一类非线性伪双曲方程Adini元的超收敛性分析  

Superconvergence Analysis of Adini's Finite Element for a Kind of Nonlinear Pseudo-hyperbolic Equations

作　　者：乔保民[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《吉林大学学报（理学版）》2011年第4期638-642,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10971203);河南省自然科学基金(批准号:2010A110014)

摘　　要：在半离散格式下,讨论一类伪双曲方程的Adini元逼近,通过导数转移方法和平均值技巧,给出了其近似解与精确解的误差估计及超逼近性,并使用插值后处理技巧得到了相应的整体超收敛结果.This paper deals with the convergence analysis for a kind of nonlinear pseudo-hyperbolic equations with semidiscretization by Adini＇s finite element.Error estimates and result of superclose were obtained by some novel approaches and techniques.Finally,the corresponding global superconvergence was got by taking the technique of the post-processing operator.

关 键 词：伪双曲方程 Adini元 误差估计 超逼近 超收敛 

分 类 号：O242.21[理学—计算数学]