dune-functions: Dune::Functions::TaylorHoodPreBasis< GV, MI, HI > Class Template Reference

dune-functions 2.7.1

Pre-basis for lowest order Taylor-Hood basis. More...

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

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...

using	Node = TaylorHoodBasisTree< GV >
	Template mapping root tree path to type of created tree node. More...

using	IndexSet = TaylorHoodNodeIndexSet< GV, MI, HI >
	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, 2 >
	Type used for prefixes handed to the size() method. More...

Public Member Functions
	TaylorHoodPreBasis (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...

Node	makeNode () const
	Create tree node. More...

IndexSet	makeIndexSet () const
	Create tree node index set. 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_

PQ1PreBasis	pq1PreBasis_

PQ2PreBasis	pq2PreBasis_

Detailed Description

template<typename GV, class MI, bool HI = false>
class Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >

Pre-basis for lowest order Taylor-Hood basis.

Template Parameters

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

Note: This mainly serves as an example, since you can construct a pre-basis with the same functionality manually using
static const int k = 1;

using VelocityPreBasis = PowerPreBasis<MI,IMS,LagrangePreBasis<GV,k+1,MI>,dim>;

using PressurePreBasis = LagrangePreBasis<GV,k,MI>;

using TaylorHoodKPreBasis = CompositePreBasis<MI, BlockedLexicographic, VelocityPreBasis, PressurePreBasis>;

Where IMS is BlockedInterleaved if HI is set and FlatInterleaved otherwise.

Member Typedef Documentation

◆ GridView

template<typename GV , class MI , bool HI = false>

using Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >::GridView = GV

The grid view that the FE basis is defined on.

◆ IndexSet

template<typename GV , class MI , bool HI = false>

using Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >::IndexSet = TaylorHoodNodeIndexSet<GV, MI, HI>

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

◆ MultiIndex

template<typename GV , class MI , bool HI = false>

using Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >::MultiIndex = MI

Type used for global numbering of the basis vectors.

◆ Node

template<typename GV , class MI , bool HI = false>

using Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >::Node = TaylorHoodBasisTree<GV>

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

◆ size_type

template<typename GV , class MI , bool HI = false>

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

Type used for indices and size information.

◆ SizePrefix

template<typename GV , class MI , bool HI = false>

using Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >::SizePrefix = Dune::ReservedVector<size_type, 2>

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

Constructor & Destructor Documentation

◆ TaylorHoodPreBasis()

template<typename GV , class MI , bool HI = false>

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

inline

Constructor for a given grid view object.

Member Function Documentation

◆ dimension()

template<typename GV , class MI , bool HI = false>

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

inline

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

◆ gridView()

template<typename GV , class MI , bool HI = false>

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

inline

Obtain the grid view that the basis is defined on.

◆ initializeIndices()

template<typename GV , class MI , bool HI = false>

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

inline

Initialize the global indices.

◆ makeIndexSet()

template<typename GV , class MI , bool HI = false>

IndexSet Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >::makeIndexSet ( ) const

inline

Create tree node index set.

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

◆ makeNode()

template<typename GV , class MI , bool HI = false>

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

inline

Create tree node.

◆ maxNodeSize()

template<typename GV , class MI , bool HI = false>

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

inline

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

◆ size() [1/2]

template<typename GV , class MI , bool HI = false>

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

inline

Same as size(prefix) with empty prefix.

◆ size() [2/2]

template<typename GV , class MI , bool HI = false>

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

inline

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

◆ update()

template<typename GV , class MI , bool HI = false>

void Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >::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 , bool HI = false>

GridView Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >::gridView_

protected

◆ pq1PreBasis_

template<typename GV , class MI , bool HI = false>

PQ1PreBasis Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >::pq1PreBasis_

protected

◆ pq2PreBasis_

template<typename GV , class MI , bool HI = false>

PQ2PreBasis Dune::Functions::TaylorHoodPreBasis< GV, MI, HI >::pq2PreBasis_

protected

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

taylorhoodbasis.hh