The effect of block red-black ordering on blockILU preconditioner for sparse matrices |
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| Authors: | N. Guessous O. Souhar |
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| Affiliation: | 1. Department of mathematics, Ecole Normale Supérieure de Fès, Bensouda B.P., 5206, Fès, Morocco
2. Département de Mathématiques et Informatique, Faculté des Sciences Dhar-Mahraz, B. P. 1796, Atlas Fès, Morocco
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| Abstract: | It is well known that the ordering of the unknowns can have a significant effect on the convergence of a preconditioned iterative method and on its implementation on a parallel computer. To do so, we introduce a block red-black coloring to increase the degree of parallelism in the application of the blockILU preconditioner for solving sparse matrices, arising from convection-diffusion equations discretized using the finite difference scheme (five-point operator). We study the preconditioned PGMRES iterative method for solving these linear systems. |
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