新外推多网格法研究(英文)  

Study of A New Extrapolation Multigrid Method

作　　者：陈传淼[1] 谢资清[1] 李郴良[1] 胡宏伶[1] 

机构地区：[1]湖南师范大学计算研究所,中国长沙410081

出　　处：《湖南师范大学自然科学学报》2007年第2期1-5,共5页Journal of Natural Science of Hunan Normal University

基　　金：Supported by The National Natural Science Foundation of China(10471038);The Foundation of Doctoral Program of High Education of China(20050542006)

摘　　要：提出一种求解大规模有限元方程组的新外推多网格法,即用前两层网格上有限元的新外推值提供第3层细网格上的好初值,然后用几次CG-迭代能得到较准确的有限元解.数值试验表明此方法有很高的效率.A new extrapolation multigrid method in solving large scale finite elemen system of equation is proposed, i.e. new extrapolation values of finite element solutions on the first two level grids are used to provide the good initial values on the third level grids and then an exacter finite element solution can be obtained by several CG-iterations. Numerical experiments show that the method is of higher efficiency.

关 键 词：有限元 多网格法 外推 超收敛 

分 类 号：O242[理学—计算数学]