Asymptotics of an optimal compliance-location problem
Classical Analysis and ODEs
2007-05-23 v3 Optimization and Control
Abstract
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.
Cite
@article{arxiv.math/0503426,
title = {Asymptotics of an optimal compliance-location problem},
author = {G. Buttazzo and F. Santambrogio and N. Varchon},
journal= {arXiv preprint arXiv:math/0503426},
year = {2007}
}
Comments
20 pages with 2 figures; final accepted version (minor changes, some extra details on the positivity assumption on $f$)