21st GAMM-Seminar Leipzig on
Robust Fast Solvers

Max-Planck-Institute for Mathematics in the Sciences
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  21st GAMM-Seminar
January, 26th-28th, 2005
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  Abstract Klaus Johannsen, Wed, 17.00-17.30 Previous Contents Next  
  A New ILU-type Smoother for Anisotropic Problems
Klaus Johannsen (Univ. Heidelberg)

Discrete systems arising from elliptic PDEs can be solved efficiently using multigrid methods. In many cases of practical interest the resulting linear equations exhibit strong isotropies. We present a new ILU-type smoother for this type of problems. Its robust smoothing property is investigated. Unlike the ILU(beta) scheme introduced in [Wittum 89], the scheme does not require a damping parameter. It can be easily extended to problems arising from systems of PDEs. Numerical experiments demonstrate its excellent smoothing properties.

[Wittum 89] On the robustness of ILU smoothing. SIAM J. Sci. Stat. Comput, 10: 699-717.

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Last updated:
28.01.2005 Impressum
Concept, Design and Realisation
[O->]Jens Burmeister (Uni Kiel), Kai Helms (MPI Leipzig)
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