An Efficient Explicit/Implicit Domain Decomposition Method for Convection-Diffusion Equations

被引:13
作者
Zhu, Liyong [1 ]
Yuan, Guangwei [1 ]
Du, Qiang [2 ]
机构
[1] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA
基金
中国国家自然科学基金;
关键词
convergence analysis; domain decomposition; explicit-implicit scheme; modified upwind differences; parallel algorithm; predictor-corrector; PARALLEL DIFFERENCE-SCHEMES; UNCONDITIONAL STABILITY; INTRINSIC PARALLELISM; NUMERICAL-SOLUTION; ALGORITHMS;
D O I
10.1002/num.20461
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 852-873, 2010
引用
收藏
页码:852 / 873
页数:22
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