Superconvergence analysis of Wilson element on anisotropic meshes  

作　　者：石东洋 梁慧 

机构地区：[1]Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China [2]Department of Mathematics, Harin Institute of Technology, Harbin 150001, P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第1期119-125,共7页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 10371113)

摘　　要：The Wilson finite element method is considered to solve a class of two- dimensional second order elliptic boundary value problems. By using of the particular structure of the element and some new techniques, we obtain the superclose and global superconvergence on anisotropic meshes. Numerical example is also given to confirm our theoretical analysis.The Wilson finite element method is considered to solve a class of two- dimensional second order elliptic boundary value problems. By using of the particular structure of the element and some new techniques, we obtain the superclose and global superconvergence on anisotropic meshes. Numerical example is also given to confirm our theoretical analysis.

关 键 词：Anisotropic meshes Wilson element superclose SUPERCONVERGENCE 

分 类 号：O241.82[理学—计算数学]