DUNE-FEM (unstable)

Dune::HierarchicalSimplexP2LocalBasis< D, R, 1 > Class Template Reference

Hierarchical P2 basis in 1d. More...

#include <dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh>

Public Types

typedef LocalBasisTraits< D, 1, Dune::FieldVector< D, 1 >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, 1 > > 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, 1 > &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 (2, in this case)
 

Detailed Description

template<class D, class R>
class Dune::HierarchicalSimplexP2LocalBasis< D, R, 1 >

Hierarchical P2 basis in 1d.

The shape functions are associated to the following points:

  • \( f_0 \) ~ (0.0) // linear function
  • \( f_1 \) ~ (1.0) // linear function
  • \( f_2 \) ~ (0.5) // quadratic bubble
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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