# 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

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topButtazzo, 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 -

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