Dune Core Modules (2.6.0)

Dune::PyramidP2LocalBasis< D, R > Class Template Reference

Quadratic Lagrange shape functions on the pyramid. More...

#include <dune/localfunctions/lagrange/pyramidp2/pyramidp2localbasis.hh>

Public Types

typedef LocalBasisTraits< D, 3, Dune::FieldVector< D, 3 >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, 3 > > 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, 3 > &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::PyramidP2LocalBasis< D, R >

Quadratic Lagrange shape functions on the pyramid.

Defines the quadratic shape functions on pyramid. Taken from Liping Liu, Kevin B. Davies, Michal Krizek, and Li Guan: On Higher Order Pyramidal Finite Elements Adv. Appl. Math. Mech., Vol. 3, No. 2, pp. 131-140, 2011

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

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