Anisotropic Crouzeix-Raviart Type Nonconforming Finite Element Methods to Variational Inequality Problem with Displacement Obstacle

Authors

  • Dongyang Shi School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China
  • Caixia Wang School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450045, China
  • Qili Tang School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

DOI:

https://doi.org/10.4208/jcm.1406-m4309

Keywords:

Crouzeix-Raviart type nonconforming finite elements, Anisotropy, Variational inequality, Displacement obstacle, Optimal order error estimates.

Abstract

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.

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Published

2018-08-22

Issue

Vol. 33 No. 1 (2015)

Section

Articles