Numerical minimization of eigenmodes of a membrane with respect to the domain
Institut de Recherche Mathématique Avancée,
Université Louis Pasteur, 67084 Strasbourg Cedex, France; Edouart.Oudet@univ-savoie.fr.
Revised: 10 October 2003
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.
Mathematics Subject Classification: 1991
Key words: Shape optimization / eigenvalue / level set / relaxation.
© EDP Sciences, SMAI, 2004