Inserted: 31 may 2005
Last Updated: 19 oct 2006
Journal: ESAIM: COCV
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 $\Gamma-$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.
Keywords: shape optimization, compliance, optimal location, $\Gamma-$convergence