Parallel implementation of a monotone domain decomposition algorithm for nonlinear reaction-diffusion problems

M. P. Hardy, I. Boglaev

Abstract


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 effected 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 algorithm improves as the number of mesh points is increased.

Full Text:

PDF BibTeX


DOI: http://dx.doi.org/10.21914/anziamj.v46i0.960



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.