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Nonoverlapping domain decomposition characteristic finite differences for three-dimensional convection-diffusion equations

✍ Scribed by Changfeng Li; Yirang Yuan

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
361 KB
Volume
28
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

One domain decomposition method modified with characteristic differences is presented for non‐periodic three‐dimensional equations by multiply‐type quadratic interpolation and variant time‐step technique. This method consists of reduced‐scale, two‐dimensional computation on subdomain interface boundaries and fully implicit subdomain computation in parallel. A computational algorithm is outlined and an error estimate in discrete l^2^‐ norm is established by introducing new inner products and norms. Finally, numerical examples are given to illustrate the theoretical results, efficiency and parallelism of this method. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 17‐37, 2012

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