Dune::HierarchicalSimplexP2LocalBasis< D, R, 1 > Class Template Reference

Hierarchical P2 basis in 1d. More...

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

Public Types
typedef LocalBasisTraits< D, 1, Dune::FieldVector< D, 1 >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, 1 > >	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, 1 > &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)

Detailed Description

template<class D, class R>
class Dune::HierarchicalSimplexP2LocalBasis< D, R, 1 >

Hierarchical P2 basis in 1d.

The shape functions are associated to the following points:

• \( f_0 \) ~ (0.0) // linear function
• \( f_1 \) ~ (1.0) // linear function
• \( f_2 \) ~ (0.5) // quadratic bubble

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,1,Dune::FieldVector<D,1>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,1> > Dune::HierarchicalSimplexP2LocalBasis< D, R, 1 >::Traits

export type traits for function signature

Member Function Documentation

evaluateFunction()

template<class D , class R >

void Dune::HierarchicalSimplexP2LocalBasis< D, R, 1 >::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, 1 >::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, 1 >::order ( ) const

inline

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

partial()

template<class D , class R >

void Dune::HierarchicalSimplexP2LocalBasis< D, R, 1 >::partial ( const std::array< unsigned int, 1 > &  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, 1 >::size ( ) const

inline

number of shape functions

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

• hierarchicalsimplexp2localbasis.hh