Optimal shape design for systems governed by variational inequalities, part 2: Existence theory for the evolution case

Liu, Wenbin and Rubio, J.E. (1991) Optimal shape design for systems governed by variational inequalities, part 2: Existence theory for the evolution case. Journal of Optimization Theory and Applications, 69 (2). pp. 373-396. ISSN 0022-3239. (doi:https://doi.org/10.1007/BF00940650) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1007/BF00940650

Abstract

Some general existence results for optimal shape design problems for systems governed by parabolic variational inequalities are established by the mapping method and variational convergence theory. Then, an existence theorem is given for the optimal shape for an electrochemical machining problem, in which the cost functional is not lower semicontinuous, by extending the general results to this case. Furthermore, this problem is approximated by a set of optimal shape design problems which have more smooth cost functionals and are easier to handle computationally.

Item Type: Article
Uncontrolled keywords: evolution variational inequalities, existence theorems, Optimal shape design, variational convergence theory, Electrochemistry, Mathematical Techniques - Variational Techniques, Metals and Alloys - Machining, Optimization, Electrochemical Machining, Evolution Variational Inequalities, Geometric Design, Mapping Methods, Shape Design, Variational Convergence Theory, Engineering
Subjects: Q Science > Operations Research - Theory
Divisions: Faculties > Social Sciences > Kent Business School
Faculties > Social Sciences > Kent Business School > Management Science
Depositing User: Steve Wenbin Liu
Date Deposited: 27 Nov 2013 09:33 UTC
Last Modified: 07 Mar 2017 09:15 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/36862 (The current URI for this page, for reference purposes)
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