THE SUPERCONVERGENCE ANALYSIS OF AN ANISOTROPIC FINITE ELEMENT  

作　　者：SHI Dongyang ZHU Huiqing 

机构地区：[1]Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China.

出　　处：《Journal of Systems Science & Complexity》2005年第4期478-487,共10页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the National Natural Science Foundation of China(No.10371113) Foundation of Oversea Scholar of China(No.2001(119)) the Project of Creative Engineering of Henan Province of China 2002(219) NSF of Henan Province of China.

摘　　要：This paper deals with the high accuracy analysis of bilinear finite element on the class of anisotropic rectangular meshes. The inverse inequalities on anisotropic meshes are established. The superclose and the superconvergence are obtained for the second order elliptic problem. A numerical test is given, which coincides with our theoretical analysis.

关 键 词：bilinear finite element superclose SUPERCONVERGENCE anisotropic meshes high accuracy 

分 类 号：O241.82[理学—计算数学]