Reference documentation for deal.II version GIT 9d46a3bd8c 2023-10-03 12:10:02+00:00
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fe_system.h
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15 
16 #ifndef dealii_fe_system_h
17 #define dealii_fe_system_h
18 
19 #include <deal.II/base/config.h>
20 
21 #include <deal.II/fe/fe.h>
22 #include <deal.II/fe/fe_tools.h>
23 
24 #include <memory>
25 #include <type_traits>
26 #include <utility>
27 #include <vector>
28 
30 
31 // Forward declaration
32 #ifndef DOXYGEN
33 template <int dim, int spacedim>
34 class FE_Enriched;
35 #endif
36 
207 template <int dim, int spacedim = dim>
208 class FESystem : public FiniteElement<dim, spacedim>
209 {
210 public:
215  FESystem() = delete;
216 
248  const unsigned int n_elements);
249 
257  const unsigned int n1,
258  const FiniteElement<dim, spacedim> &fe2,
259  const unsigned int n2);
260 
268  const unsigned int n1,
269  const FiniteElement<dim, spacedim> &fe2,
270  const unsigned int n2,
271  const FiniteElement<dim, spacedim> &fe3,
272  const unsigned int n3);
273 
281  const unsigned int n1,
282  const FiniteElement<dim, spacedim> &fe2,
283  const unsigned int n2,
284  const FiniteElement<dim, spacedim> &fe3,
285  const unsigned int n3,
286  const FiniteElement<dim, spacedim> &fe4,
287  const unsigned int n4);
288 
296  const unsigned int n1,
297  const FiniteElement<dim, spacedim> &fe2,
298  const unsigned int n2,
299  const FiniteElement<dim, spacedim> &fe3,
300  const unsigned int n3,
301  const FiniteElement<dim, spacedim> &fe4,
302  const unsigned int n4,
303  const FiniteElement<dim, spacedim> &fe5,
304  const unsigned int n5);
305 
491  FESystem(const std::vector<const FiniteElement<dim, spacedim> *> &fes,
492  const std::vector<unsigned int> &multiplicities);
493 
494 #if !defined(__INTEL_COMPILER) || __INTEL_COMPILER >= 1900
537  template <
538  class... FEPairs,
539  typename = enable_if_all_t<
540  (std::is_same_v<std::decay_t<FEPairs>,
541  std::pair<std::unique_ptr<FiniteElement<dim, spacedim>>,
542  unsigned int>> ||
543  std::is_base_of_v<FiniteElement<dim, spacedim>,
544  std::decay_t<FEPairs>>)...>>
545  FESystem(FEPairs &&...fe_pairs);
546 
560  const std::initializer_list<
561  std::pair<std::unique_ptr<FiniteElement<dim, spacedim>>, unsigned int>>
562  &fe_systems);
563 #endif
564 
570 
574  FESystem(FESystem<dim, spacedim> &&other_fe_system) noexcept
575  : FiniteElement<dim, spacedim>(std::move(other_fe_system))
576  {
577  base_elements = std::move(other_fe_system.base_elements);
579  std::move(other_fe_system.generalized_support_points_index_table);
580  }
581 
585  virtual ~FESystem() override = default;
586 
595  virtual std::string
596  get_name() const override;
597 
598  virtual std::unique_ptr<FiniteElement<dim, spacedim>>
599  clone() const override;
600 
601  virtual UpdateFlags
602  requires_update_flags(const UpdateFlags update_flags) const override;
603 
604  // make variant with ComponentMask also available:
606 
610  virtual const FiniteElement<dim, spacedim> &
611  get_sub_fe(const unsigned int first_component,
612  const unsigned int n_selected_components) const override;
613 
626  virtual double
627  shape_value(const unsigned int i, const Point<dim> &p) const override;
628 
637  virtual double
638  shape_value_component(const unsigned int i,
639  const Point<dim> &p,
640  const unsigned int component) const override;
641 
656  virtual Tensor<1, dim>
657  shape_grad(const unsigned int i, const Point<dim> &p) const override;
658 
667  virtual Tensor<1, dim>
668  shape_grad_component(const unsigned int i,
669  const Point<dim> &p,
670  const unsigned int component) const override;
671 
686  virtual Tensor<2, dim>
687  shape_grad_grad(const unsigned int i, const Point<dim> &p) const override;
688 
697  virtual Tensor<2, dim>
698  shape_grad_grad_component(const unsigned int i,
699  const Point<dim> &p,
700  const unsigned int component) const override;
701 
716  virtual Tensor<3, dim>
717  shape_3rd_derivative(const unsigned int i,
718  const Point<dim> &p) const override;
719 
728  virtual Tensor<3, dim>
729  shape_3rd_derivative_component(const unsigned int i,
730  const Point<dim> &p,
731  const unsigned int component) const override;
732 
747  virtual Tensor<4, dim>
748  shape_4th_derivative(const unsigned int i,
749  const Point<dim> &p) const override;
750 
759  virtual Tensor<4, dim>
760  shape_4th_derivative_component(const unsigned int i,
761  const Point<dim> &p,
762  const unsigned int component) const override;
763 
775  virtual void
777  FullMatrix<double> &matrix) const override;
778 
785  virtual const FiniteElement<dim, spacedim> &
786  base_element(const unsigned int index) const override;
787 
792  virtual bool
793  has_support_on_face(const unsigned int shape_index,
794  const unsigned int face_index) const override;
795 
819  virtual const FullMatrix<double> &
821  const unsigned int child,
822  const RefinementCase<dim> &refinement_case =
824 
852  virtual const FullMatrix<double> &
854  const unsigned int child,
855  const RefinementCase<dim> &refinement_case =
857 
896  virtual unsigned int
897  face_to_cell_index(const unsigned int face_dof_index,
898  const unsigned int face,
899  const bool face_orientation = true,
900  const bool face_flip = false,
901  const bool face_rotation = false) const override;
902 
906  virtual Point<dim>
907  unit_support_point(const unsigned int index) const override;
908 
912  virtual Point<dim - 1>
913  unit_face_support_point(const unsigned int index,
914  const unsigned int face_no = 0) const override;
915 
923  virtual std::pair<Table<2, bool>, std::vector<unsigned int>>
924  get_constant_modes() const override;
925 
938  virtual bool
940 
953  virtual void
956  const unsigned int face_no = 0) const override;
957 
958 
971  virtual void
973  const FiniteElement<dim, spacedim> &source,
974  const unsigned int subface,
976  const unsigned int face_no = 0) const override;
977 
993  virtual std::vector<std::pair<unsigned int, unsigned int>>
995  const FiniteElement<dim, spacedim> &fe_other) const override;
996 
1001  virtual std::vector<std::pair<unsigned int, unsigned int>>
1003  const FiniteElement<dim, spacedim> &fe_other) const override;
1004 
1009  virtual std::vector<std::pair<unsigned int, unsigned int>>
1011  const unsigned int face_no = 0) const override;
1012 
1018  const unsigned int codim = 0) const override final;
1019 
1036  virtual void
1038  const std::vector<Vector<double>> &support_point_values,
1039  std::vector<double> &dof_values) const override;
1040 
1049  virtual std::size_t
1050  memory_consumption() const override;
1051 
1064  {
1068  unsigned int n_nonzero_components;
1069 
1075  unsigned int in_index;
1076 
1082  unsigned int out_index;
1083  };
1084 
1085 protected:
1086  virtual std::unique_ptr<
1089  const UpdateFlags update_flags,
1090  const Mapping<dim, spacedim> &mapping,
1091  const Quadrature<dim> &quadrature,
1093  spacedim>
1094  &output_data) const override;
1095 
1097 
1098  virtual std::unique_ptr<
1101  const UpdateFlags update_flags,
1102  const Mapping<dim, spacedim> &mapping,
1103  const hp::QCollection<dim - 1> &quadrature,
1105  spacedim>
1106  &output_data) const override;
1107 
1108  virtual std::unique_ptr<
1111  const UpdateFlags update_flags,
1112  const Mapping<dim, spacedim> &mapping,
1113  const Quadrature<dim - 1> &quadrature,
1115  spacedim>
1116  &output_data) const override;
1117 
1118  virtual void
1120  const typename Triangulation<dim, spacedim>::cell_iterator &cell,
1121  const CellSimilarity::Similarity cell_similarity,
1122  const Quadrature<dim> &quadrature,
1123  const Mapping<dim, spacedim> &mapping,
1124  const typename Mapping<dim, spacedim>::InternalDataBase &mapping_internal,
1126  &mapping_data,
1127  const typename FiniteElement<dim, spacedim>::InternalDataBase &fe_internal,
1129  spacedim>
1130  &output_data) const override;
1131 
1133 
1134  virtual void
1136  const typename Triangulation<dim, spacedim>::cell_iterator &cell,
1137  const unsigned int face_no,
1138  const hp::QCollection<dim - 1> &quadrature,
1139  const Mapping<dim, spacedim> &mapping,
1140  const typename Mapping<dim, spacedim>::InternalDataBase &mapping_internal,
1142  &mapping_data,
1143  const typename FiniteElement<dim, spacedim>::InternalDataBase &fe_internal,
1145  spacedim>
1146  &output_data) const override;
1147 
1148  virtual void
1150  const typename Triangulation<dim, spacedim>::cell_iterator &cell,
1151  const unsigned int face_no,
1152  const unsigned int sub_no,
1153  const Quadrature<dim - 1> &quadrature,
1154  const Mapping<dim, spacedim> &mapping,
1155  const typename Mapping<dim, spacedim>::InternalDataBase &mapping_internal,
1157  &mapping_data,
1158  const typename FiniteElement<dim, spacedim>::InternalDataBase &fe_internal,
1160  spacedim>
1161  &output_data) const override;
1162 
1173  template <class Q_or_QC>
1174  void
1176  const Mapping<dim, spacedim> &mapping,
1177  const typename Triangulation<dim, spacedim>::cell_iterator &cell,
1178  const unsigned int face_no,
1179  const unsigned int sub_no,
1180  const Q_or_QC &quadrature,
1181  const CellSimilarity::Similarity cell_similarity,
1182  const typename Mapping<dim, spacedim>::InternalDataBase &mapping_internal,
1183  const typename FiniteElement<dim, spacedim>::InternalDataBase &fe_data,
1185  &mapping_data,
1187  &output_data) const;
1188 
1189 private:
1194 
1204  std::vector<Table<2, unsigned int>> primitive_offset_tables;
1205 
1209  std::vector<std::vector<BaseOffsets>> nonprimitive_offset_tables;
1210 
1218  std::vector<std::pair<std::unique_ptr<const FiniteElement<dim, spacedim>>,
1219  unsigned int>>
1221 
1234  std::vector<std::vector<std::size_t>> generalized_support_points_index_table;
1235 
1241  void
1242  initialize(const std::vector<const FiniteElement<dim, spacedim> *> &fes,
1243  const std::vector<unsigned int> &multiplicities);
1244 
1248  void
1250 
1256  template <int structdim>
1257  std::vector<std::pair<unsigned int, unsigned int>>
1259  const unsigned int face_no = 0) const;
1260 
1267  class InternalData : public FiniteElement<dim, spacedim>::InternalDataBase
1268  {
1269  public:
1274  InternalData(const unsigned int n_base_elements);
1275 
1280  ~InternalData() override;
1281 
1286  void
1288  const unsigned int base_no,
1289  std::unique_ptr<typename FiniteElement<dim, spacedim>::InternalDataBase>);
1290 
1296  get_fe_data(const unsigned int base_no) const;
1297 
1304  get_fe_output_object(const unsigned int base_no) const;
1305 
1306  private:
1317  typename std::vector<
1318  std::unique_ptr<typename FiniteElement<dim, spacedim>::InternalDataBase>>
1320 
1329  mutable std::vector<
1332  };
1333 
1337  mutable std::mutex mutex;
1338 
1339  friend class FE_Enriched<dim, spacedim>;
1340 };
1341 
1342 //------------------------variadic template constructor------------------------
1343 
1344 #ifndef DOXYGEN
1345 namespace internal
1346 {
1347  namespace FESystemImplementation
1348  {
1349  template <int dim, int spacedim>
1350  unsigned int
1351  count_nonzeros(
1352  const std::initializer_list<
1353  std::pair<std::unique_ptr<FiniteElement<dim, spacedim>>, unsigned int>>
1354  &fe_systems)
1355  {
1356  return std::count_if(
1357  fe_systems.begin(),
1358  fe_systems.end(),
1359  [](const std::pair<std::unique_ptr<FiniteElement<dim, spacedim>>,
1360  unsigned int> &fe_system) {
1361  return fe_system.second > 0;
1362  });
1363  }
1364 
1365 
1366 
1367  template <int dim, int spacedim>
1368  std::pair<std::unique_ptr<FiniteElement<dim, spacedim>>, unsigned int>
1369  promote_to_fe_pair(const FiniteElement<dim, spacedim> &fe)
1370  {
1371  return std::make_pair(std::move(fe.clone()), 1u);
1372  }
1373 
1374 
1375 
1376  template <int dim, int spacedim>
1377  auto
1378  promote_to_fe_pair(std::pair<std::unique_ptr<FiniteElement<dim, spacedim>>,
1379  unsigned int> &&p)
1380  -> decltype(std::forward<
1381  std::pair<std::unique_ptr<FiniteElement<dim, spacedim>>,
1382  unsigned int>>(p))
1383  {
1384  return std::forward<
1385  std::pair<std::unique_ptr<FiniteElement<dim, spacedim>>, unsigned int>>(
1386  p);
1387  }
1388  } // namespace FESystemImplementation
1389 } // namespace internal
1390 
1391 
1392 
1393 # if !defined(__INTEL_COMPILER) || __INTEL_COMPILER >= 1900
1394 // We are just forwarding/delegating to the constructor taking a
1395 // std::initializer_list. If we decide to remove the deprecated constructors, we
1396 // might just use the variadic constructor with a suitable static_assert instead
1397 // of the std::enable_if.
1398 template <int dim, int spacedim>
1399 template <class... FEPairs, typename>
1400 FESystem<dim, spacedim>::FESystem(FEPairs &&...fe_pairs)
1401  : FESystem<dim, spacedim>(
1402  {internal::FESystemImplementation::promote_to_fe_pair<dim, spacedim>(
1403  std::forward<FEPairs>(fe_pairs))...})
1404 {}
1405 
1406 
1407 
1408 template <int dim, int spacedim>
1410  const std::initializer_list<
1411  std::pair<std::unique_ptr<FiniteElement<dim, spacedim>>, unsigned int>>
1412  &fe_systems)
1413  : FiniteElement<dim, spacedim>(
1414  FETools::Compositing::multiply_dof_numbers<dim, spacedim>(fe_systems),
1416  spacedim>(
1417  fe_systems),
1418  FETools::Compositing::compute_nonzero_components<dim, spacedim>(
1419  fe_systems))
1420  , base_elements(internal::FESystemImplementation::count_nonzeros(fe_systems))
1421 {
1422  std::vector<const FiniteElement<dim, spacedim> *> fes;
1423  std::vector<unsigned int> multiplicities;
1424 
1425  const auto extract =
1426  [&fes, &multiplicities](
1427  const std::pair<std::unique_ptr<FiniteElement<dim, spacedim>>,
1428  unsigned int> &fe_system) {
1429  fes.push_back(fe_system.first.get());
1430  multiplicities.push_back(fe_system.second);
1431  };
1432 
1433  for (const auto &p : fe_systems)
1434  extract(p);
1435 
1436  initialize(fes, multiplicities);
1437 }
1438 # endif
1439 #endif // DOXYGEN
1440 
1442 
1443 #endif
void set_fe_data(const unsigned int base_no, std::unique_ptr< typename FiniteElement< dim, spacedim >::InternalDataBase >)
InternalData(const unsigned int n_base_elements)
std::vector< std::unique_ptr< typename FiniteElement< dim, spacedim >::InternalDataBase > > base_fe_datas
Definition: fe_system.h:1319
internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > & get_fe_output_object(const unsigned int base_no) const
std::vector< internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > > base_fe_output_objects
Definition: fe_system.h:1331
FiniteElement< dim, spacedim >::InternalDataBase & get_fe_data(const unsigned int base_no) const
virtual Tensor< 4, dim > shape_4th_derivative(const unsigned int i, const Point< dim > &p) const override
virtual Point< dim - 1 > unit_face_support_point(const unsigned int index, const unsigned int face_no=0) const override
FESystem(const std::initializer_list< std::pair< std::unique_ptr< FiniteElement< dim, spacedim >>, unsigned int >> &fe_systems)
FESystem(const FESystem< dim, spacedim > &)=delete
FESystem(FEPairs &&...fe_pairs)
FESystem()=delete
std::mutex mutex
Definition: fe_system.h:1337
std::vector< std::vector< BaseOffsets > > nonprimitive_offset_tables
Definition: fe_system.h:1209
virtual Tensor< 3, dim > shape_3rd_derivative_component(const unsigned int i, const Point< dim > &p, const unsigned int component) const override
virtual Tensor< 1, dim > shape_grad(const unsigned int i, const Point< dim > &p) const override
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_line_dof_identities(const FiniteElement< dim, spacedim > &fe_other) const override
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_vertex_dof_identities(const FiniteElement< dim, spacedim > &fe_other) const override
virtual void fill_fe_values(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const CellSimilarity::Similarity cell_similarity, const Quadrature< dim > &quadrature, const Mapping< dim, spacedim > &mapping, const typename Mapping< dim, spacedim >::InternalDataBase &mapping_internal, const internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &mapping_data, const typename FiniteElement< dim, spacedim >::InternalDataBase &fe_internal, ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > &output_data) const override
virtual Tensor< 2, dim > shape_grad_grad(const unsigned int i, const Point< dim > &p) const override
virtual unsigned int face_to_cell_index(const unsigned int face_dof_index, const unsigned int face, const bool face_orientation=true, const bool face_flip=false, const bool face_rotation=false) const override
virtual std::unique_ptr< FiniteElement< dim, spacedim > > clone() const override
virtual Point< dim > unit_support_point(const unsigned int index) const override
std::vector< std::pair< std::unique_ptr< const FiniteElement< dim, spacedim > >, unsigned int > > base_elements
Definition: fe_system.h:1220
std::vector< Table< 2, unsigned int > > primitive_offset_tables
Definition: fe_system.h:1204
virtual std::string get_name() const override
FESystem(const FiniteElement< dim, spacedim > &fe1, const unsigned int n1, const FiniteElement< dim, spacedim > &fe2, const unsigned int n2, const FiniteElement< dim, spacedim > &fe3, const unsigned int n3)
virtual UpdateFlags requires_update_flags(const UpdateFlags update_flags) const override
virtual FiniteElementDomination::Domination compare_for_domination(const FiniteElement< dim, spacedim > &fe_other, const unsigned int codim=0) const override final
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_quad_dof_identities(const FiniteElement< dim, spacedim > &fe_other, const unsigned int face_no=0) const override
virtual Tensor< 4, dim > shape_4th_derivative_component(const unsigned int i, const Point< dim > &p, const unsigned int component) const override
virtual void fill_fe_face_values(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const hp::QCollection< dim - 1 > &quadrature, const Mapping< dim, spacedim > &mapping, const typename Mapping< dim, spacedim >::InternalDataBase &mapping_internal, const internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &mapping_data, const typename FiniteElement< dim, spacedim >::InternalDataBase &fe_internal, ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > &output_data) const override
virtual std::pair< Table< 2, bool >, std::vector< unsigned int > > get_constant_modes() const override
virtual void convert_generalized_support_point_values_to_dof_values(const std::vector< Vector< double >> &support_point_values, std::vector< double > &dof_values) const override
void compute_fill(const Mapping< dim, spacedim > &mapping, const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const unsigned int sub_no, const Q_or_QC &quadrature, const CellSimilarity::Similarity cell_similarity, const typename Mapping< dim, spacedim >::InternalDataBase &mapping_internal, const typename FiniteElement< dim, spacedim >::InternalDataBase &fe_data, const internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &mapping_data, internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > &output_data) const
virtual const FiniteElement< dim, spacedim > & base_element(const unsigned int index) const override
virtual Tensor< 3, dim > shape_3rd_derivative(const unsigned int i, const Point< dim > &p) const override
virtual std::unique_ptr< typename FiniteElement< dim, spacedim >::InternalDataBase > get_subface_data(const UpdateFlags update_flags, const Mapping< dim, spacedim > &mapping, const Quadrature< dim - 1 > &quadrature, ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > &output_data) const override
virtual bool has_support_on_face(const unsigned int shape_index, const unsigned int face_index) const override
virtual void get_interpolation_matrix(const FiniteElement< dim, spacedim > &source, FullMatrix< double > &matrix) const override
FESystem(const std::vector< const FiniteElement< dim, spacedim > * > &fes, const std::vector< unsigned int > &multiplicities)
virtual Tensor< 2, dim > shape_grad_grad_component(const unsigned int i, const Point< dim > &p, const unsigned int component) const override
static const unsigned int invalid_face_number
Definition: fe_system.h:1193
virtual bool hp_constraints_are_implemented() const override
virtual const FiniteElement< dim, spacedim > & get_sub_fe(const unsigned int first_component, const unsigned int n_selected_components) const override
FESystem(const FiniteElement< dim, spacedim > &fe1, const unsigned int n1, const FiniteElement< dim, spacedim > &fe2, const unsigned int n2, const FiniteElement< dim, spacedim > &fe3, const unsigned int n3, const FiniteElement< dim, spacedim > &fe4, const unsigned int n4, const FiniteElement< dim, spacedim > &fe5, const unsigned int n5)
void build_interface_constraints()
virtual const FullMatrix< double > & get_restriction_matrix(const unsigned int child, const RefinementCase< dim > &refinement_case=RefinementCase< dim >::isotropic_refinement) const override
void initialize(const std::vector< const FiniteElement< dim, spacedim > * > &fes, const std::vector< unsigned int > &multiplicities)
virtual void fill_fe_subface_values(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const unsigned int sub_no, const Quadrature< dim - 1 > &quadrature, const Mapping< dim, spacedim > &mapping, const typename Mapping< dim, spacedim >::InternalDataBase &mapping_internal, const internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &mapping_data, const typename FiniteElement< dim, spacedim >::InternalDataBase &fe_internal, ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > &output_data) const override
virtual double shape_value_component(const unsigned int i, const Point< dim > &p, const unsigned int component) const override
virtual double shape_value(const unsigned int i, const Point< dim > &p) const override
FESystem(const FiniteElement< dim, spacedim > &fe1, const unsigned int n1, const FiniteElement< dim, spacedim > &fe2, const unsigned int n2, const FiniteElement< dim, spacedim > &fe3, const unsigned int n3, const FiniteElement< dim, spacedim > &fe4, const unsigned int n4)
virtual void get_subface_interpolation_matrix(const FiniteElement< dim, spacedim > &source, const unsigned int subface, FullMatrix< double > &matrix, const unsigned int face_no=0) const override
virtual void get_face_interpolation_matrix(const FiniteElement< dim, spacedim > &source, FullMatrix< double > &matrix, const unsigned int face_no=0) const override
FESystem(const FiniteElement< dim, spacedim > &fe, const unsigned int n_elements)
std::vector< std::vector< std::size_t > > generalized_support_points_index_table
Definition: fe_system.h:1234
virtual Tensor< 1, dim > shape_grad_component(const unsigned int i, const Point< dim > &p, const unsigned int component) const override
std::vector< std::pair< unsigned int, unsigned int > > hp_object_dof_identities(const FiniteElement< dim, spacedim > &fe_other, const unsigned int face_no=0) const
virtual std::unique_ptr< typename FiniteElement< dim, spacedim >::InternalDataBase > get_data(const UpdateFlags update_flags, const Mapping< dim, spacedim > &mapping, const Quadrature< dim > &quadrature, ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > &output_data) const override
virtual const FullMatrix< double > & get_prolongation_matrix(const unsigned int child, const RefinementCase< dim > &refinement_case=RefinementCase< dim >::isotropic_refinement) const override
FESystem(FESystem< dim, spacedim > &&other_fe_system) noexcept
Definition: fe_system.h:574
virtual std::size_t memory_consumption() const override
virtual ~FESystem() override=default
FESystem(const FiniteElement< dim, spacedim > &fe1, const unsigned int n1, const FiniteElement< dim, spacedim > &fe2, const unsigned int n2)
virtual std::unique_ptr< typename FiniteElement< dim, spacedim >::InternalDataBase > get_face_data(const UpdateFlags update_flags, const Mapping< dim, spacedim > &mapping, const hp::QCollection< dim - 1 > &quadrature, ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > &output_data) const override
virtual std::unique_ptr< FiniteElement< dim, spacedim > > clone() const =0
unsigned int n_base_elements() const
friend class InternalDataBase
Definition: fe.h:3061
Definition: point.h:112
Definition: vector.h:110
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:477
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:478
UpdateFlags
FiniteElementData< dim > multiply_dof_numbers(const std::vector< const FiniteElement< dim, spacedim > * > &fes, const std::vector< unsigned int > &multiplicities, const bool do_tensor_product=true)
std::vector< ComponentMask > compute_nonzero_components(const std::vector< const FiniteElement< dim, spacedim > * > &fes, const std::vector< unsigned int > &multiplicities, const bool do_tensor_product=true)
std::vector< bool > compute_restriction_is_additive_flags(const std::vector< const FiniteElement< dim, spacedim > * > &fes, const std::vector< unsigned int > &multiplicities)
@ matrix
Contents is actually a matrix.
constexpr ReturnType< rank, T >::value_type & extract(T &t, const ArrayType &indices)
static const unsigned int invalid_unsigned_int
Definition: types.h:213
unsigned int n_nonzero_components
Definition: fe_system.h:1068
unsigned int out_index
Definition: fe_system.h:1082
unsigned int in_index
Definition: fe_system.h:1075
typename enable_if_all< Values... >::type enable_if_all_t