Evaluation of the tensor-product space-time basis functions. More...

#include <spacetime_fe_values.hh>

Public Member Functions
	FEValues (DG_FiniteElement< dim > &fe, Quadrature< dim > &quad, const dealii::UpdateFlags uflags)
	Constructor of the FEValues class. More...

void	reinit_space (const typename dealii::TriaIterator< dealii::DoFCellAccessor< dim, dim, false >> &cell_space)
	Reinitialize all objects of the underlying spatial FEValues object. This function calls reinit(cell_space) of the spatial FEValues object. More...

void	reinit_time (const typename dealii::TriaIterator< dealii::DoFCellAccessor< 1, 1, false >> &cell_time)
	Reinitialize all objects of the underlying temporal FEValues object. This function calls reinit(cell_time) of the temporal FEValues object. More...

double	shape_value (unsigned int function_no, unsigned int point_no)
	Value of the space-time shape function at spacetime-quadrature point. More...

double	shape_dt (unsigned int function_no, unsigned int point_no)
	Temporal derivative of the space-time shape function at spacetime-quadrature point. More...

dealii::Tensor< 1, dim >	shape_space_grad (unsigned int function_no, unsigned int point_no)
	Spatial derivative of the space-time shape function at spacetime-quadrature point. More...

template<class InputVector >
void	get_function_values (const InputVector &fe_function, std::vector< dealii::Vector< typename InputVector::value_type >> &values) const
	Function values of a given vector at all quadrature points @in fe_function @out values.

template<class InputVector >
void	get_function_dt (const InputVector &fe_function, std::vector< dealii::Vector< typename InputVector::value_type >> &values) const
	Function values of a given vector at all quadrature points @in fe_function @out values.

template<class InputVector >
void	get_function_space_gradients (const InputVector &fe_function, std::vector< std::vector< dealii::Tensor< 1, dim, typename InputVector::value_type >>> &gradients) const
	Spatial function gradients of a given vector at all quadrature points @in fe_function @out values.

dealii::FEValuesViews::Scalar< dim >::value_type	scalar_value (const typename dealii::FEValuesExtractors::Scalar &extractor, unsigned int function_no, unsigned int point_no)
	Value of the space-time shape function of a scalar finite element component. More...

dealii::FEValuesViews::Scalar< dim >::value_type	scalar_dt (const typename dealii::FEValuesExtractors::Scalar &extractor, unsigned int function_no, unsigned int point_no)
	Temporal derivative of the space-time shape function of a scalar finite element component. More...

dealii::FEValuesViews::Scalar< dim >::gradient_type	scalar_space_grad (const typename dealii::FEValuesExtractors::Scalar &extractor, unsigned int function_no, unsigned int point_no)
	Spatial derivative of the space-time shape function of a scalar finite element component. More...

dealii::FEValuesViews::Vector< dim >::value_type	vector_value (const typename dealii::FEValuesExtractors::Vector &extractor, unsigned int function_no, unsigned int point_no)
	Value of the space-time shape function of a vector-valued finite element component. More...

dealii::FEValuesViews::Vector< dim >::value_type	vector_dt (const typename dealii::FEValuesExtractors::Vector &extractor, unsigned int function_no, unsigned int point_no)
	Temporal derivative of the space-time shape function of a vector-valued finite element component. More...

dealii::FEValuesViews::Vector< dim >::divergence_type	vector_divergence (const typename dealii::FEValuesExtractors::Vector &extractor, unsigned int function_no, unsigned int point_no)
	Spatial divergence of the space-time shape function of a vector-valued finite element component. More...

dealii::FEValuesViews::Vector< dim >::gradient_type	vector_space_grad (const typename dealii::FEValuesExtractors::Vector &extractor, unsigned int function_no, unsigned int point_no)
	Spatial gradient of the space-time shape function of a vector-valued finite element component. More...

dealii::FEValuesViews::Vector< dim >::curl_type	vector_space_curl (const typename dealii::FEValuesExtractors::Vector &extractor, unsigned int function_no, unsigned int point_no)
	Spatial curl of the space-time shape function of a vector-valued finite element component. More...

double	time_quadrature_point (unsigned int quadrature_point)
	Get the temporal quadrature point of the given space-time quadrature index. More...

dealii::Point< dim >	space_quadrature_point (unsigned int quadrature_point)
	Get the spatial quadrature point of the given space-time quadrature index. More...

double	JxW (const unsigned int quadrature_point)
	Mapped space-time quadrature weight. More...

void	get_local_dof_indices (std::vector< dealii::types::global_dof_index > &indices)
	Local space-time DoF indices of the current space-time element. More...

std::shared_ptr< dealii::FEValues< dim > >	spatial ()
	The underlying spatial FEValues object. More...

std::shared_ptr< dealii::FEValues< 1 > >	temporal ()
	The underlying temporal FEValues object. More...

Public Attributes
unsigned int	n_quadrature_points
	Number of space-time quadrature points per element.

Detailed Description

template<int dim>
class idealii::spacetime::FEValues< dim >

Evaluation of the tensor-product space-time basis functions.

This class supplies common derivatives of the space-time basis functions by multiplying the corresponding spatial and temporal basis functions in the given quadrature points.

In practice spatial derivatives are handled by the underlying spatial dealii::FEValues object and temporal derivatives are handled by the underlying temporal dealii::FEValues.

Constructor & Destructor Documentation

◆ FEValues()

template<int dim>

idealii::spacetime::FEValues< dim >::FEValues	(	DG_FiniteElement< dim > &	fe,
		Quadrature< dim > &	quad,
		const dealii::UpdateFlags	uflags
	)

Constructor of the FEValues class.

Parameters

fe	The underlying space-time finite element description class.
quad	The space-time quadrature formula to be used.
uflags	The update flags to be used during the reinit calls.

Member Function Documentation

◆ get_local_dof_indices()

template<int dim>

void idealii::spacetime::FEValues< dim >::get_local_dof_indices ( std::vector< dealii::types::global_dof_index > & indices )

Local space-time DoF indices of the current space-time element.

Parameters

A	vector of indices to save the result to.

◆ JxW()

template<int dim>

double idealii::spacetime::FEValues< dim >::JxW ( const unsigned int quadrature_point )

Mapped space-time quadrature weight.

Parameters

quadrature_point space-time quadrature index.

◆ reinit_space()

template<int dim>

void idealii::spacetime::FEValues< dim >::reinit_space ( const typename dealii::TriaIterator< dealii::DoFCellAccessor< dim, dim, false >> & cell_space )

Reinitialize all objects of the underlying spatial FEValues object. This function calls reinit(cell_space) of the spatial FEValues object.

Parameters

cell_space Iterator pointing to the current element in space.

◆ reinit_time()

template<int dim>

void idealii::spacetime::FEValues< dim >::reinit_time ( const typename dealii::TriaIterator< dealii::DoFCellAccessor< 1, 1, false >> & cell_time )

Reinitialize all objects of the underlying temporal FEValues object. This function calls reinit(cell_time) of the temporal FEValues object.

Parameters

cell_time Iterator pointing to the current element in time.

◆ scalar_dt()

template<int dim>

dealii::FEValuesViews::Scalar<dim>::value_type idealii::spacetime::FEValues< dim >::scalar_dt	(	const typename dealii::FEValuesExtractors::Scalar &	extractor,
		unsigned int	function_no,
		unsigned int	point_no
	)

Temporal derivative of the space-time shape function of a scalar finite element component.

This function passes the extractor to the underlying spatial FEValues object and then calls the value function of the resulting view.

Parameters

extractor	Scalar extractor defining the scalar finite element component to be evaluated.
function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

◆ scalar_space_grad()

template<int dim>

dealii::FEValuesViews::Scalar<dim>::gradient_type idealii::spacetime::FEValues< dim >::scalar_space_grad	(	const typename dealii::FEValuesExtractors::Scalar &	extractor,
		unsigned int	function_no,
		unsigned int	point_no
	)

Spatial derivative of the space-time shape function of a scalar finite element component.

This function passes the extractor to the underlying spatial FEValues object and then calls the gradient function of the resulting view.

Parameters

extractor	Scalar extractor defining the scalar finite element component to be evaluated.
function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

◆ scalar_value()

template<int dim>

dealii::FEValuesViews::Scalar<dim>::value_type idealii::spacetime::FEValues< dim >::scalar_value	(	const typename dealii::FEValuesExtractors::Scalar &	extractor,
		unsigned int	function_no,
		unsigned int	point_no
	)

Value of the space-time shape function of a scalar finite element component.

This function passes the extractor to the underlying spatial FEValues object and then calls the value function of the resulting view.

Parameters

extractor	Scalar extractor defining the scalar finite element component to be evaluated.
function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

◆ shape_dt()

template<int dim>

double idealii::spacetime::FEValues< dim >::shape_dt	(	unsigned int	function_no,
		unsigned int	point_no
	)

Temporal derivative of the space-time shape function at spacetime-quadrature point.

Parameters

function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

◆ shape_space_grad()

template<int dim>

dealii::Tensor<1, dim> idealii::spacetime::FEValues< dim >::shape_space_grad	(	unsigned int	function_no,
		unsigned int	point_no
	)

Spatial derivative of the space-time shape function at spacetime-quadrature point.

Parameters

function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

◆ shape_value()

template<int dim>

double idealii::spacetime::FEValues< dim >::shape_value	(	unsigned int	function_no,
		unsigned int	point_no
	)

Value of the space-time shape function at spacetime-quadrature point.

Parameters

function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

◆ space_quadrature_point()

template<int dim>

dealii::Point<dim> idealii::spacetime::FEValues< dim >::space_quadrature_point ( unsigned int quadrature_point )

Get the spatial quadrature point of the given space-time quadrature index.

Parameters

quadrature_point space-time quadrature index.

◆ spatial()

template<int dim>

std::shared_ptr<dealii::FEValues<dim> > idealii::spacetime::FEValues< dim >::spatial ( )

The underlying spatial FEValues object.

Returns: A shared pointer to the spatial FEValues object.

◆ temporal()

template<int dim>

std::shared_ptr<dealii::FEValues<1> > idealii::spacetime::FEValues< dim >::temporal ( )

The underlying temporal FEValues object.

Returns: A shared pointer to the temporal FEValues object.

◆ time_quadrature_point()

template<int dim>

double idealii::spacetime::FEValues< dim >::time_quadrature_point ( unsigned int quadrature_point )

Get the temporal quadrature point of the given space-time quadrature index.

Parameters

quadrature_point space-time quadrature index.

◆ vector_divergence()

template<int dim>

dealii::FEValuesViews::Vector<dim>::divergence_type idealii::spacetime::FEValues< dim >::vector_divergence	(	const typename dealii::FEValuesExtractors::Vector &	extractor,
		unsigned int	function_no,
		unsigned int	point_no
	)

Spatial divergence of the space-time shape function of a vector-valued finite element component.

This function passes the extractor to the underlying spatial FEValues object and then calls the value function of the resulting view.

Parameters

extractor	Scalar extractor defining the scalar finite element component to be evaluated.
function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

◆ vector_dt()

template<int dim>

dealii::FEValuesViews::Vector<dim>::value_type idealii::spacetime::FEValues< dim >::vector_dt	(	const typename dealii::FEValuesExtractors::Vector &	extractor,
		unsigned int	function_no,
		unsigned int	point_no
	)

Temporal derivative of the space-time shape function of a vector-valued finite element component.

This function passes the extractor to the underlying spatial FEValues object and then calls the value function of the resulting view.

Parameters

extractor	Scalar extractor defining the scalar finite element component to be evaluated.
function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

◆ vector_space_curl()

template<int dim>

dealii::FEValuesViews::Vector<dim>::curl_type idealii::spacetime::FEValues< dim >::vector_space_curl	(	const typename dealii::FEValuesExtractors::Vector &	extractor,
		unsigned int	function_no,
		unsigned int	point_no
	)

Spatial curl of the space-time shape function of a vector-valued finite element component.

This function passes the extractor to the underlying spatial FEValues object and then calls the curl function of the resulting view.

Parameters

extractor	Vector extractor defining the vector finite element component to be evaluated.
function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

◆ vector_space_grad()

template<int dim>

dealii::FEValuesViews::Vector<dim>::gradient_type idealii::spacetime::FEValues< dim >::vector_space_grad	(	const typename dealii::FEValuesExtractors::Vector &	extractor,
		unsigned int	function_no,
		unsigned int	point_no
	)

Spatial gradient of the space-time shape function of a vector-valued finite element component.

This function passes the extractor to the underlying spatial FEValues object and then calls the gradient function of the resulting view.

Parameters

extractor	Vector extractor defining the vector finite element component to be evaluated.
function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

◆ vector_value()

template<int dim>

dealii::FEValuesViews::Vector<dim>::value_type idealii::spacetime::FEValues< dim >::vector_value	(	const typename dealii::FEValuesExtractors::Vector &	extractor,
		unsigned int	function_no,
		unsigned int	point_no
	)

Value of the space-time shape function of a vector-valued finite element component.

This function passes the extractor to the underlying spatial FEValues object and then calls the value function of the resulting view.

Parameters

extractor	Scalar extractor defining the scalar finite element component to be evaluated.
function_no	The number of the space-time function/dof to be evaluated.
point_no	The number of the quadrature point to evaluate at.

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

/home/runner/work/idealii/idealii/include/ideal.II/fe/spacetime_fe_values.hh

Public Member Functions

Public Attributes

Detailed Description

template<int dim> class idealii::spacetime::FEValues< dim >

Constructor & Destructor Documentation

◆ FEValues()

Member Function Documentation

◆ get_local_dof_indices()

◆ JxW()

◆ reinit_space()

◆ reinit_time()

◆ scalar_dt()

◆ scalar_space_grad()

◆ scalar_value()

◆ shape_dt()

◆ shape_space_grad()

◆ shape_value()

◆ space_quadrature_point()

◆ spatial()

◆ temporal()

◆ time_quadrature_point()

◆ vector_divergence()

◆ vector_dt()

◆ vector_space_curl()

◆ vector_space_grad()

◆ vector_value()

template<int dim>
class idealii::spacetime::FEValues< dim >