$C^0$ Discontinuous Galerkin Methods for a Kirchhoff Plate Contact Problem
Numerical Analysis
2014-10-28 v1
Abstract
Discontinuous Galerkin (DG) methods are considered for solving a plate contact problem, which is a 4th-order elliptic variational inequality of second kind. Numerous DG schemes for the Kirchhoff plate bending problem are extended to the variational inequality. Properties of the DG methods, such as consistency and stability, are studied, and optimal order error estimates are derived. A numerical example is presented to show the performance of the DG methods; the numerical convergence orders confirm the theoretical prediction.
Cite
@article{arxiv.1410.6884,
title = {$C^0$ Discontinuous Galerkin Methods for a Kirchhoff Plate Contact Problem},
author = {Fei Wang and Tianyi Zhang and Weimin Han},
journal= {arXiv preprint arXiv:1410.6884},
year = {2014}
}
Comments
This paper was submitted to a Journal on April 10, 2014. It is under review