UNIQUENESS AND NONUNIQUENESS FOR THE APPROXIMATION OF QUASI-LINEAR ELLIPTIC-EQUATIONS

Authors
ANDRE N CHIPOT M
Citation
N. Andre et M. Chipot, UNIQUENESS AND NONUNIQUENESS FOR THE APPROXIMATION OF QUASI-LINEAR ELLIPTIC-EQUATIONS, SIAM journal on numerical analysis, 33(5), 1996, pp. 1981-1994
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
33
Issue
5
Year of publication
1996
Pages
1981 - 1994
Database
ISI
SICI code
0036-1429(1996)33:5<1981:UANFTA>2.0.ZU;2-6
Abstract
We investigate the issue of uniqueness and nonuniqueness for the appro ximate solution of quasilinear elliptic equations. In particular we sh ow that even if the continuous problem admits a unique solution, its a pproximation by finite elements may lead to several approximate soluti ons.