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热传导方程有限差分区域分解算法的若干注记

张宝琳,申卫东   

  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

张宝琳,申卫东. 热传导方程有限差分区域分解算法的若干注记[J]. 数值计算与计算机应用, 2002, 23(2): 81-90.

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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