الباحثون

Messaoud Boulbrachene

· ORCID 0000-0002-4182-4941

المنشورات 2

مقال بحثي وصول مفتوح

Finite Element Convergence Analysis of a Schwarz Alternating Method for Nonlinear Elliptic PDEs

Messaoud Boulbrachene · مجلة جامعة السلطان قابوس للعلوم · 2020 · 10.24200/squjs.vol24iss2pp109-121

In this paper, we prove uniform convergence of the standard finite element method for a Schwarz alternating procedure for nonlinear elliptic partial differential equations in the context of linear subdomain problems and nonmatching grids. The method stands on the combination of the convergence of linear Schwarz sequenc …

مقال بحثي وصول مفتوح

Finite Element Approximation of Variational Inequalities: An Algorithmic Approach

Messaoud Boulbrachene · مجلة جامعة السلطان قابوس للعلوم · 2018 · 10.24200/squjs.vol22iss2pp114-119

In this paper, we introduce a new method to analyze the convergence of the standard finite element method for elliptic variational inequalities with noncoercive operators (VI). The method consists of combining the so-called Bensoussan-Lions algorithm with the characterization of the solution, in both the continuous and …