@Article{JCM-29-215, author = {}, title = {A Note on the Nonconforming Finite Elements for Elliptic Problems}, journal = {Journal of Computational Mathematics}, year = {2011}, volume = {29}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1009-m3246}, url = {http://global-sci.org/intro/article_detail/jcm/8474.html} }