Parallel cloud solution of large algebraic multivalued systems

MA Rahhali, T Garcia, P Spitéri - Applied Numerical Mathematics, 2025 - Elsevier
The present paper deals with the resolution on cloud architecture of synchronous and
asynchronous iterative parallel algorithms of stationary or evolution variational inequations …

Performances analysis of parallel asynchronous and synchronous algorithms on cloud architecture for PDE

MA Rahhali, T Garcia, P Spitéri - Advances in Engineering Software, 2023 - Elsevier
In order to solve discretized stationary linear or non linear diffusion and convection–diffusion
problems, the present paper deals with a comparison between the performances of parallel …

Parallel asynchronous algorithms: A survey

P Spiteri - Advances in Engineering Software, 2020 - Elsevier
This paper deals with a synthetic presentation of parallel iterative asynchronous algorithms
and their extensions for the solution of large sparse linear or pseudo-linear algebraic …

Solution of univalued and multivalued pseudo-linear problems using parallel asynchronous multisplitting methods combined with Krylov methods

T Garcia, P Spiteri, L Ziane-Khodja… - Advances in Engineering …, 2021 - Elsevier
The paper improves a preliminary experimental study on a cluster by adding both theoretical
results and experimental tests on a grid platform. These algorithms solve univalued and …

[PDF][PDF] A numerical solution of a coupling system of conformable time-derivative two-dimensional Burger's equations

I Mous, A Laouar - Kragujevac J Mathem, 2024 - imi.pmf.kg.ac.rs
1. Introduction In the last two decades, the fractional derivatives regained an important
interest, and have been widely used in various fields, such as modelling viscoelastic …

Algorithmes Parallèles Asynchrones: implémentation et simulation d'applications modélisées par des équations pseudo-linéaires.

T Garcia - 2024 - hal.science
The work presented in this dissertation concerns parallel algorithmic work carried out over
the last fifteen years. More specifically, it presents in detail the implementation of …

[PDF][PDF] A mixed formulation in conjunction with the penalization method for solving the bilaplacian problem with obstacle type constraints

A Hannache, A Laouar, H Sissaoui - Malays. J. Math. Sci, 2019 - mjms.upm.edu.my
In this paper we consider a mixed formulation for study of the bilaplacian problem with
obstacle constraints in conjunction with the penalization method. The idea is based on the …

Synthetic presentation of iterative asynchronous parallel algorithms.

P Spiteri - 6th International Conference on Parallel, Distributed …, 2019 - hal.science
Iterative asynchronous parallel methods are nowadays gaining renewed interest in the
community of researchers interested in High Performance Computing (HPC), in the specific …

Asynchronous parallel multi-splitting mixed methods

P Spitéri, L Ziane-Khodja, R Couturier - 6th International Conference on …, 2019 - hal.science
Résumé The present study deals with the solution of univalued pseudo-linear problems
using parallel asynchronous multisplitting methods. With appropriate and realistic …

An Accelerate Process for the Successive Approximations Method In the Case of Monotonous Convergence

A Laouar, I Mous - Applications and Applied …, 2018 - digitalcommons.pvamu.edu
We study an iterative process to accelerate the successive approximations method in a
monotonous convergence framework. It consists in interrupting the sequence of the …