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André, N; Chipot, M (1996). Uniqueness and nonuniqueness for the approximation of quasilinear elliptic equations. SIAM Journal on Numerical Analysis, 33(5):1981-1994.
We investigate the issue of uniqueness and nonuniqueness for the approximate solution of quasilinear elliptic equations. In particular we show that even if the continuous problem admits a unique solution, its approximation by finite elements may lead to several approximate solutions. ©1996 Society for Industrial and Applied Mathematics
| 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 > Numerical Analysis
Physical Sciences > Computational Mathematics Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | approximation, quasilinear elliptic equations, finite elements |
| Language: | English |
| Date: | 1996 |
| Deposited On: | 02 Aug 2010 08:26 |
| Last Modified: | 07 Jan 2025 04:42 |
| Publisher: | Society for Industrial and Applied Mathematics |
| ISSN: | 0036-1429 |
| Additional Information: | ©1996 Society for Industrial and Applied Mathematics |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1137/S0036142994267400 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1411859 |
André, N