Volume 12, Number 4, October 2006
|Page(s)||752 - 769|
|Published online||11 October 2006|
Asymptotics of an optimal compliance-location problem
Università di Pisa, Dip. di Matematica, Largo B. Pontecorvo, 5, 56127 Pisa, Italy; email@example.com
2 Scuola Normale Superiore, Classe di Scienze, Piazza dei Cavalieri, 7, 56126 Pisa, Italy; firstname.lastname@example.org
3 Collège Condorcet de Bresles, 60510 Bresles, France; email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.