ICCG法误差阵模与条件数的估计

计算物理 ›› 1996, Vol. 13 ›› Issue (4): 489-495.

ICCG法误差阵模与条件数的估计

雷光耀, 黄朝晖

中国科学院应用数学所, 北京 100080

收稿日期:1995-12-27 出版日期:1996-12-25 发布日期:1996-12-25

AN ESTIMATION OF ‖R_p‖_∞ AND CONDITION NUMBER FOR ICCG METHOD

Lei Guangyao, Huang Chaohui

Institute of Applied Mathematics, Academia Sinica, Beijing 100080

Received:1995-12-27 Online:1996-12-25 Published:1996-12-25

摘要/Abstract

摘要： 针对模型问题,应用高阶近似LU分解的方法,对常用的ICCG法给出了其预处理阵的表达式,并估计了误差阵的无穷模。在此基础上给出了ICCG法在三种情形下条件数的上限。在不同节点数的情形下,对实际计算的条件数与该文所估计的上限进行了比较

关键词: ICCG法, 高阶近似LU分解, 误差阵, 条件数

Abstract: Using a model problem and the method of high order approximate LU dicomposition, the preconditioning matrices of ICCG are given and the ‖R_p‖_∞ is also estimated. Based on these results, the upper bound of condition numbers of ICCG (s,t) when (s,t)=(1,1),(1,2) and (1,3) are given respectively. For different mesh sizes, the computed results are compared with the theoretical results of this paper.

Key words: ICCG method, high order approximate LU decomposition, error matrix, condition number

中图分类号:

O241

雷光耀, 黄朝晖. ICCG法误差阵模与条件数的估计[J]. 计算物理, 1996, 13(4): 489-495.

Lei Guangyao, Huang Chaohui. AN ESTIMATION OF ‖R_p‖_∞ AND CONDITION NUMBER FOR ICCG METHOD[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 13(4): 489-495.

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