dune-localfunctions  2.5-git
Public Types | Public Member Functions | List of all members
Dune::Q1LocalBasis< D, R, dim > Class Template Reference

Lagrange shape functions of order 1 on the reference cube. More...

#include <dune/localfunctions/lagrange/q1/q1localbasis.hh>

Inheritance diagram for Dune::Q1LocalBasis< D, R, dim >:
Inheritance graph

Public Types

typedef LocalBasisTraits< D, dim, Dune::FieldVector< D, dim >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, dim > > 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...
 
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 any order of all shape functions. More...
 
unsigned int order () const
 Polynomial order of the shape functions. More...
 

Detailed Description

template<class D, class R, int dim>
class Dune::Q1LocalBasis< D, R, dim >

Lagrange shape functions of order 1 on the reference cube.

Also known as $Q^1$.

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

Member Typedef Documentation

§ Traits

template<class D, class R, int dim>
typedef LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,dim> > Dune::Q1LocalBasis< D, R, dim >::Traits

Member Function Documentation

§ evaluateFunction()

template<class D, class R, int dim>
void Dune::Q1LocalBasis< D, R, dim >::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>
void Dune::Q1LocalBasis< D, R, dim >::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>
unsigned int Dune::Q1LocalBasis< D, R, dim >::order ( ) const
inline

Polynomial order of the shape functions.

§ partial()

template<class D, class R, int dim>
void Dune::Q1LocalBasis< D, R, dim >::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 any order of all shape functions.

Parameters
orderOrder of the partial derivatives, in the classic multi-index notation
inPosition where to evaluate the derivatives
[out]outReturn value: the desired partial derivatives

§ size()

template<class D, class R, int dim>
unsigned int Dune::Q1LocalBasis< D, R, dim >::size ( ) const
inline

number of shape functions


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