UNIFORMLY CONVERGENT NONCONFORMING ELEMENT FOR 3-D FOURTH ORDER ELLIPTIC SINGULAR PERTURBATION PROBLEM  

作　　者：Hongru Chen Shaochun Chen 

机构地区：[1]College of Science, Henan University of Technology, Zhengzhou 450001, China [2]Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China

出　　处：《Journal of Computational Mathematics》2014年第6期687-695,共9页计算数学（英文）

摘　　要：In this paper, using a bubble function, we construct a cuboid element to solve the fourth order elliptic singular perturbation problem in three dimensions. We prove that the nonconforming CO-cuboid element converges in the energy norm uniformly with respect to the perturbation parameter.In this paper, using a bubble function, we construct a cuboid element to solve the fourth order elliptic singular perturbation problem in three dimensions. We prove that the nonconforming CO-cuboid element converges in the energy norm uniformly with respect to the perturbation parameter.

关 键 词：Nonconforming finite element Singular perturbation problem Uniform errorestimates. 

分 类 号：O241.81[理学—计算数学] O241.82[理学—数学]