PDELab Function

Modules
	GridFunctionTree
	Function Adapters

Classes
struct	Dune::PDELab::FunctionTraits< DF, n, D, RF, m, R >
class	Dune::PDELab::FunctionInterface< T, Imp >
	a Function that maps x in DomainType to y in RangeType More...
class	Dune::PDELab::InstationaryFunctionDefaults
	Default class for additional methods in instationary functions. More...
struct	Dune::PDELab::PowerCompositeGridFunctionTraits< GV >
	GV The type of the grid view the function lives on. More...
class	Dune::PDELab::GridFunctionOutputParameters
	Mixin base class for specifying output hints to I/O routines like VTK. More...
struct	Dune::PDELab::GridFunctionTraits< GV, RF, m, R >
	traits class holding the function signature, same as in local function More...
class	Dune::PDELab::GridFunctionInterface< T, Imp >
	a GridFunction maps x in DomainType to y in RangeType More...
struct	Dune::PDELab::BoundaryGridFunctionTraits< GV, RF, m, R >
	traits class holding function signature, same as in local function More...
class	Dune::PDELab::BoundaryGridFunctionInterface< T, Imp >
	A BoundaryGridFunction allows evaluation on boundary intersections. More...
class	Dune::PDELab::GridFunctionProbe< GF >
	Evaluate a GridFunction at a certain global coordinate. More...

Functions
template<typename GF >
GF::Traits::RangeType	Dune::PDELab::integrateGridFunction (const GF &gf, unsigned qorder=1)
	Integrate a GridFunction. More...
template<typename GF >
void	Dune::PDELab::integrateGridFunction (const GF &gf, typename GF::Traits::RangeType &sum, unsigned qorder=1)
	Integrate a GridFunction. More...

Detailed Description

Function Documentation

integrateGridFunction() [1/2]

template<typename GF >

void Dune::PDELab::integrateGridFunction	(	const GF &	gf,
		typename GF::Traits::RangeType &	sum,
		unsigned	qorder = 1
	)

Integrate a GridFunction.

   \code

#include <dune/pdelab/common/functionutilities.hh>

Integrate a GridFunction over the domain given by the GridFunction's GridView. In the parallel case, this function integrates over the Interior_Partition only. If the accumulated result over all processors result is required, use something like

integrateGridFunction(gf, sum);
sum = gf.getGridView().comm().sum(sum);

Template Parameters

GF	Type of the GridFunction.

Parameters

gf	The GridFunction object.
sum	Resulting integral. There is no need to clear this variable before calling this function.
qorder	Quadrature order to use. If the GridFunction is element-wise polynomial, then this is the order of the highest-order monom needed to represent the function.

References Dune::Functions::Experimental::elements(), Dune::FloatCmp::gt(), Dune::Geometry< mydim, cdim, GridImp, GeometryImp >::integrationElement(), Dune::Partitions::interior, and Dune::Geometry< mydim, cdim, GridImp, GeometryImp >::type().

Referenced by Dune::PDELab::integrateGridFunction().

integrateGridFunction() [2/2]

template<typename GF >

GF::Traits::RangeType Dune::PDELab::integrateGridFunction	(	const GF &	gf,
		unsigned	qorder = 1
	)

Integrate a GridFunction.

#include <dune/pdelab/common/functionutilities.hh>

Integrate a GridFunction over the domain given by the GridFunction's GridView. In the parallel case, this function integrates over the Interior_Partition only. If the accumulated result over all processors result is required, use something like

integrateGridFunction(gf, sum);
sum = gf.getGridView().comm().sum(sum);

Template Parameters

GF	Type of the GridFunction.

Parameters

gf	The GridFunction object.
qorder	Quadrature order to use. If the GridFunction is element-wise polynomial, then this is the order of the highest-order monom needed to represent the function.

Returns

Resulting integral.

Examples

recipe-grid-function-operations.cc, recipe-integrating-grid-functions.cc, and recipe-operator-splitting.cc.

References Dune::PDELab::integrateGridFunction().