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Reference documentation for deal.II version 9.0.0
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Reference documentation for deal.II version 9.0.0
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#include <deal.II/fe/mapping_c1.h>
Public Member Functions | |
| MappingC1Generic () | |
| virtual void | add_line_support_points (const typename Triangulation< dim >::cell_iterator &cell, std::vector< Point< dim > > &a) const override |
| virtual void | add_quad_support_points (const typename Triangulation< dim >::cell_iterator &cell, std::vector< Point< dim > > &a) const override |
 Public Member Functions inherited from MappingQGeneric< dim, spacedim > | |
| MappingQGeneric (const unsigned int polynomial_degree) | |
| MappingQGeneric (const MappingQGeneric< dim, spacedim > &mapping) | |
| virtual std::unique_ptr< Mapping< dim, spacedim > > | clone () const override |
| unsigned int | get_degree () const |
| virtual bool | preserves_vertex_locations () const override |
| virtual Point< spacedim > | transform_unit_to_real_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< dim > &p) const override |
| virtual Point< dim > | transform_real_to_unit_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< spacedim > &p) const override |
| virtual void | transform (const ArrayView< const Tensor< 1, dim > > &input, const MappingType type, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 1, spacedim > > &output) const override |
| virtual void | transform (const ArrayView< const DerivativeForm< 1, dim, spacedim > > &input, const MappingType type, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 2, spacedim > > &output) const override |
| virtual void | transform (const ArrayView< const Tensor< 2, dim > > &input, const MappingType type, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 2, spacedim > > &output) const override |
| virtual void | transform (const ArrayView< const DerivativeForm< 2, dim, spacedim > > &input, const MappingType type, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 3, spacedim > > &output) const override |
| virtual void | transform (const ArrayView< const Tensor< 3, dim > > &input, const MappingType type, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 3, spacedim > > &output) const override |
| virtual UpdateFlags | requires_update_flags (const UpdateFlags update_flags) const override |
| virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > | get_data (const UpdateFlags, const Quadrature< dim > &quadrature) const override |
| virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > | get_face_data (const UpdateFlags flags, const Quadrature< dim-1 > &quadrature) const override |
| virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > | get_subface_data (const UpdateFlags flags, const Quadrature< dim-1 > &quadrature) const override |
| virtual CellSimilarity::Similarity | fill_fe_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const CellSimilarity::Similarity cell_similarity, const Quadrature< dim > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, ::internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override |
| virtual void | fill_fe_face_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const Quadrature< dim-1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, ::internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override |
| virtual void | fill_fe_subface_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const unsigned int subface_no, const Quadrature< dim-1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, ::internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override |
| Public Member Functions inherited from Mapping< dim, spacedim > | |
| virtual | ~Mapping () override=default |
| virtual std::array< Point< spacedim >, GeometryInfo< dim >::vertices_per_cell > | get_vertices (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const |
| Point< dim-1 > | project_real_point_to_unit_point_on_face (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int &face_no, const Point< spacedim > &p) const |
| Public Member Functions inherited from Subscriptor | |
| Subscriptor () | |
| Subscriptor (const Subscriptor &) | |
| Subscriptor (Subscriptor &&) noexcept | |
| virtual | ~Subscriptor () |
| Subscriptor & | operator= (const Subscriptor &) |
| Subscriptor & | operator= (Subscriptor &&) noexcept |
| void | subscribe (const char *identifier=nullptr) const |
| void | unsubscribe (const char *identifier=nullptr) const |
| unsigned int | n_subscriptions () const |
| void | list_subscribers () const |
| template<class Archive > | |
| void | serialize (Archive &ar, const unsigned int version) |
Additional Inherited Members | |
| Static Public Member Functions inherited from Mapping< dim, spacedim > | |
| static ::ExceptionBase & | ExcInvalidData () |
| static ::ExceptionBase & | ExcTransformationFailed () |
| static ::ExceptionBase & | ExcDistortedMappedCell (Point< spacedim > arg1, double arg2, int arg3) |
| Static Public Member Functions inherited from Subscriptor | |
| static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
| static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
| Protected Member Functions inherited from MappingQGeneric< dim, spacedim > | |
| virtual std::vector< Point< spacedim > > | compute_mapping_support_points (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const |
| Point< dim > | transform_real_to_unit_cell_internal (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< spacedim > &p, const Point< dim > &initial_p_unit) const |
| virtual void | add_line_support_points (const typename Triangulation< dim, spacedim >::cell_iterator &cell, std::vector< Point< spacedim > > &a) const |
| virtual void | add_quad_support_points (const typename Triangulation< dim, spacedim >::cell_iterator &cell, std::vector< Point< spacedim > > &a) const |
Interface with FEValues | |
| Protected Attributes inherited from MappingQGeneric< dim, spacedim > | |
| const unsigned int | polynomial_degree |
| const std::unique_ptr< FE_Q< dim > > | fe_q |
| std::vector< Table< 2, double > > | support_point_weights_perimeter_to_interior |
| Table< 2, double > | support_point_weights_cell |
A class derived from MappingQGeneric that provides the generic mapping with support points on boundary objects so that the corresponding Q3 mapping ends up being C1.
Definition at line 62 of file mapping_c1.h.
| MappingC1< dim, spacedim >::MappingC1Generic::MappingC1Generic | ( | ) |
Constructor.
Definition at line 31 of file mapping_c1.cc.
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overridevirtual |
For dim=2,3. Append the support points of all shape functions located on bounding lines to the vector a. Points located on the line but on vertices are not included.
This function chooses the respective points not such that they are interpolating the boundary (as does the base class), but rather such that the resulting cubic mapping is a continuous one.
Definition at line 172 of file mapping_c1.cc.
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overridevirtual |
For dim=3. Append the support points of all shape functions located on bounding faces (quads in 3d) to the vector a. Points located on the line but on vertices are not included.
This function chooses the respective points not such that they are interpolating the boundary (as does the base class), but rather such that the resulting cubic mapping is a continuous one.
Definition at line 206 of file mapping_c1.cc.
1.8.14