C Compact Multigrid Solver for
Convection-Diffusion Equation

Murli M. Gupta, Jules Kouatchou, and Jun Zhang
Department of Mathematics
The George Washington University
Washington, DC 20052, USA

Abstract

We introduce a multigrid algorithm to solve the convection-diffusion equations using a nine-point compact difference scheme. We test the efficiency of the algorithm with various smoothers and intergrid transfer operators. The algorithm displays a grid-independent convergence rate and produces solutions with high accuracy. Numerical results are presented to validate the conclusions.
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This paper has been published in Journal of Computational Physics, Vol. 132, 123-129 (1997).