dune-istl  2.2.1
Public Types | Public Member Functions | List of all members
Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA > Class Template Reference

Sequential overlapping Schwarz preconditioner. More...

#include <dune/istl/overlappingschwarz.hh>

Inheritance diagram for Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >:
Dune::Preconditioner< X, X >

Public Types

enum  { category = SolverCategory::sequential }
 
typedef M matrix_type
 The type of the matrix to precondition. More...
 
typedef X domain_type
 The domain type of the preconditioner. More...
 
typedef X range_type
 The range type of the preconditioner. More...
 
typedef TM Mode
 The mode (additive or multiplicative) of the Schwarz method. More...
 
typedef X::field_type field_type
 The field type of the preconditioner. More...
 
typedef matrix_type::size_type size_type
 The return type of the size method. More...
 
typedef TA allocator
 The allocator to use. More...
 
typedef std::set< size_type,
std::less< size_type >
, typename TA::template rebind
< size_type >::other > 
subdomain_type
 The type for the subdomain to row index mapping. More...
 
typedef std::vector
< subdomain_type, typename
TA::template rebind
< subdomain_type >::other > 
subdomain_vector
 The vector type containing the subdomain to row index mapping. More...
 
typedef SLList< size_type,
typename TA::template rebind
< size_type >::other > 
subdomain_list
 The type for the row to subdomain mapping. More...
 
typedef std::vector
< subdomain_list, typename
TA::template rebind
< subdomain_list >::other > 
rowtodomain_vector
 The vector type containing the row index to subdomain mapping. More...
 
typedef TD slu
 The type for the subdomain solver in use. More...
 
typedef std::vector< slu,
typename TA::template rebind
< slu >::other > 
slu_vector
 The vector type containing subdomain solvers. More...
 

Public Member Functions

 SeqOverlappingSchwarz (const matrix_type &mat, const subdomain_vector &subDomains, field_type relaxationFactor=1, bool onTheFly_=true)
 Construct the overlapping Schwarz method. More...
 
 SeqOverlappingSchwarz (const matrix_type &mat, const rowtodomain_vector &rowToDomain, field_type relaxationFactor=1, bool onTheFly_=true)
 
virtual void pre (X &x, X &b)
 Prepare the preconditioner. More...
 
virtual void apply (X &v, const X &d)
 Apply the precondtioner. More...
 
template<bool forward>
void apply (X &v, const X &d)
 Apply one step of the preconditioner to the system A(v)=d. More...
 
virtual void post (X &x)
 Clean up. More...
 

Detailed Description

template<class M, class X, class TM, class TD, class TA>
class Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >

Sequential overlapping Schwarz preconditioner.

Template Parameters
MThe matrix type.
XThe range and domain type.
TMThe Schwarz mode. Currently supported modes are AdditiveSchwarzMode, MultiplicativeSchwarzMode, and SymmetricMultiplicativeSchwarzMode. (Default values is AdditiveSchwarzMode)
TDThe type of the local subdomain solver to be used.
TAThe type of the allocator to use.

Member Typedef Documentation

template<class M, class X, class TM, class TD, class TA>
typedef TA Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::allocator

The allocator to use.

template<class M, class X, class TM, class TD, class TA>
typedef X Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::domain_type

The domain type of the preconditioner.

template<class M, class X, class TM, class TD, class TA>
typedef X::field_type Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::field_type

The field type of the preconditioner.

template<class M, class X, class TM, class TD, class TA>
typedef M Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::matrix_type

The type of the matrix to precondition.

template<class M, class X, class TM, class TD, class TA>
typedef TM Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::Mode

The mode (additive or multiplicative) of the Schwarz method.

Either AdditiveSchwarzMode or MultiplicativeSchwarzMode

template<class M, class X, class TM, class TD, class TA>
typedef X Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::range_type

The range type of the preconditioner.

template<class M, class X, class TM, class TD, class TA>
typedef std::vector<subdomain_list, typename TA::template rebind<subdomain_list>::other > Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::rowtodomain_vector

The vector type containing the row index to subdomain mapping.

template<class M, class X, class TM, class TD, class TA>
typedef matrix_type::size_type Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::size_type

The return type of the size method.

template<class M, class X, class TM, class TD, class TA>
typedef TD Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::slu

The type for the subdomain solver in use.

template<class M, class X, class TM, class TD, class TA>
typedef std::vector<slu, typename TA::template rebind<slu>::other> Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::slu_vector

The vector type containing subdomain solvers.

template<class M, class X, class TM, class TD, class TA>
typedef SLList<size_type, typename TA::template rebind<size_type>::other> Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::subdomain_list

The type for the row to subdomain mapping.

template<class M, class X, class TM, class TD, class TA>
typedef std::set<size_type, std::less<size_type>, typename TA::template rebind<size_type>::other> Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::subdomain_type

The type for the subdomain to row index mapping.

template<class M, class X, class TM, class TD, class TA>
typedef std::vector<subdomain_type, typename TA::template rebind<subdomain_type>::other> Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::subdomain_vector

The vector type containing the subdomain to row index mapping.

Member Enumeration Documentation

template<class M, class X, class TM, class TD, class TA>
anonymous enum
Enumerator
category 

The category the precondtioner is part of.

Member Function Documentation

template<class M, class X, class TM, class TD, class TA>
template<bool forward>
void Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::apply ( X &  v,
const X &  d 
)
virtual

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 \form#37 where \form#38 is the
 approximate inverse of the operator \form#39 characterizing 
 the preconditioner.
Parameters
[out]vThe update to be computed
dThe current defect.

Implements Dune::Preconditioner< X, X >.

template<class M, class X, class TM, class TD, class TA>
virtual void Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::post ( X &  x)
inlinevirtual

Clean up.

Clean up.

Implements Dune::Preconditioner< X, X >.

template<class M, class X, class TM, class TD, class TA>
virtual void Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >::pre ( X &  x,
X &  b 
)
inlinevirtual

Prepare the preconditioner.

Prepare the preconditioner.

Implements Dune::Preconditioner< X, X >.


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