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

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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.

Keywords:

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

10.4208/jcm.1406-m4309

How to Cite

Anisotropic Crouzeix-Raviart Type Nonconforming Finite Element Methods to Variational Inequality Problem with Displacement Obstacle. (2018). Journal of Computational Mathematics, 33(1), 86-99. https://doi.org/10.4208/jcm.1406-m4309