Dune Core Modules (2.7.1)

Dune::DualP1LocalBasis< D, R, dim, faceDualT > Class Template Reference

Dual Lagrange shape functions on the simplex. More...

#include <dune/localfunctions/dualmortarbasis/dualp1/dualp1localbasis.hh>

Public Types

typedef LocalBasisTraits< D, dim, Dune::FieldVector< D, dim >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, dim > > Traits
 export type traits for function signature
 

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

Static Public Attributes

static const bool faceDual = faceDualT
 Determines if the basis is only biorthogonal on adjacent faces.
 

Detailed Description

template<class D, class R, int dim, bool faceDualT = false>
class Dune::DualP1LocalBasis< D, R, dim, faceDualT >

Dual Lagrange shape functions on the simplex.

Defines the linear dual shape functions on the simplex. Note that if the dual functions are chosen to be dual on the faces, the integrated product of a Lagrange \(\lambda_p\) and dual function \(\theta_q\) over faces not containing \(q\) does in general not vanish.

Template Parameters
DType to represent the field in the domain.
RType to represent the field in the range.
dimThe dimension of the simplex
faceDualIf set, the basis functions are bi-orthogonal only on faces containing the corresponding vertex.

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