Dune::H1Function< DT, RT, n, m > Class Template Reference
[Functions Hierarchy]

#include <functions.hh>

Inheritance diagram for Dune::H1Function< DT, RT, n, m >:

List of all members.

Detailed Description

template<class DT, class RT, int n, int m>
class Dune::H1Function< DT, RT, n, m >

Abstract base class for H1 functions.

Partial derivatives up to order 1 can be taken but the pointwise values might not be unique.

Template parameters are:

DT type for components of the input vector
RT type for the return values
n dimension of the input space
m number of components of the vector-valued function


Public Types
enum
	export dimension of domain and range
typedef DT	DomainFieldType
	export type for domain components
typedef RT	RangeFieldType
	export type for range components
Public Member Functions
virtual int	order () const
	returns order 1
virtual RT	derivative (int comp, const Dune::FieldVector< int, n > &d, const Dune::FieldVector< DT, n > &x) const=0
	evaluate partial derivative
virtual RT	eval (int comp, const Dune::FieldVector< DT, n > &x) const=0
	evaluate single component comp at global point x
virtual void	evalall (const Dune::FieldVector< DT, n > &x, Dune::FieldVector< RT, m > &y) const=0
	evaluate all components at point x and store result in y

Member Function Documentation

template<class DT, class RT, int n, int m>

virtual int Dune::H1Function< DT, RT, n, m >::order ( ) const [inline, virtual]

returns order 1

For H1 functions we can implement it here.

Implements Dune::DifferentiableFunction< DT, RT, n, m >.

Reimplemented in Dune::P1Function< GV, RT, LC, m >, Dune::P2Function< GridType, RT, IS, m >, Dune::P1Function< G::LevelGridView, RT, Dune::LevelCommunicate< G >, m >, Dune::P1Function< G::LeafGridView, RT, Dune::LeafCommunicate< G >, m >, Dune::P2Function< G, RT, G::template Codim< 0 >::LevelIndexSet, m >, and Dune::P2Function< G, RT, G::template Codim< 0 >::LeafIndexSet, m >.

template<class DT, class RT, int n, int m>

virtual RT Dune::DifferentiableFunction< DT, RT, n, m >::derivative	(	int	comp,
		const Dune::FieldVector< int, n > &	d,
		const Dune::FieldVector< DT, n > &	x
	)			const `[pure virtual, inherited]`

evaluate partial derivative

Evaluate partial derivative of a component of the vector-valued function.

Parameters:

`[in]`	comp	number of component that should be differentiated
`[in]`	d	vector giving order of derivative for each variable
`[in]`	x	position where derivative is to be evaluated

Returns:: value of the derivative

Implemented in Dune::DifferentiableGridFunctionAdapter< G, RT, m >, Dune::DifferentiableFunctionDefault< DT, RT, n, m >, Dune::P1Function< GV, RT, LC, m >, Dune::GridFunctionGlobalDifferentiationDefault< GV, RT, 1 >, Dune::GridFunctionGlobalDifferentiationDefault< G::LeafGridView, RT, 1 >, Dune::GridFunctionGlobalDifferentiationDefault< G::LevelGridView, RT, 1 >, Dune::P1Function< G::LevelGridView, RT, Dune::LevelCommunicate< G >, m >, and Dune::P1Function< G::LeafGridView, RT, Dune::LeafCommunicate< G >, m >.

template<class DT, class RT, int n, int m>

virtual RT Dune::FunctionBase< DT, RT, n, m >::eval	(	int	comp,
		const Dune::FieldVector< DT, n > &	x
	)			const `[pure virtual, inherited]`

evaluate single component comp at global point x

Evaluate a single component of the vector-valued function.

Parameters:

`[in]`	comp	number of component to be evaluated
`[in]`	x	position to be evaluated

Returns:: value of the component

Implemented in Dune::GridFunctionAdapter< G, RT, m >, Dune::DifferentiableGridFunctionAdapter< G, RT, m >, Dune::GridLevelLeafFunctionAdapter< G, RT, m >, Dune::GridLeafFunctionAdapter< G, IS, RT, m >, Dune::GridFunctionGradient< G, RT >, Dune::GridFunctionMinus< G, RT, m >, Dune::GridFunctionGlobalEvalDefault< GV, RT, 1 >, Dune::GridFunctionGlobalEvalDefault< G::LevelGridView, RT, m >, Dune::GridFunctionGlobalEvalDefault< G::LeafGridView, RT, 1 >, Dune::GridFunctionGlobalEvalDefault< G::LeafGridView, RT, m >, and Dune::GridFunctionGlobalEvalDefault< G::LevelGridView, RT, 1 >.

template<class DT, class RT, int n, int m>

virtual void Dune::FunctionBase< DT, RT, n, m >::evalall	(	const Dune::FieldVector< DT, n > &	x,
		Dune::FieldVector< RT, m > &	y
	)			const `[pure virtual, inherited]`

evaluate all components at point x and store result in y

Evaluation function for all components at once.

Parameters:

`[in]`	x	position to be evaluated
`[out]`	y	result vector to be filled

Implemented in Dune::FunctionDefault< DT, RT, n, m >.

The documentation for this class was generated from the following file:

functions.hh

Dune::H1Function< DT, RT, n, m > Class Template Reference [Functions Hierarchy]

Detailed Description

template<class DT, class RT, int n, int m> class Dune::H1Function< DT, RT, n, m >

Public Types

Public Member Functions

Member Function Documentation

Dune::H1Function< DT, RT, n, m > Class Template Reference
[Functions Hierarchy]

template<class DT, class RT, int n, int m>
class Dune::H1Function< DT, RT, n, m >