A pre-basis for power bases. More...

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

Public Types
using	SubPreBasis = SPB
	The child pre-basis. More...

using	GridView = typename SPB::GridView
	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	IndexMergingStrategy = IMS
	Strategy used to merge the global indices of the child factories. More...

using	SubNode = typename SubPreBasis::Node

using	SubIndexSet = typename SubPreBasis::IndexSet

using	Node = PowerBasisNode< SubNode, children >
	Template mapping root tree path to type of created tree node. More...

using	IndexSet = PowerNodeIndexSet< PowerPreBasis, IMS >
	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, MultiIndex::max_size()>
	Type used for prefixes handed to the size() method. More...

Public Member Functions
template<class... SFArgs, disableCopyMove< PowerPreBasis, SFArgs... > = 0, enableIfConstructible< SubPreBasis, SFArgs... > = 0>
	PowerPreBasis (SFArgs &&... sfArgs)
	Constructor for given child pre-basis objects. 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...

const SubPreBasis &	subPreBasis () const
	Const access to the stored prebasis of the factor in the power space. More...

SubPreBasis &	subPreBasis ()
	Mutable access to the stored prebasis of the factor in the power space. More...

Detailed Description

template<class MI, class IMS, class SPB, std::size_t C>
class Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >

A pre-basis for power bases.

This pre-basis represents a power of a given pre-basis. Its node type is a PowerBasisNodes for the given subnode.

Template Parameters

MI	Type to be used for multi-indices
IMS	An IndexMergingStrategy used to merge the global indices of the child factories
SPB	The child pre-basis
C	The exponent of the power node

Member Typedef Documentation

◆ GridView

template<class MI , class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::GridView = typename SPB::GridView

The grid view that the FE basis is defined on.

◆ IndexMergingStrategy

template<class MI , class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::IndexMergingStrategy = IMS

Strategy used to merge the global indices of the child factories.

◆ IndexSet

template<class MI , class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::IndexSet = PowerNodeIndexSet<PowerPreBasis, IMS>

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

◆ MultiIndex

template<class MI , class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::MultiIndex = MI

Type used for global numbering of the basis vectors.

◆ Node

template<class MI , class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::Node = PowerBasisNode<SubNode, children>

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

◆ size_type

template<class MI , class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::size_type = std::size_t

Type used for indices and size information.

◆ SizePrefix

template<class MI , class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::SizePrefix = Dune::ReservedVector<size_type, MultiIndex::max_size()>

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

◆ SubIndexSet

template<class MI , class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::SubIndexSet = typename SubPreBasis::IndexSet

◆ SubNode

template<class MI , class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::SubNode = typename SubPreBasis::Node

◆ SubPreBasis

template<class MI , class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::SubPreBasis = SPB

The child pre-basis.

Constructor & Destructor Documentation

◆ PowerPreBasis()

template<class MI , class IMS , class SPB , std::size_t C>

template<class... SFArgs, disableCopyMove< PowerPreBasis, SFArgs... > = 0, enableIfConstructible< SubPreBasis, SFArgs... > = 0>

Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::PowerPreBasis ( SFArgs &&... sfArgs )

inline

Constructor for given child pre-basis objects.

The child factories will be stored as copies

Member Function Documentation

◆ dimension()

template<class MI , class IMS , class SPB , std::size_t C>

size_type Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::dimension ( ) const

inline

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

◆ gridView()

template<class MI , class IMS , class SPB , std::size_t C>

const GridView& Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::gridView ( ) const

inline

Obtain the grid view that the basis is defined on.

◆ initializeIndices()

template<class MI , class IMS , class SPB , std::size_t C>

void Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::initializeIndices ( )

inline

Initialize the global indices.

◆ makeIndexSet()

template<class MI , class IMS , class SPB , std::size_t C>

IndexSet Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::makeIndexSet ( ) const

inline

Create tree node index set.

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

◆ makeNode()

template<class MI , class IMS , class SPB , std::size_t C>

Node Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::makeNode ( ) const

inline

Create tree node.

◆ maxNodeSize()

template<class MI , class IMS , class SPB , std::size_t C>

size_type Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::maxNodeSize ( ) const

inline

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

◆ size() [1/2]

template<class MI , class IMS , class SPB , std::size_t C>

size_type Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::size ( ) const

inline

Same as size(prefix) with empty prefix.

◆ size() [2/2]

template<class MI , class IMS , class SPB , std::size_t C>

size_type Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::size ( const SizePrefix & prefix ) const

inline

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

◆ subPreBasis() [1/2]

template<class MI , class IMS , class SPB , std::size_t C>

SubPreBasis& Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::subPreBasis ( )

inline

Mutable access to the stored prebasis of the factor in the power space.

◆ subPreBasis() [2/2]

template<class MI , class IMS , class SPB , std::size_t C>

const SubPreBasis& Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::subPreBasis ( ) const

inline

Const access to the stored prebasis of the factor in the power space.

◆ update()

template<class MI , class IMS , class SPB , std::size_t C>

void Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >::update ( const GridView & gv )

inline

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

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

powerbasis.hh

Public Types

Public Member Functions

Detailed Description

template<class MI, class IMS, class SPB, std::size_t C> class Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >

Member Typedef Documentation

◆ GridView

◆ IndexMergingStrategy

◆ IndexSet

◆ MultiIndex

◆ Node

◆ size_type

◆ SizePrefix

◆ SubIndexSet

◆ SubNode

◆ SubPreBasis

Constructor & Destructor Documentation

◆ PowerPreBasis()

Member Function Documentation

◆ dimension()

◆ gridView()

◆ initializeIndices()

◆ makeIndexSet()

◆ makeNode()

◆ maxNodeSize()

◆ size() [1/2]

◆ size() [2/2]

◆ subPreBasis() [1/2]

◆ subPreBasis() [2/2]

◆ update()

template<class MI, class IMS, class SPB, std::size_t C>
class Dune::Functions::PowerPreBasis< MI, IMS, SPB, C >