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关于MZ1元,MZ2元和MB1元的误差估计
引用本文:徐林荣.关于MZ1元,MZ2元和MB1元的误差估计[J].高校应用数学学报(A辑),1993(3):262-272.
作者姓名:徐林荣
作者单位:杭州大学数学系 310028
摘    要:本文给出MZ1元、MZ2元和MB1元的收敛阶,并且证明MZ1元与MB1元等价。

关 键 词:非协调板元  误差估计    弯曲

ON THE ERROR ESTIMATES OF MZ 1 ELEMENT, MZ 2 ELEMENT AND MB 1 ELEMENT
Xu Linrong.ON THE ERROR ESTIMATES OF MZ 1 ELEMENT, MZ 2 ELEMENT AND MB 1 ELEMENT[J].Applied Mathematics A Journal of Chinese Universities,1993(3):262-272.
Authors:Xu Linrong
Institution:Hangzhou University
Abstract:In this paper, the error estimates for both moments and rotations are given for the MZ 1 plate element, the MZ 2 plate element and the MB 1 plate element, which are introduced by Zhang Fei recently. The asymptotical errors are of order h and h2 , respectively, where h is the supremum of the lengths f of the sides of the elements. Moreover it is proved that the space of shape functions of the MZ 2 plate element is actually identical with MB 1 element.
Keywords:Nonconforming Plate Element  Shape Function  Error Estimate  
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