Analysis of extrapolation cascadic multigrid method(EXCMG)  

作　　者：CHEN ChuanMiao HU HongLing XIE ZiQing LI ChenLiang 

机构地区：[1]College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China

出　　处：《Science China Mathematics》2008年第8期1349-1360,共12页中国科学：数学（英文版）

基　　金：the National Natural Science Foundation of China(Grant Nos.10771063,10571053);Doctoral Programme of National Education Ministry of China(Grant No.20050542006);Programme for New Century Excellent Talents in University(Grant No.NCET-060712)

摘　　要：Based on an asymptotic expansion of finite element,a new extrapolation formula and extrapolation cascadic multigrid method(EXCMG)are proposed,in which the new extrapolation and quadratic interpolation are used to provide a better initial value on refined grid.In the case of triple grids,the error of the new initial value is analyzed in detail.A larger scale computation is completed in PC.Based on an asymptotic expansion of finite element, a new extrapolation formula and extrapolation cascadic multigrid method (EXCMG) are proposed, in which the new extrapolation and quadratic interpolation are used to provide a better initial value on refined grid. In the case of triple grids, the error of the new initial value is analyzed in detail. A larger scale computation is completed in PC.

关 键 词：cascadic multigrid finite element new extrapolation error analysis 65N30 

分 类 号：O241.3[理学—计算数学]