On Optimal Control of a Free Surface Flow |
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Authors: | Sabine Repke Nicole Marheineke |
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Affiliation: | 1. Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Fraunhofer Platz 1, D-67663 Kaiserslautern;2. Technische Universität Kaiserslautern, Fachbereich Mathematik, Erwin-Schrödinger Str., D-67663 Kaiserslautern |
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Abstract: | We discuss an optimal control approach for a 2D Stokes flow with a free surface. The aim is to optimize the shape of a polymer film by adjusting the ambient pressure in a casting process. The resulting minimization problem is solved by the method of steepest descent. Numerical results will be presented. Furthermore we state the adjoint system for the Lagrangian formalism. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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