A Two-Level Preconditioned Conjugate-Gradient Method in Distorted and Structured Grids

被引：1
|
作者：
He, Qiaolin [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2012年 / 4卷 / 02期
基金：
国家教育部博士点专项基金资助;
关键词：
Precondition; conjugate gradient; multigrid; finite element; ALGEBRAIC MULTIGRID METHOD;
D O I：
10.4208/aamm.10-m11133
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new two-level preconditioned C-G method which uses the quadratic smoothing and the linear correction in distorted but topologically structured grid. The CPU time of this method is less than that of the multigrid preconditioned C-G method (MGCG) using the quadratic element, but their accuracy is almost the same. Numerical experiments and eigenvalue analysis are given and the results show that the proposed two-level preconditioned method is efficient.
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页码：238 / 249
页数：12
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