Anisotropic Crouzeix-Raviart Type Nonconforming Finite Element Methods to Variational Inequality Problem with Displacement Obstacle
Year: 2015
Author: Dongyang Shi, Caixia Wang, Qili Tang
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 1 : pp. 86–99
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1406-m4309
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 1 : pp. 86–99
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Crouzeix-Raviart type nonconforming finite elements Anisotropy Variational inequality Displacement obstacle Optimal order error estimates.
Author Details
-
Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle
Xu, Chao | Shi, DongyangApplied Mathematics and Computation, Vol. 348 (2019), Iss. P.1
https://doi.org/10.1016/j.amc.2018.08.015 [Citations: 1] -
Double set parameter finite element method for two-sided displacement obstacle problem of clamped plate
Shi, Dongyang | Pei, LifangJournal of Mathematical Analysis and Applications, Vol. 436 (2016), Iss. 1 P.203
https://doi.org/10.1016/j.jmaa.2015.11.004 [Citations: 6] -
Superconvergence analysis for nonlinear parabolic equation with $$EQ_1^\mathrm{{rot}}$$ E Q 1 rot nonconforming finite element
Shi, Dongyang | Wang, Junjun | Yan, FengnaComputational and Applied Mathematics, Vol. 37 (2018), Iss. 1 P.307
https://doi.org/10.1007/s40314-016-0344-6 [Citations: 25] -
Gradient schemes for the Signorini and the obstacle problems, and application to hybrid mimetic mixed methods
Alnashri, Yahya | Droniou, JérômeComputers & Mathematics with Applications, Vol. 72 (2016), Iss. 11 P.2788
https://doi.org/10.1016/j.camwa.2016.10.004 [Citations: 11] -
Nonconforming double set parameter finite element methods for a fourth order variational inequality with two-sided displacement obstacle
Shi, Dongyang | Pei, LifangJournal of Inequalities and Applications, Vol. 2015 (2015), Iss. 1
https://doi.org/10.1186/s13660-015-0757-6 [Citations: 0] -
Discontinuous Galerkin methods for solving a hyperbolic inequality
Wang, Fei | Han, WeiminNumerical Methods for Partial Differential Equations, Vol. 35 (2019), Iss. 3 P.894
https://doi.org/10.1002/num.22330 [Citations: 1] -
Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem
Shi, Dongyang | Yang, HuaijunApplied Mathematics and Computation, Vol. 347 (2019), Iss. P.210
https://doi.org/10.1016/j.amc.2018.10.018 [Citations: 4] -
A two level algorithm for an obstacle problem
Wang, Fei | Eichholz, Joseph | Han, WeiminApplied Mathematics and Computation, Vol. 330 (2018), Iss. P.65
https://doi.org/10.1016/j.amc.2018.02.030 [Citations: 1]