An efficient explicit/implicit domain decomposition method for convection‐diffusion equations |
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| Authors: | Liyong Zhu Guangwei Yuan Qiang Du |
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| Affiliation: | 1. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, China;2. Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802 |
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| Abstract: | A nonoverlapping domain decomposition method for some time‐dependent convection‐diffusion equations is presented. It combines predictor‐corrector technique, modified upwind differences with explicit/implicit coupling to provide intrinsic parallelism, and unconditional stability while improving the accuracy. Both rigorous mathematical analysis and numerical experiments are carried out to illustrate the stability, accuracy, and parallelism. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010 |
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| Keywords: | convergence analysis domain decomposition explicit– implicit scheme modified upwind differences parallel algorithm predictor‐corrector |
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