@Article{JCM-37-2,
author = {Wang, Fei and Zhang, Tianyi and Weimin, Han},
title = {C<sup>0</sup> Discontinuous Galerkin Methods for a Plate Frictional Contact Problem},
journal = {Journal of Computational Mathematics},
year = {2019},
volume = {37},
number = {2},
pages = {184--200},
abstract = {<p style="text-align: justify;">Numerous C<sup>0&nbsp;</sup>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 C<sup>0</sup> 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 C<sup>0</sup> DG methods; and
the numerical convergence orders confirm the theoretical prediction.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1711-m2017-0187},
url = {https://global-sci.com/article/84396/csup0sup-discontinuous-galerkin-methods-for-a-plate-frictional-contact-problem}
}