高阶ICCG误差阵模与条件数的估计

计算物理 ›› 1999, Vol. 16 ›› Issue (3): 279-285.

高阶ICCG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:1998-02-19 出版日期:1999-05-25 发布日期:1999-05-25
作者简介:雷光耀,男,57,研究员,硕士,北京2734信箱,100080

The estimation of ‖ R_p ‖ _∞ and condition number for high order iccg method

Lei Guangyao, Huang Chaohui

Institute of Applied Mathematics, Academia Sinica, Beijing 100080

Received:1998-02-19 Online:1999-05-25 Published:1999-05-25

摘要/Abstract

摘要： 文[1]针对模型问题,应用高阶近似LU分解法给出了阶为0,1,2时ICCG法的预处理阵表达式,进而估计了误差阵的无穷模及条件数。针对更复杂的高阶问题给出了三阶和四阶ICCG法误差阵无穷模的估计以及相应的条件数上限。在不同节点数的条件下,对实际计算的条件数与文中所给出的上限作了比较。

关键词: ICCG法, 高阶近似LU分解, 误差阵, 条件数

Abstract: Using the method of high order approximate LU dicomposition, the preconditioning matrices of high order ICCG are given and the ‖R_p‖_∞ is also estimated when P=3 and 4. The upper bounds of Cond (L_PU_P)^-1A for P=3 and 4 are obtained respectively. For different mesh sizes, the computed results of Cond (L_PU_P)^-1A are also compared with the theoretical upper bound.

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. 高阶ICCG误差阵模与条件数的估计[J]. 计算物理, 1999, 16(3): 279-285.

Lei Guangyao, Huang Chaohui. The estimation of ‖ R_p ‖ _∞ and condition number for high order iccg method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 16(3): 279-285.

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