Numerical analysis of history-dependent hemivariational inequalities and applications to viscoelastic contact problems with normal penetration

被引：17

作者：

Xu, Wei ^{[1
,2
]}

Huang, Ziping ^{[1
,2
]}

Han, Weimin ^{[3
]}

Chen, Wenbin ^{[4
,5
]}

Wang, Cheng ^{[1
]}

机构：

[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

[2] Tongji Zhejiang Coll, Jiaxing 314051, Peoples R China

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

[4] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[5] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 77卷 / 10期

关键词：

Numerical analysis; Hemivariational inequality; History-dependent; Finite element method; Optimal order error estimate; QUASI-VARIATIONAL INEQUALITIES;

D O I：

10.1016/j.camwa.2018.12.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper numerical approximation of history-dependent hemivariational inequalities with constraint is considered, and corresponding Cea's type inequality is derived for error estimate. For a viscoelastic contact problem with normal penetration, an optimal order error estimate is obtained for the linear element method. A numerical experiment for the contact problem is reported which provides numerical evidence of the convergence order predicted by the theoretical analysis. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：2596 / 2607

页数：12

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