Numerical approximation of a unilateral obstacle problem

EB Mermri, W Han - Journal of Optimization Theory and Applications, 2012 - Springer
We consider a reformulation of the unilateral obstacle problem presented by the authors
(Addou and Mermri in Math-Rech. Appl. 2: 59–69, 2000). This reformulation introduces a …

A Uzawa algorithm with multigrid solver for a bilateral obstacle problem

M Bouchlaghem, EB Mermri - Applied Mathematics and Computation, 2021 - Elsevier
In this paper, we present a numerical study of a mixed formulation of the bilateral obstacle
problem with a non-homogeneous condition on the boundary. We define the discrete …

Regularization method and a posteriori error estimates for the bilateral obstacle problem

M Bouchlaghem, EB Mermri, Z Mellah - Gulf Journal of Mathematics, 2024 - gjom.org
In this paper, we present a relatively complete analysis of the regularization method for of
the bilateral obstacle problem with a non-homogeneous condition on the boundary. We …

Analysis of a mixed formulation of a bilateral obstacle problem

M Bouchlaghem, EB Mermri - Applied Mathematics and Computation, 2018 - Elsevier
In this paper we present a reformulation of a bilateral obstacle problem as a mixed
formulation problem based on subdifferential of a continuous function of which the …