A pre-basis for a PQ-lagrange bases with given order. More...

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

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

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 = LagrangeNode< GV, k, R >
	Template mapping root tree path to type of created tree node.

Public Member Functions
	LagrangePreBasis (const GridView &gv)
	Constructor for a given grid view object with compile-time order.

	LagrangePreBasis (const GridView &gv, unsigned int runTimeOrder)
	Constructor for a given grid view object and run-time 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, to be called if the grid has changed.

Node	makeNode () const
	Create tree node.

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<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.

size_type	size (const SizePrefix &prefix) const
	Return number of possible values for next position in multi index.

size_type	size () const
	Get the total dimension of the space spanned by this basis.

auto	containerDescriptor () const
	Return a flat container-descriptor.

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_

unsigned int	order_

Dune::MultipleCodimMultipleGeomTypeMapper< GridView >	mapper_

FaceDOFPermutation	faceDOFPermutation_

Detailed Description

template<typename GV, int k, typename R>
class Dune::Functions::LagrangePreBasis< GV, k, R >

A pre-basis for a PQ-lagrange bases with given order.

Template Parameters

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

Note: For 3d grids the order is limited to 2 if the grid contains prism and pyramid elements, otherwise to 17. For all grids in 1d and 2d any order is supported.

Warning: For pyramid elements in 3d, the shape functions are piecewise polynomials with discontinuous gradients along the diagonal through the origin.

Member Typedef Documentation

◆ GridView

template<typename GV , int k, typename R >

using Dune::Functions::LagrangePreBasis< 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::LagrangePreBasis< GV, k, R >::Node = LagrangeNode<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::LagrangePreBasis< GV, k, R >::size_type = std::size_t

Type used for indices and size information.

Constructor & Destructor Documentation

◆ LagrangePreBasis() [1/2]

template<typename GV , int k, typename R >

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

inline

Constructor for a given grid view object with compile-time order.

◆ LagrangePreBasis() [2/2]

template<typename GV , int k, typename R >

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

inline

Constructor for a given grid view object and run-time order.

Member Function Documentation

◆ containerDescriptor()

auto Dune::Functions::LeafPreBasisMixin< LagrangePreBasis< GV, k, R > >::containerDescriptor ( ) const

inlineinherited

Return a flat container-descriptor.

◆ dimension()

template<typename GV , int k, typename R >

size_type Dune::Functions::LagrangePreBasis< 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::LagrangePreBasis< 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<class Node , class It >

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

inline

◆ initializeIndices()

template<typename GV , int k, typename R >

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

inline

Initialize the global indices.

◆ makeNode()

template<typename GV , int k, typename R >

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

inline

Create tree node.

◆ maxNodeSize()

template<typename GV , int k, typename R >

size_type Dune::Functions::LagrangePreBasis< GV, k, R >::maxNodeSize ( ) const

inline

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

◆ order()

template<typename GV , int k, typename R >

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

inline

Polynomial order used in the local Lagrange finite-elements.

◆ size() [1/2]

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

inlineinherited

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

◆ size() [2/2]

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

inlineinherited

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

◆ update()

template<typename GV , int k, typename R >

void Dune::Functions::LagrangePreBasis< GV, k, R >::update ( const GridView & gv )

inline

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

Member Data Documentation

◆ faceDOFPermutation_

template<typename GV , int k, typename R >

FaceDOFPermutation Dune::Functions::LagrangePreBasis< GV, k, R >::faceDOFPermutation_

protected

◆ gridView_

template<typename GV , int k, typename R >

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

protected

◆ mapper_

template<typename GV , int k, typename R >

Dune::MultipleCodimMultipleGeomTypeMapper<GridView> Dune::Functions::LagrangePreBasis< GV, k, R >::mapper_

protected

◆ maxMultiIndexSize

constexpr size_type Dune::Functions::LeafPreBasisMixin< LagrangePreBasis< GV, k, R > >::maxMultiIndexSize

staticconstexprinherited

Maximal length of global multi-indices.

◆ minMultiIndexSize

constexpr size_type Dune::Functions::LeafPreBasisMixin< LagrangePreBasis< GV, k, R > >::minMultiIndexSize

staticconstexprinherited

Minimal length of global multi-indices.

◆ multiIndexBufferSize

constexpr size_type Dune::Functions::LeafPreBasisMixin< LagrangePreBasis< GV, k, R > >::multiIndexBufferSize

staticconstexprinherited

Size required temporarily when constructing global multi-indices.

◆ order_

template<typename GV , int k, typename R >

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

protected

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

lagrangebasis.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ GridView

◆ Node

◆ size_type

Constructor & Destructor Documentation

◆ LagrangePreBasis() [1/2]

◆ LagrangePreBasis() [2/2]

Member Function Documentation

◆ containerDescriptor()

◆ dimension()

◆ gridView()

◆ indices()

◆ initializeIndices()

◆ makeNode()

◆ maxNodeSize()

◆ order()

◆ size() [1/2]

◆ size() [2/2]

◆ update()

Member Data Documentation

◆ faceDOFPermutation_

◆ gridView_

◆ mapper_

◆ maxMultiIndexSize

◆ minMultiIndexSize

◆ multiIndexBufferSize

◆ order_