Parallel characteristic finite difference method for convection–diffusion equations |
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| Authors: | Jiansong Zhang Danping Yang |
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| Affiliation: | 1. School of Mathematics and Computational Sciences, China University of Petroleum, Dongying 257061, China;2. Department of Mathematics, East China Normal University, Shanghai 200062, China |
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| Abstract: | Based on the overlapping domain decomposition, an efficient parallel characteristic finite difference scheme is proposed for solving convection‐diffusion equations numerically. We give the optimal convergence order in error estimate analysis, which shows that we just need to iterate once or twice at each time level to reach the optimal convergence order. Numerical experiments also confirm the theoretical analysis. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 854–866, 2011 |
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| Keywords: | characteristic finite difference convection– diffusion equations overlapping domain decomposition parallel subspace correction |
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