On the numerical approximation of a class of quasi-variational inequalities with term sources depending on the solution = Sur l’appproximation numérique d’une classe d’inéquation quasi- variationnelles avec des termes sources dépendants de la solution
No Thumbnail Available
Date
2026
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Université Badji Mokhtar Annaba
Abstract
This thesis focuses on the numerical study of non-coercive elliptic quasi variational inequalities i n which both the obstacle and the right-hand side depend on the solution. We propose two distinct iterative approaches to solve this problem. For the first, we prove a geometric convergence theorem; while the second establishes the uniform convergence of the solutions. In both cases, we obtain an optimal error estimate between the continuous solution m and the discrete solution mh.
Description
Keywords
algorithmic approach; elliptic variational inequalities;
elliptic quasi-variational inequalities; finite element method; maximum norm analysis; error estimate