Asymptotics of an optimal compliance-location problem

Giuseppe Buttazzo; Filippo Santambrogio; Nicolas Varchon

ESAIM: Control, Optimisation and Calculus of Variations (2006)

  • Volume: 12, Issue: 4, page 752-769
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Buttazzo, Giuseppe, Santambrogio, Filippo, and Varchon, Nicolas. "Asymptotics of an optimal compliance-location problem." ESAIM: Control, Optimisation and Calculus of Variations 12.4 (2006): 752-769. <http://eudml.org/doc/249616>.

@article{Buttazzo2006,
abstract = { 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. },
author = {Buttazzo, Giuseppe, Santambrogio, Filippo, Varchon, Nicolas},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Compliance; optimal location; shape optimization; Γ-convergence.; compliance; -convergence},
language = {eng},
month = {10},
number = {4},
pages = {752-769},
publisher = {EDP Sciences},
title = {Asymptotics of an optimal compliance-location problem},
url = {http://eudml.org/doc/249616},
volume = {12},
year = {2006},
}

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
DA - 2006/10//
PB - EDP Sciences
VL - 12
IS - 4
SP - 752
EP - 769
AB - 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.
LA - eng
KW - Compliance; optimal location; shape optimization; Γ-convergence.; compliance; -convergence
UR - http://eudml.org/doc/249616
ER -

References

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