Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type

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Springer

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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.

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fictitious domain method, shape optimization, Bernoulli's free boundary problems

Citation

Computational Optimization and Applications. 2003, vol. 26, no. 3, p. 231-251.