Dune::NonoverlappingBlockPreconditioner< C, P > Class Template Reference
[Scalar products]

Nonoverlapping parallel preconditioner. More...

#include <dune/istl/novlpschwarz.hh>

Inheritance diagram for Dune::NonoverlappingBlockPreconditioner< C, P >:
Inheritance graph

List of all members.

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 > >

Detailed Description

template<class C, class P>
class Dune::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.


Member Typedef Documentation

template<class C, class P>
typedef C Dune::NonoverlappingBlockPreconditioner< C, P >::communication_type

The type of the communication object.

template<class C, class P>
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.

template<class C, class P>
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 >.


Member Enumeration Documentation

template<class C, class P>
anonymous enum
Enumerator:
category 

The category the preconditioner is part of.


Constructor & Destructor Documentation

template<class C, class P>
Dune::NonoverlappingBlockPreconditioner< C, P >::NonoverlappingBlockPreconditioner ( P &  prec,
const communication_type c 
) [inline]

Constructor.

constructor gets all parameters to operate the prec.

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

Member Function Documentation

template<class C, class P>
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 $ 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.
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.

Parameters:
x The right hand side of the equation.
template<class C, class P>
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.

Parameters:
x The left hand side of the equation.
b The right hand side of the equation.
template<class C, class P>
virtual void Dune::NonoverlappingBlockPreconditioner< C, P >::pre ( domain_type x,
range_type b 
) [inline, virtual]

Prepare the preconditioner.


Friends And Related Function Documentation

template<class C, class P>
friend class Amg::ConstructionTraits< NonoverlappingBlockPreconditioner< C, P > > [friend]

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

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