Optimal shape design for systems governed by variational inequalities, part 1: Existence theory for the elliptic case

Liu, Wenbin, Rubio, J.E. (1991) Optimal shape design for systems governed by variational inequalities, part 1: Existence theory for the elliptic case. Journal of Optimization Theory and Applications, 69 (2). pp. 351-371. ISSN 0022-3239. (doi:10.1007/BF00940649) (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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http://dx.doi.org/10.1007/BF00940649

Abstract

Some general existence results for optimal shape design problems for systems governed by elliptic 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
DOI/Identification number: 10.1007/BF00940649
Uncontrolled keywords: elliptic variational inequalities, existence theorems, Optimal shape design, variational convergence theory, Electrochemistry, Mathematical Techniques - Variational Techniques, Metals and Alloys - Machining, Optimization, Electrochemical Machining, Existence Theorems, Geometric Design, Mapping Method, Shape Design, Variational Convergence Theory, Engineering
Subjects: Q Science > Operations Research - Theory
Divisions: Faculties > Social Sciences > Kent Business School > Management Science
Depositing User: Steve Wenbin Liu
Date Deposited: 27 Nov 2013 09:28 UTC
Last Modified: 29 May 2019 11:29 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/36861 (The current URI for this page, for reference purposes)
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