Kaskade::FunctionViews Namespace Reference

Namespace of views on a FunctionSpaceElement Views on Function SpaceElements can be used in a restricted sense like FunctionSpaceElements. The idea is to transform a given function to another function while evaluating it at a certain point. Such a view has provide certain functionality: More...

Classes
class	AbsSquare
class	Difference
class	Gradient
	Derivative of a given finite element function. More...
class	GradientAbsSquare
	A function view returning the square of the Frobenius norm of a function's derivative. More...

Detailed Description

Namespace of views on a FunctionSpaceElement Views on Function SpaceElements can be used in a restricted sense like FunctionSpaceElements. The idea is to transform a given function to another function while evaluating it at a certain point. Such a view has provide certain functionality:

Public Types::

• Space (which is a FEFunctionSpace)
• Scalar (return type, such as double)
• ValueType (value, usually a Dune::FieldVector<Scalar,...>)

Usually, views are templates over a Function, and they can inherit their types

Member Functions

• Space const& space() const (returns the space, the function lives on)
• template<class SFS> int order(SFS const& sfs) const (order of integration)

Usually these mamber functions pass over the values from the function that is viewed on the order of integration may have to be changed, according to the transformation, done.

• ValueType value(typename Function::Space::Evaluator const& evaluator) const

return the transformed value. Usually value(evaluator) is called for the function that is viewed on. Then its value is transformed.

Examples for such views are given by AbsSquare, Gradient, Difference