Journal article
NUMERICAL ANALYSIS OF A HYPERBOLIC HEMIVARIATIONAL INEQUALITY ARISING IN DYNAMIC CONTACT
SIAM journal on numerical analysis, Vol.53(1), pp.527-550
01/01/2015
DOI: 10.1137/140969737
Abstract
In this paper a fully dynamic viscoelastic contact problem is studied. The contact is assumed to be bilateral and frictional, where the friction law is described by a nonmonotone relation between the tangential stress and the tangential velocity. A weak formulation of the problem leads to a second order nonmonotone subdifferential inclusion, also known as a second order hyperbolic hemivariational inequality. We study both semidiscrete and fully discrete approximation schemes and bound the errors of the approximate solutions. Under some regularity assumptions imposed on the true solution, optimal order error estimates are derived for the linear element solution. This theoretical result is illustrated numerically.
Details
- Title: Subtitle
- NUMERICAL ANALYSIS OF A HYPERBOLIC HEMIVARIATIONAL INEQUALITY ARISING IN DYNAMIC CONTACT
- Creators
- Mikael Barboteu - Université de PerpignanKrzysztof Bartosz - Jagiellonian UniversityWeimin Han - Univ Iowa, Dept Math, Iowa City, IA 52242 USATomasz Janiczko - Jagiellonian University
- Resource Type
- Journal article
- Publication Details
- SIAM journal on numerical analysis, Vol.53(1), pp.527-550
- DOI
- 10.1137/140969737
- ISSN
- 0036-1429
- eISSN
- 1095-7170
- Publisher
- SIAM PUBLICATIONS
- Number of pages
- 24
- Grant note
- DEC-2012/06/A/ST1/00262 / National Science Center of Poland under Maestro Advanced Project 295118 / Marie Curie International Research Staff Exchange Scheme Fellowship within the 7th European Community Framework Programme W111/7.PR/2012 / Ministry of Science and Higher Education of Republic of Poland Universite de Perpignan Via Domitia N N201 604640 / National Science Center of Poland Jagiellonian University
- Language
- English
- Date published
- 01/01/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9984241041302771
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