Dune::ACFem::NeumannBoundaryModel< GridFunction, Indicator > Class Template Reference

A Neumann-boundary model. More...

#include <dune/acfem/models/modules/neumannmodel.hh>

Collaboration diagram for Dune::ACFem::NeumannBoundaryModel< GridFunction, Indicator >:

Public Types
typedef Expression	ExpressionType
	The type of the underlying expression.
BOUNDARY_INDICATORS
typedef DefaultTraitsType::DirichletIndicatorType	DirichletIndicatorType

Public Member Functions
std::string	name () const
	Print a descriptive name for debugging and output. More...
bool	setIntersection (const IntersectionType &intersection) const
NeumannIndicatorType	neumannIndicator () const
	Generate an object to identify parts of the boundary subject to Neumann boundary conditions. More...
NeumannBoundaryFunctionType	neumannBoundaryFunction (const GridPartType &gridPart) const
	Generate an instance of a class defining Neumann boundary values as a Fem grid-function. More...
const GridPartType &	gridPart () const
	Return the GridPart (non-interface method)
BulkForcesFunctionType	bulkForcesFunction (const GridPartType &gridPart) const
TraitsType::template ForcesFunctionalTraits< DiscreteFunctionSpace >::FunctionalType	forcesFunctional (const DiscreteFunctionSpace &space) const
DirichletBoundaryFunctionType	dirichletBoundaryFunction (const GridPartType &gridPart) const
DirichletWeightFunctionType	dirichletWeightFunction (const GridPartType &gridPart) const
DirichletIndicatorType	dirichletIndicator () const
const ExpressionType &	expression () const
	Return a const reference to the underlying expression.
ExpressionType &	expression ()
	Return a mutable reference to the underlying expression.
ExpressionType	operator* () const
	Return a copy from of the underlying expression.

Detailed Description

template<class GridFunction, class Indicator = EntireBoundaryIndicatorType>
class Dune::ACFem::NeumannBoundaryModel< GridFunction, Indicator >

A Neumann-boundary model.

We model the following boundary conditions here:

\[ \frac{\pratial u{\partial \nu} = g_N \text{ on }\Gamma_N \]

Parameters

[in]	GridFunction	gN
[in]	Indicator	The boundary indicator function which decides on which part of the boundary the Neumann boundary conditions is imposed.

Note

Note that GridFunction may already be a BoundarySupportedFunction in which case the resulting Neumann condition is imposed on the intersection of the supports of GridFunction and Indicator.

Member Function Documentation

bulkForcesFunction()

BulkForcesFunctionType Dune::ACFem::DefaultModel< Expression >::bulkForcesFunction ( const GridPartType &  gridPart ) const

inlineinherited

Generate an instance of a class defining the bulk-forces the model is subject to.

The return object is a Fem grid-function. This can be used for the case where the "right hand side" is an L2-function.

dirichletBoundaryFunction()

DirichletBoundaryFunctionType Dune::ACFem::DefaultModel< Expression >::dirichletBoundaryFunction ( const GridPartType &  gridPart ) const

inlineinherited

Generate an instance of a class defining Dirichlet boundary values as a Fem grid-function.

dirichletIndicator()

DirichletIndicatorType Dune::ACFem::DefaultModel< Expression >::dirichletIndicator ( ) const

inlineinherited

Generate an object to identify parts of the boundary subject to Dirichlet boundary conditions.

The return value has to obey the BoundaryIndicatorInterface.

dirichletWeightFunction()

DirichletWeightFunctionType Dune::ACFem::DefaultModel< Expression >::dirichletWeightFunction ( const GridPartType &  gridPart ) const

inlineinherited

Generate an instance of a class defining a "left hand side" weight on the Dirichlet boundary conditions, DefaultModelTraits::DirichletWeightFunctionType.

forcesFunctional()

TraitsType::template ForcesFunctionalTraits<DiscreteFunctionSpace>::FunctionalType Dune::ACFem::DefaultModel< Expression >::forcesFunctional ( const DiscreteFunctionSpace &  space ) const

inlineinherited

Generate an instance of a class defining a functional which forms part of the force-terms for the model.

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

• dune/acfem/models/modules/neumannmodel.hh