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Shape Optimization and Fictitious Domain Approach for Solving Free Boundary Problems of Bernoulli Type |
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| Authors: | J T Haslinger K Kunisch G Peichl |
| Institution: | (1) Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, 121 16 Praha 2, Czech Republic;(2) Technical University of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech Republic;(3) Department for Mathematics, University Graz, Heinrichstrasse 36, A-8010 Graz, Austria |
| Abstract: | This contribution deals with an efficient method for the numerical realization of the exterior and interior Bernoulli free boundary problems. It is based on a shape optimization approach. The state problems are solved by a fictitious domain solver using boundary Lagrange multipliers. |
| Keywords: | fictitious domain method shape optimization Bernoulli's free boundary problems |
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