TY - JOUR
T1 - C<sup>0</sup> Discontinuous Galerkin Methods for a Plate Frictional Contact Problem
AU - Wang , Fei
AU - Zhang , Tianyi
AU - Han , Weimin
JO - Journal of Computational Mathematics
VL - 2
SP - 184
EP - 200
PY - 2018
DA - 2018/09
SN - 37
DO - http://doi.org/10.4208/jcm.1711-m2017-0187
UR - https://global-sci.org/intro/article_detail/jcm/12676.html
KW - Variational inequality of fourth-order, Discontinuous Galerkin method, Plate
frictional contact problem, Optimal order error estimate.
AB - <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>