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3#ifndef DUNE_FUNCTIONS_FUNCTIONSPACEBASES_GLOBALVALUEDLOCALFINITEELEMENT_HH \n-
4#define DUNE_FUNCTIONS_FUNCTIONSPACEBASES_GLOBALVALUEDLOCALFINITEELEMENT_HH \n+
3#ifndef DUNE_FUNCTIONS_COMMON_FUNCTIONCONCEPT_HH \n+
4#define DUNE_FUNCTIONS_COMMON_FUNCTIONCONCEPT_HH \n
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6#include <dune/common/typelist.hh> \n+
7#include <dune/common/concept.hh> \n
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9#include <dune/common/fmatrix.hh> \n-
10#include <dune/common/fvector.hh> \n-
11#include <dune/common/math.hh> \n-
12#include <dune/common/rangeutilities.hh> \n-
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14#include <dune/geometry/referenceelements.hh> \n-
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16#include <dune/localfunctions/common/localbasis.hh> \n-
17#include <dune/localfunctions/common/localfiniteelementtraits.hh> \n-
18#include <dune/localfunctions/common/localinterpolation.hh> \n+
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17using namespace Dune::Concept;
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\n
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20namespace Dune::Functions::Impl
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\n
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36 struct ContravariantPiolaTransformator
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42 template<
typename Values,
typename LocalCoordinate,
typename Geometry>
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43 static auto apply(Values& values,
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44 const LocalCoordinate& xi,
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45 const Geometry& geometry)
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47 auto jacobianTransposed = geometry.jacobianTransposed(xi);
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48 auto integrationElement = geometry.integrationElement(xi);
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31template<
class... Args>
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36 f(std::declval<Args>()...)
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46template<
class F,
class... Args>
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50 for (
auto& value : values)
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53 jacobianTransposed.mtv(tmp, value);
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54 value /= integrationElement;
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67 template<
typename Gradients,
typename LocalCoordinate,
typename Geometry>
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68 static auto applyJacobian(Gradients& gradients,
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69 const LocalCoordinate& xi,
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70 const Geometry& geometry)
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72 auto jacobianTransposed = geometry.jacobianTransposed(xi);
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73 auto integrationElement = geometry.integrationElement(xi);
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74 for (
auto& gradient : gradients)
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78 for (
size_t k=0; k<gradient.M(); k++)
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79 for (
size_t l=0; l<tmp.N(); l++)
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81 for(
auto&& [jacobianTransposed_l_j, j] : sparseRange(jacobianTransposed[l]))
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82 gradient[j][k] += jacobianTransposed_l_j * tmp[l][k];
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83 gradient /= integrationElement;
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94 template<
class Function,
class LocalCoordinate,
class Element>
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95 class LocalValuedFunction
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98 const Element& element_;
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56template<
class F,
class... Args>
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65template<
class Signature>
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76template<
class Range,
class Domain>
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77struct Function<Range(Domain)> : Refines<Callable<Domain> >
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82 requireConvertible<Range>(f(std::declval<Domain>()))
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87template<
class F,
class Signature>
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89{
return models<Concept::Function<Signature>, F>(); }
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92template<
class F,
class Signature,
template<
class>
class DerivativeTraits>
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94{
return models<Concept::Function<Signature>, F>(); }
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102 LocalValuedFunction(
const Function& f,
const Element& element)
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103 : f_(f), element_(element)
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106 auto operator()(
const LocalCoordinate& xi)
const \n-
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108 auto&& f = Dune::Impl::makeFunctionWithCallOperator<LocalCoordinate>(f_);
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109 auto globalValue = f(xi);
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112 auto jacobianInverseTransposed = element_.geometry().jacobianInverseTransposed(xi);
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113 auto integrationElement = element_.geometry().integrationElement(xi);
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115 auto localValue = globalValue;
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116 jacobianInverseTransposed.mtv(globalValue, localValue);
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117 localValue *= integrationElement;
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137 struct CovariantPiolaTransformator
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143 template<
typename Values,
typename LocalCoordinate,
typename Geometry>
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144 static auto apply(Values& values,
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145 const LocalCoordinate& xi,
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146 const Geometry& geometry)
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148 auto jacobianInverseTransposed = geometry.jacobianInverseTransposed(xi);
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150 for (
auto& value : values)
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153 jacobianInverseTransposed.mv(tmp, value);
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166 template<
typename Gradients,
typename LocalCoordinate,
typename Geometry>
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167 static auto applyJacobian(Gradients& gradients,
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168 const LocalCoordinate& xi,
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169 const Geometry& geometry)
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171 auto jacobianInverseTransposed = geometry.jacobianInverseTransposed(xi);
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173 for (
auto& gradient : gradients)
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177 for (
size_t j=0; j<gradient.N(); j++)
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178 for (
size_t k=0; k<gradient.M(); k++)
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180 for(
auto&& [jacobianInverseTransposed_j_l, l] : sparseRange(jacobianInverseTransposed[j]))
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181 gradient[j][k] += jacobianInverseTransposed_j_l * tmp[l][k];
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192 template<
class Function,
class LocalCoordinate,
class Element>
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193 class LocalValuedFunction
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196 const Element& element_;
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200 LocalValuedFunction(
const Function& f,
const Element& element)
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201 : f_(f), element_(element)
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204 auto operator()(
const LocalCoordinate& xi)
const \n-
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206 auto&& f = Dune::Impl::makeFunctionWithCallOperator<LocalCoordinate>(f_);
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207 auto globalValue = f(xi);
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210 auto jacobianTransposed = element_.geometry().jacobianTransposed(xi);
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212 auto localValue = globalValue;
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213 jacobianTransposed.mv(globalValue, localValue);
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226 template<
class Transformator,
class LocalValuedLocalBasis,
class Element>
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227 class GlobalValuedLocalBasis
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230 using Traits =
typename LocalValuedLocalBasis::Traits;
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234 void bind(
const LocalValuedLocalBasis& localValuedLocalBasis,
const Element& element)
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236 localValuedLocalBasis_ = &localValuedLocalBasis;
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113template<
class Range,
class Domain,
template<
class>
class DerivativeTraits>
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114struct DifferentiableFunction<Range(Domain), DerivativeTraits> : Refines<Dune::Functions::Concept::Function<Range(Domain)> >
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121 requireConcept<Function<DerivativeSignature>>(
derivative(f))
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128{
return models<Concept::DifferentiableFunction<Signature, DerivativeTraits>, F>(); }
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131template<
class F,
class Signature,
template<
class>
class DerivativeTraits>
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133{
return models<Concept::DifferentiableFunction<Signature, DerivativeTraits>, F>(); }
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138template<
class Signature,
class LocalContext>
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150template<
class Range,
class Domain,
class LocalContext>
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152 Refines<Dune::Functions::Concept::Function<Range(Domain)> >
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156 f.bind(std::declval<LocalContext>()),
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158 requireConvertible<bool>(f.bound()),
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160 requireConvertible<LocalContext>(f.localContext())
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165template<
class F,
class Signature,
class LocalContext>
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167{
return models<Concept::LocalFunction<Signature, LocalContext>, F>(); }
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186template<
class Range,
class Domain,
class LocalContext,
template<
class>
class DerivativeTraits>
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189 Dune::Functions::Concept::DifferentiableFunction<Range(Domain), DerivativeTraits>,
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190 Dune::Functions::Concept::LocalFunction<Range(Domain),LocalContext>
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195 f.bind(std::declval<LocalContext>()),
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198 requireConvertible<LocalContext>(f.localContext())
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203template<
class F,
class Signature,
class LocalContext,
template<
class>
class DerivativeTraits =
DefaultDerivativeTraits>
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205{
return models<Concept::DifferentiableLocalFunction<Signature, LocalContext, DerivativeTraits>, F>(); }
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223 requireType<typename E::Element>(),
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224 requireType<typename E::LocalCoordinate>(),
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225 requireType<typename E::GlobalCoordinate>()
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232{
return models<Concept::EntitySet, E>(); }
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237template<
class Signature,
class EntitySet>
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244 return localValuedLocalBasis_->size();
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248 void evaluateFunction(
const typename Traits::DomainType& x,
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249 std::vector<typename Traits::RangeType>& out)
const \n-
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251 localValuedLocalBasis_->evaluateFunction(x,out);
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253 Transformator::apply(out, x, element_->geometry());
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249template<
class Range,
class Domain,
class EntitySet>
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251 Refines<Dune::Functions::Concept::Function<Range(Domain)> >
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261 void evaluateJacobian(
const typename Traits::DomainType& x,
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262 std::vector<typename Traits::JacobianType>& out)
const \n-
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264 localValuedLocalBasis_->evaluateJacobian(x,out);
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266 Transformator::applyJacobian(out, x, element_->geometry());
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275 void partial(
const std::array<unsigned int,2>& order,
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276 const typename Traits::DomainType& x,
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277 std::vector<typename Traits::RangeType>& out)
const \n-
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279 auto totalOrder = std::accumulate(order.begin(), order.end(), 0);
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280 if (totalOrder == 0) {
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281 evaluateFunction(x, out);
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282 }
else if (totalOrder == 1) {
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283 auto const direction = std::distance(order.begin(), std::find(order.begin(), order.end(), 1));
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290 std::vector<typename Traits::JacobianType> fullJacobian;
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291 localValuedLocalBasis_->evaluateJacobian(x,fullJacobian);
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293 Transformator::applyJacobian(fullJacobian, x, element_->geometry());
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295 for (std::size_t i=0; i<out.size(); i++)
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296 for (std::size_t j=0; j<out[i].size(); j++)
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297 out[i][j] = fullJacobian[i][j][direction];
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260 requireConcept<LocalFunction<LocalSignature, LocalContext>>(localFunction(f)),
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261 requireConcept<Concept::EntitySet, EntitySet>(),
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262 requireConvertible<EntitySet>(f.entitySet()),
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263 requireConvertible<typename EntitySet::GlobalCoordinate, Domain>()
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268template<
class F,
class Signature,
class EntitySet>
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270{
return models<Concept::GridFunction<Signature, EntitySet>, F>(); }
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289template<
class Range,
class Domain,
class EntitySet,
template<
class>
class DerivativeTraits>
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292 Dune::Functions::Concept::DifferentiableFunction<Range(Domain), DerivativeTraits>,
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293 Dune::Functions::Concept::GridFunction<Range(Domain),EntitySet>
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300 DUNE_THROW(NotImplemented,
"Partial derivatives of order 2 or higher");
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306 return localValuedLocalBasis_->order();
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309 const LocalValuedLocalBasis* localValuedLocalBasis_;
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310 const Element* element_;
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304 requireConcept<DifferentiableLocalFunction<LocalSignature, LocalContext, LocalDerivativeTraits>>(localFunction(f))
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309template<
class F,
class Signature,
class EntitySet,
template<
class>
class DerivativeTraits =
DefaultDerivativeTraits>
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311{
return models<Concept::DifferentiableGridFunction<Signature, EntitySet, DerivativeTraits>, F>(); }
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321 template<
class Transformator,
class LocalValuedLocalInterpolation,
class Element>
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322 class GlobalValuedLocalInterpolation
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327 void bind(
const LocalValuedLocalInterpolation& localValuedLocalInterpolation,
const Element& element)
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329 localValuedLocalInterpolation_ = &localValuedLocalInterpolation;
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333 template<
typename F,
typename C>
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334 void interpolate (
const F& f, std::vector<C>& out)
const \n-
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336 using LocalCoordinate =
typename Element::Geometry::LocalCoordinate;
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337 typename Transformator::template LocalValuedFunction<F,LocalCoordinate,Element> localValuedFunction(f, *element_);
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338 localValuedLocalInterpolation_->interpolate(localValuedFunction, out);
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316template<
class Signature,
class Gr
idView>
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331template<
class Range,
class Domain,
class Gr
idView>
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333 Refines<Dune::Functions::Concept::GridFunction<Range(Domain), GridViewEntitySet<GridView,0>>>
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342 const LocalValuedLocalInterpolation* localValuedLocalInterpolation_;
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343 const Element* element_;
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342template<
class F,
class Signature,
class Gr
idView>
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344{
return models<Concept::GridViewFunction<Signature, GridView>, F>(); }
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353 template<
class Transformator,
class LocalValuedLFE,
class Element>
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354 class GlobalValuedLocalFiniteElement
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356 using LocalBasis = GlobalValuedLocalBasis<Transformator,
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357 typename LocalValuedLFE::Traits::LocalBasisType,
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359 using LocalInterpolation = GlobalValuedLocalInterpolation<Transformator,
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360 typename LocalValuedLFE::Traits::LocalInterpolationType,
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366 using Traits = LocalFiniteElementTraits<LocalBasis,
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367 typename LocalValuedLFE::Traits::LocalCoefficientsType,
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370 GlobalValuedLocalFiniteElement() {}
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372 void bind(
const LocalValuedLFE& localValuedLFE,
const Element& element)
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374 globalValuedLocalBasis_.bind(localValuedLFE.localBasis(), element);
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375 globalValuedLocalInterpolation_.bind(localValuedLFE.localInterpolation(), element);
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376 localValuedLFE_ = &localValuedLFE;
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364template<
class Range,
class Domain,
class Gr
idView,
template<
class>
class DerivativeTraits>
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366 Refines<Dune::Functions::Concept::DifferentiableGridFunction<Range(Domain), GridViewEntitySet<GridView,0>, DerivativeTraits>>
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375template<
class F,
class Signature,
class Gr
idView,
template<
class>
class DerivativeTraits =
DefaultDerivativeTraits>
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377{
return models<Concept::DifferentiableGridViewFunction<Signature, GridView, DerivativeTraits>, F>(); }
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381 const typename Traits::LocalBasisType& localBasis()
const \n-
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383 return globalValuedLocalBasis_;
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388 const typename Traits::LocalCoefficientsType& localCoefficients()
const \n-
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390 return localValuedLFE_->localCoefficients();
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395 const typename Traits::LocalInterpolationType& localInterpolation()
const \n-
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397 return globalValuedLocalInterpolation_;
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401 std::size_t size()
const \n-
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403 return localValuedLFE_->size();
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408 GeometryType type()
const \n-
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410 return localValuedLFE_->type();
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415 typename Traits::LocalBasisType globalValuedLocalBasis_;
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416 typename Traits::LocalInterpolationType globalValuedLocalInterpolation_;
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417 const LocalValuedLFE* localValuedLFE_;
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void interpolate(const B &basis, C &&coeff, const F &f, const BV &bv, const NTRE &nodeToRangeEntry)
Interpolate given function in discrete function space.
Definition interpolate.hh:202
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static constexpr bool isGridFunction()
Check if F models the GridFunction concept with given signature and entity set.
Definition functionconcepts.hh:269
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static constexpr bool isDifferentiableLocalFunction()
Check if F models the DifferentiableLocalFunction concept with given signature and local context.
Definition functionconcepts.hh:204
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static constexpr bool isFunction()
Check if F models the Function concept with given signature.
Definition functionconcepts.hh:88
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static constexpr bool isDifferentiableGridViewFunction()
Check if F models the DifferentiableGridViewFunction concept with given signature.
Definition functionconcepts.hh:376
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static constexpr bool isDifferentiableFunction()
Check if F models the DifferentiableFunction concept with given signature.
Definition functionconcepts.hh:127
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static constexpr bool isGridViewFunction()
Check if F models the GridViewFunction concept with given signature.
Definition functionconcepts.hh:343
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static constexpr bool isEntitySet()
Check if F models the GridFunction concept with given signature and entity set.
Definition functionconcepts.hh:231
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static constexpr bool isDifferentiableGridFunction()
Check if F models the DifferentiableGridFunction concept with given signature and entity set.
Definition functionconcepts.hh:310
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static constexpr bool isLocalFunction()
Check if F models the LocalFunction concept with given signature and local context.
Definition functionconcepts.hh:166
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TrigonometricFunction< K, -cosFactor, sinFactor > derivative(const TrigonometricFunction< K, sinFactor, cosFactor > &f)
Obtain derivative of TrigonometricFunction function.
Definition trigonometricfunction.hh:39
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static constexpr auto isCallable()
Check if f is callable with given argument list.
Definition functionconcepts.hh:47
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Definition polynomial.hh:10
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Default implementation for derivative traits.
Definition defaultderivativetraits.hh:37
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Concept objects that can be called with given argument list.
Definition functionconcepts.hh:33
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auto require(F &&f) -> decltype(f(std::declval< Args >()...))
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Definition functionconcepts.hh:66
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auto require(F &&f) -> decltype(requireConvertible< Range >(f(std::declval< Domain >())))
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Definition functionconcepts.hh:100
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typename SignatureTraits< Range(Domain)>::template DerivativeSignature< DerivativeTraits > DerivativeSignature
Definition functionconcepts.hh:116
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auto require(F &&f) -> decltype(derivative(f), requireConcept< Function< DerivativeSignature > >(derivative(f)))
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Definition functionconcepts.hh:139
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auto require(F &&f) -> decltype(f.bind(std::declval< LocalContext >()), f.unbind(), requireConvertible< bool >(f.bound()), f.localContext(), requireConvertible< LocalContext >(f.localContext()))
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Definition functionconcepts.hh:172
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auto require(F &&f) -> decltype(f.bind(std::declval< LocalContext >()), f.unbind(), f.localContext(), requireConvertible< LocalContext >(f.localContext()))
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Concept for an entity set for a Concept::GridFunction<Range(Domain), EntitySet, DerivativeTraits>
Definition functionconcepts.hh:220
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auto require(E &&f) -> decltype(requireType< typename E::Element >(), requireType< typename E::LocalCoordinate >(), requireType< typename E::GlobalCoordinate >())
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Definition functionconcepts.hh:238
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typename EntitySet::Element LocalContext
Definition functionconcepts.hh:254
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Range(typename EntitySet::LocalCoordinate) LocalSignature
Definition functionconcepts.hh:253
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auto require(F &&f) -> decltype(localFunction(f), f.entitySet(), requireConcept< LocalFunction< LocalSignature, LocalContext > >(localFunction(f)), requireConcept< Concept::EntitySet, EntitySet >(), requireConvertible< EntitySet >(f.entitySet()), requireConvertible< typename EntitySet::GlobalCoordinate, Domain >())
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Definition functionconcepts.hh:275
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typename Dune::Functions::LocalDerivativeTraits< EntitySet, DerivativeTraits >::template Traits< R > LocalDerivativeTraits
Definition functionconcepts.hh:300
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auto require(F &&f) -> decltype(requireConcept< DifferentiableLocalFunction< LocalSignature, LocalContext, LocalDerivativeTraits > >(localFunction(f)))
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Range(typename EntitySet::LocalCoordinate) LocalSignature
Definition functionconcepts.hh:296
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typename EntitySet::Element LocalContext
Definition functionconcepts.hh:297
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Definition functionconcepts.hh:317
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auto require(F &&f) -> decltype(0)
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Definition functionconcepts.hh:349
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auto require(F &&f) -> decltype(0)
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Helper class to deduce the signature of a callable.
Definition signature.hh:56
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Definition signature.hh:102
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Derivative traits for local functions.
Definition localderivativetraits.hh:28
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1.9.8\n \n \n", "details": [{"source1": "html2text {}", "source2": "html2text {}", "unified_diff": "@@ -1,39 +1,27 @@\n dune-functions\u00a02.9.0\n Loading...\n Searching...\n No Matches\n * _\bd_\bu_\bn_\be\n * _\bf_\bu_\bn_\bc_\bt_\bi_\bo_\bn_\bs\n- * _\bf_\bu_\bn_\bc_\bt_\bi_\bo_\bn_\bs_\bp_\ba_\bc_\be_\bb_\ba_\bs_\be_\bs\n-_\bC_\bl_\ba_\bs_\bs_\be_\bs | _\bN_\ba_\bm_\be_\bs_\bp_\ba_\bc_\be_\bs | _\bF_\bu_\bn_\bc_\bt_\bi_\bo_\bn_\bs\n-subentitydofs.hh File Reference\n-#include