Journal article
Numerical analysis of history-dependent hemivariational inequalities and applications to viscoelastic contact problems with normal penetration
Computers & mathematics with applications (1987), Vol.77(10), pp.2596-2607
05/15/2019
DOI: 10.1016/j.camwa.2018.12.038
Abstract
In this paper numerical approximation of history-dependent hemivariational inequalities with constraint is considered, and corresponding Céa’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.
Details
- Title: Subtitle
- Numerical analysis of history-dependent hemivariational inequalities and applications to viscoelastic contact problems with normal penetration
- Creators
- Wei Xu - Tongji UniversityZiping Huang - Tongji UniversityWeimin Han - University of IowaWenbin Chen - Fudan UniversityCheng Wang - Tongji University
- Resource Type
- Journal article
- Publication Details
- Computers & mathematics with applications (1987), Vol.77(10), pp.2596-2607
- DOI
- 10.1016/j.camwa.2018.12.038
- ISSN
- 0898-1221
- eISSN
- 1873-7668
- Publisher
- Elsevier Ltd
- Grant note
- name: cooperative project of Tongji Zhejiang College and Haiyan County Environmental Protection Bureau, award: Yanwupu(2018)-001-2; DOI: 10.13039/100000001, name: NSF, award: DMS-1521684; DOI: 10.13039/501100001809, name: NSFC, award: 11671098, 91630309; DOI: 10.13039/501100013314, name: 111 Project, award: B08018; DOI: 10.13039/501100007931, name: Shanghai University of Finance and Economics
- Language
- English
- Date published
- 05/15/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984241049102771
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