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. More...

using	size_type = std::size_t
	Type used for indices and size information. More...

using	Node = HierarchicalLagrangeNode< GV, k, R >
	Template mapping root tree path to type of created tree node. More...

using	IndexSet = Impl::DefaultNodeIndexSet< HierarchicalLagrangePreBasis >
	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, 1 >
	Type used for prefixes handed to the size() method. More...

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. 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 & `MultipleCodimMultipleGeomTypeMapper`, 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...

template<typename It >
It	indices (const Node &node, It it) const

Protected Member Functions
unsigned int	order () const

Protected Attributes
GridView	gridView_

MultipleCodimMultipleGeomTypeMapper< GridView >	mcmgMapper_

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

Member Typedef Documentation

◆ GridView

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

using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::GridView = GV

The grid view that the FE basis is defined on.

◆ IndexSet

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

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

Type of created tree node index set.

◆ MultiIndex

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

using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::MultiIndex = MI

Type used for global numbering of the basis vectors.

◆ Node

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

using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::Node = HierarchicalLagrangeNode<GV, k, R>

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

◆ size_type

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

using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::size_type = std::size_t

Type used for indices and size information.

◆ SizePrefix

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

using Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::SizePrefix = Dune::ReservedVector<size_type, 1>

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

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

◆ dimension()

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

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

inline

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

◆ gridView()

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

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

inline

Obtain the grid view that the basis is defined on.

◆ indices()

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

template<typename It >

It Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::indices	(	const Node &	node,
		It	it
	)		const

inline

◆ initializeIndices()

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

void Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::initializeIndices ( )

inline

Initialize the global indices.

◆ 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().

◆ makeNode()

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

Node Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::makeNode ( ) const

inline

Create tree node.

◆ 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

◆ order()

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

unsigned int Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::order ( ) const

inlineprotected

◆ size() [1/2]

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

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

inline

Same as size(prefix) with empty prefix.

◆ size() [2/2]

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

size_type Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::size ( const SizePrefix prefix ) const

inline

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

◆ update()

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

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

inline

Update the stored grid view & MultipleCodimMultipleGeomTypeMapper, to be called if the grid has changed.

Member Data Documentation

◆ gridView_

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

GridView Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::gridView_

protected

◆ mcmgMapper_

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

MultipleCodimMultipleGeomTypeMapper<GridView> Dune::Functions::HierarchicalLagrangePreBasis< GV, k, MI, R >::mcmgMapper_

protected

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

hierarchicallagrangebasis.hh

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

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

Member Typedef Documentation

◆ GridView

◆ IndexSet

◆ MultiIndex

◆ Node

◆ size_type

◆ SizePrefix

Constructor & Destructor Documentation

◆ HierarchicalLagrangePreBasis()

Member Function Documentation

◆ dimension()

◆ gridView()

◆ indices()

◆ initializeIndices()

◆ makeIndexSet()

◆ makeNode()

◆ maxNodeSize()

◆ order()

◆ size() [1/2]

◆ size() [2/2]

◆ update()

Member Data Documentation

◆ gridView_

◆ mcmgMapper_

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