Compound finite element on dim dimensional simplex. More...

#include <fe_system.hh>

Inheritance diagram for FESystem< dim, spacedim >:

Collaboration diagram for FESystem< dim, spacedim >:

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Classes
struct	DofComponentData

Public Member Functions
	FESystem (std::shared_ptr< FiniteElement< dim, spacedim > > fe, FEType t)
	Constructor. FESystem for vector or tensor created from a scalar FE. More...

	FESystem (const std::shared_ptr< FiniteElement< dim, spacedim > > &fe, unsigned int n)
	Constructor. FESystem with `n` components created from a scalar FE. More...

	FESystem (std::vector< std::shared_ptr< FiniteElement< dim, spacedim > > > fe)
	Constructor. FESystem for mixed elements. More...

std::vector< unsigned int >	get_scalar_components () const

std::vector< unsigned int >	get_vector_components () const

double	basis_value (const unsigned int i, const arma::vec::fixed< dim > &p, const unsigned int comp) const override
	The vector variant of basis_value must be implemented but need not be used. More...

arma::vec::fixed< dim >	basis_grad (const unsigned int i, const arma::vec::fixed< dim > &p, const unsigned int comp) const override
	The vector variant of basis_grad must be implemented but need not be used. More...

unsigned int	n_components () const override
	Returns numer of components of the basis function. More...

UpdateFlags	update_each (UpdateFlags flags) override
	Decides which additional quantities have to be computed for each cell. More...

Public Member Functions inherited from FiniteElement< dim, spacedim >
	FiniteElement ()
	Constructor. More...

const unsigned int	n_dofs () const
	Returns the number of degrees of freedom needed by the finite element. More...

Dof	dof (unsigned int i) const
	Returns `i` -th degree of freedom. More...

virtual	~FiniteElement ()
	Destructor. More...

Private Member Functions
void	initialize ()
	Initialization of the internal structures from the vector of base FE. More...

FEInternalData *	initialize (const Quadrature< dim > &q) override
	Calculates the data on the reference cell. More...

void	fill_fe_values (const Quadrature< dim > &q, FEInternalData &data, FEValuesData< dim, spacedim > &fv_data) override
	Computes the shape function values and gradients on the actual cell and fills the FEValues structure. More...

void	compute_node_matrix () override
	Initializes the `node_matrix` for computing the coefficients of the shape functions in the raw basis of `functions_space_`. This is done by evaluating the `dofs_` for the basis function and by inverting the resulting matrix. More...

Private Attributes
std::vector< std::shared_ptr< FiniteElement< dim, spacedim > > >	fe_
	Pointers to base FE objects. More...

std::vector< DofComponentData >	fe_dof_indices_
	Information about dofs. More...

std::vector< unsigned int >	scalar_components_

std::vector< unsigned int >	vector_components_

unsigned int	n_components_

Additional Inherited Members
Protected Member Functions inherited from FiniteElement< dim, spacedim >
void	init (bool primitive=true, FEType type=FEScalar)
	Clears all internal structures. More...

void	setup_components ()
	Initialize vectors with information about components of basis functions. More...

const bool	is_primitive () const
	Indicates whether the basis functions have one or more nonzero components (scalar FE spaces are always primitive). More...

unsigned int	system_to_component_index (unsigned sys_idx) const
	Returns the component index for vector valued finite elements. More...

const std::vector< bool > &	get_nonzero_components (unsigned int sys_idx) const
	Returns the mask of nonzero components for given basis function. More...

Protected Attributes inherited from FiniteElement< dim, spacedim >
FEType	type_
	Type of FiniteElement. More...

bool	is_primitive_
	Primitive FE is using componentwise shape functions, i.e. only one component is nonzero for each shape function. More...

std::vector< unsigned int >	component_indices_
	Indices of nonzero components of shape functions (for primitive FE). More...

std::vector< std::vector< bool > >	nonzero_components_
	Footprints of nonzero components of shape functions. More...

arma::mat	node_matrix
	Matrix that determines the coefficients of the raw basis functions from the values at the support points. More...

FunctionSpace *	function_space_
	Function space defining the FE. More...

std::vector< Dof >	dofs_
	Set of degrees of freedom (functionals) defining the FE. More...

Detailed Description

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

Compound finite element on dim dimensional simplex.

This type of FE is used for vector-valued functions and for systems of equations.

Definition at line 36 of file fe_system.hh.

Constructor & Destructor Documentation

template<unsigned int dim, unsigned int spacedim>

FESystem< dim, spacedim >::FESystem	(	std::shared_ptr< FiniteElement< dim, spacedim > >	fe,
		FEType	t
	)

Constructor. FESystem for vector or tensor created from a scalar FE.

Parameters

fe	Base finite element class.
t	Type (vector or tensor).

Definition at line 28 of file fe_system.cc.

template<unsigned int dim, unsigned int spacedim>

FESystem< dim, spacedim >::FESystem	(	const std::shared_ptr< FiniteElement< dim, spacedim > > &	fe,
		unsigned int	n
	)

Constructor. FESystem with n components created from a scalar FE.

Parameters

fe	Base finite element class.
n	Multiplicity (number of components).

Definition at line 47 of file fe_system.cc.

template<unsigned int dim, unsigned int spacedim>

FESystem< dim, spacedim >::FESystem ( std::vector< std::shared_ptr< FiniteElement< dim, spacedim > > > fe )

Constructor. FESystem for mixed elements.

Parameters

fe	Base finite element classes.

Definition at line 56 of file fe_system.cc.

Member Function Documentation

template<unsigned int dim, unsigned int spacedim>

arma::vec::fixed< dim > FESystem< dim, spacedim >::basis_grad	(	const unsigned int	i,
		const arma::vec::fixed< dim > &	p,
		const unsigned int	comp
	)		const

overridevirtual

The vector variant of basis_grad must be implemented but need not be used.

Reimplemented from FiniteElement< dim, spacedim >.

Definition at line 161 of file fe_system.cc.

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template<unsigned int dim, unsigned int spacedim>

double FESystem< dim, spacedim >::basis_value	(	const unsigned int	i,
		const arma::vec::fixed< dim > &	p,
		const unsigned int	comp
	)		const

overridevirtual

The vector variant of basis_value must be implemented but need not be used.

Reimplemented from FiniteElement< dim, spacedim >.

Definition at line 146 of file fe_system.cc.

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template<unsigned int dim, unsigned int spacedim>

void FESystem< dim, spacedim >::compute_node_matrix ( )

overrideprivatevirtual

Initializes the node_matrix for computing the coefficients of the shape functions in the raw basis of functions_space_. This is done by evaluating the dofs_ for the basis function and by inverting the resulting matrix.

Reimplemented from FiniteElement< dim, spacedim >.

Definition at line 189 of file fe_system.cc.

template<unsigned int dim, unsigned int spacedim>

void FESystem< dim, spacedim >::fill_fe_values	(	const Quadrature< dim > &	q,
		FEInternalData &	data,
		FEValuesData< dim, spacedim > &	fv_data
	)

inlineoverrideprivatevirtual

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

Parameters

q	Quadrature rule.
data	Precomputed finite element data.
fv_data	Data to be computed.

Reimplemented from FiniteElement< dim, spacedim >.

Definition at line 253 of file fe_system.cc.

template<unsigned int dim, unsigned int spacedim>

std::vector<unsigned int> FESystem< dim, spacedim >::get_scalar_components ( ) const

inline

Definition at line 60 of file fe_system.hh.

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template<unsigned int dim, unsigned int spacedim>

std::vector<unsigned int> FESystem< dim, spacedim >::get_vector_components ( ) const

inline

Definition at line 63 of file fe_system.hh.

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template<unsigned int dim, unsigned int spacedim>

void FESystem< dim, spacedim >::initialize ( )

private

Initialization of the internal structures from the vector of base FE.

Definition at line 67 of file fe_system.cc.

template<unsigned int dim, unsigned int spacedim>

FEInternalData * FESystem< dim, spacedim >::initialize ( const Quadrature< dim > & q )

overrideprivatevirtual

Calculates the data on the reference cell.

Parameters

q	Quadrature rule.
flags	Update flags.

Reimplemented from FiniteElement< dim, spacedim >.

Definition at line 208 of file fe_system.cc.

template<unsigned int dim, unsigned int spacedim>

unsigned int FESystem< dim, spacedim >::n_components ( ) const

inlineoverridevirtual

Returns numer of components of the basis function.

Reimplemented from FiniteElement< dim, spacedim >.

Definition at line 80 of file fe_system.hh.

template<unsigned int dim, unsigned int spacedim>

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

inlineoverridevirtual

Decides which additional quantities have to be computed for each cell.

Parameters

flags Computed update flags.

Reimplemented from FiniteElement< dim, spacedim >.

Definition at line 177 of file fe_system.cc.

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Member Data Documentation

template<unsigned int dim, unsigned int spacedim>

std::vector<std::shared_ptr<FiniteElement<dim,spacedim> > > FESystem< dim, spacedim >::fe_

private

Pointers to base FE objects.

Definition at line 123 of file fe_system.hh.

template<unsigned int dim, unsigned int spacedim>

std::vector<DofComponentData> FESystem< dim, spacedim >::fe_dof_indices_

private

Information about dofs.

Definition at line 126 of file fe_system.hh.

template<unsigned int dim, unsigned int spacedim>

unsigned int FESystem< dim, spacedim >::n_components_

private

Definition at line 131 of file fe_system.hh.

template<unsigned int dim, unsigned int spacedim>

std::vector<unsigned int> FESystem< dim, spacedim >::scalar_components_

private

Definition at line 128 of file fe_system.hh.

template<unsigned int dim, unsigned int spacedim>

std::vector<unsigned int> FESystem< dim, spacedim >::vector_components_

private

Definition at line 129 of file fe_system.hh.

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

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

Classes

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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