#include <deal.II/fe/fe_values.h>

Inheritance diagram for FEValues< dim, spacedim >:

Public Member Functions
	FEValues (const Mapping< dim, spacedim > &mapping, const FiniteElement< dim, spacedim > &fe, const Quadrature< dim > &quadrature, const UpdateFlags update_flags)

	FEValues (const FiniteElement< dim, spacedim > &fe, const Quadrature< dim > &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)

void	reinit (const typename Triangulation< dim, spacedim >::cell_iterator &cell)

const Quadrature< dim > &	get_quadrature () const

std::size_t	memory_consumption () const

const FEValues< dim, spacedim > &	get_present_fe_values () 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	integral_dimension = dim

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 ()

Private Attributes
const Quadrature< dim >	quadrature

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 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

Detailed Description

template<int dim, int spacedim = dim>
class FEValues< dim, spacedim >

Finite element evaluated in quadrature points of a cell.

This function implements the initialization routines for FEValuesBase, if values in quadrature points of a cell are needed. For further documentation see this class.

Author: Wolfgang Bangerth, 1998, Guido Kanschat, 2001

Definition at line 33 of file fe.h.

Constructor & Destructor Documentation

◆ FEValues() [1/2]

template<int dim, int spacedim>

FEValues< dim, spacedim >::FEValues	(	const Mapping< dim, spacedim > &	mapping,
		const FiniteElement< dim, spacedim > &	fe,
		const Quadrature< dim > &	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 3966 of file fe_values.cc.

◆ FEValues() [2/2]

template<int dim, int spacedim>

FEValues< dim, spacedim >::FEValues	(	const FiniteElement< dim, spacedim > &	fe,
		const Quadrature< dim > &	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 3984 of file fe_values.cc.

Member Function Documentation

◆ reinit() [1/2]

template<int dim, int spacedim>

template<template< int, int > class DoFHandlerType, bool lda>

void FEValues< dim, spacedim >::reinit ( const TriaIterator< DoFCellAccessor< DoFHandlerType< dim, spacedim >, lda > > & cell )

Reinitialize the gradients, Jacobi determinants, etc for the given cell of type "iterator into a DoFHandler object", and the finite element associated with this object. It is assumed that the finite element used by the given cell is also the one used by this FEValues object.

Definition at line 4106 of file fe_values.cc.

◆ reinit() [2/2]

template<int dim, int spacedim>

void FEValues< dim, spacedim >::reinit ( const typename Triangulation< dim, spacedim >::cell_iterator & cell )

Reinitialize the gradients, Jacobi determinants, etc for the 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/laplacians/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 4084 of file fe_values.cc.

◆ get_quadrature()

template<int dim, int spacedim = dim>

const Quadrature<dim>& FEValues< dim, spacedim >::get_quadrature ( ) const

Return a reference to the copy of the quadrature formula stored by this object.

◆ memory_consumption()

template<int dim, int spacedim>

std::size_t FEValues< dim, spacedim >::memory_consumption ( ) const

Determine an estimate for the memory consumption (in bytes) of this object.

Definition at line 4165 of file fe_values.cc.

◆ get_present_fe_values()

template<int dim, int spacedim = dim>

const FEValues<dim,spacedim>& FEValues< 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).

◆ initialize()

template<int dim, int spacedim>

void FEValues< dim, spacedim >::initialize ( const UpdateFlags update_flags )

private

Do work common to the two constructors.

Definition at line 4002 of file fe_values.cc.

◆ do_reinit()

template<int dim, int spacedim>

void FEValues< dim, spacedim >::do_reinit ( )

private

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 4131 of file fe_values.cc.

Member Data Documentation

◆ integral_dimension

template<int dim, int spacedim = dim>

const unsigned int FEValues< dim, spacedim >::integral_dimension = dim

static

Dimension of the object over which we integrate. For the present class, this is equal to dim.

Definition at line 3148 of file fe_values.h.

◆ quadrature

template<int dim, int spacedim = dim>

const Quadrature<dim> FEValues< dim, spacedim >::quadrature

private

Store a copy of the quadrature formula here.

Definition at line 3224 of file fe_values.h.

The documentation for this class was generated from the following files:

deal.II/fe/fe.h
deal.II/fe/fe_values.h
source/fe/fe_values.cc

Public Member Functions

Static Public Attributes

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<int dim, int spacedim = dim> class FEValues< dim, spacedim >

Constructor & Destructor Documentation

◆ FEValues() [1/2]

◆ FEValues() [2/2]

Member Function Documentation

◆ reinit() [1/2]

◆ reinit() [2/2]

◆ get_quadrature()

◆ memory_consumption()

◆ get_present_fe_values()

◆ initialize()

◆ do_reinit()

Member Data Documentation

◆ integral_dimension

◆ quadrature

template<int dim, int spacedim = dim>
class FEValues< dim, spacedim >