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... | |
Detailed Description
template<class D, class R, int k, int d>
class Dune::QkLocalBasis< D, R, k, d >
Lagrange shape functions of order k on the reference cube.
Also known as 
.
- Template Parameters
-
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
Member Typedef Documentation
§ Traits
template<class D , class R , int k, int d>
| 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 |
Member Function Documentation
§ evaluate()
template<class D , class R , int k, int d>
template<int diffOrder>
|
inline |
Evaluate derivative in a given direction.
- Parameters
-
[in] direction The direction to derive in [in] in Position where to evaluate [out] out The return value
- Deprecated:
- "Use method 'partial' instead!"
§ evaluateFunction()
template<class D , class R , int k, int d>
|
inline |
Evaluate all shape functions.
§ evaluateJacobian()
template<class D , class R , int k, int d>
|
inline |
Evaluate Jacobian of all shape functions.
- Parameters
-
in position where to evaluate out The return value
§ order()
template<class D , class R , int k, int d>
|
inline |
Polynomial order of the shape functions.
§ partial()
template<class D , class R , int k, int d>
|
inline |
Evaluate partial derivatives of any order of all shape functions.
- Parameters
-
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
§ size()
template<class D , class R , int k, int d>
|
inline |
number of shape functions
The documentation for this class was generated from the following file:
