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

Max-Planck-Institute for Mathematics in the Sciences
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  18th GAMM-Seminar
January, 24th-26th, 2002
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  Abstract Boris Vexler, Thu, 14.30-14.50 Previous Contents Next  
  Mesh Adaptation for Parameter Identification Problems
Boris Vexler (Uni Heidelberg)

We consider automatic mesh refinement for parameter identification problems involving PDEs. The state equation is discretized by the finite element method on locally refined meshes. The idea is to solve the inverse problem on a cheap discrete model which still captures the ``essential'' features of the physical problem under consideration. To this end, we derive an a posteriori error estimator for the error with respect to the unknown parameter. The estimator is used to successively improve the accuracy by appropriate mesh refinement. In addition, it gives the possibility of quantitative error control. Numerical results demonstrate the performance of the method.

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