Dune::Functions::LagrangePreBasis< GV, k, MI, R > Class Template Reference

A pre-basis for a PQ-lagrange bases with given order. More...

#include <dune/functions/functionspacebases/lagrangebasis.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 = LagrangeNode< GV, k, R >
	Template mapping root tree path to type of created tree node.
using	IndexSet = Impl::DefaultNodeIndexSet< LagrangePreBasis >
	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
	LagrangePreBasis (const GridView &gv)
	Constructor for a given grid view object with compile-time order.
	LagrangePreBasis (const GridView &gv, unsigned int order)
	Constructor for a given grid view object and run-time order.
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.
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.

Protected Member Functions
size_type	dofsPerSimplex (std::size_t simplexDim) const
	Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!)
size_type	dofsPerCube (std::size_t cubeDim) const
	Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!)
size_type	computeDofsPerSimplex (std::size_t simplexDim) const
	Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!)
size_type	computeDofsPerCube (std::size_t cubeDim) const
	Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!)

Detailed Description

template<typename GV, int k, class MI, typename R>
class Dune::Functions::LagrangePreBasis< GV, k, MI, R >

A pre-basis for a PQ-lagrange bases with given order.

Template Parameters

GV	The grid view that the FE basis is defined on
k	The polynomial order of ansatz functions; -1 means 'order determined at run-time'
MI	Type to be used for multi-indices
R	Range type used for shape function values

Note

This only works for certain grids. The following restrictions hold

• If k is no larger than 2, then the grids can have any dimension
• If k is larger than 3 then the grid must be two-dimensional
• If k is 3, then the grid can be 3d if it is a simplex grid

Member Typedef Documentation

IndexSet

template<typename GV , int k, class MI , typename R >

using Dune::Functions::LagrangePreBasis< GV, k, MI, R >::IndexSet = Impl::DefaultNodeIndexSet<LagrangePreBasis>

Type of created tree node index set.

Deprecated:

Member Function Documentation

makeIndexSet()

template<typename GV , int k, class MI , typename R >

IndexSet Dune::Functions::LagrangePreBasis< GV, k, MI, R >::makeIndexSet ( ) const

inline

Create tree node index set.

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

Deprecated:

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

• dune/functions/functionspacebases/lagrangebasis.hh