Year: 2011
Journal of Computational Mathematics, Vol. 29 (2011), Iss. 2 : pp. 215–226
Abstract
In this paper, a class of rectangular finite elements for $2m$-th-oder elliptic boundary value problems in $n$-dimension ($m,n\geq1$) 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 $\mathcal{O}(h^2)$, is also proposed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1009-m3246
Journal of Computational Mathematics, Vol. 29 (2011), Iss. 2 : pp. 215–226
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Nonconforming finite element Elliptic boundary value problem Plate bending problem.
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