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Numerical minimization of eigenmodes of a membrane with respect to the domain

Published online by Cambridge University Press:  15 June 2004

Édouard Oudet
Édouard Oudet*
Affiliation:
Institut de Recherche Mathématique Avancée, Université Louis Pasteur, 67084 Strasbourg Cedex, France; Edouart.Oudet@univ-savoie.fr.
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Abstract

In this paper we introduce a numerical approach adapted to the minimization of the eigenmodes of a membrane with respect to the domain. This method is based on the combination of the Level Set method of S. Osher and J.A. Sethian with the relaxed approach. This algorithm enables both changing the topology and working on a fixed regular grid.

Keywords

Shape optimizationeigenvaluelevel setrelaxation.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 10 , Issue 3 , July 2004 , pp. 315 - 330
Copyright
© EDP Sciences, SMAI, 2004

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