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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
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