Dune::DualP1LocalBasis< D, R, dim, faceDualT > Class Template Reference

Dual Lagrange shape functions on the simplex. More...

#include <dune/localfunctions/dualmortarbasis/dualp1/dualp1localbasis.hh>

Inheritance diagram for Dune::DualP1LocalBasis< D, R, dim, faceDualT >:

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	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, 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.

Static Public Attributes
static const bool	faceDual = faceDualT
	Determines if the basis is only biorthogonal on adjacent faces.

Detailed Description

template<class D, class R, int dim, bool faceDualT = false>
class Dune::DualP1LocalBasis< D, R, dim, faceDualT >

Dual Lagrange shape functions on the simplex.

Defines the linear dual shape functions on the simplex. Note that if the dual functions are chosen to be dual on the faces, the integrated product of a Lagrange \(\lambda_p\) and dual function \(\theta_q\) over faces not containing \(q\) does in general not vanish.

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.
dim	The dimension of the simplex
faceDual	If set, the basis functions are bi-orthogonal only on faces containing the corresponding vertex.

Member Typedef Documentation

Traits

template<class D , class R , int dim, bool faceDualT = false>

typedef LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,dim> > Dune::DualP1LocalBasis< D, R, dim, faceDualT >::Traits

export type traits for function signature

Member Function Documentation

evaluateFunction()

template<class D , class R , int dim, bool faceDualT = false>

void Dune::DualP1LocalBasis< D, R, dim, faceDualT >::evaluateFunction ( const typename Traits::DomainType &  in, std::vector< typename Traits::RangeType > &  out  ) const

inline

Evaluate all shape functions.

evaluateJacobian()

template<class D , class R , int dim, bool faceDualT = false>

void Dune::DualP1LocalBasis< D, R, dim, faceDualT >::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 , int dim, bool faceDualT = false>

unsigned int Dune::DualP1LocalBasis< D, R, dim, faceDualT >::order ( ) const

inline

Polynomial order of the shape functions.

partial()

template<class D , class R , int dim, bool faceDualT = false>

void Dune::DualP1LocalBasis< D, R, dim, faceDualT >::partial ( const std::array< unsigned int, dim > &  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 , int dim, bool faceDualT = false>

unsigned int Dune::DualP1LocalBasis< D, R, dim, faceDualT >::size ( ) const

inline

number of shape functions

Member Data Documentation

faceDual

template<class D , class R , int dim, bool faceDualT = false>

const bool Dune::DualP1LocalBasis< D, R, dim, faceDualT >::faceDual = faceDualT

static

Determines if the basis is only biorthogonal on adjacent faces.

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

• dualp1localbasis.hh