Solution of the implicitly discretised fluid flow equations by operator-splitting
Journal of Computational Physics
Asynchronous iterations and order intervals
Proceedings of the international workshop on Parallel algorithms & architectures
Parallel efficiency of domain decomposition methods
Parallel Computing
A new class of asynchronous iterative algorithms with order intervals
Mathematics of Computation
SIAM Journal on Numerical Analysis
Asynchronous iterations with flexible communication: contracting operators
Journal of Computational and Applied Mathematics
Journal of Parallel and Distributed Computing
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This paper deals with the implementation on the Grid'5000 network, the French grid platform, of parallel simulations for the solution of a 3D coupled boundary value problem. This problem models continuous flow electrophoresis which is governed by Navier Stokes equations coupled with convection-diffusion and potential equations. The coupled boundary value problems are discretised by appropriate schemes involving the convergence of the parallel synchronous and asynchronous Schwarz alternating algorithms. Finally, parallel experiments on grid computing are presented and analyzed.