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

作     者：HUA Dongying & WANG Lieheng The First Fundamental Department, Beijing Information Technology Institute, Beijing 100101, China Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 

作者机构：1. The First Fundamental Department Beijing Information Technology Institute Beijing 100101 China 2. Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2006年第49卷第4期

页      面：513-524页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：unilateral contact problem, mixed finite element method. 

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 P2-P1 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.