高阶ICCG误差阵模与条件数的估计  

THE ESTIMATION OF ‖R P‖ ∞ AND CONDITION NUMBER FOR HIGH ORDER ICCG METHOD

作　　者：雷光耀[1] 黄朝晖[1] 

机构地区：[1]中国科学院应用数学所

出　　处：《计算物理》1999年第3期279-285,共7页Chinese Journal of Computational Physics

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。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) -1 A for P=3 and 4 are obtained respectively. For different mesh sizes, the computed results of Cond (L PU P) -1 A are also compared with the theoretical upper bound.

关 键 词：ICCG法 高阶近似 误差阵 条件数 线性代数方程 

分 类 号：O241.6[理学—计算数学]