DUNE-FEM (unstable)
Accelerated flexible conjugate gradient method. More...
#include <dune/istl/solvers.hh>
Public Types | |
typedef X | domain_type |
Type of the domain of the operator to be inverted. | |
typedef X | range_type |
Type of the range of the operator to be inverted. | |
typedef X::field_type | field_type |
The field type of the operator. | |
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 Simd::Scalar< real_type > | scalar_real_type |
scalar type underlying the field_type | |
Public Member Functions | |
RestartedFCGSolver (const LinearOperator< X, X > &op, Preconditioner< X, X > &prec, scalar_real_type reduction, int maxit, int verbose, int mmax=10) | |
Constructor to initialize a RestartedFCG solver. More... | |
RestartedFCGSolver (const LinearOperator< X, X > &op, const ScalarProduct< X > &sp, Preconditioner< X, X > &prec, scalar_real_type reduction, int maxit, int verbose, int mmax=10) | |
Constructor to initialize a RestartedFCG solver. More... | |
RestartedFCGSolver (std::shared_ptr< const LinearOperator< X, X > > op, std::shared_ptr< const ScalarProduct< X > > sp, std::shared_ptr< Preconditioner< X, X > > prec, scalar_real_type reduction, int maxit, int verbose, int mmax=10) | |
Constructor to initialize a RestartedFCG solver. More... | |
RestartedFCGSolver (std::shared_ptr< const LinearOperator< X, X > > op, std::shared_ptr< Preconditioner< X, X > > prec, const ParameterTree &config) | |
Constructor. More... | |
void | apply (X &x, X &b, InverseOperatorResult &res) override |
Apply inverse operator. More... | |
void | apply (X &x, X &b, double reduction, InverseOperatorResult &res) override |
Apply inverse operator with given reduction factor. More... | |
SolverCategory::Category | category () const override |
Category of the solver (see SolverCategory::Category) | |
Detailed Description
class Dune::RestartedFCGSolver< X >
Accelerated flexible conjugate gradient method.
Flexible conjugate gradient method as in Y. Notay 'Flexible conjugate Gradients', SIAM J. Sci. Comput Vol. 22, No.4, pp. 1444-1460
This solver discard cyclic all old directions to speed up computing. In exact arithmetic it is exactly the same as the GeneralizedPCGSolver, but it is much faster, depending on the operator and dimension. On the other hand for large mmax it uses noticeably more memory.
Constructor & Destructor Documentation
◆ RestartedFCGSolver() [1/4]
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inline |
Constructor to initialize a RestartedFCG solver.
- Parameters
-
mmax is the maximal number of previous vectors which are orthogonalized against the new search direction.
◆ RestartedFCGSolver() [2/4]
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inline |
Constructor to initialize a RestartedFCG solver.
- Parameters
-
mmax is the maximal number of previous vectors which are orthogonalized against the new search direction.
◆ RestartedFCGSolver() [3/4]
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inline |
Constructor to initialize a RestartedFCG solver.
- Parameters
-
mmax is the maximal number of previous vectors which are orthogonalized against the new search direction.
◆ RestartedFCGSolver() [4/4]
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inline |
Constructor.
Additional parameter:
ParameterTree Key | Meaning |
---|---|
mmax | number of FCG cycles before restart. default=10 |
See ISTL_Factory for the ParameterTree layout and examples.
Member Function Documentation
◆ apply() [1/2]
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inlineoverridevirtualinherited |
Apply inverse operator with given reduction factor.
apply inverse operator, with given convergence criteria.
- Warning
- Right hand side b may be overwritten!
- Parameters
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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
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SolverAbort When the solver detects a problem and cannot continue
Implements Dune::InverseOperator< X, X >.
Reimplemented in Dune::RestartedGMResSolver< X, X >.
◆ apply() [2/2]
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inlineoverridevirtual |
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 RestartedFCGSolver aborts when a NaN or infinite defect is detected. However, -ffinite-math-only (implied by -ffast-math) can inhibit a result from becoming NaN that really should be NaN. E.g. numeric_limits<double>::quiet_NaN()*0.0==0.0 with gcc-5.3 -ffast-math.
Implements Dune::InverseOperator< X, X >.
Reimplemented in Dune::CompleteFCGSolver< X >.
References Dune::InverseOperatorResult::clear(), and Dune::InverseOperatorResult::converged.
Referenced by Dune::CompleteFCGSolver< X >::apply().
The documentation for this class was generated from the following file:
- dune/istl/solvers.hh