Asymptotics of an optimal compliance-location problem
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We consider the problem of placing n small balls of given radius in a certain domain subject to a force f in order to minimize the compliance of the configuration. Then we let n tend to infinity and look at the asymptotics of the minimization problem, after properly scaling the functionals involved, and to the limit distribution of the centres of the balls. This problem is both linked to optimal location and shape optimization problems.
20 pages with 2 figures; final accepted version (minor changes, some extra details on the positivity assumption on $f$)
20 pages with 2 figures; final accepted version (minor changes, some extra details on the positivity assumption on $f$)