A mixed finite element method for the unilateral contact problem in elasticity

被引：4
|
作者：
Hua, DY [1 ]
Wang, LH
机构：
[1] Beijing Informat Technol Inst, Fundamental Dept 1, Beijing 100101, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2006年 / 49卷 / 04期
关键词：
unilateral contact problem; mixed finite element method;
D O I：
10.1007/s11425-006-0513-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide a new mixed finite element approximation of the variational inequality resulting from the unilateral contact problem in elasticity. We use the continuous piecewise P-2-P-1 finite element to approximate the displacement field and the normal stress component on the contact region. Optimal convergence rates are obtained under the reasonable regularity hypotheses. Numerical example verifies our results.
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页码：513 / 524
页数：12
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