dune-localfunctions  2.2.1
Public Types | Public Member Functions | List of all members
Dune::Q22DLocalBasis< D, R > Class Template Reference

Lagrange shape functions of order 2 on the reference quadrilateral. More...

#include <dune/localfunctions/lagrange/q22d/q22dlocalbasis.hh>

Public Types

typedef LocalBasisTraits< D,
2, Dune::FieldVector< D, 2 >
, R, 1, Dune::FieldVector< R, 1 >
, Dune::FieldMatrix< R, 1, 2 > > 
Traits
 

Public Member Functions

unsigned int size () const
 number of shape functions More...
 
void evaluateFunction (const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
 Evaluate all shape functions. More...
 
void evaluateJacobian (const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
 Evaluate Jacobian of all shape functions. More...
 
unsigned int order () const
 Polynomial order of the shape functions. More...
 

Detailed Description

template<class D, class R>
class Dune::Q22DLocalBasis< D, R >

Lagrange shape functions of order 2 on the reference quadrilateral.

Also known as $Q^2$.

Template Parameters
DType to represent the field in the domain.
RType to represent the field in the range.

Member Typedef Documentation

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::Q22DLocalBasis< D, R >::Traits

Member Function Documentation

template<class D, class R>
void Dune::Q22DLocalBasis< D, R >::evaluateFunction ( const typename Traits::DomainType in,
std::vector< typename Traits::RangeType > &  out 
) const
inline

Evaluate all shape functions.

template<class D, class R>
void Dune::Q22DLocalBasis< D, R >::evaluateJacobian ( const typename Traits::DomainType in,
std::vector< typename Traits::JacobianType > &  out 
) const
inline

Evaluate Jacobian of all shape functions.

template<class D, class R>
unsigned int Dune::Q22DLocalBasis< D, R >::order ( ) const
inline

Polynomial order of the shape functions.

template<class D, class R>
unsigned int Dune::Q22DLocalBasis< D, R >::size ( ) const
inline

number of shape functions


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