Dune Core Modules (2.6.0)

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>

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 any order of all shape functions. More...
 
unsigned int order () const
 Polynomial order of the shape functions.
 

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
\nosubgrouping

Member Function Documentation

◆ 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

References Dune::Hybrid::accumulate(), DUNE_THROW, Dune::Q1LocalBasis< D, R, dim >::evaluateFunction(), Dune::Q1LocalBasis< D, R, dim >::order(), and Dune::Q1LocalBasis< D, R, dim >::size().


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