Dune::HierarchicalSimplexP2LocalBasis< D, R, 2 > Class Template Reference

Hierarchical P2 basis in 2d. More...

#include <dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh>

List of all members.

Public Types

typedef LocalBasisTraits< D,
2, Dune::FieldVector< D, 2 >
, R, 1, Dune::FieldVector< R, 1 >
, Dune::FieldMatrix< R, 1, 2 > > 
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 evaluateJacobian (const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
 Evaluate Jacobian of all shape functions.
unsigned int order () const
 Polynomial order of the shape functions (2 in this case).

Detailed Description

template<class D, class R>
class Dune::HierarchicalSimplexP2LocalBasis< D, R, 2 >

Hierarchical P2 basis in 2d.

The shape functions are associated to the following points:

The functions are associated to points by:

f_0 ~ (0.0, 0.0) f_1 ~ (0.5, 0.0) f_2 ~ (1.0, 0.0) f_3 ~ (0.0, 0.5) f_4 ~ (0.5, 0.5) f_5 ~ (0.0, 1.0)

Template Parameters:
D Type to represent the field in the domain.
R Type to represent the field in the range.

Member Typedef Documentation

template<class D , class R >
typedef LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,2> > Dune::HierarchicalSimplexP2LocalBasis< D, R, 2 >::Traits

export type traits for function signature


Member Function Documentation

template<class D , class R >
void Dune::HierarchicalSimplexP2LocalBasis< D, R, 2 >::evaluateFunction ( const typename Traits::DomainType in,
std::vector< typename Traits::RangeType > &  out 
) const [inline]

Evaluate all shape functions.

template<class D , class R >
void Dune::HierarchicalSimplexP2LocalBasis< D, R, 2 >::evaluateJacobian ( const typename Traits::DomainType in,
std::vector< typename Traits::JacobianType > &  out 
) const [inline]

Evaluate Jacobian of all shape functions.

template<class D , class R >
unsigned int Dune::HierarchicalSimplexP2LocalBasis< D, R, 2 >::order (  )  const [inline]

Polynomial order of the shape functions (2 in this case).

template<class D , class R >
unsigned int Dune::HierarchicalSimplexP2LocalBasis< D, R, 2 >::size (  )  const [inline]

number of shape functions


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

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