Dune::RefinedP0LocalBasis< D, R, dim > Class Template Reference

Uniformly refined constant shape functions on a unit simplex in R^dim. More...

#include <dune/localfunctions/refined/refinedp0/refinedp0localbasis.hh>

Public Types
typedef LocalBasisTraits< D, dim, Dune::FieldVector< D, dim >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, dim > >	Traits
	export type traits for function signature

Public Member Functions
unsigned int	size () const
	number of shape functions
void	evaluateFunction (const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate all shape functions.
void	partial (const std::array< unsigned int, dim > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate partial derivatives of all shape functions.
unsigned int	order () const
	Polynomial order of the shape functions. More...

Detailed Description

template<class D, class R, int dim>
class Dune::RefinedP0LocalBasis< D, R, dim >

Uniformly refined constant shape functions on a unit simplex in R^dim.

This shape function set mimics the P0 shape functions that you would get on a uniformly refined grid. Hence these shape functions are only piecewise constant!

Shape functions like these are necessary for hierarchical error estimators for certain nonlinear problems.

The functions are associated with the subelements as defined in RefinedSimplexLocalBasis

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.
dim	Dimension of domain space

Member Function Documentation

order()

template<class D , class R , int dim>

unsigned int Dune::RefinedP0LocalBasis< D, R, dim >::order ( ) const

inline

Polynomial order of the shape functions.

Doesn't really apply: these shape functions are only piecewise constant

Referenced by Dune::RefinedP0LocalBasis< D, R, dim >::partial().

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

• dune/localfunctions/refined/refinedp0/refinedp0localbasis.hh