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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/fe_values.h>
Public Member Functions | |
| FEFaceValues (const Mapping< dim, spacedim > &mapping, const FiniteElement< dim, spacedim > &fe, const Quadrature< dim-1 > &quadrature, const UpdateFlags update_flags) | |
| FEFaceValues (const FiniteElement< dim, spacedim > &fe, const Quadrature< dim-1 > &quadrature, const UpdateFlags update_flags) | |
| template<template< int, int > class DoFHandlerType, bool level_dof_access> | |
| void | reinit (const TriaIterator< DoFCellAccessor< DoFHandlerType< dim, spacedim >, level_dof_access > > &cell, const unsigned int face_no) |
| void | reinit (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no) |
| const FEFaceValues< dim, spacedim > & | get_present_fe_values () const |
 Public Member Functions inherited from FEFaceValuesBase< dim, spacedim > | |
| FEFaceValuesBase (const unsigned int n_q_points, const unsigned int dofs_per_cell, const UpdateFlags update_flags, const Mapping< dim, spacedim > &mapping, const FiniteElement< dim, spacedim > &fe, const Quadrature< dim-1 > &quadrature) | |
| const Tensor< 1, spacedim > & | boundary_form (const unsigned int i) const |
| const std::vector< Tensor< 1, spacedim > > & | get_boundary_forms () const |
| unsigned int | get_face_index () const |
| const Quadrature< dim-1 > & | get_quadrature () const |
| std::size_t | memory_consumption () const |
| Public Member Functions inherited from FEValuesBase< dim, spacedim > | |
| FEValuesBase (const unsigned int n_q_points, const unsigned int dofs_per_cell, const UpdateFlags update_flags, const Mapping< dim, spacedim > &mapping, const FiniteElement< dim, spacedim > &fe) | |
| ~FEValuesBase () | |
| const double & | shape_value (const unsigned int function_no, const unsigned int point_no) const |
| double | shape_value_component (const unsigned int function_no, const unsigned int point_no, const unsigned int component) const |
| const Tensor< 1, spacedim > & | shape_grad (const unsigned int function_no, const unsigned int quadrature_point) const |
| Tensor< 1, spacedim > | shape_grad_component (const unsigned int function_no, const unsigned int point_no, const unsigned int component) const |
| const Tensor< 2, spacedim > & | shape_hessian (const unsigned int function_no, const unsigned int point_no) const |
| Tensor< 2, spacedim > | shape_hessian_component (const unsigned int function_no, const unsigned int point_no, const unsigned int component) const |
| const Tensor< 3, spacedim > & | shape_3rd_derivative (const unsigned int function_no, const unsigned int point_no) const |
| Tensor< 3, spacedim > | shape_3rd_derivative_component (const unsigned int function_no, const unsigned int point_no, const unsigned int component) const |
| template<class InputVector > | |
| void | get_function_values (const InputVector &fe_function, std::vector< typename InputVector::value_type > &values) const |
| template<class InputVector > | |
| void | get_function_values (const InputVector &fe_function, std::vector< Vector< typename InputVector::value_type > > &values) const |
| template<class InputVector > | |
| void | get_function_values (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, std::vector< typename InputVector::value_type > &values) const |
| template<class InputVector > | |
| void | get_function_values (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, std::vector< Vector< typename InputVector::value_type > > &values) const |
| template<class InputVector > | |
| void | get_function_values (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, VectorSlice< std::vector< std::vector< typename InputVector::value_type > > > values, const bool quadrature_points_fastest) const |
| template<class InputVector > | |
| void | get_function_gradients (const InputVector &fe_function, std::vector< Tensor< 1, spacedim, typename InputVector::value_type > > &gradients) const |
| template<class InputVector > | |
| void | get_function_gradients (const InputVector &fe_function, std::vector< std::vector< Tensor< 1, spacedim, typename InputVector::value_type > > > &gradients) const |
| template<class InputVector > | |
| void | get_function_gradients (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, std::vector< Tensor< 1, spacedim, typename InputVector::value_type > > &gradients) const |
| template<class InputVector > | |
| void | get_function_gradients (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, VectorSlice< std::vector< std::vector< Tensor< 1, spacedim, typename InputVector::value_type > > > > gradients, bool quadrature_points_fastest=false) const |
| template<class InputVector > | |
| void | get_function_hessians (const InputVector &fe_function, std::vector< Tensor< 2, spacedim, typename InputVector::value_type > > &hessians) const |
| template<class InputVector > | |
| void | get_function_hessians (const InputVector &fe_function, std::vector< std::vector< Tensor< 2, spacedim, typename InputVector::value_type > > > &hessians, bool quadrature_points_fastest=false) const |
| template<class InputVector > | |
| void | get_function_hessians (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, std::vector< Tensor< 2, spacedim, typename InputVector::value_type > > &hessians) const |
| template<class InputVector > | |
| void | get_function_hessians (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, VectorSlice< std::vector< std::vector< Tensor< 2, spacedim, typename InputVector::value_type > > > > hessians, bool quadrature_points_fastest=false) const |
| template<class InputVector > | |
| void | get_function_laplacians (const InputVector &fe_function, std::vector< typename InputVector::value_type > &laplacians) const |
| template<class InputVector > | |
| void | get_function_laplacians (const InputVector &fe_function, std::vector< Vector< typename InputVector::value_type > > &laplacians) const |
| template<class InputVector > | |
| void | get_function_laplacians (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, std::vector< typename InputVector::value_type > &laplacians) const |
| template<class InputVector > | |
| void | get_function_laplacians (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, std::vector< Vector< typename InputVector::value_type > > &laplacians) const |
| template<class InputVector > | |
| void | get_function_laplacians (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, std::vector< std::vector< typename InputVector::value_type > > &laplacians, bool quadrature_points_fastest=false) const |
| template<class InputVector > | |
| void | get_function_third_derivatives (const InputVector &fe_function, std::vector< Tensor< 3, spacedim, typename InputVector::value_type > > &third_derivatives) const |
| template<class InputVector > | |
| void | get_function_third_derivatives (const InputVector &fe_function, std::vector< std::vector< Tensor< 3, spacedim, typename InputVector::value_type > > > &third_derivatives, bool quadrature_points_fastest=false) const |
| template<class InputVector > | |
| void | get_function_third_derivatives (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, std::vector< Tensor< 3, spacedim, typename InputVector::value_type > > &third_derivatives) const |
| template<class InputVector > | |
| void | get_function_third_derivatives (const InputVector &fe_function, const VectorSlice< const std::vector< types::global_dof_index > > &indices, VectorSlice< std::vector< std::vector< Tensor< 3, spacedim, typename InputVector::value_type > > > > third_derivatives, bool quadrature_points_fastest=false) const |
| const Point< spacedim > & | quadrature_point (const unsigned int q) const |
| const std::vector< Point< spacedim > > & | get_quadrature_points () const |
| double | JxW (const unsigned int quadrature_point) const |
| const std::vector< double > & | get_JxW_values () const |
| const DerivativeForm< 1, dim, spacedim > & | jacobian (const unsigned int quadrature_point) const |
| const std::vector< DerivativeForm< 1, dim, spacedim > > & | get_jacobians () const |
| const DerivativeForm< 2, dim, spacedim > & | jacobian_grad (const unsigned int quadrature_point) const |
| const std::vector< DerivativeForm< 2, dim, spacedim > > & | get_jacobian_grads () const |
| const Tensor< 3, spacedim > & | jacobian_pushed_forward_grad (const unsigned int quadrature_point) const |
| const std::vector< Tensor< 3, spacedim > > & | get_jacobian_pushed_forward_grads () const |
| const DerivativeForm< 3, dim, spacedim > & | jacobian_2nd_derivative (const unsigned int quadrature_point) const |
| const std::vector< DerivativeForm< 3, dim, spacedim > > & | get_jacobian_2nd_derivatives () const |
| const Tensor< 4, spacedim > & | jacobian_pushed_forward_2nd_derivative (const unsigned int quadrature_point) const |
| const std::vector< Tensor< 4, spacedim > > & | get_jacobian_pushed_forward_2nd_derivatives () const |
| const DerivativeForm< 4, dim, spacedim > & | jacobian_3rd_derivative (const unsigned int quadrature_point) const |
| const std::vector< DerivativeForm< 4, dim, spacedim > > & | get_jacobian_3rd_derivatives () const |
| const Tensor< 5, spacedim > & | jacobian_pushed_forward_3rd_derivative (const unsigned int quadrature_point) const |
| const std::vector< Tensor< 5, spacedim > > & | get_jacobian_pushed_forward_3rd_derivatives () const |
| const DerivativeForm< 1, spacedim, dim > & | inverse_jacobian (const unsigned int quadrature_point) const |
| const std::vector< DerivativeForm< 1, spacedim, dim > > & | get_inverse_jacobians () const |
| const Tensor< 1, spacedim > & | normal_vector (const unsigned int i) const |
| const std::vector< Tensor< 1, spacedim > > & | get_all_normal_vectors () const |
| const std::vector< Tensor< 1, spacedim > > & | get_normal_vectors () const |
| const FEValuesViews::Scalar< dim, spacedim > & | operator[] (const FEValuesExtractors::Scalar &scalar) const |
| const FEValuesViews::Vector< dim, spacedim > & | operator[] (const FEValuesExtractors::Vector &vector) const |
| const FEValuesViews::SymmetricTensor< 2, dim, spacedim > & | operator[] (const FEValuesExtractors::SymmetricTensor< 2 > &tensor) const |
| const FEValuesViews::Tensor< 2, dim, spacedim > & | operator[] (const FEValuesExtractors::Tensor< 2 > &tensor) const |
| const Mapping< dim, spacedim > & | get_mapping () const |
| const FiniteElement< dim, spacedim > & | get_fe () const |
| UpdateFlags | get_update_flags () const |
| const Triangulation< dim, spacedim >::cell_iterator | get_cell () const |
| CellSimilarity::Similarity | get_cell_similarity () const |
| std::size_t | memory_consumption () 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) |
Static Public Attributes | |
| static const unsigned int | dimension = dim |
| static const unsigned int | integral_dimension = dim-1 |
| Static Public Attributes inherited from FEFaceValuesBase< dim, spacedim > | |
| static const unsigned int | integral_dimension = dim-1 |
| Static Public Attributes inherited from FEValuesBase< dim, spacedim > | |
| static const unsigned int | dimension = dim |
| static const unsigned int | space_dimension = spacedim |
Private Member Functions | |
| void | initialize (const UpdateFlags update_flags) |
| void | do_reinit (const unsigned int face_no) |
Additional Inherited Members | |
| Static Public Member Functions inherited from FEValuesBase< dim, spacedim > | |
| static ::ExceptionBase & | ExcAccessToUninitializedField (char *arg1) |
| static ::ExceptionBase & | ExcFEDontMatch () |
| static ::ExceptionBase & | ExcShapeFunctionNotPrimitive (int arg1) |
| static ::ExceptionBase & | ExcFENotPrimitive () |
| 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) |
| Public Attributes inherited from FEValuesBase< dim, spacedim > | |
| const unsigned int | n_quadrature_points |
| const unsigned int | dofs_per_cell |
| Protected Member Functions inherited from FEValuesBase< dim, spacedim > | |
| void | invalidate_present_cell () |
| void | maybe_invalidate_previous_present_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell) |
| UpdateFlags | compute_update_flags (const UpdateFlags update_flags) const |
| void | check_cell_similarity (const typename Triangulation< dim, spacedim >::cell_iterator &cell) |
| Protected Attributes inherited from FEFaceValuesBase< dim, spacedim > | |
| unsigned int | present_face_index |
| const Quadrature< dim-1 > | quadrature |
| Protected Attributes inherited from FEValuesBase< dim, spacedim > | |
| std::unique_ptr< const CellIteratorBase > | present_cell |
| boost::signals2::connection | tria_listener_refinement |
| boost::signals2::connection | tria_listener_mesh_transform |
| const SmartPointer< const Mapping< dim, spacedim >, FEValuesBase< dim, spacedim > > | mapping |
| std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > | mapping_data |
| ::internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > | mapping_output |
| const SmartPointer< const FiniteElement< dim, spacedim >, FEValuesBase< dim, spacedim > > | fe |
| std::unique_ptr< typename FiniteElement< dim, spacedim >::InternalDataBase > | fe_data |
| ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > | finite_element_output |
| UpdateFlags | update_flags |
| CellSimilarity::Similarity | cell_similarity |
Finite element evaluated in quadrature points on a face.
This class adds the functionality of FEFaceValuesBase to FEValues; see there for more documentation.
Since finite element functions and their derivatives may be discontinuous at cell boundaries, there is no restriction of this function to a mesh face. But, there are limits of these values approaching the face from either of the neighboring cells.
| FEFaceValues< dim, spacedim >::FEFaceValues | ( | const Mapping< dim, spacedim > & | mapping, |
| const FiniteElement< dim, spacedim > & | fe, | ||
| const Quadrature< dim-1 > & | quadrature, | ||
| const UpdateFlags | update_flags | ||
| ) |
Constructor. Gets cell independent data from mapping and finite element objects, matching the quadrature rule and update flags.
Definition at line 4227 of file fe_values.cc.
| FEFaceValues< dim, spacedim >::FEFaceValues | ( | const FiniteElement< dim, spacedim > & | fe, |
| const Quadrature< dim-1 > & | quadrature, | ||
| const UpdateFlags | update_flags | ||
| ) |
Constructor. This constructor is equivalent to the other one except that it makes the object use a \(Q_1\) mapping (i.e., an object of type MappingQGeneric(1)) implicitly.
Definition at line 4244 of file fe_values.cc.
| void FEFaceValues< dim, spacedim >::reinit | ( | const TriaIterator< DoFCellAccessor< DoFHandlerType< dim, spacedim >, lda > > & | cell, |
| const unsigned int | face_no | ||
| ) |
Reinitialize the gradients, Jacobi determinants, etc for the face with number face_no of cell and the given finite element.
Definition at line 4303 of file fe_values.cc.
| void FEFaceValues< dim, spacedim >::reinit | ( | const typename Triangulation< dim, spacedim >::cell_iterator & | cell, |
| const unsigned int | face_no | ||
| ) |
Reinitialize the gradients, Jacobi determinants, etc for the given face on given cell of type "iterator into a Triangulation object", and the given finite element. Since iterators into triangulation alone only convey information about the geometry of a cell, but not about degrees of freedom possibly associated with this cell, you will not be able to call some functions of this class if they need information about degrees of freedom. These functions are, above all, the get_function_value/gradients/hessians/third_derivatives functions. If you want to call these functions, you have to call the reinit variants that take iterators into DoFHandler or other DoF handler type objects.
Definition at line 4331 of file fe_values.cc.
| const FEFaceValues<dim,spacedim>& FEFaceValues< dim, spacedim >::get_present_fe_values | ( | ) | const |
Return a reference to this very object.
Though it seems that it is not very useful, this function is there to provide capability to the hp::FEValues class, in which case it provides the FEValues object for the present cell (remember that for hp finite elements, the actual FE object used may change from cell to cell, so we also need different FEValues objects for different cells; once you reinitialize the hp::FEValues object for a specific cell, it retrieves the FEValues object for the FE on that cell and returns it through a function of the same name as this one; this function here therefore only provides the same interface so that one can templatize on FEValues and hp::FEValues).
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Do work common to the two constructors.
Definition at line 4261 of file fe_values.cc.
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The reinit() functions do only that part of the work that requires knowledge of the type of iterator. After setting present_cell(), they pass on to this function, which does the real work, and which is independent of the actual type of the cell iterator.
Definition at line 4350 of file fe_values.cc.
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Dimension in which this object operates.
Definition at line 3352 of file fe_values.h.
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Dimension of the object over which we integrate. For the present class, this is equal to dim-1.
Definition at line 3360 of file fe_values.h.
1.8.14