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On the numerical approximation of a class of quasi-variational inequalities with term sources depending on the solution

Type doc. :

Thèses / mémoires

Langue :

Anglais

Année de soutenance:

2026

Thème :

Mathématiques
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This thesis focuses on the numerical study of non-coercive elliptic quasi variational inequalities in 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.



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Amari, N. & Harbi, A. (2026). On the numerical approximation of a class of quasi-variational inequalities with term sources depending on the solution (Doctorat) . Université Badji Mokhtar Annaba.