• 论文 •

### 热传导方程有限差分区域分解算法的若干注记

1. 北京应用物理与计算数学研究所计算物理实验室 ;北京应用物理与计算数学研究所计算物理实验室
• 出版日期:2002-02-20 发布日期:2002-02-20

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

1. Zhang Baolin Shen Weidong (Laboratory of Computational Physics, IAPCM)
• Online:2002-02-20 Published:2002-02-20
5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
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.
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 [1]P.G.Eltgroth and M.K.Seager,The sub-implicit method:New multiprocessor algorithms for old implicit codes,Parallel Computing,8(1988),155-163. [2]张宝琳,求解扩散方程的交替分段显-隐式方法,数值计算与计算机应用,12:4(1991),245-253. [3]C.N.Dawson,Qiang Du and T.F.Dupont,A finite difference domain decomposition algorithm: for numerical solution of the heat equation,Math.Compt.57(1991),63-71. [4]V.K.Saul’yev,Integration of equations of parabolic type by method of nets,New York,1964. [5]张宝琳,热传导方程有限差分区域分裂显-隐算法的注记,航空计算技术,28:3(1998),51-54. [6]R.D.Richtmyer和K.W.Morton著,初值问题的差分方法,(中译本),中山大学出版社,1992.
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