A Samarskii domain decomposition method for two-dimensional convection–diffusion equations

被引：0
|
作者：
Guanyu Xue
Yulong Gao
机构：
[1] Institute of Applied Physics and Computational Mathematics,School of Mathematics and Information Sciences
[2] Yantai University,School of Mathematics
[3] Hangzhou Normal University,undefined
来源：
Computational and Applied Mathematics | 2022年 / 41卷
关键词：
Convection–diffusion equations; Samarskii scheme; Domain decomposition; Convergence; Stability; 65M06; 65F10;
D O I：
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中图分类号：
学科分类号：
摘要：
A new Samarskii domain decomposition method for solving two-dimensional convection–diffusion equations is proposed. In this procedure, interface values between subdomains are computed by the Saul’yev asymmetric difference schemes based on Samarskii scheme; interior values are calculated by the Samarskii scheme. The new algorithm obtains accuracy of Samarskii scheme while maintaining parallelism and unconditional stability. Numerical examples show the accuracy and parallel efficiency of the new algorithm.
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