Uniformly Convergent C0-Nonconforming Triangular Prism Element for Fourth-Order Elliptic Singular Perturbation Problem

被引：5
|
作者：
Chen, Hongru [1 ,2 ]
Chen, Shaochun [1 ]
Xiao, Liuchao [2 ]
机构：
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China
[2] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 30卷 / 06期
关键词：
bubble functions; C-0-nonconforming elements; error estimates; fourth-order elliptic singular perturbation problem; APPROXIMATIONS;
D O I：
10.1002/num.21878
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce a C-0-nonconforming triangular prism element for the fourth-order elliptic singular perturbation problem in three dimensions by using the bubble functions. The element is proved to be convergent in the energy norm uniformly with respect to the perturbation parameter. (C) 2014 Wiley Periodicals, Inc.
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页码：1785 / 1796
页数：12
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