Dune::Functions::HierarchicalLagrangePreBasis< GV, k, 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.

Public Member Functions
	HierarchicalLagrangePreBasis (const GridView &gv)
	Constructor for a given grid view object with layout for second order.
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.
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.
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

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

• hierarchicallagrangebasis.hh