Asymptotics of an optimal compliance-location problem
ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 4, pp. 752-769.

We consider the problem of placing a Dirichlet region made by n small balls of given radius in a given domain subject to a force f in order to minimize the compliance of the configuration. Then we let n tend to infinity and look for the Γ-limit of suitably scaled functionals, in order to get informations on the asymptotical distribution of the centres of the balls. This problem is both linked to optimal location and shape optimization problems.

DOI : 10.1051/cocv:2006020
Classification : 49J45, 49Q10, 74P05
Mots-clés : compliance, optimal location, shape optimization, Γ−convergence 
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     title = {Asymptotics of an optimal compliance-location problem},
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Buttazzo, Giuseppe; Santambrogio, Filippo; Varchon, Nicolas. Asymptotics of an optimal compliance-location problem. ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 4, pp. 752-769. doi : 10.1051/cocv:2006020. https://www.numdam.org/articles/10.1051/cocv:2006020/

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