A NOTE ON THE NONCONFORMING FINITE ELEMENTS FOR ELLIPTIC PROBLEMS
A NOTE ON THE NONCONFORMING FINITE ELEMENTS FOR ELLIPTIC PROBLEMS
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DOI：
10.4208/jcm.1009-m3246
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发表时间：
2010
影响因子：
0.9
通讯作者：
Bo Gao;Shuo Zhang;Ming Wang
中科院分区：
文献类型：
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作者：
Bo Gao;Shuo Zhang;Ming Wang
对n维（m，n1）中2 m阶椭圆边值问题给出了一类规范的矩形元，它包括（2 m1）次Hermite插值元（n = 1），n-线性有限元（m = 1）和Adini元（m = 2）.本文还提出了一个收敛阶为O（h2）的板弯曲问题的三角形有限元。
In this paper, a class of rectangular finite elements for 2m-th-oder elliptic boundary value problems in n-dimension (m,n � 1) is proposed in a canonical fashion, which includes the (2m 1)-th Hermite interpolation element (n = 1), the n-linear finite element (m = 1) and the Adini element (m = 2). A nonconforming triangular finite element for the plate bending problem, with convergent order O(h 2 ), is also proposed.