dune-localfunctions
2.5-git
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Lagrange shape functions of order k on the reference cube. More...
#include <dune/localfunctions/lagrange/qk/qklocalbasis.hh>
Public Types | |
typedef LocalBasisTraits< D, d, Dune::FieldVector< D, d >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, d >, 1 > | Traits |
Public Member Functions | |
unsigned int | size () const |
number of shape functions More... | |
void | evaluateFunction (const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const |
Evaluate all shape functions. More... | |
void | evaluateJacobian (const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const |
Evaluate Jacobian of all shape functions. More... | |
void | partial (const std::array< unsigned int, d > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const |
Evaluate partial derivatives of any order of all shape functions. More... | |
template<int diffOrder> | |
void | evaluate (const std::array< int, 1 > &direction, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const |
Evaluate derivative in a given direction. More... | |
unsigned int | order () const |
Polynomial order of the shape functions. More... | |
Lagrange shape functions of order k on the reference cube.
Also known as .
D | Type to represent the field in the domain. |
R | Type to represent the field in the range. |
k | Polynomial degree |
d | Dimension of the cube |
typedef LocalBasisTraits<D,d,Dune::FieldVector<D,d>,R,1,Dune::FieldVector<R,1>,Dune::FieldMatrix<R,1,d>, 1> Dune::QkLocalBasis< D, R, k, d >::Traits |
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Evaluate derivative in a given direction.
[in] | direction | The direction to derive in |
[in] | in | Position where to evaluate |
[out] | out | The return value |
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Evaluate all shape functions.
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Evaluate Jacobian of all shape functions.
in | position where to evaluate |
out | The return value |
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Polynomial order of the shape functions.
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inline |
Evaluate partial derivatives of any order of all shape functions.
order | Order of the partial derivatives, in the classic multi-index notation | |
in | Position where to evaluate the derivatives | |
[out] | out | Return value: the desired partial derivatives |
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inline |
number of shape functions