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Reference documentation for deal.II version 8.5.1
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Reference documentation for deal.II version 8.5.1
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#include <deal.II/fe/fe_dg_vector.h>
Classes | |
| class | InternalData |
Public Member Functions | |
| FE_DGVector (const unsigned int p, MappingType m) | |
| FiniteElement< dim, spacedim > * | clone () const |
| virtual std::string | get_name () const |
| virtual bool | has_support_on_face (const unsigned int shape_index, const unsigned int face_index) const |
| virtual void | interpolate (std::vector< double > &local_dofs, const std::vector< double > &values) const 1 |
| virtual void | interpolate (std::vector< double > &local_dofs, const std::vector< Vector< double > > &values, const unsigned int offset=0) const 1 |
| virtual void | interpolate (std::vector< double > &local_dofs, const VectorSlice< const std::vector< std::vector< double > > > &values) const 1 |
| virtual std::size_t | memory_consumption () const |
 Public Member Functions inherited from FE_PolyTensor< PolynomialType, dim, spacedim > | |
| FE_PolyTensor (const unsigned int degree, const FiniteElementData< dim > &fe_data, const std::vector< bool > &restriction_is_additive_flags, const std::vector< ComponentMask > &nonzero_components) | |
| virtual UpdateFlags | requires_update_flags (const UpdateFlags update_flags) const |
| virtual double | shape_value (const unsigned int i, const Point< dim > &p) const |
| virtual double | shape_value_component (const unsigned int i, const Point< dim > &p, const unsigned int component) const |
| virtual Tensor< 1, dim > | shape_grad (const unsigned int i, const Point< dim > &p) const |
| virtual Tensor< 1, dim > | shape_grad_component (const unsigned int i, const Point< dim > &p, const unsigned int component) const |
| virtual Tensor< 2, dim > | shape_grad_grad (const unsigned int i, const Point< dim > &p) const |
| virtual Tensor< 2, dim > | shape_grad_grad_component (const unsigned int i, const Point< dim > &p, const unsigned int component) const |
| Public Member Functions inherited from FiniteElement< dim, spacedim > | |
| FiniteElement (const FiniteElementData< dim > &fe_data, const std::vector< bool > &restriction_is_additive_flags, const std::vector< ComponentMask > &nonzero_components) | |
| virtual | ~FiniteElement () |
| const FiniteElement< dim, spacedim > & | operator[] (const unsigned int fe_index) const |
| bool | operator== (const FiniteElement< dim, spacedim > &) const |
| virtual Tensor< 3, dim > | shape_3rd_derivative (const unsigned int i, const Point< dim > &p) const |
| virtual Tensor< 3, dim > | shape_3rd_derivative_component (const unsigned int i, const Point< dim > &p, const unsigned int component) const |
| virtual Tensor< 4, dim > | shape_4th_derivative (const unsigned int i, const Point< dim > &p) const |
| virtual Tensor< 4, dim > | shape_4th_derivative_component (const unsigned int i, const Point< dim > &p, const unsigned int component) const |
| virtual const FullMatrix< double > & | get_restriction_matrix (const unsigned int child, const RefinementCase< dim > &refinement_case=RefinementCase< dim >::isotropic_refinement) const |
| virtual const FullMatrix< double > & | get_prolongation_matrix (const unsigned int child, const RefinementCase< dim > &refinement_case=RefinementCase< dim >::isotropic_refinement) const |
| bool | prolongation_is_implemented () const |
| bool | isotropic_prolongation_is_implemented () const |
| bool | restriction_is_implemented () const |
| bool | isotropic_restriction_is_implemented () const |
| bool | restriction_is_additive (const unsigned int index) const |
| const FullMatrix< double > & | constraints (const ::internal::SubfaceCase< dim > &subface_case=::internal::SubfaceCase< dim >::case_isotropic) const |
| bool | constraints_are_implemented (const ::internal::SubfaceCase< dim > &subface_case=::internal::SubfaceCase< dim >::case_isotropic) const |
| virtual bool | hp_constraints_are_implemented () const |
| virtual void | get_interpolation_matrix (const FiniteElement< dim, spacedim > &source, FullMatrix< double > &matrix) const |
| virtual void | get_face_interpolation_matrix (const FiniteElement< dim, spacedim > &source, FullMatrix< double > &matrix) const |
| virtual void | get_subface_interpolation_matrix (const FiniteElement< dim, spacedim > &source, const unsigned int subface, FullMatrix< double > &matrix) const |
| virtual std::vector< std::pair< unsigned int, unsigned int > > | hp_vertex_dof_identities (const FiniteElement< dim, spacedim > &fe_other) const |
| virtual std::vector< std::pair< unsigned int, unsigned int > > | hp_line_dof_identities (const FiniteElement< dim, spacedim > &fe_other) const |
| virtual std::vector< std::pair< unsigned int, unsigned int > > | hp_quad_dof_identities (const FiniteElement< dim, spacedim > &fe_other) const |
| virtual FiniteElementDomination::Domination | compare_for_face_domination (const FiniteElement< dim, spacedim > &fe_other) const |
| std::pair< unsigned int, unsigned int > | system_to_component_index (const unsigned int index) const |
| unsigned int | component_to_system_index (const unsigned int component, const unsigned int index) const |
| std::pair< unsigned int, unsigned int > | face_system_to_component_index (const unsigned int index) const |
| unsigned int | adjust_quad_dof_index_for_face_orientation (const unsigned int index, const bool face_orientation, const bool face_flip, const bool face_rotation) const |
| 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 |
| unsigned int | adjust_line_dof_index_for_line_orientation (const unsigned int index, const bool line_orientation) const |
| const ComponentMask & | get_nonzero_components (const unsigned int i) const |
| unsigned int | n_nonzero_components (const unsigned int i) const |
| bool | is_primitive () const |
| bool | is_primitive (const unsigned int i) const |
| unsigned int | n_base_elements () const |
| virtual const FiniteElement< dim, spacedim > & | base_element (const unsigned int index) const |
| unsigned int | element_multiplicity (const unsigned int index) const |
| std::pair< std::pair< unsigned int, unsigned int >, unsigned int > | system_to_base_index (const unsigned int index) const |
| std::pair< std::pair< unsigned int, unsigned int >, unsigned int > | face_system_to_base_index (const unsigned int index) const |
| types::global_dof_index | first_block_of_base (const unsigned int b) const |
| std::pair< unsigned int, unsigned int > | component_to_base_index (const unsigned int component) const |
| std::pair< unsigned int, unsigned int > | block_to_base_index (const unsigned int block) const |
| std::pair< unsigned int, types::global_dof_index > | system_to_block_index (const unsigned int component) const |
| unsigned int | component_to_block_index (const unsigned int component) const |
| ComponentMask | component_mask (const FEValuesExtractors::Scalar &scalar) const |
| ComponentMask | component_mask (const FEValuesExtractors::Vector &vector) const |
| ComponentMask | component_mask (const FEValuesExtractors::SymmetricTensor< 2 > &sym_tensor) const |
| ComponentMask | component_mask (const BlockMask &block_mask) const |
| BlockMask | block_mask (const FEValuesExtractors::Scalar &scalar) const |
| BlockMask | block_mask (const FEValuesExtractors::Vector &vector) const |
| BlockMask | block_mask (const FEValuesExtractors::SymmetricTensor< 2 > &sym_tensor) const |
| BlockMask | block_mask (const ComponentMask &component_mask) const |
| virtual std::pair< Table< 2, bool >, std::vector< unsigned int > > | get_constant_modes () const |
| const std::vector< Point< dim > > & | get_unit_support_points () const |
| bool | has_support_points () const |
| virtual Point< dim > | unit_support_point (const unsigned int index) const |
| const std::vector< Point< dim-1 > > & | get_unit_face_support_points () const |
| bool | has_face_support_points () const |
| virtual Point< dim-1 > | unit_face_support_point (const unsigned int index) const |
| const std::vector< Point< dim > > & | get_generalized_support_points () const |
| bool | has_generalized_support_points () const |
| const std::vector< Point< dim-1 > > & | get_generalized_face_support_points () const |
| bool | has_generalized_face_support_points () const |
| GeometryPrimitive | get_associated_geometry_primitive (const unsigned int cell_dof_index) const |
| virtual void | convert_generalized_support_point_values_to_nodal_values (const std::vector< Vector< double > > &support_point_values, std::vector< double > &nodal_values) const |
| Public Member Functions inherited from Subscriptor | |
| Subscriptor () | |
| Subscriptor (const Subscriptor &) | |
| Subscriptor (Subscriptor &&) | |
| virtual | ~Subscriptor () |
| Subscriptor & | operator= (const Subscriptor &) |
| Subscriptor & | operator= (Subscriptor &&) |
| void | subscribe (const char *identifier=0) const |
| void | unsubscribe (const char *identifier=0) const |
| unsigned int | n_subscriptions () const |
| void | list_subscribers () const |
| template<class Archive > | |
| void | serialize (Archive &ar, const unsigned int version) |
| Public Member Functions inherited from FiniteElementData< dim > | |
| FiniteElementData (const std::vector< unsigned int > &dofs_per_object, const unsigned int n_components, const unsigned int degree, const Conformity conformity=unknown, const BlockIndices &block_indices=BlockIndices()) | |
| unsigned int | n_dofs_per_vertex () const |
| unsigned int | n_dofs_per_line () const |
| unsigned int | n_dofs_per_quad () const |
| unsigned int | n_dofs_per_hex () const |
| unsigned int | n_dofs_per_face () const |
| unsigned int | n_dofs_per_cell () const |
| template<int structdim> | |
| unsigned int | n_dofs_per_object () const |
| unsigned int | n_components () const |
| unsigned int | n_blocks () const |
| const BlockIndices & | block_indices () const |
| unsigned int | tensor_degree () const |
| bool | conforms (const Conformity) const |
| bool | operator== (const FiniteElementData &) const |
Private Member Functions | |
| void | initialize_support_points (const unsigned int degree) |
| void | initialize_restriction () |
Static Private Member Functions | |
| static std::vector< unsigned int > | get_dpo_vector (const unsigned int degree) |
Additional Inherited Members | |
| Public Types inherited from FiniteElementData< dim > | |
| enum | Conformity { unknown = 0x00, L2 = 0x01, Hcurl = 0x02, Hdiv = 0x04, H1 = Hcurl | Hdiv, H2 = 0x0e } |
| Static Public Member Functions inherited from FiniteElement< dim, spacedim > | |
| static ::ExceptionBase & | ExcShapeFunctionNotPrimitive (int arg1) |
| static ::ExceptionBase & | ExcFENotPrimitive () |
| static ::ExceptionBase & | ExcUnitShapeValuesDoNotExist () |
| static ::ExceptionBase & | ExcFEHasNoSupportPoints () |
| static ::ExceptionBase & | ExcEmbeddingVoid () |
| static ::ExceptionBase & | ExcProjectionVoid () |
| static ::ExceptionBase & | ExcWrongInterfaceMatrixSize (int arg1, int arg2) |
| static ::ExceptionBase & | ExcInterpolationNotImplemented () |
| Static Public Member Functions inherited from Subscriptor | |
| static ::ExceptionBase & | ExcInUse (int arg1, char *arg2, std::string &arg3) |
| static ::ExceptionBase & | ExcNoSubscriber (char *arg1, char *arg2) |
| Public Attributes inherited from FiniteElementData< dim > | |
| const unsigned int | dofs_per_vertex |
| const unsigned int | dofs_per_line |
| const unsigned int | dofs_per_quad |
| const unsigned int | dofs_per_hex |
| const unsigned int | first_line_index |
| const unsigned int | first_quad_index |
| const unsigned int | first_hex_index |
| const unsigned int | first_face_line_index |
| const unsigned int | first_face_quad_index |
| const unsigned int | dofs_per_face |
| const unsigned int | dofs_per_cell |
| const unsigned int | components |
| const unsigned int | degree |
| const Conformity | conforming_space |
| const BlockIndices | block_indices_data |
| Static Public Attributes inherited from FiniteElement< dim, spacedim > | |
| static const unsigned int | space_dimension = spacedim |
| Static Public Attributes inherited from FiniteElementData< dim > | |
| static const unsigned int | dimension = dim |
| Protected Member Functions inherited from FE_PolyTensor< PolynomialType, dim, spacedim > | |
| virtual FiniteElement< dim, spacedim >::InternalDataBase * | get_data (const UpdateFlags update_flags, const Mapping< dim, spacedim > &, const Quadrature< dim > &quadrature, ::internal::FEValues::FiniteElementRelatedData< dim, spacedim > &) const |
| Protected Member Functions inherited from FiniteElement< dim, spacedim > | |
| void | reinit_restriction_and_prolongation_matrices (const bool isotropic_restriction_only=false, const bool isotropic_prolongation_only=false) |
| TableIndices< 2 > | interface_constraints_size () const |
| virtual InternalDataBase * | get_face_data (const UpdateFlags update_flags, const Mapping< dim, spacedim > &mapping, const Quadrature< dim-1 > &quadrature, ::internal::FEValues::FiniteElementRelatedData< dim, spacedim > &output_data) const |
| virtual InternalDataBase * | get_subface_data (const UpdateFlags update_flags, const Mapping< dim, spacedim > &mapping, const Quadrature< dim-1 > &quadrature, ::internal::FEValues::FiniteElementRelatedData< dim, spacedim > &output_data) const |
| 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::FEValues::MappingRelatedData< dim, spacedim > &mapping_data, const InternalDataBase &fe_internal, ::internal::FEValues::FiniteElementRelatedData< dim, spacedim > &output_data) const =0 |
| 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 Mapping< dim, spacedim > &mapping, const typename Mapping< dim, spacedim >::InternalDataBase &mapping_internal, const ::internal::FEValues::MappingRelatedData< dim, spacedim > &mapping_data, const InternalDataBase &fe_internal, ::internal::FEValues::FiniteElementRelatedData< dim, spacedim > &output_data) const =0 |
| 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::FEValues::MappingRelatedData< dim, spacedim > &mapping_data, const InternalDataBase &fe_internal, ::internal::FEValues::FiniteElementRelatedData< dim, spacedim > &output_data) const =0 |
| Static Protected Member Functions inherited from FiniteElement< dim, spacedim > | |
| static std::vector< unsigned int > | compute_n_nonzero_components (const std::vector< ComponentMask > &nonzero_components) |
| Protected Attributes inherited from FE_PolyTensor< PolynomialType, dim, spacedim > | |
| MappingType | mapping_type |
| PolynomialType | poly_space |
| FullMatrix< double > | inverse_node_matrix |
| Threads::Mutex | cache_mutex |
| Point< dim > | cached_point |
| std::vector< Tensor< 1, dim > > | cached_values |
| std::vector< Tensor< 2, dim > > | cached_grads |
| std::vector< Tensor< 3, dim > > | cached_grad_grads |
| Protected Attributes inherited from FiniteElement< dim, spacedim > | |
| std::vector< std::vector< FullMatrix< double > > > | restriction |
| std::vector< std::vector< FullMatrix< double > > > | prolongation |
| FullMatrix< double > | interface_constraints |
| std::vector< Point< dim > > | unit_support_points |
| std::vector< Point< dim-1 > > | unit_face_support_points |
| std::vector< Point< dim > > | generalized_support_points |
| std::vector< Point< dim-1 > > | generalized_face_support_points |
| Table< 2, int > | adjust_quad_dof_index_for_face_orientation_table |
| std::vector< int > | adjust_line_dof_index_for_line_orientation_table |
| std::vector< std::pair< unsigned int, unsigned int > > | system_to_component_table |
| std::vector< std::pair< unsigned int, unsigned int > > | face_system_to_component_table |
| std::vector< std::pair< std::pair< unsigned int, unsigned int >, unsigned int > > | system_to_base_table |
| std::vector< std::pair< std::pair< unsigned int, unsigned int >, unsigned int > > | face_system_to_base_table |
| BlockIndices | base_to_block_indices |
| std::vector< std::pair< std::pair< unsigned int, unsigned int >, unsigned int > > | component_to_base_table |
| const std::vector< bool > | restriction_is_additive_flags |
| const std::vector< ComponentMask > | nonzero_components |
| const std::vector< unsigned int > | n_nonzero_components_table |
| const bool | cached_primitivity |
DG elements based on vector valued polynomials.
These elements use vector valued polynomial spaces as they have been introduced for Hdiv and Hcurl conforming finite elements, but do not use the usual continuity of these elements. Thus, they are suitable for DG and hybrid formulations involving these function spaces.
The template argument PolynomialType refers to a vector valued polynomial space like PolynomialsRaviartThomas or PolynomialsNedelec. Note that the dimension of the polynomial space and the argument dim must coincide.
Definition at line 53 of file fe_dg_vector.h.
| FE_DGVector< PolynomialType, dim, spacedim >::FE_DGVector | ( | const unsigned int | p, |
| MappingType | m | ||
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Constructor for the vector element of degree p.
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A sort of virtual copy constructor. Some places in the library, for example the constructors of FESystem as well as the hp::FECollection class, need to make copies of finite elements without knowing their exact type. They do so through this function.
Implements FiniteElement< dim, spacedim >.
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Return a string that uniquely identifies a finite element. This class returns FE_RaviartThomas<dim>(degree), with dim and degree replaced by appropriate values.
Implements FiniteElement< dim, spacedim >.
Reimplemented in FE_DGBDM< dim, spacedim >, FE_DGRaviartThomas< dim, spacedim >, and FE_DGNedelec< dim, spacedim >.
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This function returns true, if the shape function shape_index has non-zero function values somewhere on the face face_index.
For this element, we always return true.
Reimplemented from FiniteElement< dim, spacedim >.
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Interpolate a set of scalar values, computed in the generalized support points.
Reimplemented from FiniteElement< dim, spacedim >.
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Interpolate a set of vector values, computed in the generalized support points.
Since a finite element often only interpolates part of a vector, offset is used to determine the first component of the vector to be interpolated. Maybe consider changing your data structures to use the next function.
Reimplemented from FiniteElement< dim, spacedim >.
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Interpolate a set of vector values, computed in the generalized support points.
Reimplemented from FiniteElement< dim, spacedim >.
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Determine an estimate for the memory consumption (in bytes) of this object.
This function is made virtual, since finite element objects are usually accessed through pointers to their base class, rather than the class itself.
Reimplemented from FiniteElement< dim, spacedim >.
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Only for internal use. Its full name is get_dofs_per_object_vector function and it creates the dofs_per_object vector that is needed within the constructor to be passed to the constructor of FiniteElementData.
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Initialize the generalized_support_points field of the FiniteElement class and fill the tables with interior_weights. Called from the constructor.
See the glossary entry on generalized support points for more information.
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Initialize the interpolation from functions on refined mesh cells onto the father cell. According to the philosophy of the Raviart-Thomas element, this restriction operator preserves the divergence of a function weakly.
1.8.14