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An embedding domain approach for a class of 2-d shape optimization problems: mathematical analysis |
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| Authors: | J. Haslinger T. Kozubek K. Kunisch G. Peichl |
| Affiliation: | a Department of Metal Physics, Charles University Prague, Ke Karlovu 5, 121 16, Prague 2, Czech Republic;b Department of Applied Mathematics, VSB-Technical University Ostrava, 17. listopadu 15, 708 33, Ostrava 8, Czech Republic;c Department for Mathematics, University of Graz, Heinrichstrasse 36, A-8010, Graz, Austria |
| Abstract: | This contribution combines a shape optimization approach to free boundary value problems of Bernoulli type with an embedding domain technique. A theoretical framework is developed which allows to prove continuous dependence of the primal and dual variables in the resulting saddle point problems with respect to the domain. This ensures the existence of a solution of a related shape optimization problem in a sufficiently large class of admissible domains. |
| Keywords: | Shape optimization Embedding domain technique Bernoulli problem |
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