dune-functions 2.8.0
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Public Types | Public Member Functions | Protected Attributes | List of all members
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 GridViewgridView () 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
GVThe grid view that the FE basis is defined on
MIType 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

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