dune-localfunctions
2.4.1
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Lagrange shape functions of arbitrary order on the reference triangle. More...
#include <dune/localfunctions/lagrange/pk2d/pk2dlocalbasis.hh>
Public Types | |
enum | { N = (k+1)*(k+2)/2 } |
Export the number of degrees of freedom. More... | |
enum | { O = k } |
Export the element order OS: Surprising that we need to export this both statically and dynamically! More... | |
typedef LocalBasisTraits< D, 2, Dune::FieldVector< D, 2 >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, 2 >, 2 > | Traits |
Public Member Functions | |
Pk2DLocalBasis () | |
Standard constructor. More... | |
unsigned int | size () const |
number of shape functions More... | |
void | evaluateFunction (const typename Traits::DomainType &x, std::vector< typename Traits::RangeType > &out) const |
Evaluate all shape functions. More... | |
void | evaluateJacobian (const typename Traits::DomainType &x, std::vector< typename Traits::JacobianType > &out) const |
Evaluate Jacobian of all shape functions. More... | |
template<unsigned int dOrder> | |
void | evaluate (const std::array< int, dOrder > &directions, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const |
Evaluate higher derivatives of all shape functions. More... | |
unsigned int | order () const |
Polynomial order of the shape functions. More... | |
Lagrange shape functions of arbitrary order on the reference triangle.
Lagrange shape functions of arbitrary order have the property that for certain points
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D | Type to represent the field in the domain. |
R | Type to represent the field in the range. |
k | Polynomial order. |
typedef LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,2>, 2 > Dune::Pk2DLocalBasis< D, R, k >::Traits |
anonymous enum |
anonymous enum |
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inline |
Standard constructor.
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Evaluate higher derivatives of all shape functions.
References Dune::LocalBasisTraits< DF, n, D, RF, m, R, J, dorder >::diffOrder, Dune::Pk2DLocalBasis< D, R, k >::evaluateFunction(), and Dune::Pk2DLocalBasis< D, R, k >::N.
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Evaluate all shape functions.
References Dune::Pk2DLocalBasis< D, R, k >::N.
Referenced by Dune::Pk2DLocalBasis< D, R, k >::evaluate().
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Evaluate Jacobian of all shape functions.
References Dune::Pk2DLocalBasis< D, R, k >::N.
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inline |
Polynomial order of the shape functions.
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number of shape functions
References Dune::Pk2DLocalBasis< D, R, k >::N.