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Reference documentation for deal.II version 9.1.0-pre
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Reference documentation for deal.II version 9.1.0-pre
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#include <deal.II/fe/mapping_q1.h>
Public Member Functions | |
| MappingQ1 () | |
| virtual std::unique_ptr< Mapping< dim, spacedim > > | clone () const override |
 Public Member Functions inherited from MappingQGeneric< dim, spacedim > | |
| MappingQGeneric (const unsigned int polynomial_degree) | |
| MappingQGeneric (const MappingQGeneric< dim, spacedim > &mapping) | |
| 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 |
| template<typename StreamType > | |
| void | list_subscribers (StreamType &stream) 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 |
Implementation of a \(d\)-linear mapping from the reference cell to a general quadrilateral/hexahedron.
The mapping implemented by this class maps the reference (unit) cell to a general grid cell with straight lines in \(d\) dimensions. (Note, however, that in 3D the faces of a general, trilinearly mapped cell may be curved, even if the edges are not). This is the standard mapping used for polyhedral domains. It is also the mapping used throughout deal.II for many functions that come in two variants, one that allows to pass a mapping argument explicitly and one that simply falls back to the MappingQ1 class declared here. (Or, in fact, to an object of kind MappingQGeneric(1), which implements exactly the functionality of this class.)
The shape functions for this mapping are the same as for the finite element FE_Q of polynomial degree 1. Therefore, coupling these two yields an isoparametric element.
Definition at line 57 of file mapping_q1.h.
Default constructor.
Definition at line 48 of file mapping_q1.cc.
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overridevirtual |
Return a pointer to a copy of the present object. The caller of this copy then assumes ownership of it.
The function is declared abstract virtual in this base class, and derived classes will have to implement it.
This function is mainly used by the hp::MappingCollection class.
Reimplemented from MappingQGeneric< dim, spacedim >.
Definition at line 56 of file mapping_q1.cc.
1.8.11
