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...

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...

size_type	size () const
	Same as size(prefix) with empty prefix. More...

template<class SizePrefix >
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

Static Public Attributes
static constexpr size_type	maxMultiIndexSize = 1

static constexpr size_type	minMultiIndexSize = 1

static constexpr size_type	multiIndexBufferSize = 1

Protected Member Functions
unsigned int	order () const

Protected Attributes
GridView	gridView_

MultipleCodimMultipleGeomTypeMapper< GridView >	mcmgMapper_

Detailed Description

template<typename GV, int k, typename R>
class Dune::Functions::HierarchicalLagrangePreBasis< GV, k, 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)
R	Range type used for shape function values

Member Typedef Documentation

◆ GridView

template<typename GV , int k, typename R >

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

The grid view that the FE basis is defined on.

◆ Node

template<typename GV , int k, typename R >

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

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

◆ size_type

template<typename GV , int k, typename R >

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

Type used for indices and size information.

Constructor & Destructor Documentation

◆ HierarchicalLagrangePreBasis()

template<typename GV , int k, typename R >

Dune::Functions::HierarchicalLagrangePreBasis< GV, k, 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, typename R >

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

inline

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

◆ gridView()

template<typename GV , int k, typename R >

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

inline

Obtain the grid view that the basis is defined on.

◆ indices()

template<typename GV , int k, typename R >

template<typename It >

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

inline

◆ initializeIndices()

template<typename GV , int k, typename R >

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

inline

Initialize the global indices.

◆ makeNode()

template<typename GV , int k, typename R >

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

inline

Create tree node.

◆ maxNodeSize()

template<typename GV , int k, typename R >

size_type Dune::Functions::HierarchicalLagrangePreBasis< GV, k, 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, typename R >

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

inlineprotected

◆ size() [1/2]

template<typename GV , int k, typename R >

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

inline

Same as size(prefix) with empty prefix.

◆ size() [2/2]

template<typename GV , int k, typename R >

template<class SizePrefix >

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

inline

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

◆ update()

template<typename GV , int k, typename R >

void Dune::Functions::HierarchicalLagrangePreBasis< GV, k, 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, typename R >

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

protected

◆ maxMultiIndexSize

template<typename GV , int k, typename R >

constexpr size_type Dune::Functions::HierarchicalLagrangePreBasis< GV, k, R >::maxMultiIndexSize = 1

staticconstexpr

◆ mcmgMapper_

template<typename GV , int k, typename R >

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

protected

◆ minMultiIndexSize

template<typename GV , int k, typename R >

constexpr size_type Dune::Functions::HierarchicalLagrangePreBasis< GV, k, R >::minMultiIndexSize = 1

staticconstexpr

◆ multiIndexBufferSize

template<typename GV , int k, typename R >

constexpr size_type Dune::Functions::HierarchicalLagrangePreBasis< GV, k, R >::multiIndexBufferSize = 1

staticconstexpr

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

hierarchicallagrangebasis.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ GridView

◆ Node

◆ size_type

Constructor & Destructor Documentation

◆ HierarchicalLagrangePreBasis()

Member Function Documentation

◆ dimension()

◆ gridView()

◆ indices()

◆ initializeIndices()

◆ makeNode()

◆ maxNodeSize()

◆ order()

◆ size() [1/2]

◆ size() [2/2]

◆ update()

Member Data Documentation

◆ gridView_

◆ maxMultiIndexSize

◆ mcmgMapper_

◆ minMultiIndexSize

◆ multiIndexBufferSize