摘要
本文在[1,2]的基础上,对不完全双二次板元作了进一步的讨论,不仅得到了最优的L^2—误差估计,改进了[1]的相应结果,而且利用“辅助元技巧”并结合正则Green函数法,得到了拟最优的L~∞—误差估计.
This paper deals with the incomplete biquadratic nonconforming rectangular plate element, which was proposed and developed in [1,2]. The optimal L^2-error estimate is shown, and the corresponding result in [1] is improved. Moreover, the quasi-optimal L~∞ -error estimate is obtained by using 'the trick of auxiliary element' and the regularized Green' s function method.
出处
《应用数学》
CSCD
北大核心
1992年第4期61-65,共5页
Mathematica Applicata
关键词
非协调板元
误差估计
偏微分方程
Nonconforming plate element
L^2-error estimate
L~∞-error estimate
