An Algebraic Multigrid based on Agglomeration that saves memory bandwidth.
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typedef M | Dune::Amg::FastAMG< M, X, PI, A >::Operator |
| The matrix operator type. More...
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typedef PI | Dune::Amg::FastAMG< M, X, PI, A >::ParallelInformation |
| The type of the parallel information. Either OwnerOverlapCommunication or another type describing the parallel data distribution and providing communication methods. More...
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typedef MatrixHierarchy< M, ParallelInformation, A > | Dune::Amg::FastAMG< M, X, PI, A >::OperatorHierarchy |
| The operator hierarchy type. More...
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typedef OperatorHierarchy::ParallelInformationHierarchy | Dune::Amg::FastAMG< M, X, PI, A >::ParallelInformationHierarchy |
| The parallal data distribution hierarchy type. More...
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typedef X | Dune::Amg::FastAMG< M, X, PI, A >::Domain |
| The domain type. More...
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typedef X | Dune::Amg::FastAMG< M, X, PI, A >::Range |
| The range type. More...
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typedef InverseOperator< X, X > | Dune::Amg::FastAMG< M, X, PI, A >::CoarseSolver |
| the type of the coarse solver. More...
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| Dune::Amg::FastAMG< M, X, PI, A >::FastAMG (OperatorHierarchy &matrices, CoarseSolver &coarseSolver, const Parameters &parms, bool symmetric=true) |
| Construct a new amg with a specific coarse solver. More...
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template<class C > |
| Dune::Amg::FastAMG< M, X, PI, A >::FastAMG (const Operator &fineOperator, const C &criterion, const Parameters &parms=Parameters(), bool symmetric=true, const ParallelInformation &pinfo=ParallelInformation()) |
| Construct an AMG with an inexact coarse solver based on the smoother. More...
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| Dune::Amg::FastAMG< M, X, PI, A >::FastAMG (const FastAMG &amg) |
| Copy constructor. More...
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void | Dune::Amg::FastAMG< M, X, PI, A >::pre (Domain &x, Range &b) |
| Prepare the preconditioner. More...
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void | Dune::Amg::FastAMG< M, X, PI, A >::apply (Domain &v, const Range &d) |
| Apply one step of the preconditioner to the system A(v)=d. More...
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virtual SolverCategory::Category | Dune::Amg::FastAMG< M, X, PI, A >::category () const |
| Category of the preconditioner (see SolverCategory::Category) More...
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void | Dune::Amg::FastAMG< M, X, PI, A >::post (Domain &x) |
| Clean up. More...
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template<class A1 > |
void | Dune::Amg::FastAMG< M, X, PI, A >::getCoarsestAggregateNumbers (std::vector< std::size_t, A1 > &cont) |
| Get the aggregate number of each unknown on the coarsest level. More...
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std::size_t | Dune::Amg::FastAMG< M, X, PI, A >::levels () |
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std::size_t | Dune::Amg::FastAMG< M, X, PI, A >::maxlevels () |
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void | Dune::Amg::FastAMG< M, X, PI, A >::recalculateHierarchy () |
| Recalculate the matrix hierarchy. More...
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bool | Dune::Amg::FastAMG< M, X, PI, A >::usesDirectCoarseLevelSolver () const |
| Check whether the coarse solver used is a direct solver. More...
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OperatorHierarchy::ParallelMatrixHierarchy::ConstIterator | Dune::Amg::FastAMG< M, X, PI, A >::LevelContext::matrix |
| The iterator over the matrices. More...
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ParallelInformationHierarchy::Iterator | Dune::Amg::FastAMG< M, X, PI, A >::LevelContext::pinfo |
| The iterator over the parallel information. More...
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OperatorHierarchy::RedistributeInfoList::const_iterator | Dune::Amg::FastAMG< M, X, PI, A >::LevelContext::redist |
| The iterator over the redistribution information. More...
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OperatorHierarchy::AggregatesMapList::const_iterator | Dune::Amg::FastAMG< M, X, PI, A >::LevelContext::aggregates |
| The iterator over the aggregates maps. More...
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Hierarchy< Domain, A >::Iterator | Dune::Amg::FastAMG< M, X, PI, A >::LevelContext::lhs |
| The iterator over the left hand side. More...
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Hierarchy< Domain, A >::Iterator | Dune::Amg::FastAMG< M, X, PI, A >::LevelContext::residual |
| The iterator over the residuals. More...
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Hierarchy< Range, A >::Iterator | Dune::Amg::FastAMG< M, X, PI, A >::LevelContext::rhs |
| The iterator over the right hand sided. More...
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std::size_t | Dune::Amg::FastAMG< M, X, PI, A >::LevelContext::level |
| The level index. More...
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An Algebraic Multigrid based on Agglomeration that saves memory bandwidth.
◆ CoarseSolver
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
the type of the coarse solver.
◆ Domain
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
◆ Operator
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
The matrix operator type.
◆ OperatorHierarchy
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
The operator hierarchy type.
◆ ParallelInformation
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
The type of the parallel information. Either OwnerOverlapCommunication or another type describing the parallel data distribution and providing communication methods.
◆ ParallelInformationHierarchy
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
The parallal data distribution hierarchy type.
◆ Range
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
◆ apply()
template<class M , class X , class PI , class A >
Apply one step of the preconditioner to the system A(v)=d.
On entry v=0 and d=b-A(x) (although this might not be computed in that way. On exit v contains the update, i.e one step computes
where
is the approximate inverse of the operator
characterizing the preconditioner.
- Parameters
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[out] | v | The update to be computed |
| d | The current defect. |
Implements Dune::Preconditioner< X, X >.
◆ category()
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
◆ FastAMG() [1/3]
template<class M , class X , class PI , class A >
◆ FastAMG() [2/3]
template<class M , class X , class PI , class A >
template<class C >
Construct an AMG with an inexact coarse solver based on the smoother.
As coarse solver a preconditioned CG method with the smoother as preconditioner will be used. The matrix hierarchy is built automatically.
- Parameters
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fineOperator | The operator on the fine level. |
criterion | The criterion describing the coarsening strategy. E. g. SymmetricCriterion or UnsymmetricCriterion, and providing the parameters. |
parms | The parameters for the AMG. |
pinfo | The information about the parallel distribution of the data. |
◆ FastAMG() [3/3]
template<class M , class X , class PI , class A >
Construct a new amg with a specific coarse solver.
- Parameters
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matrices | The already set up matix hierarchy. |
coarseSolver | The set up solver to use on the coarse grid, must match the coarse matrix in the matrix hierarchy. |
parms | The parameters for the AMG. |
◆ getCoarsestAggregateNumbers()
template<class M , class X , class PI , class A >
template<class A1 >
void Dune::Amg::FastAMG< M, X, PI, A >::getCoarsestAggregateNumbers |
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std::vector< std::size_t, A1 > & |
cont | ) |
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Get the aggregate number of each unknown on the coarsest level.
- Parameters
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cont | The random access container to store the numbers in. |
◆ levels()
template<class M , class X , class PI , class A >
◆ maxlevels()
template<class M , class X , class PI , class A >
◆ post()
template<class M , class X , class PI , class A >
Clean up.
This method is called after the last apply call for the linear system to be solved. Memory may be deallocated safely here. x is the solution of the linear equation.
- Parameters
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x | The right hand side of the equation. |
Implements Dune::Preconditioner< X, X >.
◆ pre()
template<class M , class X , class PI , class A >
Prepare the preconditioner.
A solver solves a linear operator equation A(x)=b by applying one or several steps of the preconditioner. The method pre() is called before the first apply operation. b and x are right hand side and solution vector of the linear system respectively. It may. e.g., scale the system, allocate memory or compute a (I)LU decomposition. Note: The ILU decomposition could also be computed in the constructor or with a separate method of the derived method if several linear systems with the same matrix are to be solved.
- Note
- if a preconditioner is copied (e.g. for a second thread) again the pre() method has to be called to ensure proper memory mangement.
X x(0.0);
Y b = ...;
prec.pre(x,b);
prec.apply(x,b);
prec.post(x);
Base class for matrix free definition of preconditioners.
Definition: preconditioner.hh:32
- Parameters
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x | The left hand side of the equation. |
b | The right hand side of the equation. |
Implements Dune::Preconditioner< X, X >.
◆ recalculateHierarchy()
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
Recalculate the matrix hierarchy.
It is assumed that the coarsening for the changed fine level matrix would yield the same aggregates. In this case it suffices to recalculate all the Galerkin products for the matrices of the coarser levels.
◆ usesDirectCoarseLevelSolver()
template<class M , class X , class PI , class A >
Check whether the coarse solver used is a direct solver.
- Returns
- True if the coarse level solver is a direct solver.
◆ aggregates
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
OperatorHierarchy::AggregatesMapList::const_iterator Dune::Amg::FastAMG< M, X, PI, A >::LevelContext::aggregates |
The iterator over the aggregates maps.
◆ level
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
◆ lhs
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
The iterator over the left hand side.
◆ matrix
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
The iterator over the matrices.
◆ pinfo
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
The iterator over the parallel information.
◆ redist
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
OperatorHierarchy::RedistributeInfoList::const_iterator Dune::Amg::FastAMG< M, X, PI, A >::LevelContext::redist |
The iterator over the redistribution information.
◆ residual
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
The iterator over the residuals.
◆ rhs
template<class M , class X , class PI = SequentialInformation, class A = std::allocator<X>>
The iterator over the right hand sided.