dune-localfunctions
2.2.1
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Lagrange shape functions of arbitrary order on the reference tetrahedron. More...
#include <dune/localfunctions/lagrange/pk3d/pk3dlocalbasis.hh>
Public Types | |
enum | { N = (k+1)*(k+2)*(k+3)/6 } |
enum | { O = k } |
typedef LocalBasisTraits< D, 3, Dune::FieldVector< D, 3 > , R, 1, Dune::FieldVector< R, 1 > , Dune::FieldMatrix< R, 1, 3 > > | Traits |
Public Member Functions | |
Pk3DLocalBasis () | |
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... | |
unsigned int | order () const |
Polynomial order of the shape functions. More... | |
Lagrange shape functions of arbitrary order on the reference tetrahedron.
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,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,3> > Dune::Pk3DLocalBasis< D, R, k >::Traits |
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inline |
Standard constructor.
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inline |
Evaluate all shape functions.
References Dune::Pk3DLocalBasis< D, R, k >::N.
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inline |
Evaluate Jacobian of all shape functions.
References Dune::Pk3DLocalBasis< D, R, k >::N.
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inline |
Polynomial order of the shape functions.
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inline |
number of shape functions
References Dune::Pk3DLocalBasis< D, R, k >::N.