Dune::Functions::RannacherTurekPreBasis< GV, MI > Class Template Reference

Pre-basis for a Rannacher-Turek basis. More...

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

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 = RannacherTurekNode< GV >
	Template mapping root tree path to type of created tree node.
using	IndexSet = Impl::DefaultNodeIndexSet< RannacherTurekPreBasis >
	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
	RannacherTurekPreBasis (const GridView &gv)
	Constructor for a given grid view object.
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 Attributes
GridView	gridView_

Detailed Description

template<typename GV, class MI>
class Dune::Functions::RannacherTurekPreBasis< GV, MI >

Pre-basis for a Rannacher-Turek basis.

These are Crouzeix-Raviart-elements for quadrilateral elements. See Rolf Rannacher and Stefan Turek. Simple nonconforming quadrilateral Stokes element. Numerical Methods for Partial Differential Equations, 8:97–111, 1992.

Template Parameters

GV	The grid view that the FE basis is defined on
MI	Type to be used for multi-indices

Member Typedef Documentation

GridView

template<typename GV , class MI >

using Dune::Functions::RannacherTurekPreBasis< GV, MI >::GridView = GV

The grid view that the FE basis is defined on.

IndexSet

template<typename GV , class MI >

using Dune::Functions::RannacherTurekPreBasis< GV, MI >::IndexSet = Impl::DefaultNodeIndexSet<RannacherTurekPreBasis>

Type of created tree node index set.

Deprecated:

MultiIndex

template<typename GV , class MI >

using Dune::Functions::RannacherTurekPreBasis< GV, MI >::MultiIndex = MI

Type used for global numbering of the basis vectors.

Node

template<typename GV , class MI >

using Dune::Functions::RannacherTurekPreBasis< GV, MI >::Node = RannacherTurekNode<GV>

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

size_type

template<typename GV , class MI >

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

Type used for indices and size information.

SizePrefix

template<typename GV , class MI >

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

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

Constructor & Destructor Documentation

RannacherTurekPreBasis()

template<typename GV , class MI >

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

inline

Constructor for a given grid view object.

Member Function Documentation

dimension()

template<typename GV , class MI >

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

inline

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

gridView()

template<typename GV , class MI >

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

inline

Obtain the grid view that the basis is defined on.

indices()

template<typename GV , class MI >

template<typename It >

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

inline

initializeIndices()

template<typename GV , class MI >

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

inline

Initialize the global indices.

makeIndexSet()

template<typename GV , class MI >

IndexSet Dune::Functions::RannacherTurekPreBasis< GV, MI >::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 , class MI >

Node Dune::Functions::RannacherTurekPreBasis< GV, MI >::makeNode ( ) const

inline

Create tree node.

maxNodeSize()

template<typename GV , class MI >

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

inline

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

size() [1/2]

template<typename GV , class MI >

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

inline

Same as size(prefix) with empty prefix.

size() [2/2]

template<typename GV , class MI >

size_type Dune::Functions::RannacherTurekPreBasis< GV, MI >::size ( const SizePrefix  prefix ) const

inline

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

update()

template<typename GV , class MI >

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

inline

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

Member Data Documentation

gridView_

template<typename GV , class MI >

GridView Dune::Functions::RannacherTurekPreBasis< GV, MI >::gridView_

protected

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

• rannacherturekbasis.hh