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

A function with potentially partial support on the boundary. More...

#include <dune/acfem/functions/boundarysupportedfunction.hh>

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

Classes
class	LocalFunction
	LocalFunction object which takes the value of a indicator into account. More...

Public Types
typedef LocalFunction	LocalFunctionType
	Type of local function to export.
typedef std::decay< decltype(*std::declval< Indicator >) &&*std::declval< InnerIndicatorType >))>::type	IndicatorType
	Resulting Boundary indicator type.
typedef GridFunction	GridFunctionType
	Type of wrapped grid-function.
typedef DiscreteFunctionSpaceType::GridType	GridType
	type of grid
typedef DiscreteFunctionSpaceType::DomainFieldType	DomainFieldType
	domain type (from function space)
typedef DiscreteFunctionSpaceType::RangeFieldType	RangeFieldType
	range type (from function space)
typedef DiscreteFunctionSpaceType::DomainType	DomainType
	domain type (from function space)
typedef DiscreteFunctionSpaceType::RangeType	RangeType
	range type (from function space)
typedef DiscreteFunctionSpaceType::JacobianRangeType	JacobianRangeType
	jacobian type (from function space)
typedef DiscreteFunctionSpaceType::HessianRangeType	HessianRangeType
	hessian type (from function space)

Public Member Functions
void	evaluate (const DomainType &global, RangeType &result) const
	evaluate function on local coordinate local
void	jacobian (const DomainType &global, JacobianRangeType &result) const
	evaluate function on local coordinate local
void	hessian (const DomainType &global, HessianRangeType &result) const
	evaluate function on local coordinate local
const LocalFunctionType	localFunction (const EntityType &entity) const
	Generate an ordinary local-function object which is ignorant of the value of the boundary-indicator, but supplies an init() method which can be used to make it indicator aware. More...
LocalFunctionType	localFunction (const EntityType &entity)
	Generate an ordinary local-function object which is ignorant of the value of the boundary-indicator, but supplies an init() method which can be used to make it indicator aware. More...
const LocalFunctionType	localFunction (const EntityType &entity, const IntersectionType &intersection) const
	Initialize a wrapped local function object for the given intersection. More...
LocalFunctionType	localFunction (const EntityType &entity, const IntersectionType &intersection)
	Initialize a wrapped local function object for the given intersection. More...

Detailed Description

template<class GridFunction, class Indicator>
class Dune::ACFem::BoundarySupportedFunction< GridFunction, Indicator >

A function with potentially partial support on the boundary.

A boundary-supported function models a function with potentially partial support on the boundary of the discrete domain. Normally it only wraps an existing grid-function (that is a Fem::Function with additional Fem::LocalFunction property) and augments it with a boundary indicator. The global evaluate() and jacobian() methods remain unchanged, but the associated LocalFunction object is instrumented with additional constructors in order to be constructed from a Dune::Intersection object. The thus generated LocalFunction object evaluates to zero where BoundaryIndicatorInterface<Indicator>::applies() returns false. In principle this is the ExpressionTemplate for the product of the indicator function for a part of the boundary with some existing function. Consequently wrapping a function which already implements a BoundarySupportedFunction again results into restricting the support of that function further.

Note

This is somewhat inefficient, as it potentially implies if-clauses at every quadrature point. OTOH, this is a lower-dimensional issue. Also, the EntireBoundaryIndicatorType and EmptyBoundaryIndicatorType cases are handled efficiently. Problems which need differing kinds of boundary conditions on different parts of the boundary will need some overhead anyway (but please FIXME).

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

• dune/acfem/functions/boundarysupportedfunction.hh