Skip to main content
Kent Academic Repository

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

Liu, Wenbin, 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: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) (KAR id:36862)

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.
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
DOI/Identification number: 10.1007/BF00940650
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: Divisions > Kent Business School - Division > Kent Business School (do not use)
Depositing User: Steve Liu
Date Deposited: 27 Nov 2013 09:33 UTC
Last Modified: 16 Nov 2021 10:13 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/36862 (The current URI for this page, for reference purposes)

University of Kent Author Information

  • Depositors only (login required):

Total unique views for this document in KAR since July 2020. For more details click on the image.