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Nonoverlapping parallel preconditioner. More...
#include <dune/istl/novlpschwarz.hh>
Public Types | |
enum | { category = SolverCategory::nonoverlapping } |
typedef P::domain_type | domain_type |
The domain type of the preconditioner. | |
typedef P::range_type | range_type |
The range type of the preconditioner. | |
typedef C | communication_type |
The type of the communication object. | |
typedef P::domain_type::field_type | field_type |
The field type of the preconditioner. | |
Public Member Functions | |
NonoverlappingBlockPreconditioner (P &prec, const communication_type &c) | |
Constructor. | |
virtual void | pre (domain_type &x, range_type &b) |
Prepare the preconditioner. | |
virtual void | apply (domain_type &v, const range_type &d) |
Apply the preconditioner. | |
virtual void | post (domain_type &x) |
Clean up. | |
virtual void | pre (P::domain_type &x, P::range_type &b)=0 |
Prepare the preconditioner. | |
virtual void | apply (P::domain_type &v, const P::range_type &d)=0 |
Apply one step of the preconditioner to the system A(v)=d. | |
virtual void | post (P::domain_type &x)=0 |
Clean up. | |
Friends | |
class | Amg::ConstructionTraits< NonoverlappingBlockPreconditioner< C, P > > |
Nonoverlapping parallel preconditioner.
This is essentially a wrapper that take a sequential preconditoner. In each step the sequential preconditioner is applied and then all owner data points are updated on all other processes.
typedef C Dune::NonoverlappingBlockPreconditioner< C, P >::communication_type |
The type of the communication object.
typedef P::domain_type Dune::NonoverlappingBlockPreconditioner< C, P >::domain_type |
The domain type of the preconditioner.
Reimplemented from Dune::Preconditioner< P::domain_type, P::range_type >.
typedef P::domain_type ::field_type Dune::Preconditioner< P::domain_type , P::range_type >::field_type [inherited] |
The field type of the preconditioner.
typedef P::range_type Dune::NonoverlappingBlockPreconditioner< C, P >::range_type |
The range type of the preconditioner.
Reimplemented from Dune::Preconditioner< P::domain_type, P::range_type >.
anonymous enum |
Dune::NonoverlappingBlockPreconditioner< C, P >::NonoverlappingBlockPreconditioner | ( | P & | prec, | |
const communication_type & | c | |||
) | [inline] |
Constructor.
constructor gets all parameters to operate the prec.
prec | The sequential preconditioner. | |
c | The communication object for syncing owner and copy data points. (E.~g. OwnerOverlapCommunication ) |
virtual void Dune::NonoverlappingBlockPreconditioner< C, P >::apply | ( | domain_type & | v, | |
const range_type & | d | |||
) | [inline, virtual] |
Apply the preconditioner.
virtual void Dune::Preconditioner< P::domain_type , P::range_type >::apply | ( | P::domain_type & | v, | |
const P::range_type & | d | |||
) | [pure virtual, inherited] |
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.
[out] | v | The update to be computed |
d | The current defect. |
virtual void Dune::Preconditioner< P::domain_type , P::range_type >::post | ( | P::domain_type & | x | ) | [pure virtual, inherited] |
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.
x | The right hand side of the equation. |
virtual void Dune::NonoverlappingBlockPreconditioner< C, P >::post | ( | domain_type & | x | ) | [inline, virtual] |
Clean up.
virtual void Dune::Preconditioner< P::domain_type , P::range_type >::pre | ( | P::domain_type & | x, | |
P::range_type & | b | |||
) | [pure virtual, inherited] |
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.
x | The left hand side of the equation. | |
b | The right hand side of the equation. |
virtual void Dune::NonoverlappingBlockPreconditioner< C, P >::pre | ( | domain_type & | x, | |
range_type & | b | |||
) | [inline, virtual] |
Prepare the preconditioner.
friend class Amg::ConstructionTraits< NonoverlappingBlockPreconditioner< C, P > > [friend] |
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