A note on the nonconforming finite elements for elliptic problems

Abstract

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 Ο(h2), is also proposed. Copyright 2011 by AMSS, Chinese Academy of Sciences.