18th GAMM-Seminar Leipzig on
Multigrid and related methods for optimization problems

Max-Planck-Institute for Mathematics in the Sciences
Inselstr. 22-26, D-04103 [O->]Leipzig
Phone: +49.341.9959.752, Fax: +49.341.9959.999

  18th GAMM-Seminar
January, 24th-26th, 2002
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  Multigrid for optimization solvers
Volker Schulz (Uni Trier)

Multigrid methods are solution strategies for discretized PDE of lowest computational complexity. In particular, this problem class includes also saddle-point-type problems like the Stokes equation. In this talk, we demonstrate that these methods can be profitably used also within solution routines for model based optimization problems, where the model consists of PDE.

On the one hand, of course, multigrid methods can be employed for the solution of linearized model equations within an optimization routine with advantage. On the other hand, the whole optimization procedure can be reformulated in a form appropriate for the application of multigrid methods -- in a similar style like multigrid methods are used for Stokes problems. The saddle point problems arising in the latter approach, however, differ significantly from the variational-type saddle point problems mentioned above.

In this talk, we give a survey on various possibilities for using multigrid methods for the solution of optimization problems and demonstrate their practical usability.

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