An anisotropic, superconvergent nonconforming plate finite element |
| |
Authors: | Shaochun Chen Li Yin Shipeng Mao |
| |
Affiliation: | aDepartment of Mathematics, Zhengzhou University, 450052, China;bInstitute of Computational Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, China |
| |
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/ρK c, where hK and ρK 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: | Regularity condition Double set parameter Nonconforming plate element Anisotropic convergence Superconvergence |
本文献已被 ScienceDirect 等数据库收录! |
|