Dune Core Modules (2.5.0)
implements the Generalized Minimal Residual (GMRes) method More...
#include <dune/istl/solvers.hh>
Public Types | |
typedef X | domain_type |
The domain type of the operator to be inverted. | |
typedef Y | range_type |
The range type of the operator to be inverted. | |
typedef X::field_type | field_type |
The field type of the operator to be inverted. | |
typedef FieldTraits< field_type >::real_type | real_type |
The real type of the field type (is the same if using real numbers, but differs for std::complex) | |
typedef F | basis_type |
The field type of the basis vectors. | |
Public Member Functions | |
template<class L , class P > | |
RestartedGMResSolver (L &op, P &prec, real_type reduction, int restart, int maxit, int verbose) | |
Set up solver. More... | |
template<class L , class S , class P > | |
RestartedGMResSolver (L &op, S &sp, P &prec, real_type reduction, int restart, int maxit, int verbose) | |
Set up solver. More... | |
virtual void | apply (X &x, Y &b, InverseOperatorResult &res) |
Apply inverse operator. More... | |
virtual void | apply (X &x, Y &b, double reduction, InverseOperatorResult &res) |
Apply inverse operator. More... | |
virtual void | apply (X &x, X &b, InverseOperatorResult &res)=0 |
Apply inverse operator,. More... | |
virtual void | apply (X &x, X &b, double reduction, InverseOperatorResult &res)=0 |
apply inverse operator, with given convergence criteria. More... | |
Detailed Description
class Dune::RestartedGMResSolver< X, Y, F >
implements the Generalized Minimal Residual (GMRes) method
GMRes solves the unsymmetric linear system Ax = b using the Generalized Minimal Residual method as described the SIAM Templates book (http://www.netlib.org/templates/templates.pdf).
- Template Parameters
-
X trial vector, vector type of the solution Y test vector, vector type of the RHS F vector type for orthonormal basis of Krylov space
Constructor & Destructor Documentation
◆ RestartedGMResSolver() [1/2]
|
inline |
Set up solver.
- Parameters
-
restart number of GMRes cycles before restart
References Dune::SolverCategory::sequential.
◆ RestartedGMResSolver() [2/2]
|
inline |
Set up solver.
- Parameters
-
restart number of GMRes cycles before restart
Member Function Documentation
◆ apply() [1/4]
|
pure virtualinherited |
apply inverse operator, with given convergence criteria.
- Warning
- Right hand side b may be overwritten!
- Parameters
-
x The left hand side to store the result in. b The right hand side reduction The minimum defect reduction to achieve. res Object to store the statistics about applying the operator.
- Exceptions
-
SolverAbort When the solver detects a problem and cannot continue
Implemented in Dune::LoopSolver< X >, Dune::GradientSolver< X >, Dune::CGSolver< X >, Dune::BiCGSTABSolver< X >, Dune::MINRESSolver< X >, and Dune::GeneralizedPCGSolver< X >.
◆ apply() [2/4]
|
pure virtualinherited |
Apply inverse operator,.
- Warning
- Note: right hand side b may be overwritten!
- Parameters
-
x The left hand side to store the result in. b The right hand side res Object to store the statistics about applying the operator.
- Exceptions
-
SolverAbort When the solver detects a problem and cannot continue
Implemented in Dune::LoopSolver< X >, Dune::GradientSolver< X >, Dune::CGSolver< X >, Dune::BiCGSTABSolver< X >, Dune::MINRESSolver< X >, and Dune::GeneralizedPCGSolver< X >.
◆ apply() [3/4]
|
inlinevirtual |
Apply inverse operator.
apply inverse operator, with given convergence criteria.
- Warning
- Right hand side b may be overwritten!
- Parameters
-
x The left hand side to store the result in. b The right hand side reduction The minimum defect reduction to achieve. res Object to store the statistics about applying the operator.
- Exceptions
-
SolverAbort When the solver detects a problem and cannot continue
- Note
- Currently, the RestartedGMResSolver aborts when it detects a breakdown.
References Dune::InverseOperatorResult::clear(), Dune::InverseOperatorResult::conv_rate, Dune::InverseOperatorResult::converged, DUNE_THROW, Dune::Timer::elapsed(), Dune::InverseOperatorResult::elapsed, Dune::InverseOperatorResult::iterations, Dune::InverseOperator< X, X >::printHeader(), Dune::InverseOperator< X, X >::printOutput(), Dune::InverseOperatorResult::reduction, and Dune::Timer::reset().
◆ apply() [4/4]
|
inlinevirtual |
Apply inverse operator.
Apply inverse operator,.
- Warning
- Note: right hand side b may be overwritten!
- Parameters
-
x The left hand side to store the result in. b The right hand side res Object to store the statistics about applying the operator.
- Exceptions
-
SolverAbort When the solver detects a problem and cannot continue
- Note
- Currently, the RestartedGMResSolver aborts when it detects a breakdown.
References Dune::RestartedGMResSolver< X, Y, F >::apply().
Referenced by Dune::RestartedGMResSolver< X, Y, F >::apply().
The documentation for this class was generated from the following file:
- dune/istl/solvers.hh