Year: 2019
Author: Fei Wang, Tianyi Zhang, Weimin Han
Journal of Computational Mathematics, Vol. 37 (2019), Iss. 2 : pp. 184–200
Abstract
Numerous C0 discontinuous Galerkin (DG) schemes for the Kirchhoff plate bending problem are extended to solve a plate frictional contact problem, which is a fourth-order elliptic variational inequality of the second kind. This variational inequality contains a non-differentiable term due to the frictional contact. We prove that these C0 DG methods are consistent and stable, and derive optimal order error estimates for the quadratic element. A numerical example is presented to show the performance of the C0 DG methods; and the numerical convergence orders confirm the theoretical prediction.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1711-m2017-0187
Journal of Computational Mathematics, Vol. 37 (2019), Iss. 2 : pp. 184–200
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Variational inequality of fourth-order Discontinuous Galerkin method Plate frictional contact problem Optimal order error estimate.