PreBasis implementation for a Lagrangean-DG finite element space. More...

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

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

Public Types
using	GridView = GV
	The grid view that the FE space is defined on.
using	size_type = typename Base::size_type
using	Node = LagrangeDGNode<GV, k, R>

Public Member Functions
	LagrangeDGPreBasis (const GridView &gv)
	Constructor for a given grid view object.
	LagrangeDGPreBasis (const GridView &gv, unsigned int order)
	Constructor for a given grid view object.
Node	makeNode () const
	Create tree node.
template<class Node, class It>
It	indices (const Node &node, It it) const
unsigned int	order () const
	Polynomial order used in the local Lagrange finite-elements.
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 Attributes
static const int	dofsPerEdge = k+1
static const int	dofsPerTriangle = (k+1)*(k+2)/2
static const int	dofsPerQuad = (k+1)*(k+1)
static const int	dofsPerTetrahedron = (k+1)(k+2)(k+3)/6
static const int	dofsPerPrism = (k+1)(k+1)(k+2)/2
static const int	dofsPerHexahedron = (k+1)(k+1)(k+1)
static const int	dofsPerPyramid = (k+1)(k+2)(2*k+3)/6
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
unsigned int	order_
GridView	gridView_
Dune::MultipleCodimMultipleGeomTypeMapper< GridView >	mapper_
std::size_t	maxNodeSize_

Detailed Description

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

PreBasis implementation for a Lagrangean-DG finite element space.

Template Parameters

GV	The grid view that the FE basis is defined on
k	The order of ansatz functions; -1 means 'order determined at run-time'
R	Range type used for shape function values

Member Typedef Documentation

◆ GridView

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

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

The grid view that the FE space is defined on.

◆ Node

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

using Dune::Functions::LagrangeDGPreBasis< GV, k, R >::Node = LagrangeDGNode<GV, k, R>

◆ size_type

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

using Dune::Functions::LagrangeDGPreBasis< GV, k, R >::size_type = typename Base::size_type

Constructor & Destructor Documentation

◆ LagrangeDGPreBasis() [1/2]

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

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

inline

Constructor for a given grid view object.

This constructor requires that the order is given at compile-time using k>=0

◆ LagrangeDGPreBasis() [2/2]

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

Dune::Functions::LagrangeDGPreBasis< GV, k, R >::LagrangeDGPreBasis	(	const GridView &	gv,
		unsigned int	order )

inline

Constructor for a given grid view object.

This constructor has to be used to set the order dynamically which is enables using k<0.

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() [1/2]

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

template<class Node, class It>

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

inline

◆ indices() [2/2]

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::LagrangeDGPreBasis< 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>

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

inline

Polynomial order used in the local Lagrange finite-elements.

◆ 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

◆ dofsPerEdge

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

const int Dune::Functions::LagrangeDGPreBasis< GV, k, R >::dofsPerEdge = k+1

static

◆ dofsPerHexahedron

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

const int Dune::Functions::LagrangeDGPreBasis< GV, k, R >::dofsPerHexahedron = (k+1)*(k+1)*(k+1)

static

◆ dofsPerPrism

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

const int Dune::Functions::LagrangeDGPreBasis< GV, k, R >::dofsPerPrism = (k+1)*(k+1)*(k+2)/2

static

◆ dofsPerPyramid

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

const int Dune::Functions::LagrangeDGPreBasis< GV, k, R >::dofsPerPyramid = (k+1)*(k+2)*(2*k+3)/6

static

◆ dofsPerQuad

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

const int Dune::Functions::LagrangeDGPreBasis< GV, k, R >::dofsPerQuad = (k+1)*(k+1)

static

◆ dofsPerTetrahedron

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

const int Dune::Functions::LagrangeDGPreBasis< GV, k, R >::dofsPerTetrahedron = (k+1)*(k+2)*(k+3)/6

static

◆ dofsPerTriangle

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

const int Dune::Functions::LagrangeDGPreBasis< GV, k, R >::dofsPerTriangle = (k+1)*(k+2)/2

static

◆ 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.

◆ order_

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

unsigned int Dune::Functions::LagrangeDGPreBasis< GV, k, R >::order_

protected

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

lagrangedgbasis.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ GridView

◆ Node

◆ size_type

Constructor & Destructor Documentation

◆ LagrangeDGPreBasis() [1/2]

◆ LagrangeDGPreBasis() [2/2]

Member Function Documentation

◆ containerDescriptor()

◆ dimension()

◆ gridView()

◆ indices() [1/2]

◆ indices() [2/2]

◆ initializeIndices()

◆ makeNode()

◆ maxNodeSize()

◆ order()

◆ size()

◆ update()

Member Data Documentation

◆ dofsPerEdge

◆ dofsPerHexahedron

◆ dofsPerPrism

◆ dofsPerPyramid

◆ dofsPerQuad

◆ dofsPerTetrahedron

◆ dofsPerTriangle

◆ gridView_

◆ mapper_

◆ maxMultiIndexSize

◆ maxNodeSize_

◆ minMultiIndexSize

◆ multiIndexBufferSize

◆ order_