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... | |
| void | partial (const std::array< unsigned int, 2 > &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<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... | |
Detailed Description
template<class D, class R, unsigned int k>
class Dune::Pk2DLocalBasis< D, R, k >
Lagrange shape functions of arbitrary order on the reference triangle.
Lagrange shape functions of arbitrary order have the property that 
for certain points 
.
- Template Parameters
-
D Type to represent the field in the domain. R Type to represent the field in the range. k Polynomial order.
Member Typedef Documentation
§ Traits
template<class D, class R, unsigned int k>
| 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 |
Member Enumeration Documentation
§ anonymous enum
template<class D, class R, unsigned int k>
| anonymous enum |
§ anonymous enum
template<class D, class R, unsigned int k>
| anonymous enum |
Constructor & Destructor Documentation
§ Pk2DLocalBasis()
template<class D, class R, unsigned int k>
|
inline |
Standard constructor.
Member Function Documentation
§ evaluate()
template<class D, class R, unsigned int k>
template<unsigned int dOrder>
|
inline |
Evaluate higher derivatives of all shape functions.
- Deprecated:
- "Use method 'partial' instead!"
§ evaluateFunction()
template<class D, class R, unsigned int k>
|
inline |
Evaluate all shape functions.
§ evaluateJacobian()
template<class D, class R, unsigned int k>
|
inline |
Evaluate Jacobian of all shape functions.
§ order()
template<class D, class R, unsigned int k>
|
inline |
Polynomial order of the shape functions.
§ partial()
template<class D, class R, unsigned int k>
|
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, unsigned int k>
|
inline |
number of shape functions
The documentation for this class was generated from the following file:
