Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641921 | Journal of Computational and Applied Mathematics | 2008 | 15 Pages |
Abstract
The classical finite element convergence analysis relies on the following regularity condition: there exists a constant c independent of the element K and the mesh such that hK/ÏK⩽c, where hK and ÏK are diameters of K and the biggest ball contained in K, respectively. In this paper, we construct a new, nonconforming rectangular plate element by the double set parameter method. We prove the convergence of this element without the above regularity condition. The key in our proof is to obtain the O(h2) consistency error. We also prove the superconvergence of this element for narrow rectangular meshes. Results of our numerical tests agree well with our analysis.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shaochun Chen, Li Yin, Shipeng Mao,