An efficient explicit/implicit domain decomposition method for convection‐diffusion equations | Zendy

Zhu Liyong | Zendy; Yuan Guangwei | Zendy; Du Qiang | Zendy

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An efficient explicit/implicit domain decomposition method for convection‐diffusion equations

Author(s) -

Zhu Liyong,

Yuan Guangwei,

Du Qiang

Publication year - 2010

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.20461

Subject(s) - domain decomposition methods , mathematics , stability (learning theory) , domain (mathematical analysis) , parallelism (grammar) , partial differential equation , coupling (piping) , decomposition , diffusion , computer science , mathematical analysis , finite element method , parallel computing , thermodynamics , mechanical engineering , ecology , physics , machine learning , biology , engineering

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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