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

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

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

using	GridView = typename SPB::GridView
	The grid view that the FE basis is defined on.

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

using	IndexMergingStrategy = IMS
	Strategy used to merge the global indices of the child factories.

using	SubNode = typename SubPreBasis::Node

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

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

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.

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

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

template<typename It >
It	indices (const Node &node, It it) const
	Maps from subtree index set [0..size-1] to a globally unique multi index in global basis.

Static Public Attributes
static constexpr size_type	maxMultiIndexSize = SubPreBasis::maxMultiIndexSize + isBlocked

static constexpr size_type	minMultiIndexSize = SubPreBasis::minMultiIndexSize + isBlocked

static constexpr size_type	multiIndexBufferSize = SubPreBasis::multiIndexBufferSize + isBlocked

Detailed Description

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

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 IMS , class SPB , std::size_t C>

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

The grid view that the FE basis is defined on.

◆ IndexMergingStrategy

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

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

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

◆ Node

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

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

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

◆ size_type

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

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

Type used for indices and size information.

◆ SubNode

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

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

◆ SubPreBasis

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

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

The child pre-basis.

Constructor & Destructor Documentation

◆ PowerPreBasis()

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

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

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

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

inline

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

◆ gridView()

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

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

inline

Obtain the grid view that the basis is defined on.

◆ indices()

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

template<typename It >

It Dune::Functions::PowerPreBasis< IMS, SPB, C >::indices	(	const Node &	node,
		It	it
	)		const

inline

Maps from subtree index set [0..size-1] to a globally unique multi index in global basis.

◆ initializeIndices()

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

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

inline

Initialize the global indices.

◆ makeNode()

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

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

inline

Create tree node.

◆ maxNodeSize()

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

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

inline

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

◆ size() [1/2]

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

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

inline

Same as size(prefix) with empty prefix.

◆ size() [2/2]

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

template<class SizePrefix >

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

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

inline

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

◆ subPreBasis() [2/2]

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

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

inline

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

◆ update()

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

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

inline

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

Member Data Documentation

◆ maxMultiIndexSize

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

constexpr size_type Dune::Functions::PowerPreBasis< IMS, SPB, C >::maxMultiIndexSize = SubPreBasis::maxMultiIndexSize + isBlocked

staticconstexpr

◆ minMultiIndexSize

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

constexpr size_type Dune::Functions::PowerPreBasis< IMS, SPB, C >::minMultiIndexSize = SubPreBasis::minMultiIndexSize + isBlocked

staticconstexpr

◆ multiIndexBufferSize

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

constexpr size_type Dune::Functions::PowerPreBasis< IMS, SPB, C >::multiIndexBufferSize = SubPreBasis::multiIndexBufferSize + isBlocked

staticconstexpr

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

powerbasis.hh

Public Types

Public Member Functions

Static Public Attributes

Detailed Description

Member Typedef Documentation

◆ GridView

◆ IndexMergingStrategy

◆ Node

◆ size_type

◆ SubNode

◆ SubPreBasis

Constructor & Destructor Documentation

◆ PowerPreBasis()

Member Function Documentation

◆ dimension()

◆ gridView()

◆ indices()

◆ initializeIndices()

◆ makeNode()

◆ maxNodeSize()

◆ size() [1/2]

◆ size() [2/2]

◆ subPreBasis() [1/2]

◆ subPreBasis() [2/2]

◆ update()

Member Data Documentation

◆ maxMultiIndexSize

◆ minMultiIndexSize

◆ multiIndexBufferSize