On penalty method for unilateral contact problem with non-monotone contact condition

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:356

Article

Han, Weimin^1,2  Migorski, Stanislaw^3,4  Sofonea, Mircea⁵ 

[1] Univ Iowa, Program Appl Math & Computat Sci AMCS, Iowa City, IA 52242 USA

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[3] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan, Peoples R China

[4] Jagiellonian Univ Krakow, Chair Optimizat & Control, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

[5] Univ Perpignan, Lab Math & Phys, Via Domitia,52 Ave Paul Alduy, F-66860 Perpignan, France

关键词: Unilateral contact problem;    Hemivariational inequality;    Penalty based numerical methods;    Convergence;   

DOI  :  10.1016/j.cam.2019.02.003

来源: Elsevier

【 摘 要 】

In this paper, we consider a penalty based numerical method to solve a model contact problem with unilateral constraint that is described by a constrained stationary hemivariational inequality. The penalty technique is applied to approximately enforce the constraint condition, and a corresponding numerical method using finite elements is introduced. We show the convergence of the penalty based numerical solutions to the solution of the constrained hemivariational inequality as both the mesh-size and the penalty parameter approach zero. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free