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

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

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

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

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

template<class TP >
using	Node = PQkNode< GV, k, TP >
	Template mapping root tree path to type of created tree node. More...

template<class TP >
using	IndexSet = PQkNodeIndexSet< GV, k, MI, TP >
	Template mapping root tree path to type of created tree node index set. More...

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

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

Public Member Functions
	PQkPreBasis (const GridView &gv)
	Constructor for a given grid view object. More...

void	initializeIndices ()
	Initialize the global indices. More...

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

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

template<class TP >
Node< TP >	node (const TP &tp) const
	Create tree node with given root tree path. More...

template<class TP >
IndexSet< TP >	indexSet () const
	Create tree node index set with given root tree path. More...

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

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

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

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

Protected Attributes
GridView	gridView_

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>
class Dune::Functions::PQkPreBasis< GV, k, MI >

A pre-basis for 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
MI	Type to be used for multi-indices

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>

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

The grid view that the FE basis is defined on.

◆ IndexSet

template<typename GV, int k, class MI>

template<class TP >

using Dune::Functions::PQkPreBasis< GV, k, MI >::IndexSet = PQkNodeIndexSet<GV, k, MI, TP>

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

◆ MultiIndex

template<typename GV, int k, class MI>

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

Type used for global numbering of the basis vectors.

◆ Node

template<typename GV, int k, class MI>

template<class TP >

using Dune::Functions::PQkPreBasis< GV, k, MI >::Node = PQkNode<GV, k, TP>

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

◆ size_type

template<typename GV, int k, class MI>

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

Type used for indices and size information.

◆ SizePrefix

template<typename GV, int k, class MI>

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

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

Constructor & Destructor Documentation

◆ PQkPreBasis()

template<typename GV, int k, class MI>

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

inline

Constructor for a given grid view object.

Member Function Documentation

◆ dimension()

template<typename GV, int k, class MI>

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

inline

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

◆ gridView()

template<typename GV, int k, class MI>

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

inline

Obtain the grid view that the basis is defined on.

◆ indexSet()

template<typename GV, int k, class MI>

template<class TP >

IndexSet<TP> Dune::Functions::PQkPreBasis< GV, k, MI >::indexSet ( ) const

inline

Create tree node index set with given root tree path.

Template Parameters

TP	Type of root tree path

Parameters

tp	Root tree path

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

◆ initializeIndices()

template<typename GV, int k, class MI>

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

inline

Initialize the global indices.

◆ maxNodeSize()

template<typename GV, int k, class MI>

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

inline

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

◆ node()

template<typename GV, int k, class MI>

template<class TP >

Node<TP> Dune::Functions::PQkPreBasis< GV, k, MI >::node ( const TP & tp ) const

inline

Create tree node with given root tree path.

Template Parameters

TP	Type of root tree path

Parameters

tp	Root tree path

By passing a non-trivial root tree path this can be used to create a node suitable for being placed in a tree at the position specified by the root tree path.

◆ size() [1/2]

template<typename GV, int k, class MI>

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

inline

Same as size(prefix) with empty prefix.

◆ size() [2/2]

template<typename GV, int k, class MI>

size_type Dune::Functions::PQkPreBasis< GV, k, MI >::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>

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

inline

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

Member Data Documentation

◆ edgeOffset_

template<typename GV, int k, class MI>

size_type Dune::Functions::PQkPreBasis< GV, k, MI >::edgeOffset_

protected

◆ gridView_

template<typename GV, int k, class MI>

GridView Dune::Functions::PQkPreBasis< GV, k, MI >::gridView_

protected

◆ hexahedronOffset_

template<typename GV, int k, class MI>

size_type Dune::Functions::PQkPreBasis< GV, k, MI >::hexahedronOffset_

protected

◆ prismOffset_

template<typename GV, int k, class MI>

size_type Dune::Functions::PQkPreBasis< GV, k, MI >::prismOffset_

protected

◆ pyramidOffset_

template<typename GV, int k, class MI>

size_type Dune::Functions::PQkPreBasis< GV, k, MI >::pyramidOffset_

protected

◆ quadrilateralOffset_

template<typename GV, int k, class MI>

size_type Dune::Functions::PQkPreBasis< GV, k, MI >::quadrilateralOffset_

protected

◆ tetrahedronOffset_

template<typename GV, int k, class MI>

size_type Dune::Functions::PQkPreBasis< GV, k, MI >::tetrahedronOffset_

protected

◆ triangleOffset_

template<typename GV, int k, class MI>

size_type Dune::Functions::PQkPreBasis< GV, k, MI >::triangleOffset_

protected

◆ vertexOffset_

template<typename GV, int k, class MI>

size_type Dune::Functions::PQkPreBasis< GV, k, MI >::vertexOffset_

protected

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

pqknodalbasis.hh

Public Types

Public Member Functions

Protected Attributes

Detailed Description

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

Member Typedef Documentation

◆ GridView

◆ IndexSet

◆ MultiIndex

◆ Node

◆ size_type

◆ SizePrefix

Constructor & Destructor Documentation

◆ PQkPreBasis()

Member Function Documentation

◆ dimension()

◆ gridView()

◆ indexSet()

◆ initializeIndices()

◆ maxNodeSize()

◆ node()

◆ size() [1/2]

◆ size() [2/2]

◆ update()

Member Data Documentation

◆ edgeOffset_

◆ gridView_

◆ hexahedronOffset_

◆ prismOffset_

◆ pyramidOffset_

◆ quadrilateralOffset_

◆ tetrahedronOffset_

◆ triangleOffset_

◆ vertexOffset_

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