Geodesic
Numerical minimization of eigenmodes of a membrane with respect to the domain
ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 3, pp. 315-330

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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.

DOI : 10.1051/cocv:2004011
Classification : 1991
Keywords: shape optimization, eigenvalue, level set, relaxation 
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     title = {Numerical minimization of eigenmodes of a membrane with respect to the domain},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {315--330},
     publisher = {EDP-Sciences},
     volume = {10},
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     year = {2004},
     doi = {10.1051/cocv:2004011},
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     zbl = {1076.74045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004011/}
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Oudet, Édouard. Numerical minimization of eigenmodes of a membrane with respect to the domain. ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 3, pp. 315-330. doi: 10.1051/cocv:2004011

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