dune-localfunctions 2.10
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Public Types | Public Member Functions | List of all members
Dune::RT4Cube2DLocalBasis< D, R > Class Template Reference

Second order Raviart-Thomas shape functions on the reference quadrilateral. More...

#include <dune/localfunctions/raviartthomas/raviartthomas4cube2d/raviartthomas4cube2dlocalbasis.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

 RT4Cube2DLocalBasis (std::bitset< 4 > s=0)
 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::RT4Cube2DLocalBasis< D, R >

Second order Raviart-Thomas shape functions on the reference quadrilateral.

Template Parameters
DType to represent the field in the domain.
RType 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::RT4Cube2DLocalBasis< D, R >::Traits

Constructor & Destructor Documentation

◆ RT4Cube2DLocalBasis()

template<class D , class R >
Dune::RT4Cube2DLocalBasis< D, R >::RT4Cube2DLocalBasis ( std::bitset< 4 >  s = 0)
inline

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

Parameters
sEdge orientation indicator

Member Function Documentation

◆ evaluateFunction()

template<class D , class R >
void Dune::RT4Cube2DLocalBasis< D, R >::evaluateFunction ( const typename Traits::DomainType in,
std::vector< typename Traits::RangeType > &  out 
) const
inline

Evaluate all shape functions.

Parameters
inPosition
outreturn value

◆ evaluateJacobian()

template<class D , class R >
void Dune::RT4Cube2DLocalBasis< D, R >::evaluateJacobian ( const typename Traits::DomainType in,
std::vector< typename Traits::JacobianType > &  out 
) const
inline

Evaluate Jacobian of all shape functions.

Parameters
inPosition
outreturn value

◆ order()

template<class D , class R >
unsigned int Dune::RT4Cube2DLocalBasis< D, R >::order ( ) const
inline

Polynomial order of the shape functions.

◆ partial()

template<class D , class R >
void Dune::RT4Cube2DLocalBasis< 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::RT4Cube2DLocalBasis< D, R >::size ( ) const
inline

number of shape functions


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