Dune::ACFem::EllipticFemScheme< DiscreteFunction, Model, ZeroGridFunction< typename Model::FunctionSpaceType, typename Model::GridPartType > > Class Template Reference

Constructor for the elliptic fem-scheme. More...

#include <dune/acfem/algorithms/ellipticfemscheme.hh>

Collaboration diagram for Dune::ACFem::EllipticFemScheme< DiscreteFunction, Model, ZeroGridFunction< typename Model::FunctionSpaceType, typename Model::GridPartType > >:

Public Types
typedef DiscreteFunctionType::GridType	GridType
	type of hierarchic grid
typedef DiscreteFunctionType::GridPartType	GridPartType
	type of the grid view
typedef DiscreteFunctionType::DiscreteFunctionSpaceType	DiscreteFunctionSpaceType
	type of the discrete function space
typedef Model	ModelImplementationType
	type of the mathematical model
typedef DiscreteFunctionSpaceType::FunctionSpaceType	FunctionSpaceType
	type of function space
typedef SolverSelector< DiscreteFunctionType, OperatorPartsType >	SolverSelectorType
	choose type of discrete function, Matrix implementation and solver implementation
typedef Fem::NewtonInverseOperator< LinearOperatorType, LinearInverseOperatorType >	NonLinearInverseOperatorType
	Non-linear solver.
typedef Fem::RestrictProlongDefault< DiscreteFunctionType >	RestrictionProlongationType
	type of restriction/prolongation projection for adaptive simulations (use default here, i.e. More...
typedef Fem::AdaptationManager< GridType, RestrictionProlongationType >	AdaptationManagerType
	type of adaptation manager handling adapation and DoF compression
typedef ModelType::DirichletBoundaryFunctionType	DirichletBoundaryFunctionType
	type of Dirichlet boundary values
typedef ModelType::DirichletWeightFunctionType	DirichletWeightFunctionType
	type of Dirichlet weight function
typedef decltype(std::declval< DirichletBoundaryFunctionType >()/std::declval< typename DirichletWeightFunctionType::GridFunctionType >())	EffectiveDirichletFunctionType
	type of effective Dirichlet values
typedef ModelType::DirichletIndicatorType	DirichletIndicatorType
	types for various data
typedef DirichletConstraints< LinearOperatorType, EffectiveDirichletFunctionType, DirichletIndicatorType >	ConstraintsOperatorType
	type of Dirichlet constraints
typedef DifferentiableEllipticOperator< LinearOperatorType, OperatorPartsType, ConstraintsOperatorType >	OperatorType
	define differential operator
typedef EllipticEstimator< DiscreteFunctionSpaceType, ModelImplementationType >	EstimatorType
	type of error estimator
typedef MarkingStrategy< EstimatorType >	MarkingStrategyType
	type of marking strategy
typedef GridFunctionConverter< InitialGuessType, GridPartType >::WrappedGridFunctionType	InitialGuessFunctionType
	The wrapped InitialGuessType (no-op if already instrumented with LocalFunction)
typedef std::tuple< DiscreteFunctionType *, const InitialGuessFunctionType * >	IOTupleType
	type of input/output tuple
typedef DataOutput< GridType, IOTupleType >	DataOutputType
	type of data writer
Define the RHS functional. The default for forces and Neumann is a ZeroGridFunction which will result in a ZeroFunctional which simply will do nothing. For assembling, both will be added efficently together using FunctionalExpressions.
typedef ModelType::BulkForcesFunctionType	BulkForcesFunctionType
typedef L2InnerProductFunctional< DiscreteFunctionSpaceType, BulkForcesFunctionType >	BulkForcesFunctional
typedef ModelType::NeumannBoundaryFunctionType	BoundaryFluxFunctionType
typedef L2BoundaryFunctional< DiscreteFunctionSpaceType, BoundaryFluxFunctionType, typename ModelType::NeumannIndicatorType >	BoundaryFluxFunctional

Public Member Functions
	EllipticFemScheme (DiscreteFunctionType &solution, const ModelType &model, const InitialGuessType &initialGuess, const std::string &name="ellipt")
	Constructor for the elliptic fem-scheme. More...
	EllipticFemScheme (DiscreteFunctionType &solution, const ModelType &model, const std::string &name="ellipt")
	Constructor for the elliptic fem-scheme. More...
virtual void	initialize ()
	initialize solution
virtual void	solve (bool forceMatrixAssembling=true)
virtual bool	mark (const double tolerance)
	mark elements for adaptation
virtual double	estimate ()
	calculate error estimator
virtual void	adapt ()
	do the adaptation for a given marking
virtual int	output ()
	data I/O
virtual double	residual () const
	calculate residual (in small l^2)
virtual double	error () const
	calculate L2/H1 error

Protected Member Functions
virtual void	nonLinearSolve (DiscreteFunctionType &rhs)
	Run the full Newton-scheme ...
virtual void	linearSolve (DiscreteFunctionType &rhs, bool forceMatrixAssembling)
	Perform only one step of the Newton scheme for the affine-linear case. More...

Detailed Description

template<class DiscreteFunction, class Model>
class Dune::ACFem::EllipticFemScheme< DiscreteFunction, Model, ZeroGridFunction< typename Model::FunctionSpaceType, typename Model::GridPartType > >

Constructor for the elliptic fem-scheme.

Parameters

[in]	solution	Mutable reference to an existing discrete function in order to store the solution.
[in]	model	A const reference to something satisfying the ModelInterface.
[in]	initialGuess	An initial guess for an iterative solver or an exact solution for experimental convergence tests. EllipticFemScheme::error() will compute the H1-distance from thise function.
[in]	name	Fancy prefix name for parameters and debugging.

Member Typedef Documentation

RestrictionProlongationType

typedef Fem::RestrictProlongDefault<DiscreteFunctionType> Dune::ACFem::EllipticFemSchemeBase< DiscreteFunction, Model, ZeroGridFunction< Model::FunctionSpaceType, Model::GridPartType > >::RestrictionProlongationType

inherited

type of restriction/prolongation projection for adaptive simulations (use default here, i.e.

LagrangeInterpolation)

Constructor & Destructor Documentation

EllipticFemScheme() [1/2]

template<class DiscreteFunction , class Model >

Dune::ACFem::EllipticFemScheme< DiscreteFunction, Model, ZeroGridFunction< typename Model::FunctionSpaceType, typename Model::GridPartType > >::EllipticFemScheme ( DiscreteFunctionType &  solution, const ModelType &  model, const InitialGuessType &  initialGuess, const std::string &  name = "ellipt"  )

inline

Constructor for the elliptic fem-scheme.

Parameters

[in]	solution	Mutable reference to an existing discrete function in order to store the solution.
[in]	model	A const reference to something satisfying the ModelInterface.
[in]	initialGuess	An initial guess for an iterative solver or an exact solution for experimental convergence tests. EllipticFemScheme::error() will compute the H1-distance from thise function.
[in]	name	Fancy prefix name for parameters and debugging.

EllipticFemScheme() [2/2]

template<class DiscreteFunction , class Model >

Dune::ACFem::EllipticFemScheme< DiscreteFunction, Model, ZeroGridFunction< typename Model::FunctionSpaceType, typename Model::GridPartType > >::EllipticFemScheme ( DiscreteFunctionType &  solution, const ModelType &  model, const std::string &  name = "ellipt"  )

inline

Constructor for the elliptic fem-scheme.

Parameters

[in]	solution	Mutable reference to an existing discrete function in order to store the solution.
[in]	model	A const reference to something satisfying the ModelInterface.
[in]	name	Fancy prefix name for parameters and debugging.

Note

This constructor automatically constructs the InitialGuessType as ZeroGridFunction.

Member Function Documentation

linearSolve()

virtual void Dune::ACFem::EllipticFemSchemeBase< DiscreteFunction, Model, ZeroGridFunction< Model::FunctionSpaceType, Model::GridPartType > >::linearSolve ( DiscreteFunctionType &  rhs, bool  forceMatrixAssembling  )

inlineprotectedvirtualinherited

Perform only one step of the Newton scheme for the affine-linear case.

This implies that an affine linear case is really allowed.

solve()

virtual void Dune::ACFem::EllipticFemSchemeBase< DiscreteFunction, Model, ZeroGridFunction< Model::FunctionSpaceType, Model::GridPartType > >::solve ( bool  forceMatrixAssembling = true )

inlinevirtualinherited

Implements Dune::ACFem::BasicFemScheme.

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

• dune/acfem/algorithms/ellipticfemscheme.hh