Base class for FEValues and FESideValues. More...

#include <fe_values.hh>

Inheritance diagram for FEValuesBase< dim, spacedim >:

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Collaboration diagram for FEValuesBase< dim, spacedim >:

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Classes
struct	ViewsCache

Public Member Functions
	FEValuesBase ()
	Default constructor. More...

virtual	~FEValuesBase ()

void	allocate (Mapping< dim, spacedim > &_mapping, unsigned int n_points, FiniteElement< dim > &_fe, UpdateFlags flags)
	Allocates space for computed data. More...

UpdateFlags	update_each (UpdateFlags flags)
	Determine quantities to be recomputed on each cell. More...

double	shape_value (const unsigned int function_no, const unsigned int point_no) override
	Return the value of the `function_no-th` shape function at the `point_no-th` quadrature point. More...

arma::vec::fixed< spacedim >	shape_grad (const unsigned int function_no, const unsigned int point_no) override
	Return the gradient of the `function_no-th` shape function at the `point_no-th` quadrature point. More...

double	shape_value_component (const unsigned int function_no, const unsigned int point_no, const unsigned int comp) const
	Return the value of the `function_no-th` shape function at the `point_no-th` quadrature point. More...

arma::vec::fixed< spacedim >	shape_grad_component (const unsigned int function_no, const unsigned int point_no, const unsigned int comp) const
	Return the gradient of the `function_no-th` shape function at the `point_no-th` quadrature point. More...

double	determinant (const unsigned int point_no)
	Return the relative volume change of the cell (Jacobian determinant). More...

double	JxW (const unsigned int point_no) override
	Return the product of Jacobian determinant and the quadrature weight at given quadrature point. More...

arma::vec::fixed< spacedim >	point (const unsigned int point_no)
	Return coordinates of the quadrature point in the actual cell system. More...

vector< arma::vec::fixed< spacedim > > &	point_list ()
	Return coordinates of all quadrature points in the actual cell system. More...

arma::vec::fixed< spacedim >	normal_vector (unsigned int point_no) override
	Returns the normal vector to a side at given quadrature point. More...

const FEValuesViews::Scalar< dim, spacedim > &	scalar_view (unsigned int i) const
	Accessor to scalar values of multicomponent FE. More...

const FEValuesViews::Vector< dim, spacedim > &	vector_view (unsigned int i) const
	Accessor to vector values of multicomponent FE. More...

const FEValuesViews::Tensor< dim, spacedim > &	tensor_view (unsigned int i) const
	Accessor to tensor values of multicomponent FE. More...

unsigned int	n_points ()
	Returns the number of quadrature points. More...

unsigned int	n_dofs () override
	Returns the number of shape functions. More...

virtual const Quadrature< dim > *	get_quadrature () const =0
	Returns the quadrature in use. More...

FiniteElement< dim > *	get_fe () const
	Returns the finite element in use. More...

Mapping< dim, spacedim > *	get_mapping () const
	Returns the mapping in use. More...

Public Member Functions inherited from FEValuesSpaceBase< spacedim >
virtual	~FEValuesSpaceBase ()

Protected Member Functions
FEInternalData *	init_fe_data (const Quadrature< dim > *q)
	Precompute finite element data on reference element. More...

void	fill_data (const FEInternalData &fe_data)
	Computes the shape function values and gradients on the actual cell and fills the FEValues structure. More...

void	fill_scalar_data (const FEInternalData &fe_data)
	Compute shape functions and gradients on the actual cell for scalar FE. More...

void	fill_vec_data (const FEInternalData &fe_data)
	Compute shape functions and gradients on the actual cell for vectorial FE. More...

void	fill_vec_contravariant_data (const FEInternalData &fe_data)
	Compute shape functions and gradients on the actual cell for vectorial FE. More...

void	fill_vec_piola_data (const FEInternalData &fe_data)
	Compute shape functions and gradients on the actual cell for Raviart-Thomas FE. More...

void	fill_tensor_data (const FEInternalData &fe_data)
	Compute shape functions and gradients on the actual cell for tensorial FE. More...

void	fill_system_data (const FEInternalData &fe_data)
	Compute shape functions and gradients on the actual cell for mixed system of FE. More...

Protected Attributes
Mapping< dim, spacedim > *	mapping
	The mapping from the reference cell to the actual cell. More...

unsigned int	n_points_
	Number of integration points. More...

FiniteElement< dim > *	fe
	The used finite element. More...

MappingInternalData *	mapping_data
	Precomputed mapping data. More...

FEInternalData *	fe_data
	Precomputed finite element data. More...

FEValuesData< dim, spacedim >	data
	Data computed by the mapping and finite element. More...

std::vector< std::shared_ptr< FEValuesBase< dim, spacedim > > >	fe_values_vec
	Vector of FEValues for sub-elements of FESystem. More...

unsigned int	n_components_
	Number of components of the FE. More...

ViewsCache	views_cache_
	Auxiliary storage of FEValuesViews accessors. More...

Detailed Description

template<unsigned int dim, unsigned int spacedim>
class FEValuesBase< dim, spacedim >

Base class for FEValues and FESideValues.

Definition at line 37 of file fe_values.hh.

Constructor & Destructor Documentation

template<unsigned int dim, unsigned int spacedim>

FEValuesBase< dim, spacedim >::FEValuesBase ( )

Default constructor.

Definition at line 141 of file fe_values.cc.

template<unsigned int dim, unsigned int spacedim>

FEValuesBase< dim, spacedim >::~FEValuesBase ( )

virtual

Correct deallocation of objects created by 'initialize' methods.

Definition at line 149 of file fe_values.cc.

Member Function Documentation

template<unsigned int dim, unsigned int spacedim>

void FEValuesBase< dim, spacedim >::allocate	(	Mapping< dim, spacedim > &	_mapping,
		unsigned int	n_points,
		FiniteElement< dim > &	_fe,
		UpdateFlags	flags
	)

Allocates space for computed data.

Parameters

_mapping	The mapping between reference and actual cell.
_quadrature	The quadrature rule.
_fe	The finite element.
flags	The update flags.

Definition at line 157 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

double FEValuesBase< dim, spacedim >::determinant ( const unsigned int point_no )

inline

Return the relative volume change of the cell (Jacobian determinant).

If dim==spacedim then the sign may be negative, otherwise the result is a positive number.

Parameters

point_no Number of the quadrature point.

Definition at line 324 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

void FEValuesBase< dim, spacedim >::fill_data ( const FEInternalData & fe_data )

protected

Computes the shape function values and gradients on the actual cell and fills the FEValues structure.

Parameters

fe_data Precomputed finite element data.

Definition at line 478 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

void FEValuesBase< dim, spacedim >::fill_scalar_data ( const FEInternalData & fe_data )

protected

Compute shape functions and gradients on the actual cell for scalar FE.

Definition at line 270 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

void FEValuesBase< dim, spacedim >::fill_system_data ( const FEInternalData & fe_data )

protected

Compute shape functions and gradients on the actual cell for mixed system of FE.

Definition at line 414 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

void FEValuesBase< dim, spacedim >::fill_tensor_data ( const FEInternalData & fe_data )

protected

Compute shape functions and gradients on the actual cell for tensorial FE.

Definition at line 383 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

void FEValuesBase< dim, spacedim >::fill_vec_contravariant_data ( const FEInternalData & fe_data )

protected

Compute shape functions and gradients on the actual cell for vectorial FE.

Definition at line 320 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

void FEValuesBase< dim, spacedim >::fill_vec_data ( const FEInternalData & fe_data )

protected

Compute shape functions and gradients on the actual cell for vectorial FE.

Definition at line 289 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

void FEValuesBase< dim, spacedim >::fill_vec_piola_data ( const FEInternalData & fe_data )

protected

Compute shape functions and gradients on the actual cell for Raviart-Thomas FE.

Definition at line 351 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

FiniteElement<dim>* FEValuesBase< dim, spacedim >::get_fe ( ) const

inline

Returns the finite element in use.

Definition at line 427 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>

Mapping<dim,spacedim>* FEValuesBase< dim, spacedim >::get_mapping ( ) const

inline

Returns the mapping in use.

Definition at line 435 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

virtual const Quadrature<dim>* FEValuesBase< dim, spacedim >::get_quadrature ( ) const

pure virtual

Returns the quadrature in use.

Implemented in FESideValues< dim, spacedim >, FESideValues< dim+1, 3 >, FEValues< dim, spacedim >, and FEValues< dim, 3 >.

template<unsigned int dim, unsigned int spacedim>

FEInternalData * FEValuesBase< dim, spacedim >::init_fe_data ( const Quadrature< dim > * q )

protected

Precompute finite element data on reference element.

Definition at line 184 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

double FEValuesBase< dim, spacedim >::JxW ( const unsigned int point_no )

inlineoverridevirtual

Return the product of Jacobian determinant and the quadrature weight at given quadrature point.

Parameters

point_no Number of the quadrature point.

Implements FEValuesSpaceBase< spacedim >.

Definition at line 336 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>

unsigned int FEValuesBase< dim, spacedim >::n_dofs ( )

inlineoverridevirtual

Returns the number of shape functions.

Implements FEValuesSpaceBase< spacedim >.

Definition at line 413 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

unsigned int FEValuesBase< dim, spacedim >::n_points ( )

inline

Returns the number of quadrature points.

Definition at line 407 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>

arma::vec::fixed<spacedim> FEValuesBase< dim, spacedim >::normal_vector ( unsigned int point_no )

inlineoverridevirtual

Returns the normal vector to a side at given quadrature point.

Parameters

point_no Number of the quadrature point.

Implements FEValuesSpaceBase< spacedim >.

Definition at line 368 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>

arma::vec::fixed<spacedim> FEValuesBase< dim, spacedim >::point ( const unsigned int point_no )

inline

Return coordinates of the quadrature point in the actual cell system.

Parameters

point_no Number of the quadrature point.

Definition at line 347 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>

vector<arma::vec::fixed<spacedim> >& FEValuesBase< dim, spacedim >::point_list ( )

inline

Return coordinates of all quadrature points in the actual cell system.

Definition at line 357 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>

const FEValuesViews::Scalar<dim,spacedim>& FEValuesBase< dim, spacedim >::scalar_view ( unsigned int i ) const

inline

Accessor to scalar values of multicomponent FE.

Parameters

i	Index of scalar component.

Definition at line 378 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

arma::vec::fixed< spacedim > FEValuesBase< dim, spacedim >::shape_grad	(	const unsigned int	function_no,
		const unsigned int	point_no
	)

overridevirtual

Return the gradient of the function_no-th shape function at the point_no-th quadrature point.

Parameters

function_no	Number of the shape function.
point_no	Number of the quadrature point.

Implements FEValuesSpaceBase< spacedim >.

Definition at line 237 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

arma::vec::fixed< spacedim > FEValuesBase< dim, spacedim >::shape_grad_component	(	const unsigned int	function_no,
		const unsigned int	point_no,
		const unsigned int	comp
	)		const

Return the gradient of the function_no-th shape function at the point_no-th quadrature point.

For vectorial finite elements.

Parameters

function_no	Number of the shape function.
point_no	Number of the quadrature point.

Definition at line 258 of file fe_values.cc.

template<unsigned int dim, unsigned int spacedim>

double FEValuesBase< dim, spacedim >::shape_value	(	const unsigned int	function_no,
		const unsigned int	point_no
	)

overridevirtual

Return the value of the function_no-th shape function at the point_no-th quadrature point.

Parameters

function_no	Number of the shape function.
point_no	Number of the quadrature point.

Implements FEValuesSpaceBase< spacedim >.

Definition at line 228 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

double FEValuesBase< dim, spacedim >::shape_value_component	(	const unsigned int	function_no,
		const unsigned int	point_no,
		const unsigned int	comp
	)		const

Return the value of the function_no-th shape function at the point_no-th quadrature point.

For vectorial finite elements.

Parameters

function_no	Number of the shape function.
point_no	Number of the quadrature point.

Definition at line 246 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

const FEValuesViews::Tensor<dim,spacedim>& FEValuesBase< dim, spacedim >::tensor_view ( unsigned int i ) const

inline

Accessor to tensor values of multicomponent FE.

Parameters

i	Index of first tensor component.

Definition at line 398 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>

UpdateFlags FEValuesBase< dim, spacedim >::update_each ( UpdateFlags flags )

Determine quantities to be recomputed on each cell.

Parameters

flags Flags that indicate what has to be recomputed.

Definition at line 219 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>

const FEValuesViews::Vector<dim,spacedim>& FEValuesBase< dim, spacedim >::vector_view ( unsigned int i ) const

inline

Accessor to vector values of multicomponent FE.

Parameters

i	Index of first vector component.

Definition at line 388 of file fe_values.hh.

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Member Data Documentation

template<unsigned int dim, unsigned int spacedim>

FEValuesData<dim,spacedim> FEValuesBase< dim, spacedim >::data

protected

Data computed by the mapping and finite element.

Definition at line 498 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

FiniteElement<dim>* FEValuesBase< dim, spacedim >::fe

protected

The used finite element.

Definition at line 483 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

FEInternalData* FEValuesBase< dim, spacedim >::fe_data

protected

Precomputed finite element data.

Definition at line 493 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

std::vector<std::shared_ptr<FEValuesBase<dim,spacedim> > > FEValuesBase< dim, spacedim >::fe_values_vec

protected

Vector of FEValues for sub-elements of FESystem.

Definition at line 501 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

Mapping<dim,spacedim>* FEValuesBase< dim, spacedim >::mapping

protected

The mapping from the reference cell to the actual cell.

Definition at line 475 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

MappingInternalData* FEValuesBase< dim, spacedim >::mapping_data

protected

Precomputed mapping data.

Definition at line 488 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

unsigned int FEValuesBase< dim, spacedim >::n_components_

protected

Number of components of the FE.

Definition at line 504 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

unsigned int FEValuesBase< dim, spacedim >::n_points_

protected

Number of integration points.

Definition at line 478 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>

ViewsCache FEValuesBase< dim, spacedim >::views_cache_

protected

Auxiliary storage of FEValuesViews accessors.

Definition at line 507 of file fe_values.hh.

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

/opt/flow123d/flow123d/src/fem/fe_values.hh
/opt/flow123d/flow123d/src/fem/fe_values.cc

Classes

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<unsigned int dim, unsigned int spacedim> class FEValuesBase< dim, spacedim >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<unsigned int dim, unsigned int spacedim>
class FEValuesBase< dim, spacedim >