#include <dune/istl/paamg/twolevelmethod.hh>
Classes |
struct | LevelContext |
| Struct containing the level information.
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Public Types |
enum | { category = SolverCategory::sequential
} |
typedef CSP | CoarseLevelSolverPolicy |
| The type of the policy for constructing the coarse level solver.
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typedef
CoarseLevelSolverPolicy::CoarseLevelSolver | CoarseLevelSolver |
| The type of the coarse level solver.
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typedef FO | FineOperatorType |
| The linear operator of the finel level system. Has to be derived from AssembledLinearOperator.
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typedef
FineOperatorType::range_type | FineRangeType |
| The type of the range of the fine level operator.
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typedef
FineOperatorType::domain_type | FineDomainType |
| The type of the domain of the fine level operator.
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typedef CSP::Operator | CoarseOperatorType |
| The linear operator of the finel level system. Has to be derived from AssembledLinearOperator.
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typedef
CoarseOperatorType::range_type | CoarseRangeType |
| The type of the range of the coarse level operator.
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typedef
CoarseOperatorType::domain_type | CoarseDomainType |
| The type of the domain of the coarse level operator.
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typedef S | SmootherType |
| The type of the fine level smoother.
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typedef FO::domain_type | domain_type |
| The domain type of the preconditioner.
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typedef FO::range_type | range_type |
| The range type of the preconditioner.
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typedef FO::domain_type::field_type | field_type |
| The field type of the preconditioner.
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Public Member Functions |
| TwoLevelMethod (const FineOperatorType &op, shared_ptr< SmootherType > smoother, const LevelTransferPolicy< FineOperatorType, CoarseOperatorType > &policy, CoarseLevelSolverPolicy &coarsePolicy, std::size_t preSteps=1, std::size_t postSteps=1) |
| Constructs a two level method.
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| TwoLevelMethod (const TwoLevelMethod &other) |
| ~TwoLevelMethod () |
void | pre (FineDomainType &x, FineRangeType &b) |
void | post (FineDomainType &x) |
void | apply (FineDomainType &v, const FineRangeType &d) |
virtual void | pre (FO::domain_type &x, FO::range_type &b)=0 |
| Prepare the preconditioner.
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virtual void | apply (FO::domain_type &v, const FO::range_type &d)=0 |
| Apply one step of the preconditioner to the system A(v)=d.
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virtual void | post (FO::domain_type &x)=0 |
| Clean up.
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Detailed Description
template<class FO, class CSP, class S>
class Dune::Amg::TwoLevelMethod< FO, CSP, S >
- Template Parameters
-
FO | The type of the fine level linear operator. |
CSP | The type of the coarse level solver policy. |
S | The type of the fine level smoother used. |
Member Typedef Documentation
template<class FO , class CSP , class S >
The type of the domain of the coarse level operator.
template<class FO , class CSP , class S >
The type of the coarse level solver.
template<class FO , class CSP , class S >
The type of the policy for constructing the coarse level solver.
template<class FO , class CSP , class S >
template<class FO , class CSP , class S >
The type of the range of the coarse level operator.
The domain type of the preconditioner.
The field type of the preconditioner.
template<class FO , class CSP , class S >
The type of the domain of the fine level operator.
template<class FO , class CSP , class S >
template<class FO , class CSP , class S >
The type of the range of the fine level operator.
The range type of the preconditioner.
template<class FO , class CSP , class S >
The type of the fine level smoother.
Member Enumeration Documentation
template<class FO , class CSP , class S >
- Enumerator:
category |
The category the preconditioner is part of.
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Constructor & Destructor Documentation
template<class FO , class CSP , class S >
template<class FO , class CSP , class S >
template<class FO , class CSP , class S >
Member Function Documentation
virtual void Dune::Preconditioner< FO::domain_type , FO::range_type >::apply |
( |
FO::domain_type & |
v, |
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const FO::range_type & |
d |
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) |
| |
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pure virtualinherited |
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
-
[out] | v | The update to be computed |
| d | The current defect. |
template<class FO , class CSP , class S >
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
-
x | The right hand side of the equation. |
template<class FO , class CSP , class S >
virtual void Dune::Preconditioner< FO::domain_type , FO::range_type >::pre |
( |
FO::domain_type & |
x, |
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FO::range_type & |
b |
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) |
| |
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pure virtualinherited |
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.
- Parameters
-
x | The left hand side of the equation. |
b | The right hand side of the equation. |
template<class FO , class CSP , class S >
The documentation for this class was generated from the following file: