Preconditioners
[Iterative Solvers]


Detailed Description

All of our Krylow solvers are preconditioned versions. There are sequential preconditioners (e,g. SeqJacobi, SeqSOR, SeqSSOR) as well as parallel preconditioners (e.g. AMG, BlockPreconditioner) available for plugging them into the solvers together with matching ScalarProducts.

Some of the available perconditioners (e.g. SeqJacobi, SeqSOR, SeqSSOR)) may be given an aditional int as a template parameter, the block recursion level. These preconditioners can be used on blockrecursive matrices with an arbitrary hierarchy depths (eg. BCRSMatrix<BCRSMatrix<FieldMatrix,n,m> > >. Given a block recursion level $k$ those preconditioners work as normal on the offdiagonal blocks, treating them as traditional matrix entries. For the diagonal values a special procedure applies: If $k>1$ the diagonal is treated as a matrix itself and the preconditioner is applied recursively on the matrix representing the diagonal value $D=A_{ii}$ with block level $k-1$. For the case that $k=1$ the diagonal is treated as a matrix entry resulting in a linear solve or an identity operation depending on the algorithm.


Files

file  preconditioners.hh
 Define general preconditioner interface.

Modules

 Parallel Algebraic Multigrid
 A Parallel Algebraic Multigrid based on Agglomeration.

Classes

class  Dune::Preconditioner< X, Y >
 Base class for matrix free definition of preconditioners. More...
class  Dune::SeqSSOR< M, X, Y, l >
 Sequential SSOR preconditioner. More...
class  Dune::SeqSOR< M, X, Y, l >
 Sequential SOR preconditioner. More...
class  Dune::SeqGS< M, X, Y, l >
 Sequential Gauss Seidel preconditioner. More...
class  Dune::SeqJac< M, X, Y, l >
 The sequential jacobian preconditioner. More...
class  Dune::SeqILU0< M, X, Y >
 Sequential ILU0 preconditioner. More...
class  Dune::SeqILUn< M, X, Y >
 Sequential ILU(n) preconditioner. More...
class  Dune::ParSSOR< M, X, Y, C >
 A parallel SSOR preconditioner. More...
class  Dune::BlockPreconditioner< X, Y, C, T >
 Block parallel preconditioner. More...

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