Dune::Functions::RannacherTurekPreBasis< GV > 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.

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.
size_type	size () const
	Same as size(prefix) with empty prefix.
template<class SizePrefix >
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

Static Public Attributes
static constexpr size_type	maxMultiIndexSize = 1
static constexpr size_type	minMultiIndexSize = 1
static constexpr size_type	multiIndexBufferSize = 1

Protected Attributes
GridView	gridView_

Detailed Description

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

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

Member Typedef Documentation

GridView

template<typename GV >

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

The grid view that the FE basis is defined on.

Node

template<typename GV >

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

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

size_type

template<typename GV >

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

Type used for indices and size information.

Constructor & Destructor Documentation

RannacherTurekPreBasis()

template<typename GV >

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

inline

Constructor for a given grid view object.

Member Function Documentation

dimension()

template<typename GV >

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

inline

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

gridView()

template<typename GV >

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

inline

Obtain the grid view that the basis is defined on.

indices()

template<typename GV >

template<typename It >

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

inline

initializeIndices()

template<typename GV >

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

inline

Initialize the global indices.

makeNode()

template<typename GV >

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

inline

Create tree node.

maxNodeSize()

template<typename GV >

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

inline

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

size() [1/2]

template<typename GV >

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

inline

Same as size(prefix) with empty prefix.

size() [2/2]

template<typename GV >

template<class SizePrefix >

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

inline

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

update()

template<typename GV >

void Dune::Functions::RannacherTurekPreBasis< GV >::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 >

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

protected

maxMultiIndexSize

template<typename GV >

constexpr size_type Dune::Functions::RannacherTurekPreBasis< GV >::maxMultiIndexSize = 1

staticconstexpr

minMultiIndexSize

template<typename GV >

constexpr size_type Dune::Functions::RannacherTurekPreBasis< GV >::minMultiIndexSize = 1

staticconstexpr

multiIndexBufferSize

template<typename GV >

constexpr size_type Dune::Functions::RannacherTurekPreBasis< GV >::multiIndexBufferSize = 1

staticconstexpr

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

• rannacherturekbasis.hh