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 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.
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.

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.

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

• dune/functions/functionspacebases/lagrangebasis.hh