·R·&gt;:</div>
89 <div·class="dyncontent">89 <div·class="dyncontent">
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83 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.··83 <p>First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.··
84 ·<a·href="a01501.html#details">More...</a></p>84 ·<a·href="a01501.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00374_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2simplex2d/brezzidouglasmarini2simplex2dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00446_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2simplex2d/brezzidouglasmarini2simplex2dlocalbasis.hh</a>&gt;</code></p>
86 <table·class="memberdecls">86 <table·class="memberdecls">
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81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·triangles.··83 <p>Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·triangles.··
84 ·<a·href="a01505.html#details">More...</a></p>84 ·<a·href="a01505.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00377_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2simplex2d/brezzidouglasmarini2simplex2dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00452_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2simplex2d/brezzidouglasmarini2simplex2dlocalcoefficients.hh</a>&gt;</code></p>
86 <div·class="dynheader">86 <div·class="dynheader">
87 Inheritance·diagram·for·Dune::BDM2Simplex2DLocalCoefficients:</div>87 Inheritance·diagram·for·Dune::BDM2Simplex2DLocalCoefficients:</div>
88 <div·class="dyncontent">88 <div·class="dyncontent">
89 <div·class="center"><img·src="a01504.png"·border="0"·usemap="#a_dune_1_1_b_d_m2_simplex2_d_local_coefficients_inherit__map"·alt="Inheritance·graph"/></div>89 <div·class="center"><img·src="a01504.png"·border="0"·usemap="#a_dune_1_1_b_d_m2_simplex2_d_local_coefficients_inherit__map"·alt="Inheritance·graph"/></div>
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85 ·<a·href="a01517.html#details">More...</a></p>85 ·<a·href="a01517.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00347_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarinicube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00479_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarinicube.hh</a>&gt;</code></p>
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85 ·<a·href="a01521.html#details">More...</a></p>85 ·<a·href="a01521.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00347_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarinicube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00479_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarinicube.hh</a>&gt;</code></p>
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85 ·<a·href="a01525.html#details">More...</a></p>85 ·<a·href="a01525.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00347_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarinicube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00479_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarinicube.hh</a>&gt;</code></p>
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84 <p>Brezzi-Douglas-Marini·local·finite·elements·for·simplices·with·dimension·2·and·order·1.··84 <p>Brezzi-Douglas-Marini·local·finite·elements·for·simplices·with·dimension·2·and·order·1.··
85 ·<a·href="a01533.html#details">More...</a></p>85 ·<a·href="a01533.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00401_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarinisimplex.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00494_source.html">dune/localfunctions/brezzidouglasmarini/brezzidouglasmarinisimplex.hh</a>&gt;</code></p>
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84 <p><code>#include·&lt;<a·class="el"·href="a00413_source.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00095_source.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>&gt;</code></p>
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84 ·<a·href="a01601.html#details">More...</a></p>84 ·<a·href="a01601.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00425_source.html">dune/localfunctions/common/localfiniteelementvariant.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00074_source.html">dune/localfunctions/common/localfiniteelementvariant.hh</a>&gt;</code></p>
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84 ·<a·href="a01629.html#details">More...</a></p>84 ·<a·href="a01629.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00437_source.html">dune/localfunctions/common/localkey.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00071_source.html">dune/localfunctions/common/localkey.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00422_source.html">dune/localfunctions/common/localtoglobaladaptors.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00068_source.html">dune/localfunctions/common/localtoglobaladaptors.hh</a>&gt;</code></p>
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87 <p><code>#include·&lt;<a·class="el"·href="a00419_source.html">dune/localfunctions/common/virtualwrappers.hh</a>&gt;</code></p>87 <p><code>#include·&lt;<a·class="el"·href="a00098_source.html">dune/localfunctions/common/virtualwrappers.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00419_source.html">dune/localfunctions/common/virtualwrappers.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00098_source.html">dune/localfunctions/common/virtualwrappers.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00473_source.html">dune/localfunctions/dualmortarbasis/dualp1.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00050_source.html">dune/localfunctions/dualmortarbasis/dualp1.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00491_source.html">dune/localfunctions/dualmortarbasis/dualp1/dualp1localbasis.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00038_source.html">dune/localfunctions/dualmortarbasis/dualp1/dualp1localbasis.hh</a>&gt;</code></p>
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81 <div·class="contents">81 <div·class="contents">
  
82 <p><code>#include·&lt;<a·class="el"·href="a00329_source.html">dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00029_source.html">dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00329_source.html">dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00029_source.html">dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh</a>&gt;</code></p>
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84 ·<a·href="a01781.html#details">More...</a></p>84 ·<a·href="a01781.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00329_source.html">dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00029_source.html">dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00329_source.html">dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00029_source.html">dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh</a>&gt;</code></p>
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80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p><code>#include·&lt;<a·class="el"·href="a00332_source.html">dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localinterpolation.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00032_source.html">dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localinterpolation.hh</a>&gt;</code></p>
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84 <p><code>#include·&lt;<a·class="el"·href="a00326_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00017_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble.hh</a>&gt;</code></p>
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79 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis&lt;·D,·R,·dim·&gt;·Class·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis&lt;·D,·R,·dim·&gt;·Class·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p><code>#include·&lt;<a·class="el"·href="a00335_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00020_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh</a>&gt;</code></p>
83 <table·class="memberdecls">83 <table·class="memberdecls">
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85 Public·Member·Functions</h2></td></tr>85 Public·Member·Functions</h2></td></tr>
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80 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis&lt;·D,·R,·1·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis&lt;·D,·R,·1·&gt;·Class·Template·Reference</div></div>
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82 <div·class="contents">82 <div·class="contents">
  
83 <p>Hierarchical·P2·basis·in·1d.··83 <p>Hierarchical·P2·basis·in·1d.··
84 ·<a·href="a01801.html#details">More...</a></p>84 ·<a·href="a01801.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00335_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00020_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh</a>&gt;</code></p>
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80 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis&lt;·D,·R,·2·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis&lt;·D,·R,·2·&gt;·Class·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Hierarchical·P2·basis·in·1d.··83 <p>Hierarchical·P2·basis·in·1d.··
84 ·<a·href="a01805.html#details">More...</a></p>84 ·<a·href="a01805.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00335_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00020_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh</a>&gt;</code></p>
86 <table·class="memberdecls">86 <table·class="memberdecls">
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80 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis&lt;·D,·R,·3·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis&lt;·D,·R,·3·&gt;·Class·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Hierarchical·P2·basis·in·1d.··83 <p>Hierarchical·P2·basis·in·1d.··
84 ·<a·href="a01809.html#details">More...</a></p>84 ·<a·href="a01809.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00335_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00020_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh</a>&gt;</code></p>
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79 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients&lt;·dim·&gt;·Class·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalCoefficients&lt;·dim·&gt;·Class·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p>The·local·finite·element·needed·for·the·Zou-Kornhuber·estimator·for·Signorini·problems.··82 <p>The·local·finite·element·needed·for·the·Zou-Kornhuber·estimator·for·Signorini·problems.··
83 ·<a·href="a01813.html#details">More...</a></p>83 ·<a·href="a01813.html#details">More...</a></p>
  
84 <p><code>#include·&lt;<a·class="el"·href="a00335_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00020_source.html">dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh</a>&gt;</code></p>
85 <table·class="memberdecls">85 <table·class="memberdecls">
86 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-methods"·name="pub-methods"></a>86 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-methods"·name="pub-methods"></a>
87 Public·Member·Functions</h2></td></tr>87 Public·Member·Functions</h2></td></tr>
88 <tr·class="memitem:af3753ad355aacca16d944235148afbe2"·id="r_af3753ad355aacca16d944235148afbe2"><td·class="memItemLeft"·align="right"·valign="top">&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a01813.html#af3753ad355aacca16d944235148afbe2">HierarchicalSimplexP2WithElementBubbleLocalCoefficients</a>·()</td></tr>88 <tr·class="memitem:af3753ad355aacca16d944235148afbe2"·id="r_af3753ad355aacca16d944235148afbe2"><td·class="memItemLeft"·align="right"·valign="top">&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a01813.html#af3753ad355aacca16d944235148afbe2">HierarchicalSimplexP2WithElementBubbleLocalCoefficients</a>·()</td></tr>
89 <tr·class="memdesc:af3753ad355aacca16d944235148afbe2"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Standard·constructor.··<br·/></td></tr>89 <tr·class="memdesc:af3753ad355aacca16d944235148afbe2"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Standard·constructor.··<br·/></td></tr>
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76 ··<div·class="summary">76 ··<div·class="summary">
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78 <a·href="a01814.html">List·of·all·members</a>··</div>78 <a·href="a01814.html">List·of·all·members</a>··</div>
79 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalInterpolation&lt;·LB·&gt;·Class·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::HierarchicalSimplexP2WithElementBubbleLocalInterpolation&lt;·LB·&gt;·Class·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
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86 <p><code>#include·&lt;<a·class="el"·href="a00467_source.html">dune/localfunctions/lagrange.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00566_source.html">dune/localfunctions/lagrange.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00065_source.html">dune/localfunctions/lagrange/lagrangeprism.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00416_source.html">dune/localfunctions/lagrange/lagrangeprism.hh</a>&gt;</code></p>
87 <table·class="memberdecls">87 <table·class="memberdecls">
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89 Public·Types</h2></td></tr>89 Public·Types</h2></td></tr>
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81 ··<div·class="headertitle"><div·class="title">Dune::LagrangePyramidLocalFiniteElement&lt;·D,·R,·k·&gt;·Class·Template·Reference</div></div>81 ··<div·class="headertitle"><div·class="title">Dune::LagrangePyramidLocalFiniteElement&lt;·D,·R,·k·&gt;·Class·Template·Reference</div></div>
82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
84 <p>Lagrange·finite·element·for·3d·pyramids·with·compile-time·polynomial·order.··84 <p>Lagrange·finite·element·for·3d·pyramids·with·compile-time·polynomial·order.··
85 ·<a·href="a01929.html#details">More...</a></p>85 ·<a·href="a01929.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00086_source.html">dune/localfunctions/lagrange/lagrangepyramid.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00389_source.html">dune/localfunctions/lagrange/lagrangepyramid.hh</a>&gt;</code></p>
87 <table·class="memberdecls">87 <table·class="memberdecls">
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89 Public·Types</h2></td></tr>89 Public·Types</h2></td></tr>
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81 ··<div·class="headertitle"><div·class="title">Dune::LagrangeSimplexLocalFiniteElement&lt;·D,·R,·d,·k·&gt;·Class·Template·Reference</div></div>81 ··<div·class="headertitle"><div·class="title">Dune::LagrangeSimplexLocalFiniteElement&lt;·D,·R,·d,·k·&gt;·Class·Template·Reference</div></div>
82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
84 <p>Lagrange·finite·element·for·simplices·with·arbitrary·compile-time·dimension·and·polynomial·order.··84 <p>Lagrange·finite·element·for·simplices·with·arbitrary·compile-time·dimension·and·polynomial·order.··
85 ·<a·href="a01945.html#details">More...</a></p>85 ·<a·href="a01945.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00062_source.html">dune/localfunctions/lagrange/lagrangesimplex.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00428_source.html">dune/localfunctions/lagrange/lagrangesimplex.hh</a>&gt;</code></p>
87 <table·class="memberdecls">87 <table·class="memberdecls">
88 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>88 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>
89 Public·Types</h2></td></tr>89 Public·Types</h2></td></tr>
90 <tr·class="memitem:ac2bcae4d8dd8785bace125b10f434333"·id="r_ac2bcae4d8dd8785bace125b10f434333"><td·class="memItemLeft"·align="right"·valign="top">using&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a01945.html#ac2bcae4d8dd8785bace125b10f434333">Traits</a>·=·<a·class="el"·href="a01581.html">LocalFiniteElementTraits</a>&lt;·Impl::LagrangeSimplexLocalBasis&lt;·D,·R,·d,·k·&gt;,·Impl::LagrangeSimplexLocalCoefficients&lt;·d,·k·&gt;,·Impl::LagrangeSimplexLocalInterpolation&lt;·Impl::LagrangeSimplexLocalBasis&lt;·D,·R,·d,·k·&gt;·&gt;·&gt;</td></tr>90 <tr·class="memitem:ac2bcae4d8dd8785bace125b10f434333"·id="r_ac2bcae4d8dd8785bace125b10f434333"><td·class="memItemLeft"·align="right"·valign="top">using&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a01945.html#ac2bcae4d8dd8785bace125b10f434333">Traits</a>·=·<a·class="el"·href="a01581.html">LocalFiniteElementTraits</a>&lt;·Impl::LagrangeSimplexLocalBasis&lt;·D,·R,·d,·k·&gt;,·Impl::LagrangeSimplexLocalCoefficients&lt;·d,·k·&gt;,·Impl::LagrangeSimplexLocalInterpolation&lt;·Impl::LagrangeSimplexLocalBasis&lt;·D,·R,·d,·k·&gt;·&gt;·&gt;</td></tr>
91 <tr·class="memdesc:ac2bcae4d8dd8785bace125b10f434333"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Export·number·types,·dimensions,·etc.··<br·/></td></tr>91 <tr·class="memdesc:ac2bcae4d8dd8785bace125b10f434333"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Export·number·types,·dimensions,·etc.··<br·/></td></tr>
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80 ··<div·class="headertitle"><div·class="title">Dune::P0LocalFiniteElement&lt;·D,·R,·d·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::P0LocalFiniteElement&lt;·D,·R,·d·&gt;·Class·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>The·local·p0·finite·element·on·all·types·of·reference·elements.··83 <p>The·local·p0·finite·element·on·all·types·of·reference·elements.··
84 ·<a·href="a01949.html#details">More...</a></p>84 ·<a·href="a01949.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00080_source.html">dune/localfunctions/lagrange/p0.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00356_source.html">dune/localfunctions/lagrange/p0.hh</a>&gt;</code></p>
86 <table·class="memberdecls">86 <table·class="memberdecls">
87 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>87 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>
88 Public·Types</h2></td></tr>88 Public·Types</h2></td></tr>
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80 ··<div·class="headertitle"><div·class="title">Dune::P0LocalBasis&lt;·D,·R,·d·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::P0LocalBasis&lt;·D,·R,·d·&gt;·Class·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Constant·shape·function.··83 <p>Constant·shape·function.··
84 ·<a·href="a01953.html#details">More...</a></p>84 ·<a·href="a01953.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00101_source.html">dune/localfunctions/lagrange/p0/p0localbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00365_source.html">dune/localfunctions/lagrange/p0/p0localbasis.hh</a>&gt;</code></p>
86 <table·class="memberdecls">86 <table·class="memberdecls">
87 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>87 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>
88 Public·Types</h2></td></tr>88 Public·Types</h2></td></tr>
89 <tr·class="memitem:aede0b6b49a908b61406f18e2fb674af6"·id="r_aede0b6b49a908b61406f18e2fb674af6"><td·class="memItemLeft"·align="right"·valign="top">typedef·<a·class="el"·href="a01577.html">LocalBasisTraits</a>&lt;·D,·d,·Dune::FieldVector&lt;·D,·d·&gt;,·R,·1,·Dune::FieldVector&lt;·R,·1·&gt;,·Dune::FieldMatrix&lt;·R,·1,·d·&gt;·&gt;&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a01953.html#aede0b6b49a908b61406f18e2fb674af6">Traits</a></td></tr>89 <tr·class="memitem:aede0b6b49a908b61406f18e2fb674af6"·id="r_aede0b6b49a908b61406f18e2fb674af6"><td·class="memItemLeft"·align="right"·valign="top">typedef·<a·class="el"·href="a01577.html">LocalBasisTraits</a>&lt;·D,·d,·Dune::FieldVector&lt;·D,·d·&gt;,·R,·1,·Dune::FieldVector&lt;·R,·1·&gt;,·Dune::FieldMatrix&lt;·R,·1,·d·&gt;·&gt;&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a01953.html#aede0b6b49a908b61406f18e2fb674af6">Traits</a></td></tr>
90 <tr·class="memdesc:aede0b6b49a908b61406f18e2fb674af6"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">export·type·traits·for·function·signature··<br·/></td></tr>90 <tr·class="memdesc:aede0b6b49a908b61406f18e2fb674af6"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">export·type·traits·for·function·signature··<br·/></td></tr>
91 <tr·class="separator:aede0b6b49a908b61406f18e2fb674af6"><td·class="memSeparator"·colspan="2">&#160;</td></tr>91 <tr·class="separator:aede0b6b49a908b61406f18e2fb674af6"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
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80 ··<div·class="headertitle"><div·class="title">Dune::P0LocalCoefficients·Class·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::P0LocalCoefficients·Class·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Layout·map·for·P0·elements.··83 <p>Layout·map·for·P0·elements.··
84 ·<a·href="a01957.html#details">More...</a></p>84 ·<a·href="a01957.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00095_source.html">dune/localfunctions/lagrange/p0/p0localcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00368_source.html">dune/localfunctions/lagrange/p0/p0localcoefficients.hh</a>&gt;</code></p>
86 <div·class="dynheader">86 <div·class="dynheader">
87 Inheritance·diagram·for·Dune::P0LocalCoefficients:</div>87 Inheritance·diagram·for·Dune::P0LocalCoefficients:</div>
88 <div·class="dyncontent">88 <div·class="dyncontent">
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76 ··<div·class="summary">76 ··<div·class="summary">
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78 <a·href="a01958.html">List·of·all·members</a>··</div>78 <a·href="a01958.html">List·of·all·members</a>··</div>
79 ··<div·class="headertitle"><div·class="title">Dune::P0LocalInterpolation&lt;·LB·&gt;·Class·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::P0LocalInterpolation&lt;·LB·&gt;·Class·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p><code>#include·&lt;<a·class="el"·href="a00098_source.html">dune/localfunctions/lagrange/p0/p0localinterpolation.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00362_source.html">dune/localfunctions/lagrange/p0/p0localinterpolation.hh</a>&gt;</code></p>
83 <div·class="dynheader">83 <div·class="dynheader">
84 Inheritance·diagram·for·Dune::P0LocalInterpolation&lt;·LB·&gt;:</div>84 Inheritance·diagram·for·Dune::P0LocalInterpolation&lt;·LB·&gt;:</div>
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85 <p><code>#include·&lt;<a·class="el"·href="a00068_source.html">dune/localfunctions/lagrange/pqkfactory.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00374_source.html">dune/localfunctions/lagrange/pqkfactory.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00068_source.html">dune/localfunctions/lagrange/pqkfactory.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00374_source.html">dune/localfunctions/lagrange/pqkfactory.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00068_source.html">dune/localfunctions/lagrange/pqkfactory.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00374_source.html">dune/localfunctions/lagrange/pqkfactory.hh</a>&gt;</code></p>
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83 </div><!--header-->83 </div><!--header-->
84 <div·class="contents">84 <div·class="contents">
  
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86 ·<a·href="a02005.html#details">More...</a></p>86 ·<a·href="a02005.html#details">More...</a></p>
  
87 <p><code>#include·&lt;<a·class="el"·href="a00068_source.html">dune/localfunctions/lagrange/pqkfactory.hh</a>&gt;</code></p>87 <p><code>#include·&lt;<a·class="el"·href="a00374_source.html">dune/localfunctions/lagrange/pqkfactory.hh</a>&gt;</code></p>
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83 <p>Factory·for·global-valued·Q1·elements.··83 <p>Factory·for·global-valued·Q1·elements.··
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85 <p><code>#include·&lt;<a·class="el"·href="a00116_source.html">dune/localfunctions/lagrange/q1.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00425_source.html">dune/localfunctions/lagrange/q1.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00128_source.html">dune/localfunctions/lagrange/q2.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00359_source.html">dune/localfunctions/lagrange/q2.hh</a>&gt;</code></p>
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84 <p><code>#include·&lt;<a·class="el"·href="a00461_source.html">dune/localfunctions/meta/power.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00113_source.html">dune/localfunctions/meta/power.hh</a>&gt;</code></p>
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82 <p>Access·output·vector·of·evaluateJacobian()··82 <p>Access·output·vector·of·evaluateJacobian()··
83 ·<a·href="a02077.html#details">More...</a></p>83 ·<a·href="a02077.html#details">More...</a></p>
  
84 <p><code>#include·&lt;<a·class="el"·href="a00158_source.html">dune/localfunctions/monomial/monomiallocalbasis.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00146_source.html">dune/localfunctions/monomial/monomiallocalbasis.hh</a>&gt;</code></p>
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87 Public·Member·Functions</h2></td></tr>87 Public·Member·Functions</h2></td></tr>
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79 <a·href="a02078.html">List·of·all·members</a>··</div>79 <a·href="a02078.html">List·of·all·members</a>··</div>
80 ··<div·class="headertitle"><div·class="title">Dune::MonomImp::Evaluate&lt;·Traits,·c·&gt;·Struct·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::MonomImp::Evaluate&lt;·Traits,·c·&gt;·Struct·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p><code>#include·&lt;<a·class="el"·href="a00158_source.html">dune/localfunctions/monomial/monomiallocalbasis.hh</a>&gt;</code></p>83 <p><code>#include·&lt;<a·class="el"·href="a00146_source.html">dune/localfunctions/monomial/monomiallocalbasis.hh</a>&gt;</code></p>
84 <table·class="memberdecls">84 <table·class="memberdecls">
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86 Static·Public·Member·Functions</h2></td></tr>86 Static·Public·Member·Functions</h2></td></tr>
87 <tr·class="memitem:aefd7dfdb97b8c33ea7ebdc33a96768bf"·id="r_aefd7dfdb97b8c33ea7ebdc33a96768bf"><td·class="memTemplParams"·colspan="2">template&lt;typename·Access·&gt;·</td></tr>87 <tr·class="memitem:aefd7dfdb97b8c33ea7ebdc33a96768bf"·id="r_aefd7dfdb97b8c33ea7ebdc33a96768bf"><td·class="memTemplParams"·colspan="2">template&lt;typename·Access·&gt;·</td></tr>
88 <tr·class="memitem:aefd7dfdb97b8c33ea7ebdc33a96768bf"><td·class="memTemplItemLeft"·align="right"·valign="top">static·void&#160;</td><td·class="memTemplItemRight"·valign="bottom"><a·class="el"·href="a02081.html#aefd7dfdb97b8c33ea7ebdc33a96768bf">eval</a>·(const·typename·Traits::DomainType·&amp;in,·const·std::array&lt;·unsigned·int,·Traits::dimDomain·&gt;·&amp;derivatives,·typename·Traits::RangeFieldType·prod,·int·bound,·int·&amp;index,·Access·&amp;access)</td></tr>88 <tr·class="memitem:aefd7dfdb97b8c33ea7ebdc33a96768bf"><td·class="memTemplItemLeft"·align="right"·valign="top">static·void&#160;</td><td·class="memTemplItemRight"·valign="bottom"><a·class="el"·href="a02081.html#aefd7dfdb97b8c33ea7ebdc33a96768bf">eval</a>·(const·typename·Traits::DomainType·&amp;in,·const·std::array&lt;·unsigned·int,·Traits::dimDomain·&gt;·&amp;derivatives,·typename·Traits::RangeFieldType·prod,·int·bound,·int·&amp;index,·Access·&amp;access)</td></tr>
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80 ··<div·class="headertitle"><div·class="title">Dune::MonomImp::Evaluate&lt;·Traits,·1·&gt;·Struct·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::MonomImp::Evaluate&lt;·Traits,·1·&gt;·Struct·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>·83 <p>·
84 ·<a·href="a02085.html#details">More...</a></p>84 ·<a·href="a02085.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00158_source.html">dune/localfunctions/monomial/monomiallocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00146_source.html">dune/localfunctions/monomial/monomiallocalbasis.hh</a>&gt;</code></p>
86 <table·class="memberdecls">86 <table·class="memberdecls">
87 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-static-methods"·name="pub-static-methods"></a>87 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-static-methods"·name="pub-static-methods"></a>
88 Static·Public·Member·Functions</h2></td></tr>88 Static·Public·Member·Functions</h2></td></tr>
89 <tr·class="memitem:adb725fe6a53ce7d9b44683658b02fd22"·id="r_adb725fe6a53ce7d9b44683658b02fd22"><td·class="memTemplParams"·colspan="2">template&lt;typename·Access·&gt;·</td></tr>89 <tr·class="memitem:adb725fe6a53ce7d9b44683658b02fd22"·id="r_adb725fe6a53ce7d9b44683658b02fd22"><td·class="memTemplParams"·colspan="2">template&lt;typename·Access·&gt;·</td></tr>
90 <tr·class="memitem:adb725fe6a53ce7d9b44683658b02fd22"><td·class="memTemplItemLeft"·align="right"·valign="top">static·void&#160;</td><td·class="memTemplItemRight"·valign="bottom"><a·class="el"·href="a02085.html#adb725fe6a53ce7d9b44683658b02fd22">eval</a>·(const·typename·Traits::DomainType·&amp;in,·const·std::array&lt;·unsigned·int,·Traits::dimDomain·&gt;·&amp;derivatives,·typename·Traits::RangeFieldType·prod,·int·bound,·int·&amp;index,·Access·&amp;access)</td></tr>90 <tr·class="memitem:adb725fe6a53ce7d9b44683658b02fd22"><td·class="memTemplItemLeft"·align="right"·valign="top">static·void&#160;</td><td·class="memTemplItemRight"·valign="bottom"><a·class="el"·href="a02085.html#adb725fe6a53ce7d9b44683658b02fd22">eval</a>·(const·typename·Traits::DomainType·&amp;in,·const·std::array&lt;·unsigned·int,·Traits::dimDomain·&gt;·&amp;derivatives,·typename·Traits::RangeFieldType·prod,·int·bound,·int·&amp;index,·Access·&amp;access)</td></tr>
91 <tr·class="separator:adb725fe6a53ce7d9b44683658b02fd22"><td·class="memSeparator"·colspan="2">&#160;</td></tr>91 <tr·class="separator:adb725fe6a53ce7d9b44683658b02fd22"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
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81 ··<div·class="headertitle"><div·class="title">Dune::MonomialLocalBasis&lt;·D,·R,·d,·p·&gt;·Class·Template·Reference</div></div>81 ··<div·class="headertitle"><div·class="title">Dune::MonomialLocalBasis&lt;·D,·R,·d,·p·&gt;·Class·Template·Reference</div></div>
82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
84 <p>Constant·shape·function.··84 <p>Constant·shape·function.··
85 ·<a·href="a02089.html#details">More...</a></p>85 ·<a·href="a02089.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00158_source.html">dune/localfunctions/monomial/monomiallocalbasis.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00146_source.html">dune/localfunctions/monomial/monomiallocalbasis.hh</a>&gt;</code></p>
87 <table·class="memberdecls">87 <table·class="memberdecls">
88 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>88 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>
89 Public·Types</h2></td></tr>89 Public·Types</h2></td></tr>
90 <tr·class="memitem:ade322af90abe433482e366ced86697d9"·id="r_ade322af90abe433482e366ced86697d9"><td·class="memItemLeft"·align="right"·valign="top">typedef·<a·class="el"·href="a01577.html">LocalBasisTraits</a>&lt;·D,·d,·Dune::FieldVector&lt;·D,·d·&gt;,·R,·1,·Dune::FieldVector&lt;·R,·1·&gt;,·Dune::FieldMatrix&lt;·R,·1,·d·&gt;·&gt;&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02089.html#ade322af90abe433482e366ced86697d9">Traits</a></td></tr>90 <tr·class="memitem:ade322af90abe433482e366ced86697d9"·id="r_ade322af90abe433482e366ced86697d9"><td·class="memItemLeft"·align="right"·valign="top">typedef·<a·class="el"·href="a01577.html">LocalBasisTraits</a>&lt;·D,·d,·Dune::FieldVector&lt;·D,·d·&gt;,·R,·1,·Dune::FieldVector&lt;·R,·1·&gt;,·Dune::FieldMatrix&lt;·R,·1,·d·&gt;·&gt;&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02089.html#ade322af90abe433482e366ced86697d9">Traits</a></td></tr>
91 <tr·class="memdesc:ade322af90abe433482e366ced86697d9"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">export·type·traits·for·function·signature··<br·/></td></tr>91 <tr·class="memdesc:ade322af90abe433482e366ced86697d9"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">export·type·traits·for·function·signature··<br·/></td></tr>
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80 ··<div·class="headertitle"><div·class="title">Dune::MonomialLocalCoefficients&lt;·static_size·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::MonomialLocalCoefficients&lt;·static_size·&gt;·Class·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Layout·map·for·monomial·finite·elements.··83 <p>Layout·map·for·monomial·finite·elements.··
84 ·<a·href="a02093.html#details">More...</a></p>84 ·<a·href="a02093.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00161_source.html">dune/localfunctions/monomial/monomiallocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00143_source.html">dune/localfunctions/monomial/monomiallocalcoefficients.hh</a>&gt;</code></p>
86 <div·class="dynheader">86 <div·class="dynheader">
87 Inheritance·diagram·for·Dune::MonomialLocalCoefficients&lt;·static_size·&gt;:</div>87 Inheritance·diagram·for·Dune::MonomialLocalCoefficients&lt;·static_size·&gt;:</div>
88 <div·class="dyncontent">88 <div·class="dyncontent">
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79 ··<div·class="headertitle"><div·class="title">Dune::MonomialLocalInterpolation&lt;·LB,·size·&gt;·Class·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::MonomialLocalInterpolation&lt;·LB,·size·&gt;·Class·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p><code>#include·&lt;<a·class="el"·href="a00155_source.html">dune/localfunctions/monomial/monomiallocalinterpolation.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00149_source.html">dune/localfunctions/monomial/monomiallocalinterpolation.hh</a>&gt;</code></p>
83 <div·class="dynheader">83 <div·class="dynheader">
84 Inheritance·diagram·for·Dune::MonomialLocalInterpolation&lt;·LB,·size·&gt;:</div>84 Inheritance·diagram·for·Dune::MonomialLocalInterpolation&lt;·LB,·size·&gt;:</div>
85 <div·class="dyncontent">85 <div·class="dyncontent">
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81 ··<div·class="headertitle"><div·class="title">Dune::Nedelec1stKindCubeLocalFiniteElement&lt;·D,·R,·dim,·k·&gt;·Class·Template·Reference</div></div>81 ··<div·class="headertitle"><div·class="title">Dune::Nedelec1stKindCubeLocalFiniteElement&lt;·D,·R,·dim,·k·&gt;·Class·Template·Reference</div></div>
82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
84 <p>Nédélec·elements·of·the·first·kind·for·cube·elements.··84 <p>Nédélec·elements·of·the·first·kind·for·cube·elements.··
85 ·<a·href="a02113.html#details">More...</a></p>85 ·<a·href="a02113.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00542_source.html">dune/localfunctions/nedelec/nedelec1stkindcube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00128_source.html">dune/localfunctions/nedelec/nedelec1stkindcube.hh</a>&gt;</code></p>
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89 Public·Types</h2></td></tr>89 Public·Types</h2></td></tr>
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79 ··<div·class="headertitle"><div·class="title">Dune::RannacherTurekLocalCoefficients&lt;·d·&gt;·Struct·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::RannacherTurekLocalCoefficients&lt;·d·&gt;·Struct·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p>layout·for·Rannacher-Turek·elements··82 <p>layout·for·Rannacher-Turek·elements··
83 ·<a·href="a02229.html#details">More...</a></p>83 ·<a·href="a02229.html#details">More...</a></p>
  
84 <p><code>#include·&lt;<a·class="el"·href="a00554_source.html">dune/localfunctions/rannacherturek/rannachertureklocalcoefficients.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00161_source.html">dune/localfunctions/rannacherturek/rannachertureklocalcoefficients.hh</a>&gt;</code></p>
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79 ··<div·class="headertitle"><div·class="title">Dune::RannacherTurekLocalInterpolation&lt;·D,·R,·d·&gt;·Class·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::RannacherTurekLocalInterpolation&lt;·D,·R,·d·&gt;·Class·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p>please·doc·me··82 <p>please·doc·me··
83 ·<a·href="a02233.html#details">More...</a></p>83 ·<a·href="a02233.html#details">More...</a></p>
  
84 <p><code>#include·&lt;<a·class="el"·href="a00560_source.html">dune/localfunctions/rannacherturek/rannachertureklocalinterpolation.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00164_source.html">dune/localfunctions/rannacherturek/rannachertureklocalinterpolation.hh</a>&gt;</code></p>
85 <table·class="memberdecls">85 <table·class="memberdecls">
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87 Public·Member·Functions</h2></td></tr>87 Public·Member·Functions</h2></td></tr>
88 <tr·class="memitem:a16e167fed6e1ceb9b8ff5e3dff9917f0"·id="r_a16e167fed6e1ceb9b8ff5e3dff9917f0"><td·class="memTemplParams"·colspan="2">template&lt;class·F·,·class·C·&gt;·</td></tr>88 <tr·class="memitem:a16e167fed6e1ceb9b8ff5e3dff9917f0"·id="r_a16e167fed6e1ceb9b8ff5e3dff9917f0"><td·class="memTemplParams"·colspan="2">template&lt;class·F·,·class·C·&gt;·</td></tr>
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90 <tr·class="separator:a16e167fed6e1ceb9b8ff5e3dff9917f0"><td·class="memSeparator"·colspan="2">&#160;</td></tr>90 <tr·class="separator:a16e167fed6e1ceb9b8ff5e3dff9917f0"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
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83 <div·class="contents">83 <div·class="contents">
  
84 <p><a·class="el"·href="a02681.html"·title="A·class·representing·the·zero·of·a·given·Field.">Zero</a>·order·Raviart-Thomas·shape·functions·on·triangles.··84 <p><a·class="el"·href="a02681.html"·title="A·class·representing·the·zero·of·a·given·Field.">Zero</a>·order·Raviart-Thomas·shape·functions·on·triangles.··
85 ·<a·href="a02237.html#details">More...</a></p>85 ·<a·href="a02237.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00191_source.html">dune/localfunctions/raviartthomas/raviartthomas02d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00263_source.html">dune/localfunctions/raviartthomas/raviartthomas02d.hh</a>&gt;</code></p>
87 <table·class="memberdecls">87 <table·class="memberdecls">
88 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>88 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-types"·name="pub-types"></a>
89 Public·Types</h2></td></tr>89 Public·Types</h2></td></tr>
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81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Lowest·order·Raviart-Thomas·shape·functions·on·the·reference·triangle.··83 <p>Lowest·order·Raviart-Thomas·shape·functions·on·the·reference·triangle.··
84 ·<a·href="a02241.html#details">More...</a></p>84 ·<a·href="a02241.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00200_source.html">dune/localfunctions/raviartthomas/raviartthomas02d/raviartthomas02dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00221_source.html">dune/localfunctions/raviartthomas/raviartthomas02d/raviartthomas02dlocalbasis.hh</a>&gt;</code></p>
86 <table·class="memberdecls">86 <table·class="memberdecls">
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88 Public·Types</h2></td></tr>88 Public·Types</h2></td></tr>
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81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Layout·map·for·RT0·elements.··83 <p>Layout·map·for·RT0·elements.··
84 ·<a·href="a02245.html#details">More...</a></p>84 ·<a·href="a02245.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00194_source.html">dune/localfunctions/raviartthomas/raviartthomas02d/raviartthomas02dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00224_source.html">dune/localfunctions/raviartthomas/raviartthomas02d/raviartthomas02dlocalcoefficients.hh</a>&gt;</code></p>
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80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p><code>#include·&lt;<a·class="el"·href="a00197_source.html">dune/localfunctions/raviartthomas/raviartthomas02d/raviartthomas02dlocalinterpolation.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00218_source.html">dune/localfunctions/raviartthomas/raviartthomas02d/raviartthomas02dlocalinterpolation.hh</a>&gt;</code></p>
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82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
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85 ·<a·href="a02253.html#details">More...</a></p>85 ·<a·href="a02253.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00230_source.html">dune/localfunctions/raviartthomas/raviartthomas03d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00317_source.html">dune/localfunctions/raviartthomas/raviartthomas03d.hh</a>&gt;</code></p>
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82 <div·class="contents">82 <div·class="contents">
  
83 <p>Lowest·order·Raviart-Thomas·shape·functions·on·the·reference·tetrahedron.··83 <p>Lowest·order·Raviart-Thomas·shape·functions·on·the·reference·tetrahedron.··
84 ·<a·href="a02257.html#details">More...</a></p>84 ·<a·href="a02257.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00218_source.html">dune/localfunctions/raviartthomas/raviartthomas03d/raviartthomas03dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00248_source.html">dune/localfunctions/raviartthomas/raviartthomas03d/raviartthomas03dlocalbasis.hh</a>&gt;</code></p>
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83 <p>Layout·map·for·RT0·elements.··83 <p>Layout·map·for·RT0·elements.··
84 ·<a·href="a02261.html#details">More...</a></p>84 ·<a·href="a02261.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00224_source.html">dune/localfunctions/raviartthomas/raviartthomas03d/raviartthomas03dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00251_source.html">dune/localfunctions/raviartthomas/raviartthomas03d/raviartthomas03dlocalcoefficients.hh</a>&gt;</code></p>
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82 <p><code>#include·&lt;<a·class="el"·href="a00221_source.html">dune/localfunctions/raviartthomas/raviartthomas03d/raviartthomas03dlocalinterpolation.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00254_source.html">dune/localfunctions/raviartthomas/raviartthomas03d/raviartthomas03dlocalinterpolation.hh</a>&gt;</code></p>
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85 ·<a·href="a02269.html#details">More...</a></p>85 ·<a·href="a02269.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00281_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube2d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00170_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube2d.hh</a>&gt;</code></p>
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80 ··<div·class="headertitle"><div·class="title">Dune::RT0Cube2DLocalBasis&lt;·D,·R·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::RT0Cube2DLocalBasis&lt;·D,·R·&gt;·Class·Template·Reference</div></div>
81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Lowest·order·Raviart-Thomas·shape·functions·on·the·reference·quadrilateral.··83 <p>Lowest·order·Raviart-Thomas·shape·functions·on·the·reference·quadrilateral.··
84 ·<a·href="a02273.html#details">More...</a></p>84 ·<a·href="a02273.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00242_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube2d/raviartthomas0cube2dall.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00212_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube2d/raviartthomas0cube2dall.hh</a>&gt;</code></p>
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88 Public·Types</h2></td></tr>88 Public·Types</h2></td></tr>
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82 <p>Lowest·order·Raviart-Thomas·shape·functions·on·the·reference·quadrilateral.··82 <p>Lowest·order·Raviart-Thomas·shape·functions·on·the·reference·quadrilateral.··
83 ·<a·href="a02277.html#details">More...</a></p>83 ·<a·href="a02277.html#details">More...</a></p>
  
84 <p><code>#include·&lt;<a·class="el"·href="a00242_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube2d/raviartthomas0cube2dall.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00212_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube2d/raviartthomas0cube2dall.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00242_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube2d/raviartthomas0cube2dall.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00212_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube2d/raviartthomas0cube2dall.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00167_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube3d/raviartthomas0cube3dall.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00278_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube3d/raviartthomas0cube3dall.hh</a>&gt;</code></p>
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83 ·<a·href="a02293.html#details">More...</a></p>83 ·<a·href="a02293.html#details">More...</a></p>
  
84 <p><code>#include·&lt;<a·class="el"·href="a00167_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube3d/raviartthomas0cube3dall.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00278_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube3d/raviartthomas0cube3dall.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00167_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube3d/raviartthomas0cube3dall.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00278_source.html">dune/localfunctions/raviartthomas/raviartthomas0cube3d/raviartthomas0cube3dall.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00188_source.html">dune/localfunctions/raviartthomas/raviartthomas0prism.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00227_source.html">dune/localfunctions/raviartthomas/raviartthomas0prism.hh</a>&gt;</code></p>
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84 ·<a·href="a02305.html#details">More...</a></p>84 ·<a·href="a02305.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00305_source.html">dune/localfunctions/raviartthomas/raviartthomas0prism/raviartthomas0prismlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00269_source.html">dune/localfunctions/raviartthomas/raviartthomas0prism/raviartthomas0prismlocalbasis.hh</a>&gt;</code></p>
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84 ·<a·href="a02309.html#details">More...</a></p>84 ·<a·href="a02309.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00308_source.html">dune/localfunctions/raviartthomas/raviartthomas0prism/raviartthomas0prismlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00272_source.html">dune/localfunctions/raviartthomas/raviartthomas0prism/raviartthomas0prismlocalcoefficients.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00245_source.html">dune/localfunctions/raviartthomas/raviartthomas12d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00296_source.html">dune/localfunctions/raviartthomas/raviartthomas12d.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00176_source.html">dune/localfunctions/raviartthomas/raviartthomas12d/raviartthomas12dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00311_source.html">dune/localfunctions/raviartthomas/raviartthomas12d/raviartthomas12dlocalbasis.hh</a>&gt;</code></p>
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83 ·<a·href="a02341.html#details">More...</a></p>83 ·<a·href="a02341.html#details">More...</a></p>
  
84 <p><code>#include·&lt;<a·class="el"·href="a00170_source.html">dune/localfunctions/raviartthomas/raviartthomas12d/raviartthomas12dlocalcoefficients.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00308_source.html">dune/localfunctions/raviartthomas/raviartthomas12d/raviartthomas12dlocalcoefficients.hh</a>&gt;</code></p>
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84 <p><code>#include·&lt;<a·class="el"·href="a00173_source.html">dune/localfunctions/raviartthomas/raviartthomas12d/raviartthomas12dlocalinterpolation.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00314_source.html">dune/localfunctions/raviartthomas/raviartthomas12d/raviartthomas12dlocalinterpolation.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00209_source.html">dune/localfunctions/raviartthomas/raviartthomas1cube2d/raviartthomas1cube2dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00239_source.html">dune/localfunctions/raviartthomas/raviartthomas1cube2d/raviartthomas1cube2dlocalcoefficients.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00254_source.html">dune/localfunctions/raviartthomas/raviartthomas1cube3d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00191_source.html">dune/localfunctions/raviartthomas/raviartthomas1cube3d.hh</a>&gt;</code></p>
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84 ·<a·href="a02369.html#details">More...</a></p>84 ·<a·href="a02369.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00296_source.html">dune/localfunctions/raviartthomas/raviartthomas1cube3d/raviartthomas1cube3dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00233_source.html">dune/localfunctions/raviartthomas/raviartthomas1cube3d/raviartthomas1cube3dlocalbasis.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00299_source.html">dune/localfunctions/raviartthomas/raviartthomas1cube3d/raviartthomas1cube3dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00230_source.html">dune/localfunctions/raviartthomas/raviartthomas1cube3d/raviartthomas1cube3dlocalcoefficients.hh</a>&gt;</code></p>
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84 <p><code>#include·&lt;<a·class="el"·href="a00293_source.html">dune/localfunctions/raviartthomas/raviartthomas1cube3d/raviartthomas1cube3dlocalinterpolation.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00236_source.html">dune/localfunctions/raviartthomas/raviartthomas1cube3d/raviartthomas1cube3dlocalinterpolation.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00275_source.html">dune/localfunctions/raviartthomas/raviartthomas2cube2d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00179_source.html">dune/localfunctions/raviartthomas/raviartthomas2cube2d.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00182_source.html">dune/localfunctions/raviartthomas/raviartthomas2cube2d/raviartthomas2cube2dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00188_source.html">dune/localfunctions/raviartthomas/raviartthomas2cube2d/raviartthomas2cube2dlocalbasis.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00179_source.html">dune/localfunctions/raviartthomas/raviartthomas2cube2d/raviartthomas2cube2dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00185_source.html">dune/localfunctions/raviartthomas/raviartthomas2cube2d/raviartthomas2cube2dlocalcoefficients.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00248_source.html">dune/localfunctions/raviartthomas/raviartthomas3cube2d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00266_source.html">dune/localfunctions/raviartthomas/raviartthomas3cube2d.hh</a>&gt;</code></p>
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80 ··<div·class="headertitle"><div·class="title">Dune::RT3Cube2DLocalBasis&lt;·D,·R·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::RT3Cube2DLocalBasis&lt;·D,·R·&gt;·Class·Template·Reference</div></div>
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84 ·<a·href="a02401.html#details">More...</a></p>84 ·<a·href="a02401.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00284_source.html">dune/localfunctions/raviartthomas/raviartthomas3cube2d/raviartthomas3cube2dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00302_source.html">dune/localfunctions/raviartthomas/raviartthomas3cube2d/raviartthomas3cube2dlocalbasis.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00290_source.html">dune/localfunctions/raviartthomas/raviartthomas3cube2d/raviartthomas3cube2dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00305_source.html">dune/localfunctions/raviartthomas/raviartthomas3cube2d/raviartthomas3cube2dlocalcoefficients.hh</a>&gt;</code></p>
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84 <p><code>#include·&lt;<a·class="el"·href="a00287_source.html">dune/localfunctions/raviartthomas/raviartthomas3cube2d/raviartthomas3cube2dlocalinterpolation.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00299_source.html">dune/localfunctions/raviartthomas/raviartthomas3cube2d/raviartthomas3cube2dlocalinterpolation.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00227_source.html">dune/localfunctions/raviartthomas/raviartthomas4cube2d.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00257_source.html">dune/localfunctions/raviartthomas/raviartthomas4cube2d.hh</a>&gt;</code></p>
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85 <p><code>#include·&lt;<a·class="el"·href="a00239_source.html">dune/localfunctions/raviartthomas/raviartthomas4cube2d/raviartthomas4cube2dlocalbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00203_source.html">dune/localfunctions/raviartthomas/raviartthomas4cube2d/raviartthomas4cube2dlocalbasis.hh</a>&gt;</code></p>
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80 ··<div·class="headertitle"><div·class="title">Dune::RT4Cube2DLocalCoefficients·Class·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::RT4Cube2DLocalCoefficients·Class·Reference</div></div>
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84 ·<a·href="a02421.html#details">More...</a></p>84 ·<a·href="a02421.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00233_source.html">dune/localfunctions/raviartthomas/raviartthomas4cube2d/raviartthomas4cube2dlocalcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00206_source.html">dune/localfunctions/raviartthomas/raviartthomas4cube2d/raviartthomas4cube2dlocalcoefficients.hh</a>&gt;</code></p>
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79 ··<div·class="headertitle"><div·class="title">Dune::RT4Cube2DLocalInterpolation&lt;·LB·&gt;·Class·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::RT4Cube2DLocalInterpolation&lt;·LB·&gt;·Class·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p>Second·order·Raviart-Thomas·shape·functions·on·the·reference·triangle.··82 <p>Second·order·Raviart-Thomas·shape·functions·on·the·reference·triangle.··
83 ·<a·href="a02425.html#details">More...</a></p>83 ·<a·href="a02425.html#details">More...</a></p>
  
84 <p><code>#include·&lt;<a·class="el"·href="a00236_source.html">dune/localfunctions/raviartthomas/raviartthomas4cube2d/raviartthomas4cube2dlocalinterpolation.hh</a>&gt;</code></p>84 <p><code>#include·&lt;<a·class="el"·href="a00209_source.html">dune/localfunctions/raviartthomas/raviartthomas4cube2d/raviartthomas4cube2dlocalinterpolation.hh</a>&gt;</code></p>
85 <div·class="dynheader">85 <div·class="dynheader">
86 Inheritance·diagram·for·Dune::RT4Cube2DLocalInterpolation&lt;·LB·&gt;:</div>86 Inheritance·diagram·for·Dune::RT4Cube2DLocalInterpolation&lt;·LB·&gt;:</div>
87 <div·class="dyncontent">87 <div·class="dyncontent">
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81 ··<div·class="headertitle"><div·class="title">Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·0·&gt;·Class·Template·Reference</div></div>81 ··<div·class="headertitle"><div·class="title">Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·0·&gt;·Class·Template·Reference</div></div>
82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
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85 ·<a·href="a02433.html#details">More...</a></p>85 ·<a·href="a02433.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00251_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00176_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>
87 <div·class="dynheader">87 <div·class="dynheader">
88 Inheritance·diagram·for·Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·0·&gt;:</div>88 Inheritance·diagram·for·Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·0·&gt;:</div>
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81 ··<div·class="headertitle"><div·class="title">Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·1·&gt;·Class·Template·Reference</div></div>81 ··<div·class="headertitle"><div·class="title">Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·1·&gt;·Class·Template·Reference</div></div>
82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
84 <p>Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and·order·1.··84 <p>Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and·order·1.··
85 ·<a·href="a02437.html#details">More...</a></p>85 ·<a·href="a02437.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00251_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00176_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>
87 <div·class="dynheader">87 <div·class="dynheader">
88 Inheritance·diagram·for·Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·1·&gt;:</div>88 Inheritance·diagram·for·Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·1·&gt;:</div>
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81 ··<div·class="headertitle"><div·class="title">Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·2·&gt;·Class·Template·Reference</div></div>81 ··<div·class="headertitle"><div·class="title">Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·2·&gt;·Class·Template·Reference</div></div>
82 </div><!--header-->82 </div><!--header-->
83 <div·class="contents">83 <div·class="contents">
  
84 <p>Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and·order·2.··84 <p>Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and·order·2.··
85 ·<a·href="a02441.html#details">More...</a></p>85 ·<a·href="a02441.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00251_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00176_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>
87 <div·class="dynheader">87 <div·class="dynheader">
88 Inheritance·diagram·for·Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·2·&gt;:</div>88 Inheritance·diagram·for·Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·2·&gt;:</div>
89 <div·class="dyncontent">89 <div·class="dyncontent">
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81 ··<div·class="headertitle"><div·class="title">Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·3·&gt;·Class·Template·Reference</div></div>81 ··<div·class="headertitle"><div·class="title">Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·3·&gt;·Class·Template·Reference</div></div>
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83 <div·class="contents">83 <div·class="contents">
  
84 <p>Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and·order·3.··84 <p>Raviart-Thomas·local·finite·elements·for·cubes·with·dimension·2·and·order·3.··
85 ·<a·href="a02445.html#details">More...</a></p>85 ·<a·href="a02445.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00251_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00176_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>
87 <div·class="dynheader">87 <div·class="dynheader">
88 Inheritance·diagram·for·Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·3·&gt;:</div>88 Inheritance·diagram·for·Dune::RaviartThomasCubeLocalFiniteElement&lt;·D,·R,·2,·3·&gt;:</div>
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85 ·<a·href="a02449.html#details">More...</a></p>85 ·<a·href="a02449.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00251_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00176_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>
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85 ·<a·href="a02453.html#details">More...</a></p>85 ·<a·href="a02453.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00251_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00176_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>
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85 ·<a·href="a02457.html#details">More...</a></p>85 ·<a·href="a02457.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00251_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00176_source.html">dune/localfunctions/raviartthomas/raviartthomascube.hh</a>&gt;</code></p>
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85 ·<a·href="a02485.html#details">More...</a></p>85 ·<a·href="a02485.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00164_source.html">dune/localfunctions/raviartthomas/raviartthomassimplex.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00260_source.html">dune/localfunctions/raviartthomas/raviartthomassimplex.hh</a>&gt;</code></p>
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83 <p><code>#include·&lt;<a·class="el"·href="a00263_source.html">dune/localfunctions/raviartthomas/raviartthomassimplex/raviartthomassimplexinterpolation.hh</a>&gt;</code></p>83 <p><code>#include·&lt;<a·class="el"·href="a00287_source.html">dune/localfunctions/raviartthomas/raviartthomassimplex/raviartthomassimplexinterpolation.hh</a>&gt;</code></p>
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86 <p><code>#include·&lt;<a·class="el"·href="a00524_source.html">dune/localfunctions/refined/refinedp0.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00347_source.html">dune/localfunctions/refined/refinedp0.hh</a>&gt;</code></p>
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85 ·<a·href="a02553.html#details">More...</a></p>85 ·<a·href="a02553.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00524_source.html">dune/localfunctions/refined/refinedp0.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00347_source.html">dune/localfunctions/refined/refinedp0.hh</a>&gt;</code></p>
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81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Uniformly·refined·constant·shape·functions·on·a·unit·simplex·in·R^dim.··83 <p>Uniformly·refined·constant·shape·functions·on·a·unit·simplex·in·R^dim.··
84 ·<a·href="a02557.html#details">More...</a></p>84 ·<a·href="a02557.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00515_source.html">dune/localfunctions/refined/refinedp0/refinedp0localbasis.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00332_source.html">dune/localfunctions/refined/refinedp0/refinedp0localbasis.hh</a>&gt;</code></p>
86 <div·class="dynheader">86 <div·class="dynheader">
87 Inheritance·diagram·for·Dune::RefinedP0LocalBasis&lt;·D,·R,·dim·&gt;:</div>87 Inheritance·diagram·for·Dune::RefinedP0LocalBasis&lt;·D,·R,·dim·&gt;:</div>
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81 </div><!--header-->81 </div><!--header-->
82 <div·class="contents">82 <div·class="contents">
  
83 <p>Layout·map·for·RefinedP0·elements.··83 <p>Layout·map·for·RefinedP0·elements.··
84 ·<a·href="a02561.html#details">More...</a></p>84 ·<a·href="a02561.html#details">More...</a></p>
  
85 <p><code>#include·&lt;<a·class="el"·href="a00512_source.html">dune/localfunctions/refined/refinedp0/refinedp0localcoefficients.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a00329_source.html">dune/localfunctions/refined/refinedp0/refinedp0localcoefficients.hh</a>&gt;</code></p>
86 <div·class="dynheader">86 <div·class="dynheader">
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76 ··<div·class="headertitle"><div·class="title">Dune::RefinedP0LocalInterpolation&lt;·LB·&gt;·Class·Template·Reference</div></div>76 ··<div·class="headertitle"><div·class="title">Dune::RefinedP0LocalInterpolation&lt;·LB·&gt;·Class·Template·Reference</div></div>
77 </div><!--header-->77 </div><!--header-->
78 <div·class="contents">78 <div·class="contents">
  
79 <p><code>#include·&lt;<a·class="el"·href="a00518_source.html">dune/localfunctions/refined/refinedp0/refinedp0localinterpolation.hh</a>&gt;</code></p>79 <p><code>#include·&lt;<a·class="el"·href="a00335_source.html">dune/localfunctions/refined/refinedp0/refinedp0localinterpolation.hh</a>&gt;</code></p>
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78 <a·href="a02566.html">List·of·all·members</a>··</div>78 <a·href="a02566.html">List·of·all·members</a>··</div>
79 ··<div·class="headertitle"><div·class="title">Dune::RefinedP0LocalInterpolation&lt;·RefinedP0LocalBasis&lt;·D,·R,·1·&gt;·&gt;·Class·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::RefinedP0LocalInterpolation&lt;·RefinedP0LocalBasis&lt;·D,·R,·1·&gt;·&gt;·Class·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p><code>#include·&lt;<a·class="el"·href="a00518_source.html">dune/localfunctions/refined/refinedp0/refinedp0localinterpolation.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00335_source.html">dune/localfunctions/refined/refinedp0/refinedp0localinterpolation.hh</a>&gt;</code></p>
83 <table·class="memberdecls">83 <table·class="memberdecls">
84 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-methods"·name="pub-methods"></a>84 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-methods"·name="pub-methods"></a>
85 Public·Member·Functions</h2></td></tr>85 Public·Member·Functions</h2></td></tr>
86 <tr·class="memitem:aba598beb504c5bf4079975677d049c47"·id="r_aba598beb504c5bf4079975677d049c47"><td·class="memItemLeft"·align="right"·valign="top">&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02569.html#aba598beb504c5bf4079975677d049c47">RefinedP0LocalInterpolation</a>·()</td></tr>86 <tr·class="memitem:aba598beb504c5bf4079975677d049c47"·id="r_aba598beb504c5bf4079975677d049c47"><td·class="memItemLeft"·align="right"·valign="top">&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02569.html#aba598beb504c5bf4079975677d049c47">RefinedP0LocalInterpolation</a>·()</td></tr>
87 <tr·class="separator:aba598beb504c5bf4079975677d049c47"><td·class="memSeparator"·colspan="2">&#160;</td></tr>87 <tr·class="separator:aba598beb504c5bf4079975677d049c47"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
88 <tr·class="memitem:ac731b1f49c3be9e0bd5e2f4814201ac2"·id="r_ac731b1f49c3be9e0bd5e2f4814201ac2"><td·class="memTemplParams"·colspan="2">template&lt;typename·F·,·typename·C·&gt;·</td></tr>88 <tr·class="memitem:ac731b1f49c3be9e0bd5e2f4814201ac2"·id="r_ac731b1f49c3be9e0bd5e2f4814201ac2"><td·class="memTemplParams"·colspan="2">template&lt;typename·F·,·typename·C·&gt;·</td></tr>
89 <tr·class="memitem:ac731b1f49c3be9e0bd5e2f4814201ac2"><td·class="memTemplItemLeft"·align="right"·valign="top">void&#160;</td><td·class="memTemplItemRight"·valign="bottom"><a·class="el"·href="a02569.html#ac731b1f49c3be9e0bd5e2f4814201ac2">interpolate</a>·(const·F·&amp;ff,·std::vector&lt;·C·&gt;·&amp;out)·const</td></tr>89 <tr·class="memitem:ac731b1f49c3be9e0bd5e2f4814201ac2"><td·class="memTemplItemLeft"·align="right"·valign="top">void&#160;</td><td·class="memTemplItemRight"·valign="bottom"><a·class="el"·href="a02569.html#ac731b1f49c3be9e0bd5e2f4814201ac2">interpolate</a>·(const·F·&amp;ff,·std::vector&lt;·C·&gt;·&amp;out)·const</td></tr>
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78 <a·href="a02570.html">List·of·all·members</a>··</div>78 <a·href="a02570.html">List·of·all·members</a>··</div>
79 ··<div·class="headertitle"><div·class="title">Dune::RefinedP0LocalInterpolation&lt;·RefinedP0LocalBasis&lt;·D,·R,·2·&gt;·&gt;·Class·Template·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">Dune::RefinedP0LocalInterpolation&lt;·RefinedP0LocalBasis&lt;·D,·R,·2·&gt;·&gt;·Class·Template·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
  
82 <p><code>#include·&lt;<a·class="el"·href="a00518_source.html">dune/localfunctions/refined/refinedp0/refinedp0localinterpolation.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00335_source.html">dune/localfunctions/refined/refinedp0/refinedp0localinterpolation.hh</a>&gt;</code></p>
83 <table·class="memberdecls">83 <table·class="memberdecls">
84 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-methods"·name="pub-methods"></a>84 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-methods"·name="pub-methods"></a>
85 Public·Member·Functions</h2></td></tr>85 Public·Member·Functions</h2></td></tr>
86 <tr·class="memitem:a09f8dd8a1fb1973c90c20b366db89e18"·id="r_a09f8dd8a1fb1973c90c20b366db89e18"><td·class="memItemLeft"·align="right"·valign="top">&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02573.html#a09f8dd8a1fb1973c90c20b366db89e18">RefinedP0LocalInterpolation</a>·()</td></tr>86 <tr·class="memitem:a09f8dd8a1fb1973c90c20b366db89e18"·id="r_a09f8dd8a1fb1973c90c20b366db89e18"><td·class="memItemLeft"·align="right"·valign="top">&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02573.html#a09f8dd8a1fb1973c90c20b366db89e18">RefinedP0LocalInterpolation</a>·()</td></tr>
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81 <div·class="contents">81 <div·class="contents">
  
82 <p><code>#include·&lt;<a·class="el"·href="a00518_source.html">dune/localfunctions/refined/refinedp0/refinedp0localinterpolation.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00335_source.html">dune/localfunctions/refined/refinedp0/refinedp0localinterpolation.hh</a>&gt;</code></p>
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85 ·<a·href="a02581.html#details">More...</a></p>85 ·<a·href="a02581.html#details">More...</a></p>
  
86 <p><code>#include·&lt;<a·class="el"·href="a00527_source.html">dune/localfunctions/refined/refinedp1.hh</a>&gt;</code></p>86 <p><code>#include·&lt;<a·class="el"·href="a00341_source.html">dune/localfunctions/refined/refinedp1.hh</a>&gt;</code></p>
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82 <p><code>#include·&lt;<a·class="el"·href="a00509_source.html">dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh</a>&gt;</code></p>82 <p><code>#include·&lt;<a·class="el"·href="a00344_source.html">dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh</a>&gt;</code></p>
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87 <p><code>#include·&lt;<a·class="el"·href="a00509_source.html">dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh</a>&gt;</code></p>87 <p><code>#include·&lt;<a·class="el"·href="a00344_source.html">dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh</a>&gt;</code></p>
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87 <p><code>#include·&lt;<a·class="el"·href="a00509_source.html">dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh</a>&gt;</code></p>87 <p><code>#include·&lt;<a·class="el"·href="a00344_source.html">dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh</a>&gt;</code></p>
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86 ·<a·href="a02597.html#details">More...</a></p>86 ·<a·href="a02597.html#details">More...</a></p>
  
87 <p><code>#include·&lt;<a·class="el"·href="a00509_source.html">dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh</a>&gt;</code></p>87 <p><code>#include·&lt;<a·class="el"·href="a00344_source.html">dune/localfunctions/refined/refinedp1/refinedp1localbasis.hh</a>&gt;</code></p>
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77 <a·href="#pub-types">Public·Types</a>·&#124;77 <a·href="#pub-types">Public·Types</a>·&#124;
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87 Inheritance·diagram·for·Dune::EdgeS0_5Common&lt;·dim,·DF·&gt;:</div>87 Inheritance·diagram·for·Dune::EdgeS0_5Common&lt;·dim,·DF·&gt;:</div>
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80 ··<div·class="headertitle"><div·class="title">Dune::EdgeS0_5Interpolation&lt;·Geometry,·Traits_·&gt;·Class·Template·Reference</div></div>80 ··<div·class="headertitle"><div·class="title">Dune::EdgeS0_5Interpolation&lt;·Geometry,·Traits_·&gt;·Class·Template·Reference</div></div>
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85 <p><code>#include·&lt;<a·class="el"·href="a04479_source.html">dune/localfunctions/whitney/edges0.5/interpolation.hh</a>&gt;</code></p>85 <p><code>#include·&lt;<a·class="el"·href="a04491_source.html">dune/localfunctions/whitney/edges0.5/interpolation.hh</a>&gt;</code></p>
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87 Inheritance·diagram·for·Dune::EdgeS0_5Interpolation&lt;·Geometry,·Traits_·&gt;:</div>87 Inheritance·diagram·for·Dune::EdgeS0_5Interpolation&lt;·Geometry,·Traits_·&gt;:</div>
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
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9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
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13 Classes·|·Namespaces14 Classes·|·Namespaces
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15 #include·<type_traits> 
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17 #include·<vector>18 #include·<vector>
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19 #include·<dune/localfunctions/common/localinterpolation.hh> 
20 #include·<dune/localfunctions/lagrange/lagrangecoefficients.hh> 
21 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
22 ·Classes22 ·Classes
23 ·class· Dune::LocalLagrangeInterpolation<_LP,_dim,_F_>23 ·class· Dune::PowerBasis<_Backend,_dimR_>
 24  ·······Meta-basis·turning·a·scalar·basis·into·vector-valued·basis.·More...
24  25  
25 struct· Dune::LagrangeInterpolationFactory<_LP,_dim,_F_>26 struct· Dune::PowerBasis<_Backend,_dimR_>::Traits
 27  ·······types·of·domain·and·range·More...
26  28  
27 ·Namespaces29 ·Namespaces
28 namespace· Dune30 namespace· Dune
29  31  
  
30 ===============================================================================32 ===============================================================================
31 ·····Generated·by [doxygen]·1.9.833 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
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 13 ····*·power
 14 meta/power/basis.hh
14 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_LAGRANGEBASIS_INTERPOLATION_HH 
21 ·6#define·DUNE_LAGRANGEBASIS_INTERPOLATION_HH 
22 ·7 
23 ·8#include·<type_traits>21 ·5
 22 ·6#ifndef·DUNE_LOCALFUNCTIONS_META_POWER_BASIS_HH
 23 ·7#define·DUNE_LOCALFUNCTIONS_META_POWER_BASIS_HH
 24 ·8
24 ·9#include·<utility>25 ·9#include·<numeric>
 26 ·10#include·<cstddef>
25 ·10#include·<vector>27 ·11#include·<vector>
26 ·1128 ·12
27 ·12#include·<dune/common/typeutilities.hh>29 ·13#include·<dune/common/fmatrix.hh>
 30 ·14#include·<dune/common/fvector.hh>
 31 ·15
28 ·13 
29 ·14#include·<dune/localfunctions/common/localinterpolation.hh> 
30 ·15#include·<dune/localfunctions/lagrange/lagrangecoefficients.hh> 
31 ·16 
32 ·17namespace·Dune32 ·16namespace·Dune·{
33 ·18{33 ·17
34 ·1934 ·19
 35 ·25·template<class·Backend,·std::size_t·dimR>
 36 26·class·PowerBasis·{
 37 ·27·static_assert(Backend::Traits::dimRange·==·1,
 38 ·28·"PowerBasis·works·only·with·scalar·backends");
35 ·20·template<·template·<class,unsigned·int>·class·LP, 
36 ·21·unsigned·int·dim,·class·F·> 
37 ·22·struct·LagrangeInterpolationFactory; 
38 ·23 
39 ·24·//·LocalLagrangeInterpolation 
40 ·25·//·-------------------------- 
41 ·26 
42 ·27·template<·template·<class,unsigned·int>·class·LP,·unsigned·int·dim,·class·F 
43 > 
44 28·class·LocalLagrangeInterpolation 
45 ·29·{39 ·29
46 ·30·typedef·LocalLagrangeInterpolation<_LP,dim,F_>·This; 
47 ·3140 ·30·//·don't·use·a·reference·here·so·this·class·stays·copyable
 41 ·31·const·Backend·*backend;
 42 ·32
48 ·32·public:43 ·33·public:
 44 35·struct·Traits·:·public·Backend::Traits
 45 ·36·{
 46 38·static·const·std::size_t·dimRange·=·dimR;
 47 40·typedef·FieldVector<typename·Traits::RangeField,·dimR>·Range;
49 33·typedef·LP<F,dim>·LagrangePointSet; 
50 34·typedef·typename·LagrangePointSet::Field·Field; 
51 ·35 
52 36·static·const·unsigned·int·dimension·=·LagrangePointSet::dimension; 
53 ·37 
54 ·38·private: 
55 ·39·friend·struct·LagrangeInterpolationFactory<LP,dim,F>; 
56 ·40·const·LagrangePointSet·&lagrangePoints_; 
57 ·4148 ·41
 49 ·43
 50 ·47·typedef·FieldMatrix<typename·Traits::RangeField,·dimR,
 51 48·Traits::dimDomainGlobal>·Jacobian;
58 ·42·explicit·LocalLagrangeInterpolation·(·const·LagrangePointSet 
59 &lagrangePoints·) 
60 ·43·:·lagrangePoints_(·lagrangePoints·) 
61 ·44·{} 
62 ·45 
63 ·46·const·LagrangePointSet·*points·()·const·{·return·&lagrangePoints_;·} 
64 ·47 
65 ·48·template<·class·Fn,·class·Vector·> 
66 ·49·auto·interpolate·(·const·Fn·&fn,·Vector·&coefficients,·PriorityTag<·1·>·) 
67 const 
68 ·50·->·std::enable_if_t<·std::is_invocable_v<·const·Fn·&,·decltype(·this- 
69 >lagrangePoints_.begin()->point()·)·>·> 
70 ·51·{ 
71 ·52·unsigned·int·index·=·0; 
72 ·53·for(·const·auto·&lp·:·lagrangePoints_·) 
73 ·54·field_cast(·fn(·lp.point()·),·coefficients[·index++·]·); 
74 ·55·} 
75 ·56·template<·class·Fn,·class·Vector·> 
76 ·57·auto·interpolate·(·const·Fn·&fn,·Vector·&coefficients,·PriorityTag<·0·>·) 
77 const 
78 ·58·->·std::enable_if_t<·models<Impl::FunctionWithEvaluate<·typename·Fn:: 
79 DomainType,·typename·Fn::RangeType·>,·Fn>(),·void> 
80 ·59·{ 
81 ·60·unsigned·int·index·=·0; 
82 ·61·for(·const·auto·&lp·:·lagrangePoints_·) 
83 ·62·{ 
84 ·63·typename·Fn::RangeType·val; 
85 ·64·fn.evaluate(·field_cast<·typename·Fn::DomainType::field_type·>(·lp.point() 
86 ),·val·); 
87 ·65·field_cast(·val,·coefficients[·index++·]·); 
88 ·66·} 
89 ·67·} 
90 ·68 
91 ·69·public: 
92 ·70·template<·class·Fn,·class·Vector·> 
93 71·auto·interpolate·(·const·Fn·&fn,·Vector·&coefficients·)·const 
94 ·72·->·std::enable_if_t<·std::is_same<·decltype(std::declval<Vector>().resize 
95 (1)·),void·>::value,void> 
96 ·73·{ 
97 ·74·coefficients.resize(·lagrangePoints_.size()·); 
98 ·75·interpolate(·fn,·coefficients,·PriorityTag<·42·>()·); 
99 ·76·} 
100 ·77 
101 ·78·template<·class·Basis,·class·Matrix·> 
102 79·auto·interpolate·(·const·Basis·&basis,·Matrix·&coefficients·)·const 
103 ·80·->·std::enable_if_t<·std::is_same< 
104 ·81·decltype(std::declval<Matrix>().rowPtr(0)),·typename·Matrix::Field*·>:: 
105 value,void> 
106 ·82·{ 
107 ·83·coefficients.resize(·lagrangePoints_.size(),·basis.size(·)·); 
108 ·84 
109 ·85·unsigned·int·index·=·0; 
110 ·86·for(·const·auto·&lp·:·lagrangePoints_·) 
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24  ······Meta-interpolation·turning·a·scalar·interpolation·into·vector-valued 
25 ········interpolation.·More...25 ·class· Dune::EdgeS0_5Basis<_Geometry,_RF_>
 26  ·······Basis·for·order·0.5·(lowest·order)·edge·elements·on·simplices.·More...
 27  
 28 struct· Dune::EdgeS0_5Basis<_Geometry,_RF_>::Traits
 29  ·······export·type·traits·for·function·signature·More...
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21 ·521 ·5
22 ·6#ifndef·DUNE_LOCALFUNCTIONS_META_POWER_INTERPOLATION_HH 
23 ·7#define·DUNE_LOCALFUNCTIONS_META_POWER_INTERPOLATION_HH22 ·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_BASIS_HH
 23 ·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_BASIS_HH
24 ·824 ·8
25 ·9#include·<algorithm> 
26 ·10#include·<cassert> 
27 ·11#include·<cstddef>25 ·9#include·<cstddef>
28 ·12#include·<vector>26 ·10#include·<vector>
29 ·13#include·<dune/localfunctions/common/localinterpolation.hh>27 ·11
 28 ·12#include·<dune/common/fmatrix.hh>
 29 ·13#include·<dune/common/fvector.hh>
30 ·1430 ·14
 31 ·15#include·<dune/localfunctions/common/localtoglobaladaptors.hh>
 32 ·16#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
 33 ·17#include·<dune/localfunctions/whitney/edges0.5/common.hh>
 34 ·18
31 ·15namespace·Dune·{35 ·19namespace·Dune·{
32 ·16 
33 ·19 
34 ·25·template<class·Backend,·class·BasisTraits> 
35 26·class·PowerInterpolation·{ 
36 ·27·static_assert(Backend::Traits::dimRange·==·1, 
37 ·28·"PowerInterpolation·works·only·with·scalar·backends"); 
38 ·29 
39 ·30·const·Backend·*backend; 
40 ·3136 ·20
 37 ·22·//
 38 ·23·//·Basis
 39 ·24·//
 40 ·25
 41 ·27
 42 ·35·template<class·Geometry,·class·RF>
 43 36·class·EdgeS0_5Basis·:
 44 ·37·private·EdgeS0_5Common<Geometry::mydimension,·typename·Geometry::ctype>
 45 ·38·{
41 ·32·public:46 ·39·public:
 47 41·struct·Traits·{
 48 42·typedef·typename·Geometry::ctype·DomainField;
 49 43·static·const·std::size_t·dimDomainLocal·=·Geometry::mydimension;
 50 44·static·const·std::size_t·dimDomainGlobal·=·Geometry::coorddimension;
 51 45·typedef·FieldVector<DomainField,·dimDomainLocal>·DomainLocal;
 52 46·typedef·FieldVector<DomainField,·dimDomainGlobal>·DomainGlobal;
 53 ·47
 54 48·typedef·RF·RangeField;
 55 49·static·const·std::size_t·dimRange·=·dimDomainLocal;
 56 50·typedef·FieldVector<RangeField,·dimRange>·Range;
42 34·typedef·BasisTraits·Traits; 
43 ·35 
44 ·37 
45 43·PowerInterpolation(const·Backend·&backend_)·:·backend(&backend_)·{·} 
46 ·44 
47 ·45·private: 
48 ·46·template<class·F> 
49 ·47·class·ComponentEvaluator 
50 ·48·{ 
51 ·49·const·F·&f; 
52 ·50·std::size_t·comp; 
53 ·5157 ·51
 58 52·typedef·FieldMatrix<RangeField,·dimRange,·dimDomainGlobal>·Jacobian;
 59 ·53·};
 60 ·54
 61 ·55·private:
 62 ·56·typedef·Dune::Impl::LagrangeSimplexLocalBasis<typename·Traits::DomainField,
 63 ·57·typename·Traits::RangeField,
 64 ·58·Traits::dimDomainLocal,
 65 ·59·1·//·Polynomial·order
 66 ·60·>·P1LocalBasis;
 67 ·61·typedef·ScalarLocalToGlobalBasisAdaptor<P1LocalBasis,_Geometry>·P1Basis;
 68 ·62
 69 ·63·static·const·P1LocalBasis&·p1LocalBasis;
 70 ·64·static·const·std::size_t·dim·=·Traits::dimDomainLocal;
54 ·52·public: 
55 ·53·ComponentEvaluator(const·F·&f_,·std::size_t·comp_)·: 
56 ·54·f(f_),·comp(comp_) 
57 ·55·{·} 
58 ·56 
59 ·57·typename·Backend::Traits::Range·operator()(const·typename·Backend::Traits:: 
60 DomainLocal·&x)·const 
61 ·58·{ 
62 ·59·typename·Traits::Range·fy·=·f(x); 
63 ·60·typename·Backend::Traits::Range·y; 
64 ·61·y[0]·=·fy[comp]; 
65 ·62·return·y; 
66 ·63·} 
67 ·64·}; 
68 ·6571 ·65
 72 ·66·typedef·EdgeS0_5Common<dim,_typename_Geometry::ctype>·Base;
 73 ·67·using·Base::refelem;
 74 ·68·using·Base::s;
 75 ·69
 76 ·70·//·global·values·of·the·Jacobians·(gradients)·of·the·p1·basis
 77 ·71·std::vector<typename·P1Basis::Traits::Jacobian>·p1j;
 78 ·72·//·edge·sizes·and·orientations
 79 ·73·std::vector<typename·Traits::DomainField>·edgel;
 80 ·74
69 ·66·public:81 ·75·public:
 82 ·77
 83 ·83·template<typename·VertexOrder>
 84 84·EdgeS0_5Basis(const·Geometry&·geo,·const·VertexOrder&·vertexOrder)·:
 85 ·85·p1j(s,·typename·P1Basis::Traits::Jacobian(0)),·edgel(s)
 86 ·86·{
 87 ·87·//·use·some·arbitrary·position·to·evaluate·jacobians,·they·are·constant
 88 ·88·static·const·typename·Traits::DomainLocal·xl(0);
 89 ·89
 90 ·90·//·precompute·Jacobian·(gradients)·of·the·p1·element
 91 ·91·P1Basis(p1LocalBasis,·geo).evaluateJacobian(xl,·p1j);
 92 ·92
 93 ·93·//·calculate·edge·sizes·and·orientations
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 13 ····*·power
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23  ······Interpolation·for·lowest·order·edge·elements·on·simplices.·More...21 class· Dune::PowerCoefficients
 22  ······Meta-coefficients·turning·a·scalar·coefficients·into·vector-valued
 23 ········coefficients.·More...
24  24  
25 ·Namespaces25 ·Namespaces
26 namespace· Dune26 namespace· Dune
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19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
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21 ·521 ·5
22 ·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_INTERPOLATION_HH 
23 ·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_INTERPOLATION_HH22 ·6#ifndef·DUNE_LOCALFUNCTIONS_META_POWER_COEFFICIENTS_HH
 23 ·7#define·DUNE_LOCALFUNCTIONS_META_POWER_COEFFICIENTS_HH
24 ·824 ·8
25 ·9#include·<cstddef>25 ·9#include·<cstddef>
26 ·10#include·<vector>26 ·10#include·<vector>
27 ·1127 ·11
28 ·12#include·<dune/localfunctions/whitney/edges0.5/common.hh> 
29 ·13#include·<dune/localfunctions/common/localinterpolation.hh>28 ·12#include·<dune/localfunctions/common/localkey.hh>
30 ·1429 ·13
31 ·15namespace·Dune·{30 ·14namespace·Dune·{
 31 ·15
 32 ·18
 33 22·class·PowerCoefficients·{
 34 ·23·std::vector<LocalKey>·keys;
 35 ·24
32 ·16 
33 ·18·// 
34 ·19·//·Interpolation 
35 ·20·// 
36 ·21 
37 ·23 
38 ·29·template<class·Geometry,·class·Traits_> 
39 30·class·EdgeS0_5Interpolation·: 
40 ·31·private·EdgeS0_5Common<Traits_::dimDomainLocal, 
41 ·32·typename·Traits_::DomainField> 
42 ·33·{ 
43 ·34·public: 
44 35·typedef·Traits_·Traits; 
45 ·36 
46 ·37·private: 
47 ·38·static·const·std::size_t·dim·=·Traits::dimDomainLocal; 
48 ·39·typedef·EdgeS0_5Common<dim,_typename_Traits::DomainField>·Base; 
49 ·40·using·Base::refelem; 
50 ·41·using·Base::s; 
51 ·42 
52 ·43·std::vector<typename·Traits::DomainGlobal>·edgev; 
53 ·44 
54 ·45·public:36 ·25·public:
 37 ·27
 38 ·35·template<class·Backend>
 39 36·PowerCoefficients(const·Backend·&backend,·std::size_t·power)·:
 40 ·37·keys(backend.size()*power)
 41 ·38·{
55 ·47 
56 ·53·template<typename·VertexOrder> 
57 54·EdgeS0_5Interpolation(const·Geometry&·geo, 
58 ·55·const·VertexOrder&·vertexOrder)·: 
59 ·56·edgev(s) 
60 ·57·{ 
61 ·58·for(std::size_t·i·=·0;·i·<·s;·++i)·{42 ·39·for(std::size_t·i·=·0;·i·<·backend.size();·++i)·{
 43 ·40·const·LocalKey·&k·=·backend.localKey(i);
62 ·59·const·std::size_t·i0·=·refelem.subEntity(i,dim-1,0,dim); 
63 ·60·const·std::size_t·i1·=·refelem.subEntity(i,dim-1,1,dim); 
64 ·61 
65 ·62·edgev[i]·=·geo.corner(i1); 
66 ·63·edgev[i]·-=·geo.corner(i0); 
67 ·64·edgev[i]·/=·edgev[i].two_norm(); 
68 ·65 
69 ·66·const·typename·VertexOrder::iterator&·edgeVertexOrder·= 
70 ·67·vertexOrder.begin(dim-1,·i); 
71 ·68·if(edgeVertexOrder[0]·>·edgeVertexOrder[1]) 
72 ·69·edgev[i]·*=·-1; 
73 ·70·} 
74 ·71·} 
75 ·72 
76 ·74·template<typename·F,·typename·C> 
77 75·void·interpolate(const·F&·ff,·std::vector<C>&·out)·const·{ 
78 ·76·typename·Traits::Range·y; 
79 ·77 
80 ·78·auto&&·f·=·Impl::makeFunctionWithCallOperator<std::decay_t<decltype 
81 (refelem.position(0,dim-1))>>(ff); 
82 ·79 
83 ·80·out.resize(s); 
84 ·81 
85 ·82·for(std::size_t·i·=·0;·i·<·s;·++i)·{44 ·41·for(std::size_t·d·=·0;·d·<·power;·++d)
86 ·83·y·=·f(refelem.position(i,dim-1)); 
87 ·84 
88 ·85·out[i]·=·y·*·edgev[i]; 
89 ·86·} 
90 ·87·} 
91 ·88·}; 
92 ·8945 ·42·keys[i+d*backend.size()]·=
 46 ·43·LocalKey(k.subEntity(),·k.codim(),·power*k.index()·+·d);
 47 ·44·}
 48 ·45·}
 49 47·inline·std::size_t·size()·const·{·return·keys.size();·}
 50 ·48
 51 50·inline·const·LocalKey&·localKey(std::size_t·i)·const·{·return·keys[i];·}
 52 ·51·};
 53 ·52
93 ·90}·//·namespace·Dune54 ·53}·//·namespace·Dune
94 ·91 
95 ·92#endif·//·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_INTERPOLATION_HH 
96 common.hh55 ·54
 56 ·55#endif·//·DUNE_LOCALFUNCTIONS_META_POWER_COEFFICIENTS_HH
 57 localkey.hh
97 Dune58 Dune
98 Definition·bdfmcube.hh:1859 Definition·bdfmcube.hh:18
99 Dune::EdgeS0_5Common 
100 Common·base·class·for·edge·elements. 
101 Definition·common.hh:19 
102 Dune::EdgeS0_5Common::refelem 
103 RefElem·refelem 
104 The·reference·element·for·this·edge·element. 
105 Definition·common.hh:26 
106 Dune::EdgeS0_5Common::s 
107 std::size_t·s 
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 13 ····*·edges0.5
14 Classes·|·Namespaces14 Classes·|·Namespaces
15 basis.hh·File·Reference15 coefficients.hh·File·Reference
16 #include·<numeric> 
17 #include·<cstddef>16 #include·<cstddef>
18 #include·<vector>17 #include·<vector>
19 #include·<dune/common/fmatrix.hh> 
20 #include·<dune/common/fvector.hh>18 #include·<dune/localfunctions/common/localkey.hh>
 19 #include·<dune/localfunctions/whitney/edges0.5/common.hh>
21 Go_to_the_source_code_of_this_file.20 Go_to_the_source_code_of_this_file.
22 ·Classes21 ·Classes
 22 class· Dune::EdgeS0_5Coefficients<_dim_>
 23  ······Coefficients·for·lowest·order·edge·elements·on·simplices.·More...
23 ·class· Dune::PowerBasis<_Backend,_dimR_> 
24  ·······Meta-basis·turning·a·scalar·basis·into·vector-valued·basis.·More... 
25   
26 struct· Dune::PowerBasis<_Backend,_dimR_>::Traits 
27  ·······types·of·domain·and·range·More... 
28  24  
29 ·Namespaces25 ·Namespaces
30 namespace· Dune26 namespace· Dune
31  27  
  
32 ===============================================================================28 ===============================================================================
33 ·····Generated·by [doxygen]·1.9.829 ·····Generated·by [doxygen]·1.9.8
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8 <title>dune-localfunctions:·basis.hh·Source·File</title>8 <title>dune-localfunctions:·coefficients.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·meta 
13 ····*·power 
14 meta/power/basis.hh12 ····*·whitney
 13 ····*·edges0.5
 14 whitney/edges0.5/coefficients.hh
15 Go_to_the_documentation_of_this_file.15 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root19 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·521 ·5
22 ·6#ifndef·DUNE_LOCALFUNCTIONS_META_POWER_BASIS_HH 
23 ·7#define·DUNE_LOCALFUNCTIONS_META_POWER_BASIS_HH22 ·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COEFFICIENTS_HH
 23 ·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COEFFICIENTS_HH
24 ·824 ·8
25 ·9#include·<numeric> 
26 ·10#include·<cstddef>25 ·9#include·<cstddef>
27 ·11#include·<vector>26 ·10#include·<vector>
28 ·12 
29 ·13#include·<dune/common/fmatrix.hh> 
30 ·14#include·<dune/common/fvector.hh> 
31 ·1527 ·11
 28 ·12#include·<dune/localfunctions/common/localkey.hh>
 29 ·13#include·<dune/localfunctions/whitney/edges0.5/common.hh>
 30 ·14
32 ·16namespace·Dune·{31 ·15namespace·Dune·{
33 ·17 
34 ·1932 ·16
 33 ·18·//
 34 ·19·//·Coefficients
 35 ·20·//
 36 ·21
 37 ·23
35 ·25·template<class·Backend,·std::size_t·dimR>38 ·29·template<std::size_t·dim>
 39 30·class·EdgeS0_5Coefficients·:·private·EdgeS0_5Common<dim>·{
 40 ·31·using·EdgeS0_5Common<dim>::s;
36 26·class·PowerBasis·{ 
37 ·27·static_assert(Backend::Traits::dimRange·==·1, 
38 ·28·"PowerBasis·works·only·with·scalar·backends"); 
39 ·29 
40 ·30·//·don't·use·a·reference·here·so·this·class·stays·copyable 
41 ·31·const·Backend·*backend; 
42 ·3241 ·32
 42 ·33·std::vector<LocalKey>·li;
 43 ·34
43 ·33·public:44 ·35·public:
44 35·struct·Traits·:·public·Backend::Traits 
45 ·36·{ 
46 38·static·const·std::size_t·dimRange·=·dimR; 
47 40·typedef·FieldVector<typename·Traits::RangeField,·dimR>·Range;45 37·EdgeS0_5Coefficients()·:·li(s)·{
 46 ·38·for(std::size_t·i·=·0;·i·<·s;·i++)
 47 ·39·li[i]·=·LocalKey(i,·dim-1,·0);
 48 ·40·}
48 ·4149 ·41
49 ·43 
50 ·47·typedef·FieldMatrix<typename·Traits::RangeField,·dimR, 
51 48·Traits::dimDomainGlobal>·Jacobian;50 43·std::size_t·size·()·const·{·return·s;·}
 51 ·44
 52 46·const·LocalKey&·localKey(std::size_t·i)·const·{·return·li[i];·}
52 ·49·};53 ·47·};
 54 ·48
 55 ·49}·//·namespace·Dune
53 ·5056 ·50
 57 ·51#endif·//·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COEFFICIENTS_HH
 58 localkey.hh
 59 common.hh
54 ·52 
55 58·PowerBasis(const·Backend·&backend_)·:·backend(&backend_)·{·} 
56 ·59 
57 61·std::size_t·size·()·const·{·return·backend->size()*dimR;·} 
58 63·std::size_t·order·()·const·{·return·backend->order();·} 
59 ·64 
60 66·void·evaluateFunction(const·typename·Traits::DomainLocal&·in, 
61 ·67·std::vector<typename·Traits::Range>&·out)·const 
62 ·68·{ 
63 ·69·std::vector<typename·Backend::Traits::Range>·backendValues; 
64 ·70·backend->evaluateFunction(in,·backendValues); 
65 ·71·out.assign(size(),·typename·Traits::Range(0)); 
66 ·72·for(std::size_t·d·=·0;·d·<·dimR;·++d) 
67 ·73·for(std::size_t·i·=·0;·i·<·backend->size();·++i) 
68 ·74·out[d*backend->size()+i][d]·=·backendValues[i][0]; 
69 ·75·} 
70 ·76 
71 78·void·evaluateJacobian(const·typename·Traits::DomainLocal&·in, 
72 ·79·std::vector<typename·Traits::Jacobian>&·out)·const 
73 ·80·{ 
74 ·81·std::vector<typename·Backend::Traits::Jacobian>·backendValues; 
75 ·82·backend->evaluateJacobian(in,·backendValues); 
76 ·83·out.assign(size(),·typename·Traits::Jacobian(0)); 
77 ·84·for(std::size_t·d·=·0;·d·<·dimR;·++d) 
78 ·85·for(std::size_t·i·=·0;·i·<·backend->size();·++i) 
79 ·86·out[d*backend->size()+i][d]·=·backendValues[i][0]; 
80 ·87·} 
81 ·88 
82 90·void·partial·(const·std::array<unsigned·int,·Backend::Traits:: 
83 dimDomainGlobal>&·order, 
84 ·91·const·typename·Traits::DomainLocal&·in,·//·position 
85 ·92·std::vector<typename·Traits::Range>&·out)·const·//·return·value 
86 ·93·{ 
87 ·94·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0); 
88 ·95·if·(totalOrder·==·0)·{ 
89 ·96·evaluateFunction(in,·out); 
90 ·97·}·else·{ 
91 ·98·DUNE_THROW(NotImplemented,·"Desired·derivative·order·is·not·implemented"); 
92 ·99·} 
93 ·100·} 
94 ·101·}; 
95 ·102 
96 ·103}·//·namespace·Dune 
97 ·104 
98 ·105#endif·//·DUNE_LOCALFUNCTIONS_META_POWER_BASIS_HH 
99 Dune60 Dune
100 Definition·bdfmcube.hh:1861 Definition·bdfmcube.hh:18
101 Dune::PowerBasis 
102 Meta-basis·turning·a·scalar·basis·into·vector-valued·basis. 
103 Definition·meta/power/basis.hh:26 
104 Dune::PowerBasis::PowerBasis 
105 PowerBasis(const·Backend·&backend_) 
106 Construct·a·PowerBasis. 
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6 dune-localfunctions 2.9.06 dune-localfunctions 2.9.0
  
7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
12 ····*·whitney 
13 ····*·edges0.5 
14 Classes·|·Namespaces13 Classes·|·Namespaces
15 basis.hh·File·Reference 
16 #include·<cstddef>14 interpolation.hh·File·Reference
 15 #include·<type_traits>
 16 #include·<utility>
17 #include·<vector>17 #include·<vector>
18 #include·<dune/common/fmatrix.hh>18 #include·<dune/common/typeutilities.hh>
19 #include·<dune/common/fvector.hh> 
20 #include·<dune/localfunctions/common/localtoglobaladaptors.hh>19 #include·<dune/localfunctions/common/localinterpolation.hh>
21 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>20 #include·<dune/localfunctions/lagrange/lagrangecoefficients.hh>
22 #include·<dune/localfunctions/whitney/edges0.5/common.hh> 
23 Go_to_the_source_code_of_this_file.21 Go_to_the_source_code_of_this_file.
24 ·Classes22 ·Classes
 23 ·class· Dune::LocalLagrangeInterpolation<_LP,_dim,_F_>
25 ·class· Dune::EdgeS0_5Basis<_Geometry,_RF_> 
26  ·······Basis·for·order·0.5·(lowest·order)·edge·elements·on·simplices.·More... 
27  24  
 25 struct· Dune::LagrangeInterpolationFactory<_LP,_dim,_F_>
28 struct· Dune::EdgeS0_5Basis<_Geometry,_RF_>::Traits 
29  ·······export·type·traits·for·function·signature·More... 
30  26  
31 ·Namespaces27 ·Namespaces
32 namespace· Dune28 namespace· Dune
33  29  
  
34 ===============================================================================30 ===============================================================================
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8 <title>dune-localfunctions:·basis.hh·Source·File</title>8 <title>dune-localfunctions:·interpolation.hh·Source·File</title>
9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>9 <link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
 12 ····*·lagrange
 13 lagrange/interpolation.hh
12 ····*·whitney 
13 ····*·edges0.5 
14 whitney/edges0.5/basis.hh 
15 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
16 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
17 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
18 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
19 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
20 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
21 ·5 
22 ·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_BASIS_HH 
23 ·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_BASIS_HH 
24 ·8 
25 ·9#include·<cstddef>20 ·5#ifndef·DUNE_LAGRANGEBASIS_INTERPOLATION_HH
 21 ·6#define·DUNE_LAGRANGEBASIS_INTERPOLATION_HH
 22 ·7
 23 ·8#include·<type_traits>
 24 ·9#include·<utility>
26 ·10#include·<vector>25 ·10#include·<vector>
27 ·1126 ·11
28 ·12#include·<dune/common/fmatrix.hh>27 ·12#include·<dune/common/typeutilities.hh>
 28 ·13
29 ·13#include·<dune/common/fvector.hh> 
30 ·14 
31 ·15#include·<dune/localfunctions/common/localtoglobaladaptors.hh>29 ·14#include·<dune/localfunctions/common/localinterpolation.hh>
32 ·16#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>30 ·15#include·<dune/localfunctions/lagrange/lagrangecoefficients.hh>
 31 ·16
33 ·17#include·<dune/localfunctions/whitney/edges0.5/common.hh> 
34 ·18 
35 ·19namespace·Dune·{32 ·17namespace·Dune
36 ·20 
37 ·22·// 
38 ·23·//·Basis 
39 ·24·// 
40 ·25 
41 ·27 
42 ·35·template<class·Geometry,·class·RF> 
43 36·class·EdgeS0_5Basis·: 
44 ·37·private·EdgeS0_5Common<Geometry::mydimension,·typename·Geometry::ctype> 
45 ·38·{33 ·18{
 34 ·19
 35 ·20·template<·template·<class,unsigned·int>·class·LP,
 36 ·21·unsigned·int·dim,·class·F·>
 37 ·22·struct·LagrangeInterpolationFactory;
 38 ·23
 39 ·24·//·LocalLagrangeInterpolation
 40 ·25·//·--------------------------
 41 ·26
 42 ·27·template<·template·<class,unsigned·int>·class·LP,·unsigned·int·dim,·class·F
 43 >
 44 28·class·LocalLagrangeInterpolation
 45 ·29·{
 46 ·30·typedef·LocalLagrangeInterpolation<_LP,dim,F_>·This;
 47 ·31
46 ·39·public:48 ·32·public:
47 41·struct·Traits·{ 
48 42·typedef·typename·Geometry::ctype·DomainField; 
49 43·static·const·std::size_t·dimDomainLocal·=·Geometry::mydimension; 
50 44·static·const·std::size_t·dimDomainGlobal·=·Geometry::coorddimension; 
51 45·typedef·FieldVector<DomainField,·dimDomainLocal>·DomainLocal; 
52 46·typedef·FieldVector<DomainField,·dimDomainGlobal>·DomainGlobal;49 33·typedef·LP<F,dim>·LagrangePointSet;
 50 34·typedef·typename·LagrangePointSet::Field·Field;
 51 ·35
 52 36·static·const·unsigned·int·dimension·=·LagrangePointSet::dimension;
 53 ·37
 54 ·38·private:
 55 ·39·friend·struct·LagrangeInterpolationFactory<LP,dim,F>;
 56 ·40·const·LagrangePointSet·&lagrangePoints_;
 57 ·41
 58 ·42·explicit·LocalLagrangeInterpolation·(·const·LagrangePointSet
 59 &lagrangePoints·)
 60 ·43·:·lagrangePoints_(·lagrangePoints·)
 61 ·44·{}
 62 ·45
 63 ·46·const·LagrangePointSet·*points·()·const·{·return·&lagrangePoints_;·}
53 ·4764 ·47
54 48·typedef·RF·RangeField; 
55 49·static·const·std::size_t·dimRange·=·dimDomainLocal; 
56 50·typedef·FieldVector<RangeField,·dimRange>·Range;65 ·48·template<·class·Fn,·class·Vector·>
 66 ·49·auto·interpolate·(·const·Fn·&fn,·Vector·&coefficients,·PriorityTag<·1·>·)
 67 const
 68 ·50·->·std::enable_if_t<·std::is_invocable_v<·const·Fn·&,·decltype(·this-
 69 >lagrangePoints_.begin()->point()·)·>·>
57 ·5170 ·51·{
58 52·typedef·FieldMatrix<RangeField,·dimRange,·dimDomainGlobal>·Jacobian; 
59 ·53·}; 
60 ·54 
61 ·55·private: 
62 ·56·typedef·Dune::Impl::LagrangeSimplexLocalBasis<typename·Traits::DomainField, 
63 ·57·typename·Traits::RangeField, 
64 ·58·Traits::dimDomainLocal, 
65 ·59·1·//·Polynomial·order 
66 ·60·>·P1LocalBasis; 
67 ·61·typedef·ScalarLocalToGlobalBasisAdaptor<P1LocalBasis,_Geometry>·P1Basis;71 ·52·unsigned·int·index·=·0;
 72 ·53·for(·const·auto·&lp·:·lagrangePoints_·)
 73 ·54·field_cast(·fn(·lp.point()·),·coefficients[·index++·]·);
 74 ·55·}
 75 ·56·template<·class·Fn,·class·Vector·>
 76 ·57·auto·interpolate·(·const·Fn·&fn,·Vector·&coefficients,·PriorityTag<·0·>·)
 77 const
 78 ·58·->·std::enable_if_t<·models<Impl::FunctionWithEvaluate<·typename·Fn::
 79 DomainType,·typename·Fn::RangeType·>,·Fn>(),·void>
 80 ·59·{
 81 ·60·unsigned·int·index·=·0;
 82 ·61·for(·const·auto·&lp·:·lagrangePoints_·)
68 ·6283 ·62·{
 84 ·63·typename·Fn::RangeType·val;
 85 ·64·fn.evaluate(·field_cast<·typename·Fn::DomainType::field_type·>(·lp.point()
 86 ),·val·);
 87 ·65·field_cast(·val,·coefficients[·index++·]·);
 88 ·66·}
 89 ·67·}
 90 ·68
69 ·63·static·const·P1LocalBasis&·p1LocalBasis; 
70 ·64·static·const·std::size_t·dim·=·Traits::dimDomainLocal; 
71 ·65 
72 ·66·typedef·EdgeS0_5Common<dim,_typename_Geometry::ctype>·Base; 
73 ·67·using·Base::refelem; 
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15 Classes·|·Namespaces15 Classes·|·Namespaces
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 18 #include·<cassert>
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22 class· Dune::PowerCoefficients 
23  ······Meta-coefficients·turning·a·scalar·coefficients·into·vector-valued 
24 ········coefficients.·More...24 class· Dune::PowerInterpolation<_Backend,_BasisTraits_>
 25  ······Meta-interpolation·turning·a·scalar·interpolation·into·vector-valued
 26 ········interpolation.·More...
25  27  
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20 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file20 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
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23 ·523 ·5
24 ·6#ifndef·DUNE_LOCALFUNCTIONS_META_POWER_COEFFICIENTS_HH24 ·6#ifndef·DUNE_LOCALFUNCTIONS_META_POWER_INTERPOLATION_HH
25 ·7#define·DUNE_LOCALFUNCTIONS_META_POWER_COEFFICIENTS_HH25 ·7#define·DUNE_LOCALFUNCTIONS_META_POWER_INTERPOLATION_HH
26 ·826 ·8
 27 ·9#include·<algorithm>
 28 ·10#include·<cassert>
27 ·9#include·<cstddef>29 ·11#include·<cstddef>
28 ·10#include·<vector>30 ·12#include·<vector>
29 ·11 
30 ·12#include·<dune/localfunctions/common/localkey.hh>31 ·13#include·<dune/localfunctions/common/localinterpolation.hh>
31 ·1332 ·14
32 ·14namespace·Dune·{33 ·15namespace·Dune·{
33 ·15 
34 ·18 
35 22·class·PowerCoefficients·{ 
36 ·23·std::vector<LocalKey>·keys; 
37 ·2434 ·16
 35 ·19
 36 ·25·template<class·Backend,·class·BasisTraits>
 37 26·class·PowerInterpolation·{
 38 ·27·static_assert(Backend::Traits::dimRange·==·1,
 39 ·28·"PowerInterpolation·works·only·with·scalar·backends");
 40 ·29
 41 ·30·const·Backend·*backend;
 42 ·31
38 ·25·public:43 ·32·public:
39 ·2744 34·typedef·BasisTraits·Traits;
 45 ·35
 46 ·37
 47 43·PowerInterpolation(const·Backend·&backend_)·:·backend(&backend_)·{·}
 48 ·44
 49 ·45·private:
40 ·35·template<class·Backend>50 ·46·template<class·F>
 51 ·47·class·ComponentEvaluator
41 36·PowerCoefficients(const·Backend·&backend,·std::size_t·power)·: 
42 ·37·keys(backend.size()*power) 
43 ·38·{52 ·48·{
44 ·39·for(std::size_t·i·=·0;·i·<·backend.size();·++i)·{ 
45 ·40·const·LocalKey·&k·=·backend.localKey(i); 
46 ·41·for(std::size_t·d·=·0;·d·<·power;·++d) 
47 ·42·keys[i+d*backend.size()]·= 
48 ·43·LocalKey(k.subEntity(),·k.codim(),·power*k.index()·+·d); 
49 ·44·} 
50 ·45·} 
51 47·inline·std::size_t·size()·const·{·return·keys.size();·} 
52 ·48 
53 50·inline·const·LocalKey&·localKey(std::size_t·i)·const·{·return·keys[i];·} 
54 ·51·}; 
55 ·5253 ·49·const·F·&f;
 54 ·50·std::size_t·comp;
 55 ·51
 56 ·52·public:
 57 ·53·ComponentEvaluator(const·F·&f_,·std::size_t·comp_)·:
 58 ·54·f(f_),·comp(comp_)
 59 ·55·{·}
 60 ·56
 61 ·57·typename·Backend::Traits::Range·operator()(const·typename·Backend::Traits::
 62 DomainLocal·&x)·const
 63 ·58·{
 64 ·59·typename·Traits::Range·fy·=·f(x);
 65 ·60·typename·Backend::Traits::Range·y;
 66 ·61·y[0]·=·fy[comp];
 67 ·62·return·y;
 68 ·63·}
 69 ·64·};
 70 ·65
 71 ·66·public:
 72 ·68
 73 ·77·template<typename·F,·typename·C>
 74 78·void·interpolate(const·F&·ff,·std::vector<C>&·out)·const·{
 75 ·79
 76 ·80·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·Backend::Traits::
 77 DomainLocal>(ff);
 78 ·81
 79 ·82
 80 ·83·out.clear();
 81 ·84·std::vector<C>·cout;
 82 ·85·for(std::size_t·d·=·0;·d·<·Traits::dimRange;·++d)·{
 83 ·86·//·When·dropping·support·for·`evaluate()`·we·can·simply·use·a·lambda
 84 ·87·//·instead·of·ComponentEvaluator.·But·changing·this·now·would·break
 85 ·88·//·PowerInterpolation·for·FE-implementation·outside·of·dune-localfunctions
 86 ·89·//·which·may·not·have·been·adjusted·so·far.
 87 ·90·backend->interpolate(ComponentEvaluator<std::decay_t<decltype(f)>>(f,·d),
 88 cout);
 89 ·91·if(d·==·0)
 90 ·92·out.resize(cout.size()*Traits::dimRange);
 91 ·93·//·make·sure·the·size·of·cout·does·not·change·surprisingly
 92 ·94·assert(out.size()·==·cout.size()*Traits::dimRange);
 93 ·95·std::copy(cout.begin(),·cout.end(),·out.begin()·+·d*cout.size());
 94 ·96·}
 95 ·97·}
 96 ·98·};
 97 ·99
56 ·53}·//·namespace·Dune98 ·100}·//·namespace·Dune
57 ·5499 ·101
58 ·55#endif·//·DUNE_LOCALFUNCTIONS_META_POWER_COEFFICIENTS_HH100 ·102#endif·//·DUNE_LOCALFUNCTIONS_META_POWER_INTERPOLATION_HH
59 localkey.hh 
60 Dune101 Dune
61 Definition·bdfmcube.hh:18102 Definition·bdfmcube.hh:18
 103 Dune::PowerInterpolation
 104 Meta-interpolation·turning·a·scalar·interpolation·into·vector-valued
 105 interpolation.
 106 Definition·meta/power/interpolation.hh:26
 107 Dune::PowerInterpolation::interpolate
 108 void·interpolate(const·F·&ff,·std::vector<·C·>·&out)·const
 109 Determine·coefficients·interpolating·a·given·function.
 110 Definition·meta/power/interpolation.hh:78
 111 Dune::PowerInterpolation::Traits
 112 BasisTraits·Traits
 113 Export·basis·traits.
 114 Definition·meta/power/interpolation.hh:34
 115 Dune::PowerInterpolation::PowerInterpolation
 116 PowerInterpolation(const·Backend·&backend_)
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23 ·523 ·5
24 ·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COEFFICIENTS_HH24 ·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_INTERPOLATION_HH
25 ·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COEFFICIENTS_HH25 ·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_INTERPOLATION_HH
26 ·826 ·8
27 ·9#include·<cstddef>27 ·9#include·<cstddef>
28 ·10#include·<vector>28 ·10#include·<vector>
29 ·1129 ·11
30 ·12#include·<dune/localfunctions/common/localkey.hh> 
31 ·13#include·<dune/localfunctions/whitney/edges0.5/common.hh>30 ·12#include·<dune/localfunctions/whitney/edges0.5/common.hh>
 31 ·13#include·<dune/localfunctions/common/localinterpolation.hh>
32 ·1432 ·14
33 ·15namespace·Dune·{33 ·15namespace·Dune·{
34 ·1634 ·16
35 ·18·//35 ·18·//
36 ·19·//·Coefficients36 ·19·//·Interpolation
37 ·20·//37 ·20·//
38 ·2138 ·21
39 ·2339 ·23
 40 ·29·template<class·Geometry,·class·Traits_>
 41 30·class·EdgeS0_5Interpolation·:
 42 ·31·private·EdgeS0_5Common<Traits_::dimDomainLocal,
 43 ·32·typename·Traits_::DomainField>
 44 ·33·{
40 ·29·template<std::size_t·dim> 
41 30·class·EdgeS0_5Coefficients·:·private·EdgeS0_5Common<dim>·{ 
42 ·31·using·EdgeS0_5Common<dim>::s; 
43 ·32 
44 ·33·std::vector<LocalKey>·li; 
45 ·34 
46 ·35·public:45 ·34·public:
47 37·EdgeS0_5Coefficients()·:·li(s)·{ 
48 ·38·for(std::size_t·i·=·0;·i·<·s;·i++) 
49 ·39·li[i]·=·LocalKey(i,·dim-1,·0); 
50 ·40·} 
51 ·41 
52 43·std::size_t·size·()·const·{·return·s;·}46 35·typedef·Traits_·Traits;
 47 ·36
 48 ·37·private:
 49 ·38·static·const·std::size_t·dim·=·Traits::dimDomainLocal;
 50 ·39·typedef·EdgeS0_5Common<dim,_typename_Traits::DomainField>·Base;
 51 ·40·using·Base::refelem;
 52 ·41·using·Base::s;
 53 ·42
 54 ·43·std::vector<typename·Traits::DomainGlobal>·edgev;
53 ·4455 ·44
54 46·const·LocalKey&·localKey(std::size_t·i)·const·{·return·li[i];·} 
55 ·47·}; 
56 ·4856 ·45·public:
 57 ·47
 58 ·53·template<typename·VertexOrder>
 59 54·EdgeS0_5Interpolation(const·Geometry&·geo,
 60 ·55·const·VertexOrder&·vertexOrder)·:
 61 ·56·edgev(s)
 62 ·57·{
 63 ·58·for(std::size_t·i·=·0;·i·<·s;·++i)·{
 64 ·59·const·std::size_t·i0·=·refelem.subEntity(i,dim-1,0,dim);
 65 ·60·const·std::size_t·i1·=·refelem.subEntity(i,dim-1,1,dim);
 66 ·61
 67 ·62·edgev[i]·=·geo.corner(i1);
 68 ·63·edgev[i]·-=·geo.corner(i0);
 69 ·64·edgev[i]·/=·edgev[i].two_norm();
 70 ·65
 71 ·66·const·typename·VertexOrder::iterator&·edgeVertexOrder·=
 72 ·67·vertexOrder.begin(dim-1,·i);
 73 ·68·if(edgeVertexOrder[0]·>·edgeVertexOrder[1])
 74 ·69·edgev[i]·*=·-1;
 75 ·70·}
 76 ·71·}
 77 ·72
 78 ·74·template<typename·F,·typename·C>
 79 75·void·interpolate(const·F&·ff,·std::vector<C>&·out)·const·{
 80 ·76·typename·Traits::Range·y;
 81 ·77
 82 ·78·auto&&·f·=·Impl::makeFunctionWithCallOperator<std::decay_t<decltype
 83 (refelem.position(0,dim-1))>>(ff);
 84 ·79
 85 ·80·out.resize(s);
 86 ·81
 87 ·82·for(std::size_t·i·=·0;·i·<·s;·++i)·{
 88 ·83·y·=·f(refelem.position(i,dim-1));
 89 ·84
 90 ·85·out[i]·=·y·*·edgev[i];
 91 ·86·}
 92 ·87·}
 93 ·88·};
 94 ·89
57 ·49}·//·namespace·Dune95 ·90}·//·namespace·Dune
58 ·5096 ·91
59 ·51#endif·//·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COEFFICIENTS_HH97 ·92#endif·//·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_INTERPOLATION_HH
60 localkey.hh 
61 common.hh98 common.hh
62 Dune99 Dune
63 Definition·bdfmcube.hh:18100 Definition·bdfmcube.hh:18
64 Dune::LocalKey 
65 Describe·position·of·one·degree·of·freedom. 
66 Definition·localkey.hh:23 
67 Dune::EdgeS0_5Coefficients 
68 Coefficients·for·lowest·order·edge·elements·on·simplices. 
69 Definition·whitney/edges0.5/coefficients.hh:30 
70 Dune::EdgeS0_5Coefficients::localKey 
71 const·LocalKey·&·localKey(std::size_t·i)·const 
72 get·i'th·index 
73 Definition·whitney/edges0.5/coefficients.hh:46 
74 Dune::EdgeS0_5Coefficients::EdgeS0_5Coefficients 
75 EdgeS0_5Coefficients() 
76 Standard·constructor. 
77 Definition·whitney/edges0.5/coefficients.hh:37 
78 Dune::EdgeS0_5Coefficients::size 
79 std::size_t·size()·const 
80 number·of·coefficients 
81 Definition·whitney/edges0.5/coefficients.hh:43 
82 Dune::EdgeS0_5Common101 Dune::EdgeS0_5Common
83 Common·base·class·for·edge·elements.102 Common·base·class·for·edge·elements.
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76 ··<div·class="summary">76 ··<div·class="summary">
77 <a·href="#nested-classes">Classes</a>·&#124;77 <a·href="#nested-classes">Classes</a>·&#124;
78 <a·href="#namespaces">Namespaces</a>··</div>78 <a·href="#namespaces">Namespaces</a>··</div>
79 ··<div·class="headertitle"><div·class="title">rannacherturek.hh·File·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">rannacherturek.hh·File·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
82 <div·class="textblock"><code>#include·&lt;dune/geometry/type.hh&gt;</code><br·/>82 <div·class="textblock"><code>#include·&lt;dune/geometry/type.hh&gt;</code><br·/>
83 <code>#include·&lt;<a·class="el"·href="a00413_source.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>&gt;</code><br·/>83 <code>#include·&lt;<a·class="el"·href="a00095_source.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>&gt;</code><br·/>
84 <code>#include·&quot;<a·class="el"·href="a00551_source.html">rannachertureklocalbasis.hh</a>&quot;</code><br·/>84 <code>#include·&quot;<a·class="el"·href="a00167_source.html">rannachertureklocalbasis.hh</a>&quot;</code><br·/>
85 <code>#include·&quot;<a·class="el"·href="a00554_source.html">rannachertureklocalcoefficients.hh</a>&quot;</code><br·/>85 <code>#include·&quot;<a·class="el"·href="a00161_source.html">rannachertureklocalcoefficients.hh</a>&quot;</code><br·/>
86 <code>#include·&quot;<a·class="el"·href="a00560_source.html">rannachertureklocalinterpolation.hh</a>&quot;</code><br·/>86 <code>#include·&quot;<a·class="el"·href="a00164_source.html">rannachertureklocalinterpolation.hh</a>&quot;</code><br·/>
87 </div>87 </div>
88 <p><a·href="a04494_source.html">Go·to·the·source·code·of·this·file.</a></p>88 <p><a·href="a04494_source.html">Go·to·the·source·code·of·this·file.</a></p>
89 <table·class="memberdecls">89 <table·class="memberdecls">
90 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="nested-classes"·name="nested-classes"></a>90 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="nested-classes"·name="nested-classes"></a>
91 Classes</h2></td></tr>91 Classes</h2></td></tr>
92 <tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02205.html">Dune::RannacherTurekLocalFiniteElement&lt;·D,·R,·d·&gt;</a></td></tr>92 <tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02205.html">Dune::RannacherTurekLocalFiniteElement&lt;·D,·R,·d·&gt;</a></td></tr>
93 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Rannacher-Turek·shape·functions.··<a·href="a02205.html#details">More...</a><br·/></td></tr>93 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Rannacher-Turek·shape·functions.··<a·href="a02205.html#details">More...</a><br·/></td></tr>
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86 <div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment">//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file·LICENSE.md·in·module·root</span></div>86 <div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment">//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file·LICENSE.md·in·module·root</span></div>
87 <div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>87 <div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>
88 <div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_RANNACHER_TUREK_LOCALFINITEELEMENT_HH</span></div>88 <div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_RANNACHER_TUREK_LOCALFINITEELEMENT_HH</span></div>
89 <div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_RANNACHER_TUREK_LOCALFINITEELEMENT_HH</span></div>89 <div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_RANNACHER_TUREK_LOCALFINITEELEMENT_HH</span></div>
90 <div·class="line"><a·id="l00007"·name="l00007"></a><span·class="lineno">····7</span>·</div>90 <div·class="line"><a·id="l00007"·name="l00007"></a><span·class="lineno">····7</span>·</div>
91 <div·class="line"><a·id="l00008"·name="l00008"></a><span·class="lineno">····8</span><span·class="preprocessor">#include·&lt;dune/geometry/type.hh&gt;</span></div>91 <div·class="line"><a·id="l00008"·name="l00008"></a><span·class="lineno">····8</span><span·class="preprocessor">#include·&lt;dune/geometry/type.hh&gt;</span></div>
92 <div·class="line"><a·id="l00009"·name="l00009"></a><span·class="lineno">····9</span>·</div>92 <div·class="line"><a·id="l00009"·name="l00009"></a><span·class="lineno">····9</span>·</div>
93 <div·class="line"><a·id="l00010"·name="l00010"></a><span·class="lineno">···10</span><span·class="preprocessor">#include·&lt;<a·class="code"·href="a00413.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>&gt;</span></div>93 <div·class="line"><a·id="l00010"·name="l00010"></a><span·class="lineno">···10</span><span·class="preprocessor">#include·&lt;<a·class="code"·href="a00095.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>&gt;</span></div>
94 <div·class="line"><a·id="l00011"·name="l00011"></a><span·class="lineno">···11</span>·</div>94 <div·class="line"><a·id="l00011"·name="l00011"></a><span·class="lineno">···11</span>·</div>
95 <div·class="line"><a·id="l00012"·name="l00012"></a><span·class="lineno">···12</span><span·class="preprocessor">#include·&quot;<a·class="code"·href="a00551.html">rannachertureklocalbasis.hh</a>&quot;</span></div>95 <div·class="line"><a·id="l00012"·name="l00012"></a><span·class="lineno">···12</span><span·class="preprocessor">#include·&quot;<a·class="code"·href="a00167.html">rannachertureklocalbasis.hh</a>&quot;</span></div>
96 <div·class="line"><a·id="l00013"·name="l00013"></a><span·class="lineno">···13</span><span·class="preprocessor">#include·&quot;<a·class="code"·href="a00554.html">rannachertureklocalcoefficients.hh</a>&quot;</span></div>96 <div·class="line"><a·id="l00013"·name="l00013"></a><span·class="lineno">···13</span><span·class="preprocessor">#include·&quot;<a·class="code"·href="a00161.html">rannachertureklocalcoefficients.hh</a>&quot;</span></div>
97 <div·class="line"><a·id="l00014"·name="l00014"></a><span·class="lineno">···14</span><span·class="preprocessor">#include·&quot;<a·class="code"·href="a00560.html">rannachertureklocalinterpolation.hh</a>&quot;</span></div>97 <div·class="line"><a·id="l00014"·name="l00014"></a><span·class="lineno">···14</span><span·class="preprocessor">#include·&quot;<a·class="code"·href="a00164.html">rannachertureklocalinterpolation.hh</a>&quot;</span></div>
98 <div·class="line"><a·id="l00015"·name="l00015"></a><span·class="lineno">···15</span>·</div>98 <div·class="line"><a·id="l00015"·name="l00015"></a><span·class="lineno">···15</span>·</div>
99 <div·class="line"><a·id="l00016"·name="l00016"></a><span·class="lineno">···16</span><span·class="keyword">namespace·</span><a·class="code·hl_namespace"·href="a00583.html">Dune</a></div>99 <div·class="line"><a·id="l00016"·name="l00016"></a><span·class="lineno">···16</span><span·class="keyword">namespace·</span><a·class="code·hl_namespace"·href="a00583.html">Dune</a></div>
100 <div·class="line"><a·id="l00017"·name="l00017"></a><span·class="lineno">···17</span>{</div>100 <div·class="line"><a·id="l00017"·name="l00017"></a><span·class="lineno">···17</span>{</div>
101 <div·class="line"><a·id="l00018"·name="l00018"></a><span·class="lineno">···18</span>·</div>101 <div·class="line"><a·id="l00018"·name="l00018"></a><span·class="lineno">···18</span>·</div>
102 <div·class="line"><a·id="l00028"·name="l00028"></a><span·class="lineno">···28</span>··<span·class="keyword">template</span>&lt;·<span·class="keyword">class</span>·D,·<span·class="keyword">class</span>·R,·<span·class="keywordtype">unsigned</span>·<span·class="keywordtype">int</span>·d·&gt;</div>102 <div·class="line"><a·id="l00028"·name="l00028"></a><span·class="lineno">···28</span>··<span·class="keyword">template</span>&lt;·<span·class="keyword">class</span>·D,·<span·class="keyword">class</span>·R,·<span·class="keywordtype">unsigned</span>·<span·class="keywordtype">int</span>·d·&gt;</div>
103 <div·class="foldopen"·id="foldopen00029"·data-start="{"·data-end="};">103 <div·class="foldopen"·id="foldopen00029"·data-start="{"·data-end="};">
104 <div·class="line"><a·id="l00029"·name="l00029"></a><span·class="lineno"><a·class="line"·href="a02205.html">···29</a></span>··<span·class="keyword">struct·</span><a·class="code·hl_struct"·href="a02205.html">RannacherTurekLocalFiniteElement</a></div>104 <div·class="line"><a·id="l00029"·name="l00029"></a><span·class="lineno"><a·class="line"·href="a02205.html">···29</a></span>··<span·class="keyword">struct·</span><a·class="code·hl_struct"·href="a02205.html">RannacherTurekLocalFiniteElement</a></div>
574 B
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72 ·70·typename·Traits::LocalInterpolationType·localInterpolation_;72 ·70·typename·Traits::LocalInterpolationType·localInterpolation_;
73 ·71·};73 ·71·};
74 ·7274 ·72
75 ·73}·//·namespace·Dune75 ·73}·//·namespace·Dune
76 ·7476 ·74
77 ·75#endif·//·#ifndef·DUNE_RANNACHER_TUREK_LOCALFINITEELEMENT_HH77 ·75#endif·//·#ifndef·DUNE_RANNACHER_TUREK_LOCALFINITEELEMENT_HH
78 localfiniteelementtraits.hh78 localfiniteelementtraits.hh
79 rannachertureklocalbasis.hh 
80 rannachertureklocalcoefficients.hh79 rannachertureklocalcoefficients.hh
81 rannachertureklocalinterpolation.hh80 rannachertureklocalinterpolation.hh
 81 rannachertureklocalbasis.hh
82 Dune82 Dune
83 Definition·bdfmcube.hh:1883 Definition·bdfmcube.hh:18
84 Dune::LocalFiniteElementTraits84 Dune::LocalFiniteElementTraits
85 traits·helper·struct85 traits·helper·struct
86 Definition·localfiniteelementtraits.hh:1386 Definition·localfiniteelementtraits.hh:13
87 Dune::LocalFiniteElementTraits::LocalBasisType87 Dune::LocalFiniteElementTraits::LocalBasisType
88 LB·LocalBasisType88 LB·LocalBasisType
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77 <a·href="#nested-classes">Classes</a>·&#124;77 <a·href="#nested-classes">Classes</a>·&#124;
78 <a·href="#namespaces">Namespaces</a>··</div>78 <a·href="#namespaces">Namespaces</a>··</div>
79 ··<div·class="headertitle"><div·class="title">localfiniteelement.hh·File·Reference</div></div>79 ··<div·class="headertitle"><div·class="title">localfiniteelement.hh·File·Reference</div></div>
80 </div><!--header-->80 </div><!--header-->
81 <div·class="contents">81 <div·class="contents">
82 <div·class="textblock"><code>#include·&lt;dune/geometry/type.hh&gt;</code><br·/>82 <div·class="textblock"><code>#include·&lt;dune/geometry/type.hh&gt;</code><br·/>
83 <code>#include·&lt;dune/geometry/typeindex.hh&gt;</code><br·/>83 <code>#include·&lt;dune/geometry/typeindex.hh&gt;</code><br·/>
84 <code>#include·&lt;<a·class="el"·href="a00413_source.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>&gt;</code><br·/>84 <code>#include·&lt;<a·class="el"·href="a00095_source.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>&gt;</code><br·/>
85 <code>#include·&lt;<a·class="el"·href="a00038_source.html">dune/localfunctions/utility/l2interpolation.hh</a>&gt;</code><br·/>85 <code>#include·&lt;<a·class="el"·href="a00554_source.html">dune/localfunctions/utility/l2interpolation.hh</a>&gt;</code><br·/>
86 <code>#include·&lt;<a·class="el"·href="a00044_source.html">dune/localfunctions/utility/dglocalcoefficients.hh</a>&gt;</code><br·/>86 <code>#include·&lt;<a·class="el"·href="a00560_source.html">dune/localfunctions/utility/dglocalcoefficients.hh</a>&gt;</code><br·/>
87 </div>87 </div>
88 <p><a·href="a04497_source.html">Go·to·the·source·code·of·this·file.</a></p>88 <p><a·href="a04497_source.html">Go·to·the·source·code·of·this·file.</a></p>
89 <table·class="memberdecls">89 <table·class="memberdecls">
90 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="nested-classes"·name="nested-classes"></a>90 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="nested-classes"·name="nested-classes"></a>
91 Classes</h2></td></tr>91 Classes</h2></td></tr>
92 <tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02757.html">Dune::GenericLocalFiniteElement&lt;·BasisF,·CoeffF,·InterpolF·&gt;</a></td></tr>92 <tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02757.html">Dune::GenericLocalFiniteElement&lt;·BasisF,·CoeffF,·InterpolF·&gt;</a></td></tr>
93 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">A·LocalFiniteElement·implementation·based·on·three·TopologyFactories·providing·the·LocalBasis,·LocalCoefficients,·and·LocalInterpolations.·Note·the·key·type·for·all·three·factories·must·coincide.··<a·href="a02757.html#details">More...</a><br·/></td></tr>93 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">A·LocalFiniteElement·implementation·based·on·three·TopologyFactories·providing·the·LocalBasis,·LocalCoefficients,·and·LocalInterpolations.·Note·the·key·type·for·all·three·factories·must·coincide.··<a·href="a02757.html#details">More...</a><br·/></td></tr>
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87 <div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>87 <div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>
88 <div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_GENERIC_LOCALFINITEELEMENT_HH</span></div>88 <div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_GENERIC_LOCALFINITEELEMENT_HH</span></div>
89 <div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_GENERIC_LOCALFINITEELEMENT_HH</span></div>89 <div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_GENERIC_LOCALFINITEELEMENT_HH</span></div>
90 <div·class="line"><a·id="l00007"·name="l00007"></a><span·class="lineno">····7</span>·</div>90 <div·class="line"><a·id="l00007"·name="l00007"></a><span·class="lineno">····7</span>·</div>
91 <div·class="line"><a·id="l00008"·name="l00008"></a><span·class="lineno">····8</span><span·class="preprocessor">#include·&lt;dune/geometry/type.hh&gt;</span></div>91 <div·class="line"><a·id="l00008"·name="l00008"></a><span·class="lineno">····8</span><span·class="preprocessor">#include·&lt;dune/geometry/type.hh&gt;</span></div>
92 <div·class="line"><a·id="l00009"·name="l00009"></a><span·class="lineno">····9</span><span·class="preprocessor">#include·&lt;dune/geometry/typeindex.hh&gt;</span></div>92 <div·class="line"><a·id="l00009"·name="l00009"></a><span·class="lineno">····9</span><span·class="preprocessor">#include·&lt;dune/geometry/typeindex.hh&gt;</span></div>
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 16 #include·"../common/localfiniteelementtraits.hh"
 17 #include·"brezzidouglasmarini1cube3d/brezzidouglasmarini1cube3dlocalbasis.hh"
 18 #include·"brezzidouglasmarini1cube3d/
 19 brezzidouglasmarini1cube3dlocalcoefficients.hh"
 20 #include·"brezzidouglasmarini1cube3d/
 21 brezzidouglasmarini1cube3dlocalinterpolation.hh"
19 Go_to_the_source_code_of_this_file.22 Go_to_the_source_code_of_this_file.
20 ·Classes23 ·Classes
21 class· Dune::PQ22DLocalFiniteElement<_D,_R_>24 class· Dune::BDM1Cube3DLocalFiniteElement<_D,_R_>
 25  ······First·order·Brezzi-Douglas-Marini·shape·functions·on·hexahedron.
 26 ········More...
22  27  
23 ·Namespaces28 ·Namespaces
24 namespace· Dune29 namespace· Dune
25  30  
  
26 ===============================================================================31 ===============================================================================
27 ·····Generated·by [doxygen]·1.9.832 ·····Generated·by [doxygen]·1.9.8
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7 Loading...7 Loading...
8 Searching...8 Searching...
9 No·Matches9 No·Matches
10 ····*·dune10 ····*·dune
11 ····*·localfunctions11 ····*·localfunctions
12 ····*·lagrange 
13 pq22d.hh12 ····*·brezzidouglasmarini
 13 brezzidouglasmarini1cube3d.hh
14 Go_to_the_documentation_of_this_file.14 Go_to_the_documentation_of_this_file.
15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-15 ·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:16 ·2//·vi:·set·et·ts=4·sw=2·sts=2:
17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file17 ·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
18 LICENSE.md·in·module·root18 LICENSE.md·in·module·root
19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception19 ·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
20 ·5#ifndef·DUNE_PQ22DLOCALFINITEELEMENT_HH 
21 ·6#define·DUNE_PQ22DLOCALFINITEELEMENT_HH20 ·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE3D_LOCALFINITEELEMENT_HH
 21 ·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE3D_LOCALFINITEELEMENT_HH
22 ·722 ·7
23 ·8#include·<dune/common/fmatrix.hh>23 ·8#include·<dune/geometry/type.hh>
24 ·924 ·9
25 ·10#include·<dune/localfunctions/common/localfiniteelementvariant.hh> 
26 ·11 
27 ·12#include·<dune/localfunctions/lagrange/lagrangesimplex.hh> 
28 ·13#include·<dune/localfunctions/lagrange/lagrangecube.hh>25 ·10#include·"../common/localfiniteelementtraits.hh"
 26 ·11#include·"brezzidouglasmarini1cube3d/
 27 brezzidouglasmarini1cube3dlocalbasis.hh"
 28 ·12#include·"brezzidouglasmarini1cube3d/
 29 brezzidouglasmarini1cube3dlocalcoefficients.hh"
 30 ·13#include·"brezzidouglasmarini1cube3d/
 31 brezzidouglasmarini1cube3dlocalinterpolation.hh"
29 ·1432 ·14
30 ·15namespace·Dune33 ·15namespace·Dune
31 ·16{34 ·16{
32 ·17·template<class·D,·class·R>35 ·25·template<class·D,·class·R>
33 18·class·PQ22DLocalFiniteElement36 26·class·BDM1Cube3DLocalFiniteElement
 37 ·27·{
 38 ·28
34 ·19·{ 
35 ·20·using·LFEVariant·= 
36 LocalFiniteElementVariant<LagrangeSimplexLocalFiniteElement<D,R,2,2>, 
37 ·21·LagrangeCubeLocalFiniteElement<D,R,2,2>·>; 
38 ·22·public:39 ·29·public:
 40 ·30·typedef·LocalFiniteElementTraits<
 41 ·31·BDM1Cube3DLocalBasis<D,R>,
 42 ·32·BDM1Cube3DLocalCoefficients,
 43 33·BDM1Cube3DLocalInterpolation<BDM1Cube3DLocalBasis<D,R>·>·>·Traits;
39 23·using·Traits·=·typename·LFEVariant::Traits; 
40 ·24 
41 25·PQ22DLocalFiniteElement·(·const·GeometryType·&gt·) 
42 ·26·{ 
43 ·27·if·(·gt.isTriangle()·) 
44 ·28·lfeVariant_·=·LagrangeSimplexLocalFiniteElement<D,R,2,2>(); 
45 ·29·else·if·(·gt.isQuadrilateral()·) 
46 ·30·lfeVariant_·=·LagrangeCubeLocalFiniteElement<D,R,2,2>(); 
47 ·31·} 
48 ·32 
49 33·PQ22DLocalFiniteElement·(·const·GeometryType·&gt,·const·std::vector<unsigned 
50 int>·vertexmap·) 
51 ·34·{44 ·34
52 ·35·if·(·gt.isTriangle()·) 
53 ·36·lfeVariant_·=·LagrangeSimplexLocalFiniteElement<D,R,2,2>(vertexmap); 
54 ·37·else·if·(·gt.isQuadrilateral()·) 
55 ·38·lfeVariant_·=·LagrangeCubeLocalFiniteElement<D,R,2,2>(); 
56 ·39·} 
57 ·4045 36·BDM1Cube3DLocalFiniteElement()
 46 ·37·{}
 47 ·38
 48 44·BDM1Cube3DLocalFiniteElement(int·s)
 49 ·45·:·basis(s)
 50 ·46·,·interpolation(s)
 51 ·47·{}
 52 ·48
58 41·const·typename·Traits::LocalBasisType&·localBasis·()·const53 49·const·typename·Traits::LocalBasisType&·localBasis()·const
59 ·42·{ 
60 ·43·return·lfeVariant_.localBasis(); 
61 ·44·} 
62 ·4554 ·50·{
 55 ·51·return·basis;
 56 ·52·}
 57 ·53
63 46·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const58 54·const·typename·Traits::LocalCoefficientsType&·localCoefficients()·const
64 ·47·{ 
65 ·48·return·lfeVariant_.localCoefficients(); 
66 ·49·} 
67 ·5059 ·55·{
 60 ·56·return·coefficients;
 61 ·57·}
 62 ·58
68 51·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const63 59·const·typename·Traits::LocalInterpolationType&·localInterpolation()·const
69 ·52·{ 
70 ·53·return·lfeVariant_.localInterpolation(); 
71 ·54·} 
72 ·5564 ·60·{
 65 ·61·return·interpolation;
 66 ·62·}
 67 ·63
73 57·unsigned·int·size·()·const68 65·unsigned·int·size·()·const
74 ·58·{ 
75 ·59·return·lfeVariant_.size(); 
76 ·60·} 
77 ·61 
78 62·GeometryType·type·()·const 
79 ·63·{69 ·66·{
80 ·64·return·lfeVariant_.type();70 ·67·return·basis.size();
81 ·65·}71 ·68·}
82 ·6672 ·69
 73 70·static·constexpr·GeometryType·type()
 74 ·71·{
 75 ·72·return·GeometryTypes::hexahedron;
 76 ·73·}
 77 ·74
83 ·67·private:78 ·75·private:
84 ·68 
85 ·69·LFEVariant·lfeVariant_;79 ·76·BDM1Cube3DLocalBasis<D,R>·basis;
 80 ·77·BDM1Cube3DLocalCoefficients·coefficients;
 81 ·78·BDM1Cube3DLocalInterpolation<BDM1Cube3DLocalBasis<D,R>·>·interpolation;
86 ·70·};82 ·79·};
 83 ·80}·//·end·namespace·Dune
 84 ·81#endif·/
 85 /·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE3D_LOCALFINITEELEMENT_HH
 86 brezzidouglasmarini1cube3dlocalbasis.hh
 87 brezzidouglasmarini1cube3dlocalinterpolation.hh
 88 brezzidouglasmarini1cube3dlocalcoefficients.hh
87 ·71 
88 ·72} 
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10 ····*·dune10 ····*·dune
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12 ····*·lagrange 
13 Namespaces·|·Typedefs 
14 prismp1.hh·File·Reference 
15 #include·<dune/localfunctions/lagrange/lagrangeprism.hh>12 ····*·brezzidouglasmarini
 13 ····*·brezzidouglasmarini1cube2d
 14 Classes·|·Namespaces
 15 brezzidouglasmarini1cube2dlocalcoefficients.hh·File·Reference
 16 #include·<cstddef>
 17 #include·<vector>
 18 #include·"../../common/localkey.hh"
16 Go_to_the_source_code_of_this_file.19 Go_to_the_source_code_of_this_file.
 20 ·Classes
 21 class· Dune::BDM1Cube2DLocalCoefficients
 22  ······Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·quadrilaterals.
 23 ········More...
 24  
17 ·Namespaces25 ·Namespaces
18 namespace· Dune26 namespace· Dune
19  27  
20 ·Typedefs 
21 template<class·D·,·class·R·> 
22 using Dune::PrismP1LocalFiniteElement·=·LagrangePrismLocalFiniteElement<·D,·R, 
23 ·······1·> 
24  ·····First-order·Lagrangian·finite·element·on·a·prism. 
25   
  
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12 ····*·lagrange12 ····*·lagrange
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14 p1.hh·File·Reference13 Classes·|·Namespaces
 14 lagrangecube.hh·File·Reference
 15 #include·<array>
 16 #include·<numeric>
 17 #include·<dune/common/fmatrix.hh>
 18 #include·<dune/common/fvector.hh>
 19 #include·<dune/common/math.hh>
 20 #include·<dune/geometry/referenceelements.hh>
15 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>21 #include·<dune/localfunctions/common/localbasis.hh>
 22 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 23 #include·<dune/localfunctions/common/localinterpolation.hh>
 24 #include·<dune/localfunctions/common/localkey.hh>
16 Go_to_the_source_code_of_this_file.25 Go_to_the_source_code_of_this_file.
 26 ·Classes
 27 class· Dune::LagrangeCubeLocalFiniteElement<_D,_R,_dim,_k_>
 28  ······Lagrange·finite·element·for·cubes·with·arbitrary·compile-time·dimension
 29 ········and·polynomial·order.·More...
 30  
17 ·Namespaces31 ·Namespaces
18 namespace· Dune32 namespace· Dune
19  33  
20 ·Typedefs 
21 template<class·D·,·class·R·,·int·dim> 
22 using Dune::P1LocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R, 
23 ·······dim,·1·> 
24  ·····The·local·p1·finite·element·on·simplices. 
25   
  
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 14 lagrangeprism.hh·File·Reference
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 18 #include·<dune/common/fvector.hh>
 19 #include·<dune/common/math.hh>
 20 #include·<dune/geometry/referenceelements.hh>
15 #include·<dune/localfunctions/lagrange/lagrangesimplex.hh>21 #include·<dune/localfunctions/common/localbasis.hh>
 22 #include·<dune/localfunctions/common/localfiniteelementtraits.hh>
 23 #include·<dune/localfunctions/common/localinterpolation.hh>
 24 #include·<dune/localfunctions/common/localkey.hh>
16 Go_to_the_source_code_of_this_file.25 Go_to_the_source_code_of_this_file.
 26 ·Classes
 27 class· Dune::LagrangePrismLocalFiniteElement<_D,_R,_k_>
 28  ······Lagrange·finite·element·for·3d·prisms·with·arbitrary·compile-time
 29 ········polynomial·order.·More...
 30  
17 ·Namespaces31 ·Namespaces
18 namespace· Dune32 namespace· Dune
19  33  
20 ·Typedefs 
21 template<class·D·,·class·R·,·int·d,·int·k> 
22 using Dune::PkLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,·d, 
23 ·······k·> 
24   
  
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