Dune::Functions::TaylorHoodPreBasis< GV, HI > Class Template Reference

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.
using	size_type = std::size_t
	Type used for indices and size information.
using	Node = TaylorHoodBasisTree< GV >
	Template mapping root tree path to type of created tree node.

Public Member Functions
	TaylorHoodPreBasis (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.
auto	containerDescriptor () const
	Return an container descriptor depending on the flag HI. Either return a Tuple if hybrid indices should be used, otherwise return an Array.

Detailed Description

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

Pre-basis for lowest order Taylor-Hood basis.

Template Parameters

GV	The grid view that the FE basis is defined on
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<IMS,LagrangePreBasis<GV,k+1>,dim>;
using PressurePreBasis = LagrangePreBasis<GV,k>;
using TaylorHoodKPreBasis = CompositePreBasis<BlockedLexicographic, VelocityPreBasis, PressurePreBasis>;

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

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

• dune/functions/functionspacebases/taylorhoodbasis.hh