20th GAMM-Seminar Leipzig on
Numerical Methods for Non-Local Operators

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

  20th GAMM-Seminar
January, 22th-24th, 2004
  Winterschool on hierarchical matrices  
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  Abstract Helmut Harbrecht, Thu, 15.00-15.30 Previous Contents Next  
  Shape optimization using wavelet BEM
Helmut Harbrecht (University Kiel)

This talk is concerned with the numerical solution of shape optimization problems for linear elliptic boundary value problems. In particular, we treat shape problems from planar elasticity and electromagnetics.

The underlying state function satisfies a Poisson equation on the actual domain, the so-called state equation. For application of first and second order optimization algorithms the state function itself as well as its higher order normal and tangential derivatives must be computed.

The state equation has to be solved very often during the optimization process. Therefore, fast methods are indispensible for its solution. We use a boundary integral formulation

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