A pre-basis for a refined Lagrange bases. More...

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

Inheritance diagram for Dune::Functions::RefinedLagrangePreBasis< GV, k, R >:

Public Types
using	GridView = GV
	The grid view that the FE basis is defined on.
using	Node = RefinedLagrangeNode<GV, k, R>
	Type of the refined Lagrange tree node.
using	size_type = std::size_t
	Type used for index digits.

Public Member Functions
	RefinedLagrangePreBasis (const GridView &gv)
	Constructor for a given grid view object.
Node	makeNode () const
	Create tree node.
void	initializeIndices ()
	Initialize the global index information.
const GridView &	gridView () const
	Export the stored GridView.
void	update (const GridView &gv)
	Update the stored GridView.
size_type	dimension () const
	Return total number of basis functions.
size_type	maxNodeSize () const
	Return maximal number of basis functions per element.
template<class Node, class It>
It	indices (const Node &node, It it) const
	Fill cache with global indices of DOFs associated to the given bound node.
size_type	size (const SizePrefix &prefix) const
	Return number of possible values for next position in multi index.
auto	containerDescriptor () const
	Return a flat container-descriptor.

Static Public Member Functions
static constexpr unsigned int	order ()
	Polynomial order used in the local Lagrange finite-elements.

Static Public Attributes
static constexpr size_type	maxMultiIndexSize
	Maximal length of global multi-indices.
static constexpr size_type	minMultiIndexSize
	Minimal length of global multi-indices.
static constexpr size_type	multiIndexBufferSize
	Size required temporarily when constructing global multi-indices.

Protected Attributes
GridView	gridView_
Dune::MultipleCodimMultipleGeomTypeMapper< GridView >	mapper_
std::size_t	maxNodeSize_

Detailed Description

template<typename GV, int k, typename R = double>
class Dune::Functions::RefinedLagrangePreBasis< GV, k, R >

A pre-basis for a refined Lagrange bases.

Template Parameters

GV	The grid view that the FE basis is defined on
k	The polynomial order of ansatz functions
R	Range field-type used for shape function values

Note: This only works for simplex grids.

Member Typedef Documentation

◆ GridView

template<typename GV, int k, typename R = double>

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

The grid view that the FE basis is defined on.

◆ Node

template<typename GV, int k, typename R = double>

using Dune::Functions::RefinedLagrangePreBasis< GV, k, R >::Node = RefinedLagrangeNode<GV, k, R>

Type of the refined Lagrange tree node.

◆ size_type

template<typename GV>

using Dune::Functions::LeafPreBasisMapperMixin< GV >::size_type = std::size_t

inherited

Type used for index digits.

Constructor & Destructor Documentation

◆ RefinedLagrangePreBasis()

template<typename GV, int k, typename R = double>

Dune::Functions::RefinedLagrangePreBasis< GV, k, R >::RefinedLagrangePreBasis ( const GridView & gv )

inline

Constructor for a given grid view object.

Parameters

gv	The GridView the basis is defined on.

Exceptions

Dune::NotImplemented If an element of type !simplex is found.

Member Function Documentation

◆ containerDescriptor()

auto Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::containerDescriptor ( ) const

inlineinherited

Return a flat container-descriptor.

◆ dimension()

template<typename GV>

size_type Dune::Functions::LeafPreBasisMapperMixin< GV >::dimension ( ) const

inlineinherited

Return total number of basis functions.

◆ gridView()

template<typename GV>

const GridView & Dune::Functions::LeafPreBasisMapperMixin< GV >::gridView ( ) const

inlineinherited

Export the stored GridView.

◆ indices()

template<typename GV>

template<class Node, class It>

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

inlineinherited

Fill cache with global indices of DOFs associated to the given bound node.

◆ initializeIndices()

template<typename GV>

void Dune::Functions::LeafPreBasisMapperMixin< GV >::initializeIndices ( )

inlineinherited

Initialize the global index information.

◆ makeNode()

template<typename GV, int k, typename R = double>

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

inline

Create tree node.

◆ maxNodeSize()

template<typename GV>

size_type Dune::Functions::LeafPreBasisMapperMixin< GV >::maxNodeSize ( ) const

inlineinherited

Return maximal number of basis functions per element.

◆ order()

template<typename GV, int k, typename R = double>

constexpr unsigned int Dune::Functions::RefinedLagrangePreBasis< GV, k, R >::order ( )

inlinestaticconstexpr

Polynomial order used in the local Lagrange finite-elements.

Note: The local function is of order k only in subdomains of the element. It might be necessary to use a subdivided quadrature rule for integration.

◆ size()

size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::size ( const SizePrefix & prefix ) const

inlineinherited

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

◆ update()

template<typename GV>

void Dune::Functions::LeafPreBasisMapperMixin< GV >::update ( const GridView & gv )

inlineinherited

Update the stored GridView.

Member Data Documentation

◆ gridView_

template<typename GV>

GridView Dune::Functions::LeafPreBasisMapperMixin< GV >::gridView_

protectedinherited

◆ mapper_

template<typename GV>

Dune::MultipleCodimMultipleGeomTypeMapper<GridView> Dune::Functions::LeafPreBasisMapperMixin< GV >::mapper_

protectedinherited

◆ maxMultiIndexSize

size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::maxMultiIndexSize

staticconstexprinherited

Maximal length of global multi-indices.

◆ maxNodeSize_

template<typename GV>

std::size_t Dune::Functions::LeafPreBasisMapperMixin< GV >::maxNodeSize_

protectedinherited

◆ minMultiIndexSize

size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::minMultiIndexSize

staticconstexprinherited

Minimal length of global multi-indices.

◆ multiIndexBufferSize

size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::multiIndexBufferSize

staticconstexprinherited

Size required temporarily when constructing global multi-indices.

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

refinedlagrangebasis.hh

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ GridView

◆ Node

◆ size_type

Constructor & Destructor Documentation

◆ RefinedLagrangePreBasis()

Member Function Documentation

◆ containerDescriptor()

◆ dimension()

◆ gridView()

◆ indices()

◆ initializeIndices()

◆ makeNode()

◆ maxNodeSize()

◆ order()

◆ size()

◆ update()

Member Data Documentation

◆ gridView_

◆ mapper_

◆ maxMultiIndexSize

◆ maxNodeSize_

◆ minMultiIndexSize

◆ multiIndexBufferSize