一类非线性伪双曲方程Adini元的超收敛性分析

J4 ›› 2011, Vol. 49 ›› Issue (04): 638-642.

一类非线性伪双曲方程Adini元的超收敛性分析

乔保民

商丘师范学院数学系, 河南商丘 476000

收稿日期:2010-09-13 出版日期:2011-07-26 发布日期:2011-08-16
通讯作者: 乔保民 E-mail:bmqiao@126.com

Superconvergence Analysis of Adini’s Finite Element for a Kind of Nonlinear Pseudohyperbolic Equations

QIAO Baomin

Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, Henan Province, China

Received:2010-09-13 Online:2011-07-26 Published:2011-08-16
Contact: QIAO Baomin E-mail:bmqiao@126.com

摘要/Abstract

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.

关键词: 伪双曲方程； Adini元；误差估计；超逼近；超收敛

Abstract:

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.

Key words: pseudohyperbolic equation, Adini’s finite element, error estimate, superclose, superconvergence

中图分类号:

O242.21

乔保民. 一类非线性伪双曲方程Adini元的超收敛性分析[J]. J4, 2011, 49(04): 638-642.

JIAO Bao-Min. Superconvergence Analysis of Adini’s Finite Element for a Kind of Nonlinear Pseudohyperbolic Equations[J]. J4, 2011, 49(04): 638-642.