Dune::BDM2Cube2DLocalBasis< D, R > Class Template Reference

First order Brezzi-Douglas-Marini shape functions on quadrilaterals. More...

#include <dune/localfunctions/brezzidouglasmarini/brezzidouglasmarini2cube2d/brezzidouglasmarini2cube2dlocalbasis.hh>

Public Types
typedef LocalBasisTraits< D, 2, Dune::FieldVector< D, 2 >, R, 2, Dune::FieldVector< R, 2 >, Dune::FieldMatrix< R, 2, 2 > >	Traits

Public Member Functions
	BDM2Cube2DLocalBasis ()
	Standard constructor.
	BDM2Cube2DLocalBasis (std::bitset< 4 > s)
	Make set number s, where 0 <= s < 16.
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.

Detailed Description

template<class D, class R>
class Dune::BDM2Cube2DLocalBasis< D, R >

First order Brezzi-Douglas-Marini shape functions on quadrilaterals.

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,2,Dune::FieldVector<R,2>, Dune::FieldMatrix<R,2,2> > Dune::BDM2Cube2DLocalBasis< D, R >::Traits

Constructor & Destructor Documentation

BDM2Cube2DLocalBasis() [1/2]

template<class D , class R >

Dune::BDM2Cube2DLocalBasis< D, R >::BDM2Cube2DLocalBasis ( )

inline

Standard constructor.

BDM2Cube2DLocalBasis() [2/2]

template<class D , class R >

Dune::BDM2Cube2DLocalBasis< D, R >::BDM2Cube2DLocalBasis ( std::bitset< 4 >  s )

inline

Make set number s, where 0 <= s < 16.

Parameters

s	Edge orientation indicator

Member Function Documentation

evaluateFunction()

template<class D , class R >

void Dune::BDM2Cube2DLocalBasis< D, R >::evaluateFunction ( const typename Traits::DomainType &  in, std::vector< typename Traits::RangeType > &  out  ) const

inline

Evaluate all shape functions.

Parameters

in	Position
out	return value

evaluateJacobian()

template<class D , class R >

void Dune::BDM2Cube2DLocalBasis< D, R >::evaluateJacobian ( const typename Traits::DomainType &  in, std::vector< typename Traits::JacobianType > &  out  ) const

inline

Evaluate Jacobian of all shape functions.

Parameters

in	Position
out	return value

order()

template<class D , class R >

unsigned int Dune::BDM2Cube2DLocalBasis< D, R >::order ( ) const

inline

Polynomial order of the shape functions.

partial()

template<class D , class R >

void Dune::BDM2Cube2DLocalBasis< D, R >::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::BDM2Cube2DLocalBasis< D, R >::size ( ) const

inline

number of shape functions

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

• brezzidouglasmarini2cube2dlocalbasis.hh