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A numerical method for shape and topology optimization for semilinear elliptic equation

Jean-François Scheid 1, 2 Jan Sokolowski 2 Katarzyna Szulc 2
1 CORIDA - Robust control of infinite dimensional systems and applications
IECN - Institut Élie Cartan de Nancy, LMAM - Laboratoire de Mathématiques et Applications de Metz, Inria Nancy - Grand Est
Abstract : Shape optimization problem for semilinear elliptic equation is considered. There is an optimal solution which is computed by the Levelset method. To this end the shape derivative of the functional is evaluated. In order to predict the topology changes the topological derivative is employed. Numerical results confirm that the proposed framework for numerical solution of shape optimization problems is efficient.
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https://hal.archives-ouvertes.fr/hal-00589922
Contributor : Jean-Francois Scheid <>
Submitted on : Friday, January 22, 2021 - 3:57:54 PM
Last modification on : Friday, February 26, 2021 - 3:22:15 AM

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Jean-François Scheid, Jan Sokolowski, Katarzyna Szulc. A numerical method for shape and topology optimization for semilinear elliptic equation. MMAR 2010 : 15th International Conference on Methods & Models in Automation & Robotics, Aug 2010, Miedzyzdroje, Poland. pp.290-295, ⟨10.1109/MMAR.2010.5587220⟩. ⟨hal-00589922⟩

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