DUNE PDELab (2.8)
LocalBasis class in the sense of dune-localfunctions, presenting the restriction of a B-spline patch to a knot span. More...
#include <dune/functions/functionspacebases/bsplinebasis.hh>
Public Types | |
typedef LocalBasisTraits< D, dim, FieldVector< D, dim >, R, 1, FieldVector< R, 1 >, FieldMatrix< R, 1, dim > > | Traits |
export type traits for function signature | |
Public Member Functions | |
BSplineLocalBasis (const BSplinePreBasis< GV, MI > &preBasis, const BSplineLocalFiniteElement< GV, R, MI > &lFE) | |
Constructor with a given B-spline patch. More... | |
void | evaluateFunction (const FieldVector< D, dim > &in, std::vector< FieldVector< R, 1 > > &out) const |
Evaluate all shape functions. More... | |
void | evaluateJacobian (const FieldVector< D, dim > &in, std::vector< FieldMatrix< D, 1, dim > > &out) const |
Evaluate Jacobian of all shape functions. More... | |
template<size_t k> | |
void | evaluate (const typename std::array< int, k > &directions, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const |
Evaluate all shape functions and derivatives of any order. | |
unsigned int | order () const |
Polynomial order of the shape functions. More... | |
std::size_t | size () const |
Return the number of basis functions on the current knot span. | |
Detailed Description
class Dune::Functions::BSplineLocalBasis< GV, R, MI >
LocalBasis class in the sense of dune-localfunctions, presenting the restriction of a B-spline patch to a knot span.
- Template Parameters
-
GV Grid view that the basis is defined on R Number type used for spline function values
Constructor & Destructor Documentation
◆ BSplineLocalBasis()
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inline |
Constructor with a given B-spline patch.
The patch object does all the work.
Member Function Documentation
◆ evaluateFunction()
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inline |
Evaluate all shape functions.
- Parameters
-
in Coordinates where to evaluate the functions, in local coordinates of the current knot span
References Dune::DiagonalMatrix< K, n >::umv().
Referenced by Dune::Functions::BSplineLocalBasis< GV, R, MI >::evaluate().
◆ evaluateJacobian()
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inline |
Evaluate Jacobian of all shape functions.
- Parameters
-
in Coordinates where to evaluate the Jacobian, in local coordinates of the current knot span
References Dune::DiagonalMatrix< K, n >::umv().
◆ order()
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inline |
Polynomial order of the shape functions.
Unfortunately, the general interface of the LocalBasis class mandates that the 'order' method takes no arguments, and returns a single integer. It therefore cannot reflect that fact that a B-spline basis function can easily have different orders in the different coordinate directions. We therefore take the conservative choice and return the maximum over the orders of all directions.
The documentation for this class was generated from the following file:
- dune/functions/functionspacebases/bsplinebasis.hh