MODIFIED MORLEY ELEMENT METHOD FOR A FOURTH ORDER ELLIPTIC SINGULAR PERTURBATION PROBLEM  

作　　者：Ming Wang Jin-chao Xu Yu-cheng Hu 

机构地区：[1]LMAM, School of Mathematical Science, Peking University, Beijing 100871, China [2]School of Mathematical Science, Peking University, Beijing 100871, China and Department of Mathematics, Pennsylvania State University, USA [3]School of Mathematical Science, Peking University, Beijing 100871, China

出　　处：《Journal of Computational Mathematics》2006年第2期113-120,共8页计算数学（英文）

基　　金：The work of the first author was supported by the National Natural Science Foundation of China （10571006）. The work of the second author was supported by National Science Foundation DMS-0209479 and DMS-0215392 and the Changjiang Professorship through Peking University.

摘　　要：This paper proposes a modified Morley element method for a fourth order elliptic singular perturbation problem. The method also uses Morley element or rectangle Morley element, but linear or bilinear approximation of finite element functions is used in the lower part of the bilinear form. It is shown that the modified method converges uniformly in the perturbation parameter.This paper proposes a modified Morley element method for a fourth order elliptic singular perturbation problem. The method also uses Morley element or rectangle Morley element, but linear or bilinear approximation of finite element functions is used in the lower part of the bilinear form. It is shown that the modified method converges uniformly in the perturbation parameter.

关 键 词：Morley element Singular perturbation problem. 

分 类 号：O17[理学—数学]