An FEM approximation for a fourth-order variational inequality of second kind

被引：1
|
作者：
Qian Fu-bin [2 ]
Ding Rui [1 ]
机构：
[1] Suzhou Univ, Sch Math Sci, Suzhou 215006, Peoples R China
[2] Suzhou Univ Sci & Tech, Sch Management, Suzhou 215008, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2008年 / 23卷 / 01期
基金：
中国国家自然科学基金;
关键词：
plate theory; variational inequality of the second kind; fourth-order problem; FEM; regularization; error estimate;
D O I：
10.1007/s11766-008-0103-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A fourth-order variational inequality of the second kind arising in a plate frictional bending problem is considered. By using regularization method, the original problem can be formulated as a differentiable variational equation, and the corresponding discrete FEM variational equation is presented afterwards. Abstract error estimates and error estimates of the approximation are derived in terms of energy norm and L-2-norm.
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页码：19 / 24
页数：6
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