Parallel implementation of a monotone domain decomposition algorithm for nonlinear reaction-diffusion problems
Recently, a monotone iterative domain decomposition algorithm has been proposed for the numerical solution of nonlinear singularly perturbed reaction-diffusion problems. This paper describes a parallel implementation of the algorithm on a distributed memory cluster. Interprocess communication is affected by means of the MPI message passing library. For various domain decompositions, we give the convergence iteration count and execution time on up to 16 processors. The parallel scale-up of the...[Show more]
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