热传导方程有限差分区域分解算法的若干注记  

NOTES ON FINITE DIFFERENCE DOMAIN DECOMPOSITION ALGORITHM FOR THE SOLUTION OF HEAT EQUATION

作　　者：张宝琳[1] 申卫东[1] 

机构地区：[1]北京应用物理与计算数学研究所计算物理实验室

出　　处：《数值计算与计算机应用》2002年第2期81-90,共10页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金(69973008);中物院预研基金(20000666)项目.

摘　　要：§1.引言 由于受到并行计算的推动,十多年来,抛物型方程有限差分并行算法设计与分析一直得到关注.应用和理论的兴趣首先是求解下述一维热传导方程的模型问题:When the interface points decompose (0,1) with equal distance into multi-subdomains, there is given that a new error estimate result on the difference solu-tion of the domain decomposition algorithm developed by C.N.Dawson and others [3] for solving the heat equation. A new decomposition algorithm for the equation is also developed by using Saul'yev's asymmetric schemes at the interface points, and the error bound of the approximate solution is obtained. The results of the new algorithm is compared with that of the algorithm in [3]. Numerical experiments on the accuracy of the algorithms are also presented.

关 键 词：热传导方程 有限差分区域分解算法 非对称格式 误差估计 

分 类 号：TK123[动力工程及工程热物理—工程热物理]