ANISOTROPIC CROUZEIX-RAVIART TYPE NONCONFORMING FINITE ELEMENT METHODS TO VARIATIONAL INEQUALITY PROBLEM WITH DISPLACEMENT OBSTACLE  

作　　者：Dongyang Shi Caixia Wang Qili Tang 

机构地区：[1]School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China [2]School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450045, China [3]School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

出　　处：《Journal of Computational Mathematics》2015年第1期86-99,共14页计算数学（英文）

摘　　要：In this paper, anisotropic Crouzeix-Raviart type nonconforming finite element meth- ods are considered for solving the second order variational inequality with displacement obstacle. The convergence analysis is presented and the optimal order error estimates are obtained under the hypothesis of the finite length of the free boundary. Numerical results are provided to illustrate the correctness of theoretical analysis.In this paper, anisotropic Crouzeix-Raviart type nonconforming finite element meth- ods are considered for solving the second order variational inequality with displacement obstacle. The convergence analysis is presented and the optimal order error estimates are obtained under the hypothesis of the finite length of the free boundary. Numerical results are provided to illustrate the correctness of theoretical analysis.

关 键 词：Crouzeix-Raviart type nonconforming finite elements ANISOTROPY VARIATIONALINEQUALITY Displacement obstacle Optimal order error estimates. 

分 类 号：O178[理学—数学] O343.8[理学—基础数学]