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- Amal Bergam, Christine Bernardi, Zoubida Mghazli
- Math. Comput.
- 2005

We are interested in the discretization of parabolic equations, either linear or semilinear, by an implicit Euler scheme with respect to the time variable and finite elements with respect to the space variables. The main result of this paper consists of building error indicators with respect to both time and space approximations and proving their… (More)

- Amal Bergam, Zoubida Mghazli, Rüdiger Verfürth
- Numerische Mathematik
- 2003

- Rachid Mchich, Amal Bergam, Nadia Raïssi
- Acta biotheoretica
- 2005

We study the effects of density dependent migrations on the stability of a predator-prey model in a patchy environment which is composed with two sites connected by migration. The two patches are different. On the first patch, preys can find resource but can be captured by predators. The second patch is a refuge for the prey and thus predators do not have… (More)

- Mohammed Afif, Amal Bergam, Zoubida Mghazli, Rüdiger Verfürth
- Numerical Algorithms
- 2003

We analyze a residual error estimator for a finite volume discretization of a linear elliptic boundary value problem. The error estimator consists of the residual of the strong equation and the jumps across the inter-element boundaries of a primal triangulation. Some numerical experiments are presented.

- Amal Bergam, Christine Bernardi, Frédéric Hecht, Zoubida Mghazli
- Numerical Algorithms
- 2003

In this paper we study residual spatial error indicators for a parabolic equation already discretized with respect to the time variable and approximated with the mortar finite element method. A posteriori error estimates are given at each step of time and are based on a local residual, the jumps of the normal derivative through the interfaces between… (More)

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