TY - JOUR
T1 - A Note on the Nonconforming Finite Elements for Elliptic Problems
JO - Journal of Computational Mathematics
VL - 2
SP - 215
EP - 226
PY - 2011
DA - 2011/04
SN - 29
DO - http://doi.org/10.4208/jcm.1009-m3246
UR - https://global-sci.org/intro/article_detail/jcm/8474.html
KW - Nonconforming finite element, Elliptic boundary value problem, Plate bending
problem.
AB - <p style="text-align: justify;">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.</p>