Second order in time and space corrected explicit-implicit domain decomposition scheme for convection-diffusion equations

被引：5

作者：

Akhavan, Yousef ^{[1
]}

Liang, Dong ^{[1
]}

Chen, Michael ^{[1
]}

机构：

[1] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 357卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Convection-diffusion equations; Domain decomposition methods; Explicit-implicit schemes; Modified upwind schemes; Stability and convergence analysis; PARALLEL DIFFERENCE-SCHEMES; UNCONDITIONAL STABILITY; NUMERICAL-SOLUTION; ALGORITHMS;

D O I：

10.1016/j.cam.2019.02.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a second-order corrected-explicit-implicit domain decomposition scheme (SCEIDD) for the parallel approximation of convection-diffusion equations over multi-block subdomains. The stability and convergence properties of the SCEIDD scheme are analyzed. It is proved that the scheme is unconditionally stable and it is second-order accurate in time as well as space. Furthermore, three different numerical experiments are performed to verify the theoretical results. In all the experiments the SCEIDD scheme is compared with the EIPCMU2D scheme which is first-order in time. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：38 / 55

页数：18

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