Kogut PI, Leugering G (2001)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2001
Publisher: IOS Press
Book Volume: 26
Pages Range: 37-72
Journal Issue: 1
URI: http://content.iospress.com/articles/asymptotic-analysis/asy438
We consider the optimal control problems for the linear elliptic equations in perforated domains. Each components of mathematical description of such optimal control problem depends on small parameter epsilon. Problems of this type appear in sensitivity analysis, perturbation theory, and homogenization of heterogenous material. We study the problem of passing to the limit within the framework of variational S-convergence. We derive conditions under which the so-called fictitious limiting optimal control problem can be made explicit.
APA:
Kogut, P.I., & Leugering, G. (2001). Homogenization of optimal control problems in variable domains. Principle of the fictitious homogenization. Asymptotic Analysis, 26(1), 37-72.
MLA:
Kogut, Peter I., and Günter Leugering. "Homogenization of optimal control problems in variable domains. Principle of the fictitious homogenization." Asymptotic Analysis 26.1 (2001): 37-72.
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