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Reference documentation for deal.II version 8.4.2
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Reference documentation for deal.II version 8.4.2
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#include <deal.II/fe/mapping_q1.h>
Public Member Functions | |
| MappingQ1 () | |
| virtual MappingQ1< dim, spacedim > * | clone () const |
 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 |
| virtual Point< spacedim > | transform_unit_to_real_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< dim > &p) const |
| virtual Point< dim > | transform_real_to_unit_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< spacedim > &p) const |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| virtual UpdateFlags | requires_update_flags (const UpdateFlags update_flags) const |
| virtual InternalData * | get_data (const UpdateFlags, const Quadrature< dim > &quadrature) const |
| virtual InternalData * | get_face_data (const UpdateFlags flags, const Quadrature< dim-1 > &quadrature) const |
| virtual InternalData * | get_subface_data (const UpdateFlags flags, const Quadrature< dim-1 > &quadrature) const |
| 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::FEValues::MappingRelatedData< dim, spacedim > &output_data) const |
| 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::FEValues::MappingRelatedData< dim, spacedim > &output_data) const |
| 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::FEValues::MappingRelatedData< dim, spacedim > &output_data) const |
| Public Member Functions inherited from Mapping< dim, spacedim > | |
| virtual | ~Mapping () |
| virtual std_cxx11::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 |
| DeclException0 (ExcInvalidData) | |
| DeclExceptionMsg (ExcTransformationFailed, "Computing the mapping between a real space point and a point in reference " "space failed, typically because the given point lies outside the cell " "where the inverse mapping is not unique.") | |
| DeclException3 (ExcDistortedMappedCell, Point< spacedim >, double, int,<< "The image of the mapping applied to cell with center ["<< arg1<< "] is distorted. The cell geometry or the "<< "mapping are invalid, giving a non-positive volume "<< "fraction of "<< arg2<< " in quadrature point "<< arg3<< ".") | |
| Public Member Functions inherited from Subscriptor | |
| Subscriptor () | |
| Subscriptor (const Subscriptor &) | |
| virtual | ~Subscriptor () |
| Subscriptor & | operator= (const Subscriptor &) |
| void | subscribe (const char *identifier=0) const |
| void | unsubscribe (const char *identifier=0) const |
| unsigned int | n_subscriptions () const |
| void | list_subscribers () const |
| DeclException3 (ExcInUse, int, char *, std::string &,<< "Object of class "<< arg2<< " is still used by "<< arg1<< " other objects."<< "\"<< "(Additional information: "<< arg3<< ")\"<< "See the entry in the Frequently Asked Questions of "<< "deal.II (linked to from http://www.dealii.org/) for "<< "a lot more information on what this error means and "<< "how to fix programs in which it happens.") | |
| DeclException2 (ExcNoSubscriber, char *, char *,<< "No subscriber with identifier <"<< arg2<< "> subscribes to this object of class "<< arg1<< ". Consequently, it cannot be unsubscribed.") | |
| template<class Archive > | |
| void | serialize (Archive &ar, const unsigned int version) |
Additional Inherited Members | |
| 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_cxx11::unique_ptr< FE_Q< dim > > | fe_q |
| Table< 2, double > | support_point_weights_on_quad |
| Table< 2, double > | support_point_weights_on_hex |
Implementation of a 
-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 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 61 of file mapping_q1.h.
Default constructor.
Definition at line 44 of file mapping_q1.cc.
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virtual |
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 53 of file mapping_q1.cc.
1.8.12