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

Hierarchical P2 basis in 2d. More...

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

Inheritance diagram for Dune::HierarchicalSimplexP2LocalBasis< D, R, 2 >:

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.
void	partial (const std::array< unsigned int, 2 > &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 (2 in this case).
	HierarchicalSimplexP2LocalBasis ()

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:

• ~ (0.0, 0.0)
• ~ (0.5, 0.0)
• ~ (1.0, 0.0)
• ~ (0.0, 0.5)
• ~ (0.5, 0.5)
• ~ (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

Traits

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

Constructor & Destructor Documentation

HierarchicalSimplexP2LocalBasis()

Dune::HierarchicalSimplexP2LocalBasis< D, R, dim >::HierarchicalSimplexP2LocalBasis ( )

inline

Member Function Documentation

evaluateFunction()

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.

evaluateJacobian()

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.

order()

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).

partial()

template<class D, class R>

void Dune::HierarchicalSimplexP2LocalBasis< D, R, 2 >::partial ( const std::array< unsigned int, 2 > & order, const typename Traits::DomainType & in, std::vector< typename Traits::RangeType > & out ) const

inline

Evaluate partial derivatives of all shape functions.

size()

template<class D, class R>

unsigned int Dune::HierarchicalSimplexP2LocalBasis< D, R, 2 >::size ( ) const

inline

number of shape functions

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

• hierarchicalsimplexp2localbasis.hh