We consider the problem of placing a Dirichlet region made by small balls of given radius in a given domain subject to a force in order to minimize the compliance of the configuration. Then we let tend to infinity and look for the 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.
Mots clés : compliance, optimal location, shape optimization, $\Gamma -$convergence
@article{COCV_2006__12_4_752_0,
author = {Buttazzo, Giuseppe and Santambrogio, Filippo and Varchon, Nicolas},
title = {Asymptotics of an optimal compliance-location problem},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {752--769},
publisher = {EDP-Sciences},
volume = {12},
number = {4},
year = {2006},
doi = {10.1051/cocv:2006020},
mrnumber = {2266816},
zbl = {1114.49016},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv:2006020/}
}
TY - JOUR AU - Buttazzo, Giuseppe AU - Santambrogio, Filippo AU - Varchon, Nicolas TI - Asymptotics of an optimal compliance-location problem JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2006 SP - 752 EP - 769 VL - 12 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2006020/ DO - 10.1051/cocv:2006020 LA - en ID - COCV_2006__12_4_752_0 ER -
%0 Journal Article %A Buttazzo, Giuseppe %A Santambrogio, Filippo %A Varchon, Nicolas %T Asymptotics of an optimal compliance-location problem %J ESAIM: Control, Optimisation and Calculus of Variations %D 2006 %P 752-769 %V 12 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2006020/ %R 10.1051/cocv:2006020 %G en %F COCV_2006__12_4_752_0
Buttazzo, Giuseppe; Santambrogio, Filippo; Varchon, Nicolas. Asymptotics of an optimal compliance-location problem. ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 4, pp. 752-769. doi : 10.1051/cocv:2006020. http://www.numdam.org/articles/10.1051/cocv:2006020/
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