C0 Discontinuous Galerkin Methods for a Plate Frictional Contact Problem
Fei Wang, Tianyi Zhang, Weimin Han
Source record
Source: Crossref
Published: Sep 10, 2018
DOI: 10.4208/jcm.1711-m2017-0187
Open original source ↗Source 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.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.