Anisotropic rectangular nonconforming finite element analysis for Sobolev equations

• DOI: 10.1007/s10483-008-0909-2
• Publication Date: 2008-09-12T15:33:41Z
• Authors: Dong-yang Shi; Hai-hong Wang; Cheng Guo
• Keywords: Superconvergence

An anisotropic rectangular nonconforming finite element method for solving the Sobolev equations is discussed under semi-discrete and full discrete schemes. The corresponding optimal convergence error estimates and superclose property are derived, which are the same as the traditional conforming finite elements. Furthermore, the global superconvergence is obtained using a post-processing technique. The numerical results show the validity of the theoretical analysis.