A uniform estimate for the MMOC for two‐dimensional advection‐diffusion equations |
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| Authors: | Kaixin Wang Hong Wang |
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| Institution: | 1. School of Mathematics, Shandong University, Jinan, Shandong 250100, China;2. Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208 |
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| Abstract: | We prove an optimal‐order error estimate in a weighted energy norm for the modified method of characteristics (MMOC) and the modified method of characteristics with adjusted advection (MMOCAA) for two‐dimensional time‐dependent advection‐diffusion equations, in the sense that the generic constants in the estimates depend on certain Sobolev norms of the true solution but not on the scaling diffusion parameter ε. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010 |
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| Keywords: | convergence analysis the modified method of characteristics the modified method of characteristics with adjusted advection uniform error estimates |
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