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

A pre-basis for a hierarchical basis. More...

#include <dune/functions/functionspacebases/hierarchicallagrangebasis.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 = HierarchicalLagrangeNode< GV, k, R >
	Template mapping root tree path to type of created tree node.
using	IndexSet = Impl::DefaultNodeIndexSet< HierarchicalLagrangePreBasis >
	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
	HierarchicalLagrangePreBasis (const GridView &gv)
	Constructor for a given grid view object with layout for second order. More...
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 & MultipleCodimMultipleGeomTypeMapper, 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. More...

Detailed Description

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

A pre-basis for a hierarchical basis.

Template Parameters

GV	The grid view that the FE basis is defined on
k	The polynomial order of ansatz functions (limited to second order till now)
MI	Type to be used for multi-indices
R	Range type used for shape function values

Constructor & Destructor Documentation

HierarchicalLagrangePreBasis()

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

Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::HierarchicalLagrangePreBasis ( const GridView &  gv )

inline

Constructor for a given grid view object with layout for second order.

(adjust for higher-orders)

Member Function Documentation

makeIndexSet()

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

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

inline

Create tree node index set.

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

maxNodeSize()

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

size_type Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::maxNodeSize ( ) const

inline

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

See https://en.wikipedia.org/wiki/Figurate_number for an explanation of the formula

References Dune::binomial().

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

• dune/functions/functionspacebases/hierarchicallagrangebasis.hh