Dune::Fem::NewtonInverseOperator< JacobianOperator, LInvOp > Class Template Reference

inverse operator based on a newton scheme More...

#include <dune/fem/solver/newtoninverseoperator.hh>

Public Types
typedef JacobianOperator	JacobianOperatorType
	type of operator's Jacobian
typedef DifferentiableOperator< JacobianOperatorType >	OperatorType
	type of operator to invert
typedef LInvOp	LinearInverseOperatorType
	type of linear inverse operator
typedef Impl::SolverInfo	SolverInfoType
	performance info about last solver call
typedef RangeFunction::RangeFieldType	RangeFieldType
	field type of the operator's range

Public Member Functions
	NewtonInverseOperator (const ParameterType &parameter=ParameterType(Parameter::container()))
	NewtonInverseOperator (const DomainFieldType &epsilon, const ParameterType &parameter)
	NewtonInverseOperator (const DomainFieldType &epsilon, const ParameterReader &parameter=Parameter::container())
const std::vector< double > &	timing () const
	returns [overall, jacobian, solve] timings in seconds for last operator () call.
SolverInfoType	info () const
	return performance information about last solver run *‍/
virtual void	operator() (const DomainFunctionType &u, RangeFunctionType &w) const=0
	application operator More...
virtual void	finalize ()
	finalization of operator More...
virtual bool	nonlinear () const

Static Public Attributes
static constexpr bool	preconditioningAvailable = SelectPreconditioning< LinearInverseOperatorType > :: value
	type of preconditioner for linear solver

Detailed Description

template<class JacobianOperator, class LInvOp>
class Dune::Fem::NewtonInverseOperator< JacobianOperator, LInvOp >

inverse operator based on a newton scheme

Template Parameters

Op	operator to invert (must be a DifferentiableOperator)
LInvOp	linear inverse operator

Note

Verbosity of the NewtonInverseOperator is controlled via the parameter fem.solver.nonlinear.verbose; it defaults to fem.solver.verbose.

Similar to CG solver the initial guess should take the constraints into account. In this case we need the initial residual to be zero on the boundary, i.e., when calling operator()(u,w) then w=g+u should hold on the Dirichlet boundary. This way we do not explicitly need to call the constraints here.

Constructor & Destructor Documentation

NewtonInverseOperator() [1/3]

template<class JacobianOperator , class LInvOp >

Dune::Fem::NewtonInverseOperator< JacobianOperator, LInvOp >::NewtonInverseOperator ( const ParameterType &  parameter = ParameterType( Parameter::container() ) )

inlineexplicit

constructor

Note

The tolerance is read from the parameter fem.solver.nonlinear.tolerance

NewtonInverseOperator() [2/3]

template<class JacobianOperator , class LInvOp >

Dune::Fem::NewtonInverseOperator< JacobianOperator, LInvOp >::NewtonInverseOperator ( const DomainFieldType &  epsilon, const ParameterType &  parameter  )

inline

constructor

Parameters

[in]	epsilon	tolerance for norm of residual
[in]	parameter	parameter set for solver config.

NewtonInverseOperator() [3/3]

template<class JacobianOperator , class LInvOp >

Dune::Fem::NewtonInverseOperator< JacobianOperator, LInvOp >::NewtonInverseOperator ( const DomainFieldType &  epsilon, const ParameterReader &  parameter = Parameter::container()  )

inline

constructor

Parameters

[in]	epsilon	tolerance for norm of residual
[in]	parameter	parameter set for solver config.

Member Function Documentation

finalize()

virtual void Dune::Fem::Operator< JacobianOperator::RangeFunctionType , JacobianOperator::DomainFunctionType >::finalize ( )

inlinevirtualinherited

finalization of operator

Note

The default implementation is empty.

nonlinear()

virtual bool Dune::Fem::Operator< JacobianOperator::RangeFunctionType , JacobianOperator::DomainFunctionType >::nonlinear ( ) const

inlinevirtualinherited

Return true if the Operator is nonlinear and false otherwise (default is true).

operator()()

virtual void Dune::Fem::Operator< JacobianOperator::RangeFunctionType , JacobianOperator::DomainFunctionType >::operator() ( const DomainFunctionType &  u, RangeFunctionType &  w  ) const

pure virtualinherited

application operator

Parameters

[in]	u	argument discrete function
[out]	w	destination discrete function

Note

This method has to be implemented by all derived classes.

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

• dune/fem/solver/newtoninverseoperator.hh