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A uniform estimate for the MMOC for two-dimensional advection-diffusion equations

✍ Scribed by Kaixin Wang; Hong Wang

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
157 KB
Volume
26
Category
Article
ISSN
0749-159X

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✦ Synopsis

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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