TY - JOUR
T1 - Anisotropic Crouzeix-Raviart Type Nonconforming Finite Element Methods to Variational Inequality Problem with Displacement Obstacle
AU - Shi , Dongyang
AU - Wang , Caixia
AU - Tang , Qili
JO - Journal of Computational Mathematics
VL - 1
SP - 86
EP - 99
PY - 2015
DA - 2015/02
SN - 33
DO - http://doi.org/10.4208/jcm.1406-m4309
UR - https://global-sci.org/intro/article_detail/jcm/9828.html
KW - Crouzeix-Raviart type nonconforming finite elements, Anisotropy, Variational
inequality, Displacement obstacle, Optimal order error estimates.
AB - <p style="text-align: justify;">In this paper, anisotropic Crouzeix-Raviart type nonconforming finite element methods 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.</p>