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Discontinuous Galerkin Methods for Solving a Frictional Contact Problem with Normal Compliance
Authors:Wenqiang Xiao  Weimin Han
Institution:1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, China;2. Department of Mathematics, University of Iowa, Iowa City, Iowa, USA
Abstract:Abstract

Several discontinuous Galerkin (DG) methods are introduced for solving a frictional contact problem with normal compliance, which is modeled as a quasi-variational inequality. Consistency, boundedness, and stability are established for the DG methods. Two numerical examples are presented to illustrate the performance of the DG methods.
Keywords:Contact problem  discontinuous Galerkin methods  normal compliance  quasi-variational inequality
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