Asymptotics of an optimal compliance-location problem
Università di Pisa, Dip. di Matematica, Largo B. Pontecorvo, 5, 56127 Pisa, Italy; firstname.lastname@example.org
2 Scuola Normale Superiore, Classe di Scienze, Piazza dei Cavalieri, 7, 56126 Pisa, Italy; email@example.com
3 Collège Condorcet de Bresles, 60510 Bresles, France; firstname.lastname@example.org
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.
Mathematics Subject Classification: 49J45 / 49Q10 / 74P05
Key words: Compliance / optimal location / shape optimization / Γ-convergence.
© EDP Sciences, SMAI, 2006