Dune::BlockPreconditioner< X, Y, C, T > Class Template Reference
[Preconditioners]

#include <schwarz.hh>

Inheritance diagram for Dune::BlockPreconditioner< X, Y, C, T >:

Dune::Preconditioner< X, Y >

List of all members.


Detailed Description

template<class X, class Y, class C, class T = Preconditioner<X,Y>>
class Dune::BlockPreconditioner< X, Y, C, T >

Block 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 updates on all other processes.

Public Types

enum  { category = SolverCategory::overlapping }
typedef X domain_type
 The domain type of the preconditioner.
typedef Y range_type
 The range type of the preconditioner.
typedef X::field_type field_type
 The field type of the preconditioner.
typedef C communication_type
 The type of the communication object.

Public Member Functions

 BlockPreconditioner (T &p, const communication_type &c)
 Constructor.
virtual void pre (X &x, Y &b)
 Prepare the preconditioner.
virtual void apply (X &v, const Y &d)
 Apply the preconditioner.
virtual void post (X &x)
 Clean up.


Member Enumeration Documentation

template<class X, class Y, class C, class T = Preconditioner<X,Y>>
anonymous enum

Enumerator:
category  The category the precondtioner is part of.


Constructor & Destructor Documentation

template<class X, class Y, class C, class T = Preconditioner<X,Y>>
Dune::BlockPreconditioner< X, Y, C, T >::BlockPreconditioner ( T &  p,
const communication_type c 
) [inline]

Constructor.

constructor gets all parameters to operate the prec.

Parameters:
p The sequential preconditioner.
c The communication object for syncing overlap and copy data points. (E.~g. OwnerOverlapCommunication )


Member Function Documentation

template<class X, class Y, class C, class T = Preconditioner<X,Y>>
virtual void Dune::BlockPreconditioner< X, Y, C, T >::pre ( X &  x,
Y &  b 
) [inline, virtual]

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.

Parameters:
x The left hand side of the equation.
b The right hand side of the equation.

Implements Dune::Preconditioner< X, Y >.

template<class X, class Y, class C, class T = Preconditioner<X,Y>>
virtual void Dune::BlockPreconditioner< X, Y, C, T >::apply ( X &  v,
const Y &  d 
) [inline, virtual]

Apply the preconditioner.

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 $ v = M^{-1} d $ where $ M $ is the approximate inverse of the operator $ A $ characterizing the preconditioner.

Parameters:
[out] v The update to be computed
d The current defect.

Implements Dune::Preconditioner< X, Y >.

template<class X, class Y, class C, class T = Preconditioner<X,Y>>
virtual void Dune::BlockPreconditioner< X, Y, C, T >::post ( X &  x  )  [inline, virtual]

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.

Parameters:
x The right hand side of the equation.

Implements Dune::Preconditioner< X, Y >.


The documentation for this class was generated from the following file:

Generated on Thu Apr 2 10:40:17 2009 for dune-istl by  doxygen 1.5.6