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1 | Package:·python-sfepy-doc | 1 | Package:·python-sfepy-doc |
2 | Source:·sfepy | 2 | Source:·sfepy |
3 | Version:·2021.4-4 | 3 | Version:·2021.4-4 |
4 | Architecture:·all | 4 | Architecture:·all |
5 | Maintainer:·Debian·Science·Maintainers·<debian-science-maintainers@lists.alioth.debian.org> | 5 | Maintainer:·Debian·Science·Maintainers·<debian-science-maintainers@lists.alioth.debian.org> |
6 | Installed-Size:·4623 | 6 | Installed-Size:·46233 |
7 | Depends:·libjs-sphinxdoc·(>=·5.2),·sphinx-rtd-theme-common·(>=·1.2.0+dfsg) | 7 | Depends:·libjs-sphinxdoc·(>=·5.2),·sphinx-rtd-theme-common·(>=·1.2.0+dfsg) |
8 | Recommends:·python3-sfepy | 8 | Recommends:·python3-sfepy |
9 | Section:·doc | 9 | Section:·doc |
10 | Priority:·optional | 10 | Priority:·optional |
11 | Homepage:·https://sfepy.org | 11 | Homepage:·https://sfepy.org |
12 | Description:·Simple·Finite·Elements·in·Python·(documentation) | 12 | Description:·Simple·Finite·Elements·in·Python·(documentation) |
13 | ·SfePy·is·a·software·for·solving·systems·of·coupled·partial·differential | 13 | ·SfePy·is·a·software·for·solving·systems·of·coupled·partial·differential |
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3 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2023-01-22·17:12:28.000000·./usr/share/ | 3 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2023-01-22·17:12:28.000000·./usr/share/ |
4 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2023-01-22·17:12:28.000000·./usr/share/doc/ | 4 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2023-01-22·17:12:28.000000·./usr/share/doc/ |
5 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2023-01-22·17:12:28.000000·./usr/share/doc/python-sfepy-doc/ | 5 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2023-01-22·17:12:28.000000·./usr/share/doc/python-sfepy-doc/ |
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9 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2023-01-22·17:12:28.000000·./usr/share/doc/python-sfepy-doc/examples/ | 9 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2023-01-22·17:12:28.000000·./usr/share/doc/python-sfepy-doc/examples/ |
10 | -rw-r--r--···0·root·········(0)·root·········(0)········0·2021-12-28·23:01:29.000000·./usr/share/doc/python-sfepy-doc/examples/__init__.py | 10 | -rw-r--r--···0·root·········(0)·root·········(0)········0·2021-12-28·23:01:29.000000·./usr/share/doc/python-sfepy-doc/examples/__init__.py |
11 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2023-01-22·17:12:28.000000·./usr/share/doc/python-sfepy-doc/examples/acoustics/ | 11 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2023-01-22·17:12:28.000000·./usr/share/doc/python-sfepy-doc/examples/acoustics/ |
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13 | -rw-r--r--···0·root·········(0)·root·········(0)·····1751·2021-12-28·23:01:29.000000·./usr/share/doc/python-sfepy-doc/examples/acoustics/acoustics.py | 13 | -rw-r--r--···0·root·········(0)·root·········(0)·····1751·2021-12-28·23:01:29.000000·./usr/share/doc/python-sfepy-doc/examples/acoustics/acoustics.py |
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140 | 2.3.7 | 140 | 2.3.7 |
141 | Multi-linear·Terms·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·. | 141 | Multi-linear·Terms·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·. |
142 | 2.3.8 | 142 | 2.3.8 |
143 | How·To·Make·a·Release·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·. | 143 | How·To·Make·a·Release·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·. |
144 | 2.3.9 | 144 | 2.3.9 |
145 | Module·Index·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·. | 145 | Module·Index·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·.·. |
146 | 135 | ||
147 | 135 | ||
148 | 135 | ||
149 | 136 | ||
150 | 136 | ||
146 | 137 | 151 | 137 |
147 | 137 | ||
148 | 137 | ||
149 | 138 | ||
150 | 138 | 152 | 138 |
151 | 139 | 153 | 139 |
154 | 144 | ||
155 | 144 | ||
156 | 151 | ||
152 | 140 | ||
153 | 141 | ||
154 | 146 | ||
155 | 146 | ||
156 | 153 | 157 | 153 |
157 | 155 | 158 | 155 |
158 | 157 | ||
159 | 1.7 | 159 | 1.7 |
160 | 1.8 | 160 | 1.8 |
161 | 2 | 161 | 2 |
162 | Bibliography | 162 | Bibliography |
163 | 5 | 163 | 549 |
164 | Python·Module·Index | 164 | Python·Module·Index |
165 | 55 | 165 | 551 |
166 | Index | 166 | Index |
167 | 55 | 167 | 555 |
168 | ii | 168 | ii |
169 | \xcSfePy·Documentation,·Release·version:·2021.4 | 169 | \xcSfePy·Documentation,·Release·version:·2021.4 |
170 | •·genindex | 170 | •·genindex |
171 | •·modindex | 171 | •·modindex |
Offset 5648, 18 lines modified | Offset 5648, 18 lines modified | ||
5648 | CauchyStrainTerm | 5648 | CauchyStrainTerm |
5649 | ∫︁ | 5649 | ∫︁ |
5650 | 𝑝·𝛼𝑖𝑗·𝑒𝑖𝑗·(𝑣)·, | 5650 | 𝑝·𝛼𝑖𝑗·𝑒𝑖𝑗·(𝑣)·, |
5651 | bio.sho.syn, | 5651 | bio.sho.syn, |
5652 | the.ela, | ||
5652 | bio.npb.lag, | ||
5653 | bio.npb, | ||
5654 | the.ela.ess, | 5653 | the.ela.ess, |
5655 | bio,· | 5654 | bio,·bio.npb.lag, |
5655 | bio.npb | ||
5656 | ∫︁ | 5656 | ∫︁ |
5657 | Ω | 5657 | Ω |
5658 | 𝑞·𝛼𝑖𝑗·𝑒𝑖𝑗·(𝑢) | 5658 | 𝑞·𝛼𝑖𝑗·𝑒𝑖𝑗·(𝑢) |
5659 | Ω | 5659 | Ω |
Offset 5762, 16 lines modified | Offset 5762, 16 lines modified | ||
5762 | dw_convect | 5762 | dw_convect |
5763 | ConvectTerm | 5763 | ConvectTerm |
5764 | <virtual>, | 5764 | <virtual>, |
5765 | <state> | 5765 | <state> |
5766 | nav.sto.iga, | ||
5767 | nav.sto,·nav.sto | 5766 | nav.sto,·nav.sto, |
5767 | nav.sto.iga | ||
5768 | ∫︁ | 5768 | ∫︁ |
5769 | ((𝑢···∇)𝑢)···𝑣 | 5769 | ((𝑢···∇)𝑢)···𝑣 |
5770 | Ω | 5770 | Ω |
5771 | ev_def_grad | 5771 | ev_def_grad |
5772 | <parameter> | 5772 | <parameter> |
Offset 5805, 16 lines modified | Offset 5805, 16 lines modified | ||
5805 | <virtual>, | 5805 | <virtual>, |
5806 | 𝑛···𝑓·*·(𝑝𝑖𝑛·,·𝑝𝑜𝑢𝑡·)𝑞 | 5806 | 𝑛···𝑓·*·(𝑝𝑖𝑛·,·𝑝𝑜𝑢𝑡·)𝑞 |
5807 | <state> | 5807 | <state> |
5808 | 𝜕𝑇𝐾 | 5808 | 𝜕𝑇𝐾 |
5809 | name/class | 5809 | name/class |
5810 | examples | 5810 | examples |
5811 | adv.dif.2D, | ||
5811 | adv.2D,·adv.1D | 5812 | adv.2D,·adv.1D |
5812 | adv.dif.2D | ||
5813 | where | 5813 | where |
5814 | 𝑓·*·(𝑝𝑖𝑛·,·𝑝𝑜𝑢𝑡·)·=·𝑎 | 5814 | 𝑓·*·(𝑝𝑖𝑛·,·𝑝𝑜𝑢𝑡·)·=·𝑎 |
5815 | dw_dg_diffusion_flux | 5815 | dw_dg_diffusion_flux |
5816 | <material>, | 5816 | <material>, |
5817 | DiffusionDGFluxTerm | 5817 | DiffusionDGFluxTerm |
5818 | <state>, | 5818 | <state>, |
Offset 5833, 16 lines modified | Offset 5833, 17 lines modified | ||
5833 | 2 | 5833 | 2 |
5834 | 2 | 5834 | 2 |
5835 | 𝐷⟨∇𝑝⟩[𝑞]·, | 5835 | 𝐷⟨∇𝑝⟩[𝑞]·, |
5836 | 𝜕𝑇𝐾 | 5836 | 𝜕𝑇𝐾 |
5837 | 5837 | lap.2D, | |
5838 | adv.dif.2D | 5838 | adv.dif.2D, |
5839 | bur.2D | ||
5839 | ∫︁ | 5840 | ∫︁ |
5840 | 𝐷⟨∇𝑞⟩[𝑝] | 5841 | 𝐷⟨∇𝑞⟩[𝑝] |
5841 | 𝜕𝑇𝐾 | 5842 | 𝜕𝑇𝐾 |
5842 | ⟨∇𝜑⟩·= | 5843 | ⟨∇𝜑⟩·= |
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Offset 53, 15 lines modified | Offset 53, 15 lines modified | ||
53 | ·······``<material>``,·``<state>``,·``<virtual>`` | 53 | ·······``<material>``,·``<state>``,·``<virtual>`` |
54 | ·······``<material>``,·``<parameter_v>``,·``<parameter_s>`` | 54 | ·······``<material>``,·``<parameter_v>``,·``<parameter_s>`` |
55 | ·····-·..·math:: | 55 | ·····-·..·math:: |
56 | ············\int_{\Omega}·p\·\alpha_{ij}·e_{ij}(\ul{v})·\mbox{·,·} | 56 | ············\int_{\Omega}·p\·\alpha_{ij}·e_{ij}(\ul{v})·\mbox{·,·} |
57 | ···········\int_{\Omega}·q\·\alpha_{ij}·e_{ij}(\ul{u}) | 57 | ···········\int_{\Omega}·q\·\alpha_{ij}·e_{ij}(\ul{u}) |
58 | ·····-·:ref:`bio.npb·<multi_physics-biot_npbc>`,·:ref:`the.ela.ess·<multi_physics-thermo_elasticity_ess>`,·:ref:`bio | 58 | ·····-·:ref:`bio.npb·<multi_physics-biot_npbc>`,·:ref:`the.ela.ess·<multi_physics-thermo_elasticity_ess>`,·:ref:`bio·<multi_physics-biot>`,·:ref:`bio.npb.lag·<multi_physics-biot_npbc_lagrange>`,·:ref:`the.ela·<multi_physics-thermo_elasticity>`,·:ref:`bio.sho.syn·<multi_physics-biot_short_syntax>` |
59 | ···*·-·ev_cauchy_strain | 59 | ···*·-·ev_cauchy_strain |
60 | ·······:class:`CauchyStrainTerm·<sfepy.terms.terms_elastic.CauchyStrainTerm>` | 60 | ·······:class:`CauchyStrainTerm·<sfepy.terms.terms_elastic.CauchyStrainTerm>` |
61 | ·····-·``<parameter>`` | 61 | ·····-·``<parameter>`` |
62 | ·····-·..·math:: | 62 | ·····-·..·math:: |
63 | ············\int_{\cal{D}}·\ull{e}(\ul{w}) | 63 | ············\int_{\cal{D}}·\ull{e}(\ul{w}) |
Offset 117, 15 lines modified | Offset 117, 15 lines modified | ||
117 | ·····-·:ref:`poi.fun·<diffusion-poisson_functions>` | 117 | ·····-·:ref:`poi.fun·<diffusion-poisson_functions>` |
118 | ···*·-·dw_convect | 118 | ···*·-·dw_convect |
119 | ·······:class:`ConvectTerm·<sfepy.terms.terms_navier_stokes.ConvectTerm>` | 119 | ·······:class:`ConvectTerm·<sfepy.terms.terms_navier_stokes.ConvectTerm>` |
120 | ·····-·``<virtual>``,·``<state>`` | 120 | ·····-·``<virtual>``,·``<state>`` |
121 | ·····-·..·math:: | 121 | ·····-·..·math:: |
122 | ············\int_{\Omega}·((\ul{u}·\cdot·\nabla)·\ul{u})·\cdot·\ul{v} | 122 | ············\int_{\Omega}·((\ul{u}·\cdot·\nabla)·\ul{u})·\cdot·\ul{v} |
123 | ·····-·:ref:`nav.sto·<navier_stokes-navier_stokes | 123 | ·····-·:ref:`nav.sto·<navier_stokes-navier_stokes>`,·:ref:`nav.sto·<navier_stokes-navier_stokes2d>`,·:ref:`nav.sto.iga·<navier_stokes-navier_stokes2d_iga>` |
124 | ···*·-·ev_def_grad | 124 | ···*·-·ev_def_grad |
125 | ·······:class:`DeformationGradientTerm·<sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm>` | 125 | ·······:class:`DeformationGradientTerm·<sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm>` |
126 | ·····-·``<parameter>`` | 126 | ·····-·``<parameter>`` |
127 | ·····-·..·math:: | 127 | ·····-·..·math:: |
128 | ············\ull{F}·=·\pdiff{\ul{x}}{\ul{X}}|_{qp}·=·\ull{I}·+ | 128 | ············\ull{F}·=·\pdiff{\ul{x}}{\ul{X}}|_{qp}·=·\ull{I}·+ |
129 | ···········\pdiff{\ul{u}}{\ul{X}}|_{qp}·\;,·\\·\ul{x}·=·\ul{X}·+·\ul{u}·\;,·J | 129 | ···········\pdiff{\ul{u}}{\ul{X}}|_{qp}·\;,·\\·\ul{x}·=·\ul{X}·+·\ul{u}·\;,·J |
Offset 141, 15 lines modified | Offset 141, 15 lines modified | ||
141 | ·······where | 141 | ·······where |
142 | ··········· | 142 | ··········· |
143 | ·······..·math:: | 143 | ·······..·math:: |
144 | ············\ul{f}^{*}(p_{in},·p_{out})·=·\ul{a}·\frac{p_{in}·+ | 144 | ············\ul{f}^{*}(p_{in},·p_{out})·=·\ul{a}·\frac{p_{in}·+ |
145 | ···········p_{out}}{2}·+·(1·-·\alpha)·\ul{n}·C·\frac{·p_{in}·-·p_{out}}{2}, | 145 | ···········p_{out}}{2}·+·(1·-·\alpha)·\ul{n}·C·\frac{·p_{in}·-·p_{out}}{2}, |
146 | ·····-·:ref:`adv. | 146 | ·····-·:ref:`adv.1D·<dg-advection_1D>`,·:ref:`adv.2D·<dg-advection_2D>`,·:ref:`adv.dif.2D·<dg-advection_diffusion_2D>` |
147 | ···*·-·dw_dg_diffusion_flux | 147 | ···*·-·dw_dg_diffusion_flux |
148 | ·······:class:`DiffusionDGFluxTerm·<sfepy.terms.terms_dg.DiffusionDGFluxTerm>` | 148 | ·······:class:`DiffusionDGFluxTerm·<sfepy.terms.terms_dg.DiffusionDGFluxTerm>` |
149 | ·····-·``<material>``,·``<state>``,·``<virtual>`` | 149 | ·····-·``<material>``,·``<state>``,·``<virtual>`` |
150 | ·······``<material>``,·``<virtual>``,·``<state>`` | 150 | ·······``<material>``,·``<virtual>``,·``<state>`` |
151 | ·····-·..·math:: | 151 | ·····-·..·math:: |
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161 | ·······..·math:: | 161 | ·······..·math:: |
162 | ············\langle·\nabla·\phi·\rangle·=·\frac{\nabla\phi_{in}·+ | 162 | ············\langle·\nabla·\phi·\rangle·=·\frac{\nabla\phi_{in}·+ |
163 | ···········\nabla\phi_{out}}{2} | 163 | ···········\nabla\phi_{out}}{2} |
164 | ·······..·math:: | 164 | ·······..·math:: |
165 | ············[\phi]·=·\phi_{in}·-·\phi_{out} | 165 | ············[\phi]·=·\phi_{in}·-·\phi_{out} |
166 | ·····-·:ref:` | 166 | ·····-·:ref:`adv.dif.2D·<dg-advection_diffusion_2D>`,·:ref:`bur.2D·<dg-burgers_2D>`,·:ref:`lap.2D·<dg-laplace_2D>` |
167 | ···*·-·dw_dg_interior_penalty | 167 | ···*·-·dw_dg_interior_penalty |
168 | ·······:class:`DiffusionInteriorPenaltyTerm·<sfepy.terms.terms_dg.DiffusionInteriorPenaltyTerm>` | 168 | ·······:class:`DiffusionInteriorPenaltyTerm·<sfepy.terms.terms_dg.DiffusionInteriorPenaltyTerm>` |
169 | ·····-·``<material>``,·``<material_Cw>``,·``<virtual>``,·``<state>`` | 169 | ·····-·``<material>``,·``<material_Cw>``,·``<virtual>``,·``<state>`` |
170 | ·····-·..·math:: | 170 | ·····-·..·math:: |
171 | ············\int_{\partial{T_K}}·\bar{D}·C_w | 171 | ············\int_{\partial{T_K}}·\bar{D}·C_w |
172 | ···········\frac{Ord^2}{d(\partial{T_K})}[p][q] | 172 | ···········\frac{Ord^2}{d(\partial{T_K})}[p][q] |
173 | ·······where | 173 | ·······where |
174 | ··········· | 174 | ··········· |
175 | ·······..·math:: | 175 | ·······..·math:: |
176 | ············[\phi]·=·\phi_{in}·-·\phi_{out} | 176 | ············[\phi]·=·\phi_{in}·-·\phi_{out} |
177 | ·····-·:ref:` | 177 | ·····-·:ref:`adv.dif.2D·<dg-advection_diffusion_2D>`,·:ref:`bur.2D·<dg-burgers_2D>`,·:ref:`lap.2D·<dg-laplace_2D>` |
178 | ···*·-·dw_dg_nonlinear_laxfrie_flux | 178 | ···*·-·dw_dg_nonlinear_laxfrie_flux |
179 | ·······:class:`NonlinearHyperbolicDGFluxTerm·<sfepy.terms.terms_dg.NonlinearHyperbolicDGFluxTerm>` | 179 | ·······:class:`NonlinearHyperbolicDGFluxTerm·<sfepy.terms.terms_dg.NonlinearHyperbolicDGFluxTerm>` |
180 | ·····-·``<opt_material>``,·``<fun>``,·``<fun_d>``,·``<virtual>``,·``<state>`` | 180 | ·····-·``<opt_material>``,·``<fun>``,·``<fun_d>``,·``<virtual>``,·``<state>`` |
181 | ·····-·..·math:: | 181 | ·····-·..·math:: |
182 | ············\int_{\partial{T_K}}·\ul{n}·\cdot·f^{*}·(p_{in},·p_{out})q | 182 | ············\int_{\partial{T_K}}·\ul{n}·\cdot·f^{*}·(p_{in},·p_{out})q |
Offset 233, 27 lines modified | Offset 233, 27 lines modified | ||
233 | ·······:class:`DiffusionTerm·<sfepy.terms.terms_diffusion.DiffusionTerm>` | 233 | ·······:class:`DiffusionTerm·<sfepy.terms.terms_diffusion.DiffusionTerm>` |
234 | ·····-·``<material>``,·``<virtual>``,·``<state>`` | 234 | ·····-·``<material>``,·``<virtual>``,·``<state>`` |
235 | ·······``<material>``,·``<parameter_1>``,·``<parameter_2>`` | 235 | ·······``<material>``,·``<parameter_1>``,·``<parameter_2>`` |
236 | ·····-·..·math:: | 236 | ·····-·..·math:: |
237 | ············\int_{\Omega}·K_{ij}·\nabla_i·q·\nabla_j·p·\mbox{·,·} | 237 | ············\int_{\Omega}·K_{ij}·\nabla_i·q·\nabla_j·p·\mbox{·,·} |
238 | ···········\int_{\Omega}·K_{ij}·\nabla_i·\bar{p}·\nabla_j·r | 238 | ···········\int_{\Omega}·K_{ij}·\nabla_i·\bar{p}·\nabla_j·r |
239 | ·····-·:ref:`bio.npb·<multi_physics-biot_npbc>`,·:ref:`bio | 239 | ·····-·:ref:`bio.npb·<multi_physics-biot_npbc>`,·:ref:`bio·<multi_physics-biot>`,·:ref:`dar.flo.mul·<diffusion-darcy_flow_multicomp>`,·:ref:`bio.npb.lag·<multi_physics-biot_npbc_lagrange>`,·:ref:`poi.neu·<diffusion-poisson_neumann>`,·:ref:`pie.ela·<multi_physics-piezo_elasticity>`,·:ref:`bio.sho.syn·<multi_physic[·...·truncated·by·diffoscope;·len:·19,·SHA:·507380f4991a0becdbcf17adb179e6d7452ee5471212f71191ae4408bcc0b6a8·...·]>` |
240 | ···*·-·dw_div_grad | 240 | ···*·-·dw_div_grad |
241 | ·······:class:`DivGradTerm·<sfepy.terms.terms_navier_stokes.DivGradTerm>` | 241 | ·······:class:`DivGradTerm·<sfepy.terms.terms_navier_stokes.DivGradTerm>` |
242 | ·····-·``<opt_material>``,·``<virtual>``,·``<state>`` | 242 | ·····-·``<opt_material>``,·``<virtual>``,·``<state>`` |
243 | ·······``<opt_material>``,·``<parameter_1>``,·``<parameter_2>`` | 243 | ·······``<opt_material>``,·``<parameter_1>``,·``<parameter_2>`` |
244 | ·····-·..·math:: | 244 | ·····-·..·math:: |
245 | ············\int_{\Omega}·\nu\·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·, | 245 | ············\int_{\Omega}·\nu\·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·, |
246 | ···········}·\int_{\Omega}·\nu\·\nabla·\ul{u}·:·\nabla·\ul{w}·\\ | 246 | ···········}·\int_{\Omega}·\nu\·\nabla·\ul{u}·:·\nabla·\ul{w}·\\ |
247 | ···········\int_{\Omega}·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·,·} | 247 | ···········\int_{\Omega}·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·,·} |
248 | ···········\int_{\Omega}·\nabla·\ul{u}·:·\nabla·\ul{w} | 248 | ···········\int_{\Omega}·\nabla·\ul{u}·:·\nabla·\ul{w} |
249 | ·····-·:ref:`st | 249 | ·····-·:ref:`sto·<navier_stokes-stokes>`,·:ref:`sto.sli.bc·<navier_stokes-stokes_slip_bc>`,·:ref:`sta.nav.sto·<navier_stokes-stabilized_navier_stokes>`,·:ref:`nav.sto·<navier_stokes-navier_stokes2d>`,·:ref:`nav.sto·<navier_stokes-navier_stokes>`,·:ref:`nav.sto.iga·<navie[·...·truncated·by·diffoscope;·len:·28,·SHA:·971851d2b49284887b329dd5a04fc3a7d2b02a31a8aed5fcade057318f9667c8·...·]>` |
250 | ···*·-·dw_div | 250 | ···*·-·dw_div |
251 | ·······:class:`DivOperatorTerm·<sfepy.terms.terms_navier_stokes.DivOperatorTerm>` | 251 | ·······:class:`DivOperatorTerm·<sfepy.terms.terms_navier_stokes.DivOperatorTerm>` |
252 | ·····-·``<opt_material>``,·``<virtual>`` | 252 | ·····-·``<opt_material>``,·``<virtual>`` |
253 | ·····-·..·math:: | 253 | ·····-·..·math:: |
254 | ············\int_{\Omega}·\nabla·\cdot·\ul{v}·\mbox·{·or·} | 254 | ············\int_{\Omega}·\nabla·\cdot·\ul{v}·\mbox·{·or·} |
255 | ···········\int_{\Omega}·c·\nabla·\cdot·\ul{v} | 255 | ···········\int_{\Omega}·c·\nabla·\cdot·\ul{v} |
Offset 284, 15 lines modified | Offset 284, 15 lines modified | ||
284 | ···········\int_\Gamma·q·\ul{n}·\cdot·\ul{u}·\mbox{·,·}·\int_{\cal{D}}·p·r | 284 | ···········\int_\Gamma·q·\ul{n}·\cdot·\ul{u}·\mbox{·,·}·\int_{\cal{D}}·p·r |
285 | ···········\mbox{·,·}·\int_{\cal{D}}·\ul{u}·\cdot·\ul{w}·\mbox{·,·} | 285 | ···········\mbox{·,·}·\int_{\cal{D}}·\ul{u}·\cdot·\ul{w}·\mbox{·,·} |
286 | ···········\int_\Gamma·\ul{w}·\cdot·\ul{n}·p·\\·\int_{\cal{D}}·c·q·p·\mbox{·, | 286 | ···········\int_\Gamma·\ul{w}·\cdot·\ul{n}·p·\\·\int_{\cal{D}}·c·q·p·\mbox{·, |
287 | ···········}·\int_{\cal{D}}·c·\ul{v}·\cdot·\ul{u}·\mbox{·,·}·\int_{\cal{D}}·c | 287 | ···········}·\int_{\cal{D}}·c·\ul{v}·\cdot·\ul{u}·\mbox{·,·}·\int_{\cal{D}}·c |
288 | ···········p·r·\mbox{·,·}·\int_{\cal{D}}·c·\ul{u}·\cdot·\ul{w}·\\ | 288 | ···········p·r·\mbox{·,·}·\int_{\cal{D}}·c·\ul{u}·\cdot·\ul{w}·\\ |
289 | ···········\int_{\cal{D}}·\ul{v}·\cdot·\ull{M}·\cdot·\ul{u}·\mbox{·,·} | 289 | ···········\int_{\cal{D}}·\ul{v}·\cdot·\ull{M}·\cdot·\ul{u}·\mbox{·,·} |
290 | ···········\int_{\cal{D}}·\ul{u}·\cdot·\ull{M}·\cdot·\ul{w} | 290 | ···········\int_{\cal{D}}·\ul{u}·\cdot·\ull{M}·\cdot·\ul{w} |
291 | ·····-·:ref:`a | 291 | ·····-·:ref:`bal·<large_deformation-balloon>`,·:ref:`bur.2D·<dg-burgers_2D>`,·:ref:`poi.per.bou.con·<diffusion-poisson_periodic_boundary_condition>`,·:ref:`osc·<quantum-oscillator>`,·:ref:`pie.ela·<multi_physics-piezo_elasticity>`,·:ref:`tim.adv.dif·<diffusion-time_adv[·...·truncated·by·diffoscope;·len:·742,·SHA:·c0e55babe157253003f613f052a66215d515fe73f31c3d97fb72dcf978ba201b·...·]>` |
292 | ···*·-·dw_elastic_wave_cauchy | 292 | ···*·-·dw_elastic_wave_cauchy |
293 | ·······:class:`ElasticWaveCauchyTerm·<sfepy.terms.terms_elastic.ElasticWaveCauchyTerm>` | 293 | ·······:class:`ElasticWaveCauchyTerm·<sfepy.terms.terms_elastic.ElasticWaveCauchyTerm>` |
294 | ·····-·``<material_1>``,·``<material_2>``,·``<virtual>``,·``<state>`` | 294 | ·····-·``<material_1>``,·``<material_2>``,·``<virtual>``,·``<state>`` |
295 | ·······``<material_1>``,·``<material_2>``,·``<state>``,·``<virtual>`` | 295 | ·······``<material_1>``,·``<material_2>``,·``<state>``,·``<virtual>`` |
296 | ·····-·..·math:: | 296 | ·····-·..·math:: |
Offset 344, 15 lines modified | Offset 344, 15 lines modified | ||
344 | ·····-· | 344 | ·····-· |
345 | ···*·-·dw_integrate | 345 | ···*·-·dw_integrate |
346 | ·······:class:`IntegrateOperatorTerm·<sfepy.terms.terms_basic.IntegrateOperatorTerm>` | 346 | ·······:class:`IntegrateOperatorTerm·<sfepy.terms.terms_basic.IntegrateOperatorTerm>` |
347 | ·····-·``<opt_material>``,·``<virtual>`` | 347 | ·····-·``<opt_material>``,·``<virtual>`` |
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Offset 9313, 38 lines modified | Offset 9313, 38 lines modified | ||
9313 | ········"pla":·[245,·246], | 9313 | ········"pla":·[245,·246], |
9314 | ········"bod":·[245,·246], | 9314 | ········"bod":·[245,·246], |
9315 | ········"poi":·[245,·246], | 9315 | ········"poi":·[245,·246], |
9316 | ········"nav":·[245,·246], | 9316 | ········"nav":·[245,·246], |
9317 | ········"sto":·[245,·246], | 9317 | ········"sto":·[245,·246], |
9318 | ········"bur":·[245,·246], | 9318 | ········"bur":·[245,·246], |
9319 | ········"lap":·[245,·246], | 9319 | ········"lap":·[245,·246], |
9320 | ········"pie":·[245,·246], | ||
9321 | ········"dar":·[245,·246], | 9320 | ········"dar":·[245,·246], |
9322 | ········"flo":·[245,·246], | 9321 | ········"flo":·[245,·246], |
9323 | ········" | 9322 | ········"pie":·[245,·246], |
9324 | ········"sli":·[245,·246], | 9323 | ········"sli":·[245,·246], |
9325 | ········"hyd":·[245,·246], | ||
9326 | ········" | 9324 | ········"sta":·[245,·246], |
9327 | ········"osc":·[245,·246], | ||
9328 | ········"bal":·[245,·246], | 9325 | ········"bal":·[245,·246], |
9326 | ········"bou":·[245,·246], | ||
9327 | ········"osc":·[245,·246], | ||
9329 | ········"wel":·[245,·246], | 9328 | ········"wel":·[245,·246], |
9330 | ········"aco":·[245,·246], | ||
9331 | ········"vib":·[245,·246], | ||
9332 | ········"bor":·[245,·246], | 9329 | ········"bor":·[245,·246], |
9333 | ········" | 9330 | ········"vib":·[245,·246], |
9334 | ········" | 9331 | ········"aco":·[245,·246], |
9332 | ········"hyd":·[245,·246], | ||
9333 | ········"dam":·[245,·246], | ||
9335 | ········"flu":·[245,·246], | 9334 | ········"flu":·[245,·246], |
9336 | ········" | 9335 | ········"stu":·[245,·246], |
9337 | ········"fie":·[245,·246], | ||
9338 | ········"cou":·[245,·246], | 9336 | ········"cou":·[245,·246], |
9339 | ········"lcb":·[245,·246], | 9337 | ········"lcb":·[245,·246], |
9338 | ········"cub":·[245,·246], | ||
9339 | ········"fie":·[245,·246], | ||
9340 | ········"shi":·[245,·246], | ||
9340 | ········"fib":·[245,·246], | 9341 | ········"fib":·[245,·246], |
9341 | ········"vi":·[245,·246], | 9342 | ········"vi":·[245,·246], |
9342 | ········"tra":·[245,·246], | 9343 | ········"tra":·[245,·246], |
9343 | ········"shi":·[245,·246], | ||
9344 | ········"hyp":·[245,·246], | 9344 | ········"hyp":·[245,·246], |
9345 | ········"she":·[245,·246], | 9345 | ········"she":·[245,·246], |
9346 | ········"u_m":·246, | 9346 | ········"u_m":·246, |
9347 | ········"kinemat":·246, | 9347 | ········"kinemat":·246, |
9348 | ········"kroneck":·246, | 9348 | ········"kroneck":·246, |
9349 | ········"bullet_":·246, | 9349 | ········"bullet_":·246, |
9350 | ········"tcal_h":·246, | 9350 | ········"tcal_h":·246, |
Offset 185, 15 lines modified | Offset 185, 15 lines modified | ||
185 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> | 185 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> |
186 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_v></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_s></span></code></p> | 186 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_v></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_s></span></code></p> |
187 | </td> | 187 | </td> |
188 | <td><div·class="math"> | 188 | <td><div·class="math"> |
189 | <p><span·class="math">\int_{\Omega}·p\·\alpha_{ij}·e_{ij}(\ul{v})·\mbox{·,·} | 189 | <p><span·class="math">\int_{\Omega}·p\·\alpha_{ij}·e_{ij}(\ul{v})·\mbox{·,·} |
190 | \int_{\Omega}·q\·\alpha_{ij}·e_{ij}(\ul{u})</span></p> | 190 | \int_{\Omega}·q\·\alpha_{ij}·e_{ij}(\ul{u})</span></p> |
191 | </div></td> | 191 | </div></td> |
192 | <td><p><span·class="xref·std·std-ref">bio.npb</span>,·<span·class="xref·std·std-ref">the.ela.ess</span>,·<span·class="xref·std·std-ref">bio | 192 | <td><p><span·class="xref·std·std-ref">bio.npb</span>,·<span·class="xref·std·std-ref">the.ela.ess</span>,·<span·class="xref·std·std-ref">bio</span>,·<span·class="xref·std·std-ref">bio.npb.lag</span>,·<span·class="xref·std·std-ref">the.ela</span>,·<span·class="xref·std·std-ref">bio.sho.syn</span></p></td> |
193 | </tr> | 193 | </tr> |
194 | <tr·class="row-even"><td><p>ev_cauchy_strain</p> | 194 | <tr·class="row-even"><td><p>ev_cauchy_strain</p> |
195 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_elastic.html#sfepy.terms.terms_elastic.CauchyStrainTerm"·title="sfepy.terms.terms_elastic.CauchyStrainTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">CauchyStrainTerm</span></code></a></p> | 195 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_elastic.html#sfepy.terms.terms_elastic.CauchyStrainTerm"·title="sfepy.terms.terms_elastic.CauchyStrainTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">CauchyStrainTerm</span></code></a></p> |
196 | </td> | 196 | </td> |
197 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><parameter></span></code></p></td> | 197 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><parameter></span></code></p></td> |
198 | <td><div·class="math"> | 198 | <td><div·class="math"> |
199 | <p><span·class="math">\int_{\cal{D}}·\ull{e}(\ul{w})</span></p> | 199 | <p><span·class="math">\int_{\cal{D}}·\ull{e}(\ul{w})</span></p> |
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259 | <tr·class="row-even"><td><p>dw_convect</p> | 259 | <tr·class="row-even"><td><p>dw_convect</p> |
260 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.ConvectTerm"·title="sfepy.terms.terms_navier_stokes.ConvectTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">ConvectTerm</span></code></a></p> | 260 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.ConvectTerm"·title="sfepy.terms.terms_navier_stokes.ConvectTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">ConvectTerm</span></code></a></p> |
261 | </td> | 261 | </td> |
262 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> | 262 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> |
263 | <td><div·class="math"> | 263 | <td><div·class="math"> |
264 | <p><span·class="math">\int_{\Omega}·((\ul{u}·\cdot·\nabla)·\ul{u})·\cdot·\ul{v}</span></p> | 264 | <p><span·class="math">\int_{\Omega}·((\ul{u}·\cdot·\nabla)·\ul{u})·\cdot·\ul{v}</span></p> |
265 | </div></td> | 265 | </div></td> |
266 | <td><p><span·class="xref·std·std-ref">nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto | 266 | <td><p><span·class="xref·std·std-ref">nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto.iga</span></p></td> |
267 | </tr> | 267 | </tr> |
268 | <tr·class="row-odd"><td><p>ev_def_grad</p> | 268 | <tr·class="row-odd"><td><p>ev_def_grad</p> |
269 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_hyperelastic_base.html#sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm"·title="sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DeformationGradientTerm</span></code></a></p> | 269 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_hyperelastic_base.html#sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm"·title="sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DeformationGradientTerm</span></code></a></p> |
270 | </td> | 270 | </td> |
271 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><parameter></span></code></p></td> | 271 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><parameter></span></code></p></td> |
272 | <td><div·class="math"> | 272 | <td><div·class="math"> |
273 | <p><span·class="math">\ull{F}·=·\pdiff{\ul{x}}{\ul{X}}|_{qp}·=·\ull{I}·+ | 273 | <p><span·class="math">\ull{F}·=·\pdiff{\ul{x}}{\ul{X}}|_{qp}·=·\ull{I}·+ |
Offset 284, 15 lines modified | Offset 284, 15 lines modified | ||
284 | <p><span·class="math">\int_{\partial{T_K}}·\ul{n}·\cdot·\ul{f}^{*}·(p_{in}, | 284 | <p><span·class="math">\int_{\partial{T_K}}·\ul{n}·\cdot·\ul{f}^{*}·(p_{in}, |
285 | p_{out})q</span></p> | 285 | p_{out})q</span></p> |
286 | </div><p>where</p> | 286 | </div><p>where</p> |
287 | <div·class="math"> | 287 | <div·class="math"> |
288 | <p><span·class="math">\ul{f}^{*}(p_{in},·p_{out})·=·\ul{a}·\frac{p_{in}·+ | 288 | <p><span·class="math">\ul{f}^{*}(p_{in},·p_{out})·=·\ul{a}·\frac{p_{in}·+ |
289 | p_{out}}{2}·+·(1·-·\alpha)·\ul{n}·C·\frac{·p_{in}·-·p_{out}}{2},</span></p> | 289 | p_{out}}{2}·+·(1·-·\alpha)·\ul{n}·C·\frac{·p_{in}·-·p_{out}}{2},</span></p> |
290 | </div></td> | 290 | </div></td> |
291 | <td><p><span·class="xref·std·std-ref">adv. | 291 | <td><p><span·class="xref·std·std-ref">adv.1D</span>,·<span·class="xref·std·std-ref">adv.2D</span>,·<span·class="xref·std·std-ref">adv.dif.2D</span></p></td> |
292 | </tr> | 292 | </tr> |
293 | <tr·class="row-odd"><td><p>dw_dg_diffusion_flux</p> | 293 | <tr·class="row-odd"><td><p>dw_dg_diffusion_flux</p> |
294 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.DiffusionDGFluxTerm"·title="sfepy.terms.terms_dg.DiffusionDGFluxTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DiffusionDGFluxTerm</span></code></a></p> | 294 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.DiffusionDGFluxTerm"·title="sfepy.terms.terms_dg.DiffusionDGFluxTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DiffusionDGFluxTerm</span></code></a></p> |
295 | </td> | 295 | </td> |
296 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> | 296 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> |
297 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> | 297 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> |
298 | </td> | 298 | </td> |
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302 | </div><p>where</p> | 302 | </div><p>where</p> |
303 | <div·class="math"> | 303 | <div·class="math"> |
304 | <p><span·class="math">\langle·\nabla·\phi·\rangle·=·\frac{\nabla\phi_{in}·+ | 304 | <p><span·class="math">\langle·\nabla·\phi·\rangle·=·\frac{\nabla\phi_{in}·+ |
305 | \nabla\phi_{out}}{2}</span></p> | 305 | \nabla\phi_{out}}{2}</span></p> |
306 | </div><div·class="math"> | 306 | </div><div·class="math"> |
307 | <p><span·class="math">[\phi]·=·\phi_{in}·-·\phi_{out}</span></p> | 307 | <p><span·class="math">[\phi]·=·\phi_{in}·-·\phi_{out}</span></p> |
308 | </div></td> | 308 | </div></td> |
309 | <td><p><span·class="xref·std·std-ref"> | 309 | <td><p><span·class="xref·std·std-ref">adv.dif.2D</span>,·<span·class="xref·std·std-ref">bur.2D</span>,·<span·class="xref·std·std-ref">lap.2D</span></p></td> |
310 | </tr> | 310 | </tr> |
311 | <tr·class="row-even"><td><p>dw_dg_interior_penalty</p> | 311 | <tr·class="row-even"><td><p>dw_dg_interior_penalty</p> |
312 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.DiffusionInteriorPenaltyTerm"·title="sfepy.terms.terms_dg.DiffusionInteriorPenaltyTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DiffusionInteriorPenaltyTerm</span></code></a></p> | 312 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.DiffusionInteriorPenaltyTerm"·title="sfepy.terms.terms_dg.DiffusionInteriorPenaltyTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DiffusionInteriorPenaltyTerm</span></code></a></p> |
313 | </td> | 313 | </td> |
314 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_Cw></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> | 314 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_Cw></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> |
315 | <td><div·class="math"> | 315 | <td><div·class="math"> |
316 | <p><span·class="math">\int_{\partial{T_K}}·\bar{D}·C_w | 316 | <p><span·class="math">\int_{\partial{T_K}}·\bar{D}·C_w |
317 | \frac{Ord^2}{d(\partial{T_K})}[p][q]</span></p> | 317 | \frac{Ord^2}{d(\partial{T_K})}[p][q]</span></p> |
318 | </div><p>where</p> | 318 | </div><p>where</p> |
319 | <div·class="math"> | 319 | <div·class="math"> |
320 | <p><span·class="math">[\phi]·=·\phi_{in}·-·\phi_{out}</span></p> | 320 | <p><span·class="math">[\phi]·=·\phi_{in}·-·\phi_{out}</span></p> |
321 | </div></td> | 321 | </div></td> |
322 | <td><p><span·class="xref·std·std-ref"> | 322 | <td><p><span·class="xref·std·std-ref">adv.dif.2D</span>,·<span·class="xref·std·std-ref">bur.2D</span>,·<span·class="xref·std·std-ref">lap.2D</span></p></td> |
323 | </tr> | 323 | </tr> |
324 | <tr·class="row-odd"><td><p>dw_dg_nonlinear_laxfrie_flux</p> | 324 | <tr·class="row-odd"><td><p>dw_dg_nonlinear_laxfrie_flux</p> |
325 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.NonlinearHyperbolicDGFluxTerm"·title="sfepy.terms.terms_dg.NonlinearHyperbolicDGFluxTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">NonlinearHyperbolicDGFluxTerm</span></code></a></p> | 325 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.NonlinearHyperbolicDGFluxTerm"·title="sfepy.terms.terms_dg.NonlinearHyperbolicDGFluxTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">NonlinearHyperbolicDGFluxTerm</span></code></a></p> |
326 | </td> | 326 | </td> |
327 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><fun></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><fun_d></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> | 327 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><fun></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><fun_d></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> |
328 | <td><div·class="math"> | 328 | <td><div·class="math"> |
329 | <p><span·class="math">\int_{\partial{T_K}}·\ul{n}·\cdot·f^{*}·(p_{in},·p_{out})q</span></p> | 329 | <p><span·class="math">\int_{\partial{T_K}}·\ul{n}·\cdot·f^{*}·(p_{in},·p_{out})q</span></p> |
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377 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> | 377 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> |
378 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_2></span></code></p> | 378 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_2></span></code></p> |
379 | </td> | 379 | </td> |
380 | <td><div·class="math"> | 380 | <td><div·class="math"> |
381 | <p><span·class="math">\int_{\Omega}·K_{ij}·\nabla_i·q·\nabla_j·p·\mbox{·,·} | 381 | <p><span·class="math">\int_{\Omega}·K_{ij}·\nabla_i·q·\nabla_j·p·\mbox{·,·} |
382 | \int_{\Omega}·K_{ij}·\nabla_i·\bar{p}·\nabla_j·r</span></p> | 382 | \int_{\Omega}·K_{ij}·\nabla_i·\bar{p}·\nabla_j·r</span></p> |
383 | </div></td> | 383 | </div></td> |
384 | <td><p><span·class="xref·std·std-ref">bio.npb</span>,·<span·class="xref·std·std-ref">bio | 384 | <td><p><span·class="xref·std·std-ref">bio.npb</span>,·<span·class="xref·std·std-ref">bio</span>,·<span·class="xref·std·std-ref">dar.flo.mul</span>,·<span·class="xref·std·std-ref">bio.npb.lag</span>,·<span·class="xref·std·std-ref">poi.neu</span>,·<span·class="xref·std·std-ref">pie.ela</span>,·<span·class="xref·std·std-ref">bio.sho.syn</span></p></td> |
385 | </tr> | 385 | </tr> |
386 | <tr·class="row-even"><td><p>dw_div_grad</p> | 386 | <tr·class="row-even"><td><p>dw_div_grad</p> |
387 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.DivGradTerm"·title="sfepy.terms.terms_navier_stokes.DivGradTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DivGradTerm</span></code></a></p> | 387 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.DivGradTerm"·title="sfepy.terms.terms_navier_stokes.DivGradTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DivGradTerm</span></code></a></p> |
388 | </td> | 388 | </td> |
389 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> | 389 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> |
390 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_2></span></code></p> | 390 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_2></span></code></p> |
391 | </td> | 391 | </td> |
392 | <td><div·class="math"> | 392 | <td><div·class="math"> |
393 | <p><span·class="math">\int_{\Omega}·\nu\·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·, | 393 | <p><span·class="math">\int_{\Omega}·\nu\·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·, |
394 | }·\int_{\Omega}·\nu\·\nabla·\ul{u}·:·\nabla·\ul{w}·\\ | 394 | }·\int_{\Omega}·\nu\·\nabla·\ul{u}·:·\nabla·\ul{w}·\\ |
395 | \int_{\Omega}·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·,·} | 395 | \int_{\Omega}·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·,·} |
396 | \int_{\Omega}·\nabla·\ul{u}·:·\nabla·\ul{w}</span></p> | 396 | \int_{\Omega}·\nabla·\ul{u}·:·\nabla·\ul{w}</span></p> |
397 | </div></td> | 397 | </div></td> |
398 | <td><p><span·class="xref·std·std-ref">st | 398 | <td><p><span·class="xref·std·std-ref">sto</span>,·<span·class="xref·std·std-ref">sto.sli.bc</span>,·<span·class="xref·std·std-ref">sta.nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto.iga</span></p></td> |
399 | </tr> | 399 | </tr> |
400 | <tr·class="row-odd"><td><p>dw_div</p> | 400 | <tr·class="row-odd"><td><p>dw_div</p> |
401 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.DivOperatorTerm"·title="sfepy.terms.terms_navier_stokes.DivOperatorTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DivOperatorTerm</span></code></a></p> | 401 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.DivOperatorTerm"·title="sfepy.terms.terms_navier_stokes.DivOperatorTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DivOperatorTerm</span></code></a></p> |
402 | </td> | 402 | </td> |
403 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p></td> | 403 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p></td> |
404 | <td><div·class="math"> | 404 | <td><div·class="math"> |
405 | <p><span·class="math">\int_{\Omega}·\nabla·\cdot·\ul{v}·\mbox·{·or·} | 405 | <p><span·class="math">\int_{\Omega}·\nabla·\cdot·\ul{v}·\mbox·{·or·} |
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434 | \mbox{·,·}·\int_{\cal{D}}·\ul{u}·\cdot·\ul{w}·\mbox{·,·} | 434 | \mbox{·,·}·\int_{\cal{D}}·\ul{u}·\cdot·\ul{w}·\mbox{·,·} |
435 | \int_\Gamma·\ul{w}·\cdot·\ul{n}·p·\\·\int_{\cal{D}}·c·q·p·\mbox{·, | 435 | \int_\Gamma·\ul{w}·\cdot·\ul{n}·p·\\·\int_{\cal{D}}·c·q·p·\mbox{·, |
436 | }·\int_{\cal{D}}·c·\ul{v}·\cdot·\ul{u}·\mbox{·,·}·\int_{\cal{D}}·c | 436 | }·\int_{\cal{D}}·c·\ul{v}·\cdot·\ul{u}·\mbox{·,·}·\int_{\cal{D}}·c |
437 | p·r·\mbox{·,·}·\int_{\cal{D}}·c·\ul{u}·\cdot·\ul{w}·\\ | 437 | p·r·\mbox{·,·}·\int_{\cal{D}}·c·\ul{u}·\cdot·\ul{w}·\\ |
438 | \int_{\cal{D}}·\ul{v}·\cdot·\ull{M}·\cdot·\ul{u}·\mbox{·,·} | 438 | \int_{\cal{D}}·\ul{v}·\cdot·\ull{M}·\cdot·\ul{u}·\mbox{·,·} |
439 | \int_{\cal{D}}·\ul{u}·\cdot·\ull{M}·\cdot·\ul{w}</span></p> | 439 | \int_{\cal{D}}·\ul{u}·\cdot·\ull{M}·\cdot·\ul{w}</span></p> |
440 | </div></td> | 440 | </div></td> |
441 | <td><p><span·class="xref·std·std-ref"> | 441 | <td><p><span·class="xref·std·std-ref">bal</span>,·<span·class="xref·std·std-ref">bur.2D</span>,·<span·class="xref·std·std-ref">poi.per.bou.con</span>,·<span·class="xref·std·std-ref">osc</span>,·<span·class="xref·std·std-ref">pie.ela</span>,·<span·class="xref·std·std-ref">tim.adv.dif</span>,·<s[·...·truncated·by·diffoscope;·len:·780,·SHA:·06a4804d73e7452f27af2e8471c8924501917286cad0e0dabcdf55e67d390998·...·]</span></p></td> |
442 | </tr> | 442 | </tr> |
443 | <tr·class="row-even"><td><p>dw_elastic_wave_cauchy</p> | 443 | <tr·class="row-even"><td><p>dw_elastic_wave_cauchy</p> |
444 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_elastic.html#sfepy.terms.terms_elastic.ElasticWaveCauchyTerm"·title="sfepy.terms.terms_elastic.ElasticWaveCauchyTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">ElasticWaveCauchyTerm</span></code></a></p> | 444 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_elastic.html#sfepy.terms.terms_elastic.ElasticWaveCauchyTerm"·title="sfepy.terms.terms_elastic.ElasticWaveCauchyTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">ElasticWaveCauchyTerm</span></code></a></p> |
445 | </td> | 445 | </td> |
446 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_2></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> | 446 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_2></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> |
447 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_2></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> | 447 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_2></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> |
448 | </td> | 448 | </td> |
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502 | <tr·class="row-odd"><td><p>dw_integrate</p> | 502 | <tr·class="row-odd"><td><p>dw_integrate</p> |
503 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_basic.html#sfepy.terms.terms_basic.IntegrateOperatorTerm"·title="sfepy.terms.terms_basic.IntegrateOperatorTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">IntegrateOperatorTerm</span></code></a></p> | 503 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_basic.html#sfepy.terms.terms_basic.IntegrateOperatorTerm"·title="sfepy.terms.terms_basic.IntegrateOperatorTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">IntegrateOperatorTerm</span></code></a></p> |
504 | </td> | 504 | </td> |
505 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p></td> | 505 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p></td> |
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53 | ·················································\int_{T_K} | 53 | ·················································\int_{T_K} |
54 | ·················································\alpha_{ij} | 54 | ·················································\alpha_{ij} |
55 | ·················································\bar{p}·/ | 55 | ·················································\bar{p}·/ |
56 | ·················································\int_{T_K}·1 | 56 | ·················································\int_{T_K}·1 |
57 | ·················································-·\alpha_{ij} | 57 | ·················································-·\alpha_{ij} |
58 | ·················································\bar{p}|_{qp} | 58 | ·················································\bar{p}|_{qp} |
59 | ·················································\int_{\Omega} | 59 | ·················································\int_{\Omega} |
60 | ······························<material>,········p\·\alpha_ | 60 | ······························<material>,········p\·\alpha_····bio.npb, |
61 | ······························<virtual>,·<state>·{ij}·e_{ij}··· | 61 | ······························<virtual>,·<state>·{ij}·e_{ij}···the.ela.ess, |
62 | dw_biot·······················<material>,········(\ul{v})······ | 62 | dw_biot·······················<material>,········(\ul{v})······bio, |
63 | BiotTerm······················<state>,·<virtual>·\mbox{·,·}····bio.npb.lag, | 63 | BiotTerm······················<state>,·<virtual>·\mbox{·,·}····bio.npb.lag, |
64 | ······························<material>,········\int_{\Omega}· | 64 | ······························<material>,········\int_{\Omega}·the.ela, |
65 | ······························<parameter_v>,·····q\·\alpha_···· | 65 | ······························<parameter_v>,·····q\·\alpha_····bio.sho.syn |
66 | ······························<parameter_s>······{ij}·e_{ij} | 66 | ······························<parameter_s>······{ij}·e_{ij} |
67 | ·················································(\ul{u}) | 67 | ·················································(\ul{u}) |
68 | ·················································\int_{\cal | 68 | ·················································\int_{\cal |
69 | ·················································{D}}·\ull{e} | 69 | ·················································{D}}·\ull{e} |
70 | ·················································(\ul{w}) | 70 | ·················································(\ul{w}) |
71 | ·················································\mbox{vector | 71 | ·················································\mbox{vector |
72 | ·················································for·}·K·\from | 72 | ·················································for·}·K·\from |
Offset 110, 16 lines modified | Offset 110, 16 lines modified | ||
110 | ·················································{n}·\ul{v} | 110 | ·················································{n}·\ul{v} |
111 | ······························<virtual>,·········\int_{\Omega} | 111 | ······························<virtual>,·········\int_{\Omega} |
112 | dw_convect_v_grad_s···········<state_v>,·········q·(\ul{u}·····poi.fun | 112 | dw_convect_v_grad_s···········<state_v>,·········q·(\ul{u}·····poi.fun |
113 | ConvectVGradSTerm·············<state_s>··········\cdot·\nabla | 113 | ConvectVGradSTerm·············<state_s>··········\cdot·\nabla |
114 | ·················································p) | 114 | ·················································p) |
115 | ·················································\int_{\Omega} | 115 | ·················································\int_{\Omega} |
116 | dw_convect·······································((\ul{u}······nav.sto, | 116 | dw_convect·······································((\ul{u}······nav.sto, |
117 | ConvectTerm···················<virtual>,·<state>·\cdot·\nabla)·nav.sto | 117 | ConvectTerm···················<virtual>,·<state>·\cdot·\nabla)·nav.sto, |
118 | ·················································\ul{u})·\cdot·nav.sto | 118 | ·················································\ul{u})·\cdot·nav.sto.iga |
119 | ·················································\ul{v} | 119 | ·················································\ul{v} |
120 | ·················································\ull{F}·= | 120 | ·················································\ull{F}·= |
121 | ·················································\pdiff{\ul | 121 | ·················································\pdiff{\ul |
122 | ·················································{x}}{\ul | 122 | ·················································{x}}{\ul |
123 | ·················································{X}}|_{qp}·= | 123 | ·················································{X}}|_{qp}·= |
124 | ·················································\ull{I}·+ | 124 | ·················································\ull{I}·+ |
125 | ev_def_grad······································\pdiff{\ul | 125 | ev_def_grad······································\pdiff{\ul |
Offset 134, 15 lines modified | Offset 134, 15 lines modified | ||
134 | ·················································{\partial | 134 | ·················································{\partial |
135 | ·················································{T_K}}·\ul{n} | 135 | ·················································{T_K}}·\ul{n} |
136 | ·················································\cdot·\ul{f}^ | 136 | ·················································\cdot·\ul{f}^ |
137 | ·················································{*}·(p_{in}, | 137 | ·················································{*}·(p_{in}, |
138 | ·················································p_{out})q | 138 | ·················································p_{out})q |
139 | ·················································where | 139 | ·················································where |
140 | ······························<opt_material>,····\ul{f}^{*}(p_ | 140 | ······························<opt_material>,····\ul{f}^{*}(p_ |
141 | dw_dg_advect_laxfrie_flux·····<material_advelo>,·{in},·p_······adv. | 141 | dw_dg_advect_laxfrie_flux·····<material_advelo>,·{in},·p_······adv.1D,·adv.2D, |
142 | AdvectionDGFluxTerm···········<virtual>,·<state>·{out})·=·\ul··adv.dif.2D | 142 | AdvectionDGFluxTerm···········<virtual>,·<state>·{out})·=·\ul··adv.dif.2D |
143 | ·················································{a}·\frac{p_ | 143 | ·················································{a}·\frac{p_ |
144 | ·················································{in}·+·p_ | 144 | ·················································{in}·+·p_ |
145 | ·················································{out}}{2}·+ | 145 | ·················································{out}}{2}·+ |
146 | ·················································(1·-·\alpha) | 146 | ·················································(1·-·\alpha) |
147 | ·················································\ul{n}·C | 147 | ·················································\ul{n}·C |
148 | ·················································\frac{·p_{in} | 148 | ·················································\frac{·p_{in} |
Offset 155, 16 lines modified | Offset 155, 16 lines modified | ||
155 | ·················································\nabla·p | 155 | ·················································\nabla·p |
156 | ·················································\rangle·[q] | 156 | ·················································\rangle·[q] |
157 | ·················································\mbox{·,·} | 157 | ·················································\mbox{·,·} |
158 | ·················································\int_ | 158 | ·················································\int_ |
159 | ·················································{\partial | 159 | ·················································{\partial |
160 | ·················································{T_K}}·D | 160 | ·················································{T_K}}·D |
161 | ······························<material>,········\langle | 161 | ······························<material>,········\langle |
162 | dw_dg_diffusion_flux··········<state>,·<virtual>·\nabla·q······ | 162 | dw_dg_diffusion_flux··········<state>,·<virtual>·\nabla·q······adv.dif.2D, |
163 | DiffusionDGFluxTerm···········<material>,········\rangle·[p]··· | 163 | DiffusionDGFluxTerm···········<material>,········\rangle·[p]···bur.2D,·lap.2D |
164 | ······························<virtual>,·<state>·where | 164 | ······························<virtual>,·<state>·where |
165 | ·················································\langle | 165 | ·················································\langle |
166 | ·················································\nabla·\phi | 166 | ·················································\nabla·\phi |
167 | ·················································\rangle·= | 167 | ·················································\rangle·= |
168 | ·················································\frac | 168 | ·················································\frac |
169 | ·················································{\nabla\phi_ | 169 | ·················································{\nabla\phi_ |
170 | ·················································{in}·+ | 170 | ·················································{in}·+ |
Offset 173, 16 lines modified | Offset 173, 16 lines modified | ||
173 | ·················································[\phi]·= | 173 | ·················································[\phi]·= |
174 | ·················································\phi_{in}·- | 174 | ·················································\phi_{in}·- |
175 | ·················································\phi_{out} | 175 | ·················································\phi_{out} |
176 | ·················································\int_ | 176 | ·················································\int_ |
177 | ·················································{\partial | 177 | ·················································{\partial |
178 | ·················································{T_K}}·\bar | 178 | ·················································{T_K}}·\bar |
179 | ·················································{D}·C_w·\frac | 179 | ·················································{D}·C_w·\frac |
180 | dw_dg_interior_penalty········<material>,········{Ord^2}{d····· | 180 | dw_dg_interior_penalty········<material>,········{Ord^2}{d·····adv.dif.2D, |
181 | DiffusionInteriorPenaltyTerm··<material_Cw>,·····(\partial····· | 181 | DiffusionInteriorPenaltyTerm··<material_Cw>,·····(\partial·····bur.2D,·lap.2D |
182 | ······························<virtual>,·<state>·{T_K})}[p][q] | 182 | ······························<virtual>,·<state>·{T_K})}[p][q] |
183 | ·················································where | 183 | ·················································where |
184 | ·················································[\phi]·= | 184 | ·················································[\phi]·= |
185 | ·················································\phi_{in}·- | 185 | ·················································\phi_{in}·- |
186 | ·················································\phi_{out} | 186 | ·················································\phi_{out} |
187 | ·················································\int_ | 187 | ·················································\int_ |
188 | ·················································{\partial | 188 | ·················································{\partial |
Offset 225, 34 lines modified | Offset 225, 34 lines modified | ||
225 | ·················································\bar{p}·/ | 225 | ·················································\bar{p}·/ |
226 | ·················································\int_{T_K}·1 | 226 | ·················································\int_{T_K}·1 |
227 | ·················································-·K_{ij} | 227 | ·················································-·K_{ij} |
228 | ·················································\nabla_j·\bar | 228 | ·················································\nabla_j·\bar |
229 | ·················································{p} | 229 | ·················································{p} |
230 | ·················································\int_{\Omega} | 230 | ·················································\int_{\Omega} |
231 | ·················································K_{ij} | 231 | ·················································K_{ij} |
232 | ······························<material>,········\nabla_i·q····bio.npb, | 232 | ······························<material>,········\nabla_i·q····bio.npb,·bio, |
233 | ······························<virtual>,·<state>·\nabla_j·p···· | 233 | ······························<virtual>,·<state>·\nabla_j·p····dar.flo.mul, |
234 | dw_diffusion··················<material>,········\mbox{·,·}····bio. | 234 | dw_diffusion··················<material>,········\mbox{·,·}····bio.npb.lag, |
235 | DiffusionTerm·················<parameter_1>,·····\int_{\Omega}· | 235 | DiffusionTerm·················<parameter_1>,·····\int_{\Omega}·poi.neu, |
236 | ······························<parameter_2>······K_{ij}········pie.ela, | 236 | ······························<parameter_2>······K_{ij}········pie.ela, |
237 | ·················································\nabla_i·\bar· | 237 | ·················································\nabla_i·\bar·bio.sho.syn |
238 | ·················································{p}·\nabla_j | 238 | ·················································{p}·\nabla_j |
239 | ·················································r | 239 | ·················································r |
240 | ·················································\int_{\Omega} | 240 | ·················································\int_{\Omega} |
241 | ·················································\nu\·\nabla | 241 | ·················································\nu\·\nabla |
242 | ·················································\ul{v}·: | 242 | ·················································\ul{v}·: |
243 | ·················································\nabla·\ul{u} | 243 | ·················································\nabla·\ul{u} |
244 | ·················································\mbox{·,·} | 244 | ·················································\mbox{·,·} |
245 | ·················································\int_{\Omega} | 245 | ·················································\int_{\Omega} |
246 | ·················································\nu\·\nabla | 246 | ·················································\nu\·\nabla |
247 | ······························<opt_material>,····\ul{u}·:······st | 247 | ······························<opt_material>,····\ul{u}·:······sto,·sto.sli.bc, |
248 | dw_div_grad···················<virtual>,·<state>·\nabla·\ul{w}·nav.sto | 248 | dw_div_grad···················<virtual>,·<state>·\nabla·\ul{w}·sta.nav.sto, |
249 | DivGradTerm···················<opt_material>,····\\·\int_······nav.sto, | 249 | DivGradTerm···················<opt_material>,····\\·\int_······nav.sto, |
250 | ······························<parameter_1>,·····{\Omega}······nav.sto, | 250 | ······························<parameter_1>,·····{\Omega}······nav.sto, |
251 | ······························<parameter_2>······\nabla·\ul{v}· | 251 | ······························<parameter_2>······\nabla·\ul{v}·nav.sto.iga |
252 | ·················································:·\nabla·\ul | 252 | ·················································:·\nabla·\ul |
253 | ·················································{u}·\mbox{·, | 253 | ·················································{u}·\mbox{·, |
254 | ·················································}·\int_ | 254 | ·················································}·\int_ |
255 | ·················································{\Omega} | 255 | ·················································{\Omega} |
256 | ·················································\nabla·\ul{u} | 256 | ·················································\nabla·\ul{u} |
257 | ·················································:·\nabla·\ul | 257 | ·················································:·\nabla·\ul |
258 | ·················································{w} | 258 | ·················································{w} |
Offset 285, 31 lines modified | Offset 285, 31 lines modified | ||
285 | ·················································\int_\Gamma | 285 | ·················································\int_\Gamma |
286 | ·················································\ul{v}·\cdot | 286 | ·················································\ul{v}·\cdot |
287 | ·················································\ul{n}·p | 287 | ·················································\ul{n}·p |
288 | ·················································\mbox{·,·} | 288 | ·················································\mbox{·,·} |
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371 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> | 371 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> |
372 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_v></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_s></span></code></p> | 372 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_v></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_s></span></code></p> |
373 | </td> | 373 | </td> |
374 | <td><div·class="math"> | 374 | <td><div·class="math"> |
375 | <p><span·class="math">\int_{\Omega}·p\·\alpha_{ij}·e_{ij}(\ul{v})·\mbox{·,·} | 375 | <p><span·class="math">\int_{\Omega}·p\·\alpha_{ij}·e_{ij}(\ul{v})·\mbox{·,·} |
376 | \int_{\Omega}·q\·\alpha_{ij}·e_{ij}(\ul{u})</span></p> | 376 | \int_{\Omega}·q\·\alpha_{ij}·e_{ij}(\ul{u})</span></p> |
377 | </div></td> | 377 | </div></td> |
378 | <td><p><span·class="xref·std·std-ref">bio.npb</span>,·<span·class="xref·std·std-ref">the.ela.ess</span>,·<span·class="xref·std·std-ref">bio | 378 | <td><p><span·class="xref·std·std-ref">bio.npb</span>,·<span·class="xref·std·std-ref">the.ela.ess</span>,·<span·class="xref·std·std-ref">bio</span>,·<span·class="xref·std·std-ref">bio.npb.lag</span>,·<span·class="xref·std·std-ref">the.ela</span>,·<span·class="xref·std·std-ref">bio.sho.syn</span></p></td> |
379 | </tr> | 379 | </tr> |
380 | <tr·class="row-even"><td><p>ev_cauchy_strain</p> | 380 | <tr·class="row-even"><td><p>ev_cauchy_strain</p> |
381 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_elastic.html#sfepy.terms.terms_elastic.CauchyStrainTerm"·title="sfepy.terms.terms_elastic.CauchyStrainTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">CauchyStrainTerm</span></code></a></p> | 381 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_elastic.html#sfepy.terms.terms_elastic.CauchyStrainTerm"·title="sfepy.terms.terms_elastic.CauchyStrainTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">CauchyStrainTerm</span></code></a></p> |
382 | </td> | 382 | </td> |
383 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><parameter></span></code></p></td> | 383 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><parameter></span></code></p></td> |
384 | <td><div·class="math"> | 384 | <td><div·class="math"> |
385 | <p><span·class="math">\int_{\cal{D}}·\ull{e}(\ul{w})</span></p> | 385 | <p><span·class="math">\int_{\cal{D}}·\ull{e}(\ul{w})</span></p> |
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445 | <tr·class="row-even"><td><p>dw_convect</p> | 445 | <tr·class="row-even"><td><p>dw_convect</p> |
446 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.ConvectTerm"·title="sfepy.terms.terms_navier_stokes.ConvectTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">ConvectTerm</span></code></a></p> | 446 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.ConvectTerm"·title="sfepy.terms.terms_navier_stokes.ConvectTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">ConvectTerm</span></code></a></p> |
447 | </td> | 447 | </td> |
448 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> | 448 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> |
449 | <td><div·class="math"> | 449 | <td><div·class="math"> |
450 | <p><span·class="math">\int_{\Omega}·((\ul{u}·\cdot·\nabla)·\ul{u})·\cdot·\ul{v}</span></p> | 450 | <p><span·class="math">\int_{\Omega}·((\ul{u}·\cdot·\nabla)·\ul{u})·\cdot·\ul{v}</span></p> |
451 | </div></td> | 451 | </div></td> |
452 | <td><p><span·class="xref·std·std-ref">nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto | 452 | <td><p><span·class="xref·std·std-ref">nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto.iga</span></p></td> |
453 | </tr> | 453 | </tr> |
454 | <tr·class="row-odd"><td><p>ev_def_grad</p> | 454 | <tr·class="row-odd"><td><p>ev_def_grad</p> |
455 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_hyperelastic_base.html#sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm"·title="sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DeformationGradientTerm</span></code></a></p> | 455 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_hyperelastic_base.html#sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm"·title="sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DeformationGradientTerm</span></code></a></p> |
456 | </td> | 456 | </td> |
457 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><parameter></span></code></p></td> | 457 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><parameter></span></code></p></td> |
458 | <td><div·class="math"> | 458 | <td><div·class="math"> |
459 | <p><span·class="math">\ull{F}·=·\pdiff{\ul{x}}{\ul{X}}|_{qp}·=·\ull{I}·+ | 459 | <p><span·class="math">\ull{F}·=·\pdiff{\ul{x}}{\ul{X}}|_{qp}·=·\ull{I}·+ |
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470 | <p><span·class="math">\int_{\partial{T_K}}·\ul{n}·\cdot·\ul{f}^{*}·(p_{in}, | 470 | <p><span·class="math">\int_{\partial{T_K}}·\ul{n}·\cdot·\ul{f}^{*}·(p_{in}, |
471 | p_{out})q</span></p> | 471 | p_{out})q</span></p> |
472 | </div><p>where</p> | 472 | </div><p>where</p> |
473 | <div·class="math"> | 473 | <div·class="math"> |
474 | <p><span·class="math">\ul{f}^{*}(p_{in},·p_{out})·=·\ul{a}·\frac{p_{in}·+ | 474 | <p><span·class="math">\ul{f}^{*}(p_{in},·p_{out})·=·\ul{a}·\frac{p_{in}·+ |
475 | p_{out}}{2}·+·(1·-·\alpha)·\ul{n}·C·\frac{·p_{in}·-·p_{out}}{2},</span></p> | 475 | p_{out}}{2}·+·(1·-·\alpha)·\ul{n}·C·\frac{·p_{in}·-·p_{out}}{2},</span></p> |
476 | </div></td> | 476 | </div></td> |
477 | <td><p><span·class="xref·std·std-ref">adv. | 477 | <td><p><span·class="xref·std·std-ref">adv.1D</span>,·<span·class="xref·std·std-ref">adv.2D</span>,·<span·class="xref·std·std-ref">adv.dif.2D</span></p></td> |
478 | </tr> | 478 | </tr> |
479 | <tr·class="row-odd"><td><p>dw_dg_diffusion_flux</p> | 479 | <tr·class="row-odd"><td><p>dw_dg_diffusion_flux</p> |
480 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.DiffusionDGFluxTerm"·title="sfepy.terms.terms_dg.DiffusionDGFluxTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DiffusionDGFluxTerm</span></code></a></p> | 480 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.DiffusionDGFluxTerm"·title="sfepy.terms.terms_dg.DiffusionDGFluxTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DiffusionDGFluxTerm</span></code></a></p> |
481 | </td> | 481 | </td> |
482 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> | 482 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> |
483 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> | 483 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> |
484 | </td> | 484 | </td> |
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488 | </div><p>where</p> | 488 | </div><p>where</p> |
489 | <div·class="math"> | 489 | <div·class="math"> |
490 | <p><span·class="math">\langle·\nabla·\phi·\rangle·=·\frac{\nabla\phi_{in}·+ | 490 | <p><span·class="math">\langle·\nabla·\phi·\rangle·=·\frac{\nabla\phi_{in}·+ |
491 | \nabla\phi_{out}}{2}</span></p> | 491 | \nabla\phi_{out}}{2}</span></p> |
492 | </div><div·class="math"> | 492 | </div><div·class="math"> |
493 | <p><span·class="math">[\phi]·=·\phi_{in}·-·\phi_{out}</span></p> | 493 | <p><span·class="math">[\phi]·=·\phi_{in}·-·\phi_{out}</span></p> |
494 | </div></td> | 494 | </div></td> |
495 | <td><p><span·class="xref·std·std-ref"> | 495 | <td><p><span·class="xref·std·std-ref">adv.dif.2D</span>,·<span·class="xref·std·std-ref">bur.2D</span>,·<span·class="xref·std·std-ref">lap.2D</span></p></td> |
496 | </tr> | 496 | </tr> |
497 | <tr·class="row-even"><td><p>dw_dg_interior_penalty</p> | 497 | <tr·class="row-even"><td><p>dw_dg_interior_penalty</p> |
498 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.DiffusionInteriorPenaltyTerm"·title="sfepy.terms.terms_dg.DiffusionInteriorPenaltyTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DiffusionInteriorPenaltyTerm</span></code></a></p> | 498 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.DiffusionInteriorPenaltyTerm"·title="sfepy.terms.terms_dg.DiffusionInteriorPenaltyTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DiffusionInteriorPenaltyTerm</span></code></a></p> |
499 | </td> | 499 | </td> |
500 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_Cw></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> | 500 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_Cw></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> |
501 | <td><div·class="math"> | 501 | <td><div·class="math"> |
502 | <p><span·class="math">\int_{\partial{T_K}}·\bar{D}·C_w | 502 | <p><span·class="math">\int_{\partial{T_K}}·\bar{D}·C_w |
503 | \frac{Ord^2}{d(\partial{T_K})}[p][q]</span></p> | 503 | \frac{Ord^2}{d(\partial{T_K})}[p][q]</span></p> |
504 | </div><p>where</p> | 504 | </div><p>where</p> |
505 | <div·class="math"> | 505 | <div·class="math"> |
506 | <p><span·class="math">[\phi]·=·\phi_{in}·-·\phi_{out}</span></p> | 506 | <p><span·class="math">[\phi]·=·\phi_{in}·-·\phi_{out}</span></p> |
507 | </div></td> | 507 | </div></td> |
508 | <td><p><span·class="xref·std·std-ref"> | 508 | <td><p><span·class="xref·std·std-ref">adv.dif.2D</span>,·<span·class="xref·std·std-ref">bur.2D</span>,·<span·class="xref·std·std-ref">lap.2D</span></p></td> |
509 | </tr> | 509 | </tr> |
510 | <tr·class="row-odd"><td><p>dw_dg_nonlinear_laxfrie_flux</p> | 510 | <tr·class="row-odd"><td><p>dw_dg_nonlinear_laxfrie_flux</p> |
511 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.NonlinearHyperbolicDGFluxTerm"·title="sfepy.terms.terms_dg.NonlinearHyperbolicDGFluxTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">NonlinearHyperbolicDGFluxTerm</span></code></a></p> | 511 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_dg.html#sfepy.terms.terms_dg.NonlinearHyperbolicDGFluxTerm"·title="sfepy.terms.terms_dg.NonlinearHyperbolicDGFluxTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">NonlinearHyperbolicDGFluxTerm</span></code></a></p> |
512 | </td> | 512 | </td> |
513 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><fun></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><fun_d></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> | 513 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><fun></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><fun_d></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p></td> |
514 | <td><div·class="math"> | 514 | <td><div·class="math"> |
515 | <p><span·class="math">\int_{\partial{T_K}}·\ul{n}·\cdot·f^{*}·(p_{in},·p_{out})q</span></p> | 515 | <p><span·class="math">\int_{\partial{T_K}}·\ul{n}·\cdot·f^{*}·(p_{in},·p_{out})q</span></p> |
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563 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> | 563 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> |
564 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_2></span></code></p> | 564 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_2></span></code></p> |
565 | </td> | 565 | </td> |
566 | <td><div·class="math"> | 566 | <td><div·class="math"> |
567 | <p><span·class="math">\int_{\Omega}·K_{ij}·\nabla_i·q·\nabla_j·p·\mbox{·,·} | 567 | <p><span·class="math">\int_{\Omega}·K_{ij}·\nabla_i·q·\nabla_j·p·\mbox{·,·} |
568 | \int_{\Omega}·K_{ij}·\nabla_i·\bar{p}·\nabla_j·r</span></p> | 568 | \int_{\Omega}·K_{ij}·\nabla_i·\bar{p}·\nabla_j·r</span></p> |
569 | </div></td> | 569 | </div></td> |
570 | <td><p><span·class="xref·std·std-ref">bio.npb</span>,·<span·class="xref·std·std-ref">bio | 570 | <td><p><span·class="xref·std·std-ref">bio.npb</span>,·<span·class="xref·std·std-ref">bio</span>,·<span·class="xref·std·std-ref">dar.flo.mul</span>,·<span·class="xref·std·std-ref">bio.npb.lag</span>,·<span·class="xref·std·std-ref">poi.neu</span>,·<span·class="xref·std·std-ref">pie.ela</span>,·<span·class="xref·std·std-ref">bio.sho.syn</span></p></td> |
571 | </tr> | 571 | </tr> |
572 | <tr·class="row-even"><td><p>dw_div_grad</p> | 572 | <tr·class="row-even"><td><p>dw_div_grad</p> |
573 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.DivGradTerm"·title="sfepy.terms.terms_navier_stokes.DivGradTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DivGradTerm</span></code></a></p> | 573 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.DivGradTerm"·title="sfepy.terms.terms_navier_stokes.DivGradTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DivGradTerm</span></code></a></p> |
574 | </td> | 574 | </td> |
575 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> | 575 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> |
576 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_2></span></code></p> | 576 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><parameter_2></span></code></p> |
577 | </td> | 577 | </td> |
578 | <td><div·class="math"> | 578 | <td><div·class="math"> |
579 | <p><span·class="math">\int_{\Omega}·\nu\·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·, | 579 | <p><span·class="math">\int_{\Omega}·\nu\·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·, |
580 | }·\int_{\Omega}·\nu\·\nabla·\ul{u}·:·\nabla·\ul{w}·\\ | 580 | }·\int_{\Omega}·\nu\·\nabla·\ul{u}·:·\nabla·\ul{w}·\\ |
581 | \int_{\Omega}·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·,·} | 581 | \int_{\Omega}·\nabla·\ul{v}·:·\nabla·\ul{u}·\mbox{·,·} |
582 | \int_{\Omega}·\nabla·\ul{u}·:·\nabla·\ul{w}</span></p> | 582 | \int_{\Omega}·\nabla·\ul{u}·:·\nabla·\ul{w}</span></p> |
583 | </div></td> | 583 | </div></td> |
584 | <td><p><span·class="xref·std·std-ref">st | 584 | <td><p><span·class="xref·std·std-ref">sto</span>,·<span·class="xref·std·std-ref">sto.sli.bc</span>,·<span·class="xref·std·std-ref">sta.nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto</span>,·<span·class="xref·std·std-ref">nav.sto.iga</span></p></td> |
585 | </tr> | 585 | </tr> |
586 | <tr·class="row-odd"><td><p>dw_div</p> | 586 | <tr·class="row-odd"><td><p>dw_div</p> |
587 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.DivOperatorTerm"·title="sfepy.terms.terms_navier_stokes.DivOperatorTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DivOperatorTerm</span></code></a></p> | 587 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_navier_stokes.html#sfepy.terms.terms_navier_stokes.DivOperatorTerm"·title="sfepy.terms.terms_navier_stokes.DivOperatorTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DivOperatorTerm</span></code></a></p> |
588 | </td> | 588 | </td> |
589 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p></td> | 589 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p></td> |
590 | <td><div·class="math"> | 590 | <td><div·class="math"> |
591 | <p><span·class="math">\int_{\Omega}·\nabla·\cdot·\ul{v}·\mbox·{·or·} | 591 | <p><span·class="math">\int_{\Omega}·\nabla·\cdot·\ul{v}·\mbox·{·or·} |
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620 | \mbox{·,·}·\int_{\cal{D}}·\ul{u}·\cdot·\ul{w}·\mbox{·,·} | 620 | \mbox{·,·}·\int_{\cal{D}}·\ul{u}·\cdot·\ul{w}·\mbox{·,·} |
621 | \int_\Gamma·\ul{w}·\cdot·\ul{n}·p·\\·\int_{\cal{D}}·c·q·p·\mbox{·, | 621 | \int_\Gamma·\ul{w}·\cdot·\ul{n}·p·\\·\int_{\cal{D}}·c·q·p·\mbox{·, |
622 | }·\int_{\cal{D}}·c·\ul{v}·\cdot·\ul{u}·\mbox{·,·}·\int_{\cal{D}}·c | 622 | }·\int_{\cal{D}}·c·\ul{v}·\cdot·\ul{u}·\mbox{·,·}·\int_{\cal{D}}·c |
623 | p·r·\mbox{·,·}·\int_{\cal{D}}·c·\ul{u}·\cdot·\ul{w}·\\ | 623 | p·r·\mbox{·,·}·\int_{\cal{D}}·c·\ul{u}·\cdot·\ul{w}·\\ |
624 | \int_{\cal{D}}·\ul{v}·\cdot·\ull{M}·\cdot·\ul{u}·\mbox{·,·} | 624 | \int_{\cal{D}}·\ul{v}·\cdot·\ull{M}·\cdot·\ul{u}·\mbox{·,·} |
625 | \int_{\cal{D}}·\ul{u}·\cdot·\ull{M}·\cdot·\ul{w}</span></p> | 625 | \int_{\cal{D}}·\ul{u}·\cdot·\ull{M}·\cdot·\ul{w}</span></p> |
626 | </div></td> | 626 | </div></td> |
627 | <td><p><span·class="xref·std·std-ref"> | 627 | <td><p><span·class="xref·std·std-ref">bal</span>,·<span·class="xref·std·std-ref">bur.2D</span>,·<span·class="xref·std·std-ref">poi.per.bou.con</span>,·<span·class="xref·std·std-ref">osc</span>,·<span·class="xref·std·std-ref">pie.ela</span>,·<span·class="xref·std·std-ref">tim.adv.dif</span>,·<s[·...·truncated·by·diffoscope;·len:·780,·SHA:·06a4804d73e7452f27af2e8471c8924501917286cad0e0dabcdf55e67d390998·...·]</span></p></td> |
628 | </tr> | 628 | </tr> |
629 | <tr·class="row-even"><td><p>dw_elastic_wave_cauchy</p> | 629 | <tr·class="row-even"><td><p>dw_elastic_wave_cauchy</p> |
630 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_elastic.html#sfepy.terms.terms_elastic.ElasticWaveCauchyTerm"·title="sfepy.terms.terms_elastic.ElasticWaveCauchyTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">ElasticWaveCauchyTerm</span></code></a></p> | 630 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_elastic.html#sfepy.terms.terms_elastic.ElasticWaveCauchyTerm"·title="sfepy.terms.terms_elastic.ElasticWaveCauchyTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">ElasticWaveCauchyTerm</span></code></a></p> |
631 | </td> | 631 | </td> |
632 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_2></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> | 632 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><material_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_2></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code></p> |
633 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_2></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> | 633 | <p><code·class="docutils·literal·notranslate"><span·class="pre"><material_1></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><material_2></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><state></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p> |
634 | </td> | 634 | </td> |
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688 | <tr·class="row-odd"><td><p>dw_integrate</p> | 688 | <tr·class="row-odd"><td><p>dw_integrate</p> |
689 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_basic.html#sfepy.terms.terms_basic.IntegrateOperatorTerm"·title="sfepy.terms.terms_basic.IntegrateOperatorTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">IntegrateOperatorTerm</span></code></a></p> | 689 | <p><a·class="reference·internal"·href="src/sfepy/terms/terms_basic.html#sfepy.terms.terms_basic.IntegrateOperatorTerm"·title="sfepy.terms.terms_basic.IntegrateOperatorTerm"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">IntegrateOperatorTerm</span></code></a></p> |
690 | </td> | 690 | </td> |
691 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p></td> | 691 | <td><p><code·class="docutils·literal·notranslate"><span·class="pre"><opt_material></span></code>,·<code·class="docutils·literal·notranslate"><span·class="pre"><virtual></span></code></p></td> |
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133 | ·················································\int_{T_K} | 133 | ·················································\int_{T_K} |
134 | ·················································\alpha_{ij} | 134 | ·················································\alpha_{ij} |
135 | ·················································\bar{p}·/ | 135 | ·················································\bar{p}·/ |
136 | ·················································\int_{T_K}·1 | 136 | ·················································\int_{T_K}·1 |
137 | ·················································-·\alpha_{ij} | 137 | ·················································-·\alpha_{ij} |
138 | ·················································\bar{p}|_{qp} | 138 | ·················································\bar{p}|_{qp} |
139 | ·················································\int_{\Omega} | 139 | ·················································\int_{\Omega} |
140 | ······························<material>,········p\·\alpha_ | 140 | ······························<material>,········p\·\alpha_····bio.npb, |
141 | ······························<virtual>,·<state>·{ij}·e_{ij}··· | 141 | ······························<virtual>,·<state>·{ij}·e_{ij}···the.ela.ess, |
142 | dw_biot·······················<material>,········(\ul{v})······ | 142 | dw_biot·······················<material>,········(\ul{v})······bio, |
143 | BiotTerm······················<state>,·<virtual>·\mbox{·,·}····bio.npb.lag, | 143 | BiotTerm······················<state>,·<virtual>·\mbox{·,·}····bio.npb.lag, |
144 | ······························<material>,········\int_{\Omega}· | 144 | ······························<material>,········\int_{\Omega}·the.ela, |
145 | ······························<parameter_v>,·····q\·\alpha_···· | 145 | ······························<parameter_v>,·····q\·\alpha_····bio.sho.syn |
146 | ······························<parameter_s>······{ij}·e_{ij} | 146 | ······························<parameter_s>······{ij}·e_{ij} |
147 | ·················································(\ul{u}) | 147 | ·················································(\ul{u}) |
148 | ·················································\int_{\cal | 148 | ·················································\int_{\cal |
149 | ·················································{D}}·\ull{e} | 149 | ·················································{D}}·\ull{e} |
150 | ·················································(\ul{w}) | 150 | ·················································(\ul{w}) |
151 | ·················································\mbox{vector | 151 | ·················································\mbox{vector |
152 | ·················································for·}·K·\from | 152 | ·················································for·}·K·\from |
Offset 190, 16 lines modified | Offset 190, 16 lines modified | ||
190 | ·················································{n}·\ul{v} | 190 | ·················································{n}·\ul{v} |
191 | ······························<virtual>,·········\int_{\Omega} | 191 | ······························<virtual>,·········\int_{\Omega} |
192 | dw_convect_v_grad_s···········<state_v>,·········q·(\ul{u}·····poi.fun | 192 | dw_convect_v_grad_s···········<state_v>,·········q·(\ul{u}·····poi.fun |
193 | ConvectVGradSTerm·············<state_s>··········\cdot·\nabla | 193 | ConvectVGradSTerm·············<state_s>··········\cdot·\nabla |
194 | ·················································p) | 194 | ·················································p) |
195 | ·················································\int_{\Omega} | 195 | ·················································\int_{\Omega} |
196 | dw_convect·······································((\ul{u}······nav.sto, | 196 | dw_convect·······································((\ul{u}······nav.sto, |
197 | ConvectTerm···················<virtual>,·<state>·\cdot·\nabla)·nav.sto | 197 | ConvectTerm···················<virtual>,·<state>·\cdot·\nabla)·nav.sto, |
198 | ·················································\ul{u})·\cdot·nav.sto | 198 | ·················································\ul{u})·\cdot·nav.sto.iga |
199 | ·················································\ul{v} | 199 | ·················································\ul{v} |
200 | ·················································\ull{F}·= | 200 | ·················································\ull{F}·= |
201 | ·················································\pdiff{\ul | 201 | ·················································\pdiff{\ul |
202 | ·················································{x}}{\ul | 202 | ·················································{x}}{\ul |
203 | ·················································{X}}|_{qp}·= | 203 | ·················································{X}}|_{qp}·= |
204 | ·················································\ull{I}·+ | 204 | ·················································\ull{I}·+ |
205 | ev_def_grad······································\pdiff{\ul | 205 | ev_def_grad······································\pdiff{\ul |
Offset 214, 15 lines modified | Offset 214, 15 lines modified | ||
214 | ·················································{\partial | 214 | ·················································{\partial |
215 | ·················································{T_K}}·\ul{n} | 215 | ·················································{T_K}}·\ul{n} |
216 | ·················································\cdot·\ul{f}^ | 216 | ·················································\cdot·\ul{f}^ |
217 | ·················································{*}·(p_{in}, | 217 | ·················································{*}·(p_{in}, |
218 | ·················································p_{out})q | 218 | ·················································p_{out})q |
219 | ·················································where | 219 | ·················································where |
220 | ······························<opt_material>,····\ul{f}^{*}(p_ | 220 | ······························<opt_material>,····\ul{f}^{*}(p_ |
221 | dw_dg_advect_laxfrie_flux·····<material_advelo>,·{in},·p_······adv. | 221 | dw_dg_advect_laxfrie_flux·····<material_advelo>,·{in},·p_······adv.1D,·adv.2D, |
222 | AdvectionDGFluxTerm···········<virtual>,·<state>·{out})·=·\ul··adv.dif.2D | 222 | AdvectionDGFluxTerm···········<virtual>,·<state>·{out})·=·\ul··adv.dif.2D |
223 | ·················································{a}·\frac{p_ | 223 | ·················································{a}·\frac{p_ |
224 | ·················································{in}·+·p_ | 224 | ·················································{in}·+·p_ |
225 | ·················································{out}}{2}·+ | 225 | ·················································{out}}{2}·+ |
226 | ·················································(1·-·\alpha) | 226 | ·················································(1·-·\alpha) |
227 | ·················································\ul{n}·C | 227 | ·················································\ul{n}·C |
228 | ·················································\frac{·p_{in} | 228 | ·················································\frac{·p_{in} |
Offset 235, 16 lines modified | Offset 235, 16 lines modified | ||
235 | ·················································\nabla·p | 235 | ·················································\nabla·p |
236 | ·················································\rangle·[q] | 236 | ·················································\rangle·[q] |
237 | ·················································\mbox{·,·} | 237 | ·················································\mbox{·,·} |
238 | ·················································\int_ | 238 | ·················································\int_ |
239 | ·················································{\partial | 239 | ·················································{\partial |
240 | ·················································{T_K}}·D | 240 | ·················································{T_K}}·D |
241 | ······························<material>,········\langle | 241 | ······························<material>,········\langle |
242 | dw_dg_diffusion_flux··········<state>,·<virtual>·\nabla·q······ | 242 | dw_dg_diffusion_flux··········<state>,·<virtual>·\nabla·q······adv.dif.2D, |
243 | DiffusionDGFluxTerm···········<material>,········\rangle·[p]··· | 243 | DiffusionDGFluxTerm···········<material>,········\rangle·[p]···bur.2D,·lap.2D |
244 | ······························<virtual>,·<state>·where | 244 | ······························<virtual>,·<state>·where |
245 | ·················································\langle | 245 | ·················································\langle |
246 | ·················································\nabla·\phi | 246 | ·················································\nabla·\phi |
247 | ·················································\rangle·= | 247 | ·················································\rangle·= |
248 | ·················································\frac | 248 | ·················································\frac |
249 | ·················································{\nabla\phi_ | 249 | ·················································{\nabla\phi_ |
250 | ·················································{in}·+ | 250 | ·················································{in}·+ |
Offset 253, 16 lines modified | Offset 253, 16 lines modified | ||
253 | ·················································[\phi]·= | 253 | ·················································[\phi]·= |
254 | ·················································\phi_{in}·- | 254 | ·················································\phi_{in}·- |
255 | ·················································\phi_{out} | 255 | ·················································\phi_{out} |
256 | ·················································\int_ | 256 | ·················································\int_ |
257 | ·················································{\partial | 257 | ·················································{\partial |
258 | ·················································{T_K}}·\bar | 258 | ·················································{T_K}}·\bar |
259 | ·················································{D}·C_w·\frac | 259 | ·················································{D}·C_w·\frac |
260 | dw_dg_interior_penalty········<material>,········{Ord^2}{d····· | 260 | dw_dg_interior_penalty········<material>,········{Ord^2}{d·····adv.dif.2D, |
261 | DiffusionInteriorPenaltyTerm··<material_Cw>,·····(\partial····· | 261 | DiffusionInteriorPenaltyTerm··<material_Cw>,·····(\partial·····bur.2D,·lap.2D |
262 | ······························<virtual>,·<state>·{T_K})}[p][q] | 262 | ······························<virtual>,·<state>·{T_K})}[p][q] |
263 | ·················································where | 263 | ·················································where |
264 | ·················································[\phi]·= | 264 | ·················································[\phi]·= |
265 | ·················································\phi_{in}·- | 265 | ·················································\phi_{in}·- |
266 | ·················································\phi_{out} | 266 | ·················································\phi_{out} |
267 | ·················································\int_ | 267 | ·················································\int_ |
268 | ·················································{\partial | 268 | ·················································{\partial |
Offset 305, 34 lines modified | Offset 305, 34 lines modified | ||
305 | ·················································\bar{p}·/ | 305 | ·················································\bar{p}·/ |
306 | ·················································\int_{T_K}·1 | 306 | ·················································\int_{T_K}·1 |
307 | ·················································-·K_{ij} | 307 | ·················································-·K_{ij} |
308 | ·················································\nabla_j·\bar | 308 | ·················································\nabla_j·\bar |
309 | ·················································{p} | 309 | ·················································{p} |
310 | ·················································\int_{\Omega} | 310 | ·················································\int_{\Omega} |
311 | ·················································K_{ij} | 311 | ·················································K_{ij} |
312 | ······························<material>,········\nabla_i·q····bio.npb, | 312 | ······························<material>,········\nabla_i·q····bio.npb,·bio, |
313 | ······························<virtual>,·<state>·\nabla_j·p···· | 313 | ······························<virtual>,·<state>·\nabla_j·p····dar.flo.mul, |
314 | dw_diffusion··················<material>,········\mbox{·,·}····bio. | 314 | dw_diffusion··················<material>,········\mbox{·,·}····bio.npb.lag, |
315 | DiffusionTerm·················<parameter_1>,·····\int_{\Omega}· | 315 | DiffusionTerm·················<parameter_1>,·····\int_{\Omega}·poi.neu, |
316 | ······························<parameter_2>······K_{ij}········pie.ela, | 316 | ······························<parameter_2>······K_{ij}········pie.ela, |
317 | ·················································\nabla_i·\bar· | 317 | ·················································\nabla_i·\bar·bio.sho.syn |
318 | ·················································{p}·\nabla_j | 318 | ·················································{p}·\nabla_j |
319 | ·················································r | 319 | ·················································r |
320 | ·················································\int_{\Omega} | 320 | ·················································\int_{\Omega} |
321 | ·················································\nu\·\nabla | 321 | ·················································\nu\·\nabla |
322 | ·················································\ul{v}·: | 322 | ·················································\ul{v}·: |
323 | ·················································\nabla·\ul{u} | 323 | ·················································\nabla·\ul{u} |
324 | ·················································\mbox{·,·} | 324 | ·················································\mbox{·,·} |
325 | ·················································\int_{\Omega} | 325 | ·················································\int_{\Omega} |
326 | ·················································\nu\·\nabla | 326 | ·················································\nu\·\nabla |
327 | ······························<opt_material>,····\ul{u}·:······st | 327 | ······························<opt_material>,····\ul{u}·:······sto,·sto.sli.bc, |
328 | dw_div_grad···················<virtual>,·<state>·\nabla·\ul{w}·nav.sto | 328 | dw_div_grad···················<virtual>,·<state>·\nabla·\ul{w}·sta.nav.sto, |
329 | DivGradTerm···················<opt_material>,····\\·\int_······nav.sto, | 329 | DivGradTerm···················<opt_material>,····\\·\int_······nav.sto, |
330 | ······························<parameter_1>,·····{\Omega}······nav.sto, | 330 | ······························<parameter_1>,·····{\Omega}······nav.sto, |
331 | ······························<parameter_2>······\nabla·\ul{v}· | 331 | ······························<parameter_2>······\nabla·\ul{v}·nav.sto.iga |
332 | ·················································:·\nabla·\ul | 332 | ·················································:·\nabla·\ul |
333 | ·················································{u}·\mbox{·, | 333 | ·················································{u}·\mbox{·, |
334 | ·················································}·\int_ | 334 | ·················································}·\int_ |
335 | ·················································{\Omega} | 335 | ·················································{\Omega} |
336 | ·················································\nabla·\ul{u} | 336 | ·················································\nabla·\ul{u} |
337 | ·················································:·\nabla·\ul | 337 | ·················································:·\nabla·\ul |
338 | ·················································{w} | 338 | ·················································{w} |
Offset 365, 31 lines modified | Offset 365, 31 lines modified | ||
365 | ·················································\int_\Gamma | 365 | ·················································\int_\Gamma |
366 | ·················································\ul{v}·\cdot | 366 | ·················································\ul{v}·\cdot |
367 | ·················································\ul{n}·p | 367 | ·················································\ul{n}·p |
368 | ·················································\mbox{·,·} | 368 | ·················································\mbox{·,·} |
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