Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity

被引：4

作者：

Porwal, Kamana ^{[1
,2
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 2017年 / 112卷

关键词：

Finite element; Discontinuous Galerkin; A posteriori error estimate; Frictional contact problem; Variational inequalities; Linear elasticity; ELLIPTIC OBSTACLE PROBLEMS; FINITE-ELEMENT METHODS; POSTERIORI ERROR ESTIMATORS; VARIATIONAL-INEQUALITIES; RESIDUAL TYPE; APPROXIMATION;

D O I：

10.1016/j.apnum.2016.10.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we propose and analyze discontinuous Galerkin (DG) methods for a contact problem with Tresca friction for the linearized elastic material. We derive a residual based a posteriori error estimator for the proposed class of DG methods. The reliability and the efficiency of a posteriori error estimator is shown. We further investigate a priori error estimates under the minimal regularity assumption on the exact solution. An important property shared by a class of DG methods, allow us to carry out the analysis in a unified framework. Numerical experiments are reported to illustrate theoretical results. (C) 2016 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：182 / 202

页数：21

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