@Article{JCM-37-184, author = {Wang , FeiZhang , Tianyi and Han , Weimin}, title = {C0 Discontinuous Galerkin Methods for a Plate Frictional Contact Problem}, journal = {Journal of Computational Mathematics}, year = {2018}, volume = {37}, number = {2}, pages = {184--200}, abstract = {

Numerous Cdiscontinuous 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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1711-m2017-0187}, url = {http://global-sci.org/intro/article_detail/jcm/12676.html} }