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.
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: | 23 Jan 2022 14:40 |
| 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