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Chipot, M; Elfanni, A (2001). Some remarks on nonuniqueness of minimizers for discrete minimization problems. Journal of Applied Analysis, 7(2):191-208.
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.
| 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: | 07 Apr 2025 03:38 |
| 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 |
Chipot, M