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

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

#include <dune/functions/functionspacebases/lagrangebasis.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 = 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 order)
	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	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.
unsigned int	order () const
	Polynomial order used in the local Lagrange finite-elements.

Protected Member Functions
size_type	dofsPerSimplex (std::size_t simplexDim) const
	Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!)
size_type	dofsPerCube (std::size_t cubeDim) const
	Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!)
size_type	computeDofsPerSimplex (std::size_t simplexDim) const
	Number of degrees of freedom assigned to a simplex (without the ones assigned to its faces!)
size_type	computeDofsPerCube (std::size_t cubeDim) const
	Number of degrees of freedom assigned to a cube (without the ones assigned to its faces!)

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

This only works for certain grids. The following restrictions hold

• If k is no larger than 2, then the grids can have any dimension
• If k is larger than 3 then the grid must be two-dimensional
• If k is 3, then the grid can be 3d if it is a simplex grid

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

• dune/functions/functionspacebases/lagrangebasis.hh