Dune::Amg::KAMG< M, X, S, PI, K, A > Class Template Reference

an algebraic multigrid method using a Krylov-cycle. More...

#include <dune/istl/paamg/kamg.hh>

Public Types
typedef AMG< M, X, S, PI, A >	Amg
	The type of the underlying AMG.
typedef K	KrylovSolver
	The type of the Krylov solver for the cycle.
typedef Amg::OperatorHierarchy	OperatorHierarchy
	The type of the hierarchy of operators.
typedef Amg::CoarseSolver	CoarseSolver
	The type of the coarse solver.
typedef Amg::ParallelInformation	ParallelInformation
	the type of the parallelinformation to use.
typedef Amg::SmootherArgs	SmootherArgs
	The type of the arguments for construction of the smoothers.
typedef Amg::Operator	Operator
	the type of the lineatr operator.
typedef Amg::Domain	Domain
	the type of the domain.
typedef Amg::Range	Range
	The type of the range.
typedef Amg::ParallelInformationHierarchy	ParallelInformationHierarchy
	The type of the hierarchy of parallel information.
typedef Amg::ScalarProduct	ScalarProduct
	The type of the scalar product.
typedef X	domain_type
	The domain type of the preconditioner.
typedef X	range_type
	The range type of the preconditioner.
typedef X::field_type	field_type
	The field type of the preconditioner.

Public Member Functions
virtual SolverCategory::Category	category () const
	Category of the preconditioner (see SolverCategory::Category)
	KAMG (const OperatorHierarchy &matrices, CoarseSolver &coarseSolver, const SmootherArgs &smootherArgs, std::size_t gamma, std::size_t preSmoothingSteps=1, std::size_t postSmoothingSteps=1, std::size_t maxLevelKrylovSteps=3, double minDefectReduction=1e-1)
	Construct a new amg with a specific coarse solver. More...
	KAMG (const OperatorHierarchy &matrices, CoarseSolver &coarseSolver, const SmootherArgs &smootherArgs, const Parameters &parms, std::size_t maxLevelKrylovSteps=3, double minDefectReduction=1e-1)
	Construct a new amg with a specific coarse solver. More...
template<class C >
	KAMG (const Operator &fineOperator, const C &criterion, const SmootherArgs &smootherArgs, std::size_t gamma, std::size_t preSmoothingSteps=1, std::size_t postSmoothingSteps=1, std::size_t maxLevelKrylovSteps=3, double minDefectReduction=1e-1, const ParallelInformation &pinfo=ParallelInformation())
	Construct an AMG with an inexact coarse solver based on the smoother. More...
template<class C >
	KAMG (const Operator &fineOperator, const C &criterion, const SmootherArgs &smootherArgs=SmootherArgs(), std::size_t maxLevelKrylovSteps=3, double minDefectReduction=1e-1, const ParallelInformation &pinfo=ParallelInformation())
	Construct an AMG with an inexact coarse solver based on the smoother. More...
void	pre (Domain &x, Range &b)
	Prepare the preconditioner. More...
void	post (Domain &x)
	Clean up. More...
void	apply (Domain &v, const Range &d)
	Apply one step of the preconditioner to the system A(v)=d. More...

Detailed Description

template<class M, class X, class S, class PI = SequentialInformation, class K = GeneralizedPCGSolver<X>, class A = std::allocator<X>>
class Dune::Amg::KAMG< M, X, S, PI, K, A >

an algebraic multigrid method using a Krylov-cycle.

The implementation is based on the paper [Notay and Vassilevski, 2007]

Template Parameters

M	The type of the linear operator.
X	The type of the range and domain.
PI	The parallel information object. Use SequentialInformation (default) for a sequential AMG, OwnerOverlapCopyCommunication for the parallel case.
K	The type of the Krylov method to use for the cycle.
A	The type of the allocator to use.

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

• dune/istl/paamg/amg.hh
• dune/istl/paamg/kamg.hh