L^2-ERROR OF EXTRAPOLATION CASCADIC MULTIGRID (EXCMG)  

作　　者：陈传淼 胡宏伶 谢资清 李郴良 

机构地区：[1]Institute of Computation, Hunan Normal University,Changsha 410081, China

出　　处：《Acta Mathematica Scientia》2009年第3期539-551,共13页数学物理学报（B辑英文版）

基　　金：Supported by National Natural Science Foundation of China (10771063);the Doctor Programme of the National Education Committee (20050542006)

摘　　要：Based on an asymptotic expansion of finite element, an extrapolation cascadic multigrid method （EXCMG） is proposed, in which the new extrapolation and quadratic interpolation are used to provide a better initial value on refined grid. In the case of multiple grids, both superconvergence error in H^1-norm and the optimal error in l2-norm are analyzed. The numerical experiment shows the advantage of EXCMG in comparison with CMG.Based on an asymptotic expansion of finite element, an extrapolation cascadic multigrid method （EXCMG） is proposed, in which the new extrapolation and quadratic interpolation are used to provide a better initial value on refined grid. In the case of multiple grids, both superconvergence error in H^1-norm and the optimal error in l2-norm are analyzed. The numerical experiment shows the advantage of EXCMG in comparison with CMG.

关 键 词：cascadic multigrid finite element new extrapolation quadratic interpolation L^2-error 

分 类 号：O241.8[理学—计算数学]