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

Edouard Oudet (1)

1 LAMA - Laboratoire de Mathématiques

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 J. Osher and J. Sethian with the relaxed approach. This algorithm enables both changing the topology and working on a fixed regular grid.

Domaines: Equations aux dérivées partielles [math.AP]

Edouard Oudet. Numerical Minimization of eigenmodes of a membrane with respect to the domain. ESAIM: Control, Optimisation and Calculus of Variations, 2004, 10 (3), pp.315--330. ⟨hal-00384996⟩