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A four-color parallel algorithm for the solution of a two-dimensional advection-diffusion equation with the finite element method

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Abstract

Reordering schemes associated with multicoloring and domain decomposition techniques have been introduced in recent years to obtain parallel and/or vectorized versions of recursive linear solvers such as the Gauss-Seidel SOR scheme (Ortega and Voigt, 1986; White, 1989). In this paper we give a brief account of the successfull implementation of a four-color Gauss-Seidel parallel algorithm for the solution of block-tridiagonal matrices resulting from the finite-element discretization of a two-dimensional advection-diffusion equation. Performance data referring to the implementation on the IBM 3090/400 vector multiprocessor are reported and commented on.

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Authors and Affiliations

  1. European Center for Scientific and Engineering Computing, IBM/ECSEC, Via del Giorgione 159, 00147, Rome, Italy

    Sauro Succi & Maurizio Benassi

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  1. Sauro Succi
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  2. Maurizio Benassi
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Succi, S., Benassi, M. A four-color parallel algorithm for the solution of a two-dimensional advection-diffusion equation with the finite element method. J Sci Comput 4, 61–70 (1989). https://doi.org/10.1007/BF01061266

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  • DOI: https://doi.org/10.1007/BF01061266

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