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Some remarks on nonuniqueness of minimizers for discrete minimization problems


Chipot, M; Elfanni, A (2001). Some remarks on nonuniqueness of minimizers for discrete minimization problems. Journal of Applied Analysis, 7(2):191-208.

Abstract

We investigate the issue of uniqueness and nonuniqueness of minimizers for the approximation of variational problems. We show that when the continuous problem does not admit a minimizer its approximation by finite elements may lead to several discrete minimizers.

Abstract

We investigate the issue of uniqueness and nonuniqueness of minimizers for the approximation of variational problems. We show that when the continuous problem does not admit a minimizer its approximation by finite elements may lead to several discrete minimizers.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Mathematical Physics
Social Sciences & Humanities > Statistics, Probability and Uncertainty
Physical Sciences > Computational Theory and Mathematics
Physical Sciences > Applied Mathematics
Uncontrolled Keywords:Approximation, non-convex, calculus of variations, minimizers, finite elements
Language:English
Date:2001
Deposited On:28 Jun 2010 08:53
Last Modified:29 Jul 2020 19:44
Publisher:Heldermann
ISSN:1425-6908
OA Status:Green
Free access at:Official URL. An embargo period may apply.
Publisher DOI:https://doi.org/10.1515/JAA.2001.191
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1009.49026

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