Dune Core Modules (2.8.0)

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. More...
 
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. More...
 
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.
 

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

◆ IndexSet

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

Type of created tree node index set.

Deprecated:

Member Function Documentation

◆ 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:

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