[1]林广明.解两点边值问题的快速Schwarz交替法[J].深圳大学学报理工版,1991,(1-2):42-52.
 Lin Guangming.Fast Schwarz Alternating Alogrithm to Solve Two-point Boundary Value Problems[J].Journal of Shenzhen University Science and Engineering,1991,(1-2):42-52.
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解两点边值问题的快速Schwarz交替法()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
期数:
1991年1-2期
页码:
42-52
栏目:
环境与能源
出版日期:
1991-06-30

文章信息/Info

Title:
Fast Schwarz Alternating Alogrithm to Solve Two-point Boundary Value Problems
作者:
林广明
深圳大学软科学系
Author(s):
Lin Guangming
Soft Science Dept
摘要:
本文对两点边值问题用快速Schwarz交替法求解,将区域分解成两块,在拟边界下采用混合边值条件;给出了用这种方法求解的收敛因子;进而说明在一定条件下,有限步内可以达到精确解,这比通常的Schwarz交替法的收敛速度快得多;同时讨论了相应的两点边值问题的离散情况,给出了数值例子;并讨论了其它模型问题的收敛因子。
Abstract:
In this paper, we use fast Schwarz Alternating Algorithm to solve two point boundary value problems. Dividing the original domain into two subdomains, we use mixd boundary value conditions on pseudo-boundaries. We give the convergence factor of the method, and proof that can reach theit exact solution in finite steps under cer¬tain conditions. This method converge much faster than ordinary Schwarz Alternating Algorithm, we also discuss corresponding discrete problems, give some numerical results and some convergence factors other model problems.
更新日期/Last Update: 2016-05-10