dune-istl 2.9.0
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A parallel SSOR preconditioner. More...
#include <dune/istl/schwarz.hh>
Public Types | |
typedef M | matrix_type |
The matrix type the preconditioner is for. More... | |
typedef X | domain_type |
The domain type of the preconditioner. More... | |
typedef Y | range_type |
The range type of the preconditioner. More... | |
typedef X::field_type | field_type |
The field type of the preconditioner. More... | |
typedef C | communication_type |
The type of the communication object. More... | |
Public Member Functions | |
ParSSOR (const matrix_type &A, int n, field_type w, const communication_type &c) | |
Constructor. More... | |
virtual void | pre (X &x, Y &b) |
Prepare the preconditioner. More... | |
virtual void | apply (X &v, const Y &d) |
Apply the precondtioner. More... | |
virtual void | post (X &x) |
Clean up. More... | |
virtual SolverCategory::Category | category () const |
Category of the preconditioner (see SolverCategory::Category) More... | |
A parallel SSOR preconditioner.
M | The type of the sequential matrix to use, e.g. BCRSMatrix or another matrix type fulfilling the matrix interface of ISTL. |
X | The type of the sequential vector to use for the left hand side, e.g. BlockVector or another type fulfilling the ISTL vector interface. |
Y | The type of the sequential vector to use for the right hand side, e..g. BlockVector or another type fulfilling the ISTL vector interface. |
C | The type of the communication object. This must either be OwnerOverlapCopyCommunication or a type implementing the same interface. |
typedef C Dune::ParSSOR< M, X, Y, C >::communication_type |
The type of the communication object.
typedef X Dune::ParSSOR< M, X, Y, C >::domain_type |
The domain type of the preconditioner.
typedef X::field_type Dune::ParSSOR< M, X, Y, C >::field_type |
The field type of the preconditioner.
typedef M Dune::ParSSOR< M, X, Y, C >::matrix_type |
The matrix type the preconditioner is for.
typedef Y Dune::ParSSOR< M, X, Y, C >::range_type |
The range type of the preconditioner.
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inline |
Constructor.
constructor gets all parameters to operate the prec.
A | The matrix to operate on. |
n | The number of iterations to perform. |
w | The relaxation factor. |
c | The communication object for syncing overlap and copy data points. (E.~g. OwnerOverlapCopyCommunication ) |
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inlinevirtual |
Apply the precondtioner.
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. |
Implements Dune::Preconditioner< X, Y >.
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inlinevirtual |
Category of the preconditioner (see SolverCategory::Category)
Implements Dune::Preconditioner< X, Y >.
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inlinevirtual |
Clean up.
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. |
Implements Dune::Preconditioner< X, Y >.
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inlinevirtual |
Prepare the preconditioner.
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. |
Implements Dune::Preconditioner< X, Y >.