Dune::Functions::RefinedLagrangePreBasis< GV, k, R > Class Template Reference

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

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

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

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.

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.

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

order()

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

static 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.

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

• dune/functions/functionspacebases/refinedlagrangebasis.hh