A pre-basis for a PQ-lagrange bases with given order. More...

#include <dune/functions/functionspacebases/lagrangebasis.hh>

Inheritance diagram for Dune::Functions::LagrangePreBasis< GV, k, MI, R >:

Public Types
using	GridView = GV
	The grid view that the FE basis is defined on.

using	size_type = std::size_t
	Type used for indices and size information.

using	Node = LagrangeNode< GV, k, R >
	Template mapping root tree path to type of created tree node.

using	IndexSet = Impl::DefaultNodeIndexSet< LagrangePreBasis >
	Type of created tree node index set.

using	MultiIndex = MI
	Type used for global numbering of the basis vectors.

using	SizePrefix = Dune::ReservedVector< size_type, 1 >
	Type used for prefixes handed to the size() method.

Public Member Functions
	LagrangePreBasis (const GridView &gv)
	Constructor for a given grid view object with compile-time order.

	LagrangePreBasis (const GridView &gv, unsigned int order)
	Constructor for a given grid view object and run-time order.

void	initializeIndices ()
	Initialize the global indices.

const GridView &	gridView () const
	Obtain the grid view that the basis is defined on.

void	update (const GridView &gv)
	Update the stored grid view, to be called if the grid has changed.

Node	makeNode () const
	Create tree node.

IndexSet	makeIndexSet () const
	Create tree node index set.

size_type	size () const
	Same as size(prefix) with empty prefix.

size_type	size (const SizePrefix prefix) const
	Return number of possible values for next position in multi index.

size_type	dimension () const
	Get the total dimension of the space spanned by this basis.

size_type	maxNodeSize () const
	Get the maximal number of DOFs associated to node for any element.

template<typename It >
It	indices (const Node &node, It it) const

Protected Member Functions
unsigned int	order () const

size_type	dofsPerSimplex (std::size_t simplexDim) const
	Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!)

size_type	dofsPerCube (std::size_t cubeDim) const
	Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!)

size_type	dofsPerPrism () const

size_type	dofsPerPyramid () const

size_type	computeDofsPerSimplex (std::size_t simplexDim) const
	Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!)

size_type	computeDofsPerCube (std::size_t cubeDim) const
	Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!)

size_type	computeDofsPerPrism () const

size_type	computeDofsPerPyramid () const

Protected Attributes
GridView	gridView_

const unsigned int	order_

std::array< size_type, dim+1 >	dofsPerSimplex_

std::array< size_type, dim+1 >	dofsPerCube_

size_type	dofsPerPrism_

size_type	dofsPerPyramid_

size_type	vertexOffset_

size_type	edgeOffset_

size_type	triangleOffset_

size_type	quadrilateralOffset_

size_type	tetrahedronOffset_

size_type	pyramidOffset_

size_type	prismOffset_

size_type	hexahedronOffset_

Detailed Description

template<typename GV, int k, class MI, typename R>
class Dune::Functions::LagrangePreBasis< GV, k, MI, R >

A pre-basis for a PQ-lagrange bases with given order.

Template Parameters

GV	The grid view that the FE basis is defined on
k	The polynomial order of ansatz functions; -1 means 'order determined at run-time'
MI	Type to be used for multi-indices
R	Range type used for shape function values

Note

This only works for certain grids. The following restrictions hold

If k is no larger than 2, then the grids can have any dimension
If k is larger than 3 then the grid must be two-dimensional
If k is 3, then the grid can be 3d if it is a simplex grid

Member Typedef Documentation

◆ GridView

template<typename GV , int k, class MI , typename R >

using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::GridView = GV

The grid view that the FE basis is defined on.

◆ IndexSet

template<typename GV , int k, class MI , typename R >

using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::IndexSet = Impl::DefaultNodeIndexSet<LagrangePreBasis>

Type of created tree node index set.

Deprecated:

◆ MultiIndex

template<typename GV , int k, class MI , typename R >

using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::MultiIndex = MI

Type used for global numbering of the basis vectors.

◆ Node

template<typename GV , int k, class MI , typename R >

using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::Node = LagrangeNode<GV, k, R>

Template mapping root tree path to type of created tree node.

◆ size_type

template<typename GV , int k, class MI , typename R >

using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::size_type = std::size_t

Type used for indices and size information.

◆ SizePrefix

template<typename GV , int k, class MI , typename R >

using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::SizePrefix = Dune::ReservedVector<size_type, 1>

Type used for prefixes handed to the size() method.

Constructor & Destructor Documentation

◆ LagrangePreBasis() [1/2]

template<typename GV , int k, class MI , typename R >

Dune::Functions::LagrangePreBasis< GV, k, MI, R >::LagrangePreBasis ( const GridView & gv )

inline

Constructor for a given grid view object with compile-time order.

◆ LagrangePreBasis() [2/2]

template<typename GV , int k, class MI , typename R >

Dune::Functions::LagrangePreBasis< GV, k, MI, R >::LagrangePreBasis	(	const GridView &	gv,
		unsigned int	order
	)

inline

Constructor for a given grid view object and run-time order.

Member Function Documentation

◆ computeDofsPerCube()

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::computeDofsPerCube ( std::size_t cubeDim ) const

inlineprotected

Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!)

◆ computeDofsPerPrism()

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::computeDofsPerPrism ( ) const

inlineprotected

◆ computeDofsPerPyramid()

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::computeDofsPerPyramid ( ) const

inlineprotected

◆ computeDofsPerSimplex()

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::computeDofsPerSimplex ( std::size_t simplexDim ) const

inlineprotected

Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!)

◆ dimension()

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::dimension ( ) const

inline

Get the total dimension of the space spanned by this basis.

◆ dofsPerCube()

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::dofsPerCube ( std::size_t cubeDim ) const

inlineprotected

Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!)

◆ dofsPerPrism()

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::dofsPerPrism ( ) const

inlineprotected

◆ dofsPerPyramid()

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::dofsPerPyramid ( ) const

inlineprotected

◆ dofsPerSimplex()

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::dofsPerSimplex ( std::size_t simplexDim ) const

inlineprotected

Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!)

◆ gridView()

template<typename GV , int k, class MI , typename R >

const GridView & Dune::Functions::LagrangePreBasis< GV, k, MI, R >::gridView ( ) const

inline

Obtain the grid view that the basis is defined on.

◆ indices()

template<typename GV , int k, class MI , typename R >

template<typename It >

It Dune::Functions::LagrangePreBasis< GV, k, MI, R >::indices	(	const Node &	node,
		It	it
	)		const

inline

◆ initializeIndices()

template<typename GV , int k, class MI , typename R >

void Dune::Functions::LagrangePreBasis< GV, k, MI, R >::initializeIndices ( )

inline

Initialize the global indices.

◆ makeIndexSet()

template<typename GV , int k, class MI , typename R >

IndexSet Dune::Functions::LagrangePreBasis< GV, k, MI, R >::makeIndexSet ( ) const

inline

Create tree node index set.

Create an index set suitable for the tree node obtained by makeNode().

Deprecated:

◆ makeNode()

template<typename GV , int k, class MI , typename R >

Node Dune::Functions::LagrangePreBasis< GV, k, MI, R >::makeNode ( ) const

inline

Create tree node.

◆ maxNodeSize()

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::maxNodeSize ( ) const

inline

Get the maximal number of DOFs associated to node for any element.

◆ order()

template<typename GV , int k, class MI , typename R >

unsigned int Dune::Functions::LagrangePreBasis< GV, k, MI, R >::order ( ) const

inlineprotected

◆ size() [1/2]

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::size ( ) const

inline

Same as size(prefix) with empty prefix.

◆ size() [2/2]

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::size ( const SizePrefix prefix ) const

inline

Return number of possible values for next position in multi index.

◆ update()

template<typename GV , int k, class MI , typename R >

void Dune::Functions::LagrangePreBasis< GV, k, MI, R >::update ( const GridView & gv )

inline

Update the stored grid view, to be called if the grid has changed.

Member Data Documentation

◆ dofsPerCube_

template<typename GV , int k, class MI , typename R >

std::array<size_type,dim+1> Dune::Functions::LagrangePreBasis< GV, k, MI, R >::dofsPerCube_

protected

◆ dofsPerPrism_

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::dofsPerPrism_

protected

◆ dofsPerPyramid_

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::dofsPerPyramid_

protected

◆ dofsPerSimplex_

template<typename GV , int k, class MI , typename R >

std::array<size_type,dim+1> Dune::Functions::LagrangePreBasis< GV, k, MI, R >::dofsPerSimplex_

protected

◆ edgeOffset_

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::edgeOffset_

protected

◆ gridView_

template<typename GV , int k, class MI , typename R >

GridView Dune::Functions::LagrangePreBasis< GV, k, MI, R >::gridView_

protected

◆ hexahedronOffset_

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::hexahedronOffset_

protected

◆ order_

template<typename GV , int k, class MI , typename R >

const unsigned int Dune::Functions::LagrangePreBasis< GV, k, MI, R >::order_

protected

◆ prismOffset_

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::prismOffset_

protected

◆ pyramidOffset_

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::pyramidOffset_

protected

◆ quadrilateralOffset_

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::quadrilateralOffset_

protected

◆ tetrahedronOffset_

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::tetrahedronOffset_

protected

◆ triangleOffset_

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::triangleOffset_

protected

◆ vertexOffset_

template<typename GV , int k, class MI , typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, MI, R >::vertexOffset_

protected

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

lagrangebasis.hh

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ GridView

◆ IndexSet

◆ MultiIndex

◆ Node

◆ size_type

◆ SizePrefix

Constructor & Destructor Documentation

◆ LagrangePreBasis() [1/2]

◆ LagrangePreBasis() [2/2]

Member Function Documentation

◆ computeDofsPerCube()

◆ computeDofsPerPrism()

◆ computeDofsPerPyramid()

◆ computeDofsPerSimplex()

◆ dimension()

◆ dofsPerCube()

◆ dofsPerPrism()

◆ dofsPerPyramid()

◆ dofsPerSimplex()

◆ gridView()

◆ indices()

◆ initializeIndices()

◆ makeIndexSet()

◆ makeNode()

◆ maxNodeSize()

◆ order()

◆ size() [1/2]

◆ size() [2/2]

◆ update()

Member Data Documentation

◆ dofsPerCube_

◆ dofsPerPrism_

◆ dofsPerPyramid_

◆ dofsPerSimplex_

◆ edgeOffset_

◆ gridView_

◆ hexahedronOffset_

◆ order_

◆ prismOffset_

◆ pyramidOffset_

◆ quadrilateralOffset_

◆ tetrahedronOffset_

◆ triangleOffset_

◆ vertexOffset_