Journal article
On penalty method for unilateral contact problem with non-monotone contact condition
Journal of computational and applied mathematics, Vol.356, pp.293-301
08/15/2019
DOI: 10.1016/j.cam.2019.02.003
Abstract
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.
Details
- Title: Subtitle
- On penalty method for unilateral contact problem with non-monotone contact condition
- Creators
- Weimin Han - University of IowaStanisław Migórski - Chengdu University of Information TechnologyMircea Sofonea - Université de Perpignan
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.356, pp.293-301
- DOI
- 10.1016/j.cam.2019.02.003
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Publisher
- Elsevier B.V
- Grant note
- DMS-1521684 / NSF, USA (http://dx.doi.org/10.13039/100000001) UMO-2012/06/A/ST1/00262 / National Science Center, Poland (http://dx.doi.org/10.13039/501100004442) 823731 / European Union’s Horizon 2020 Research and Innovation Programme (http://dx.doi.org/10.13039/501100007601)
- Language
- English
- Date published
- 08/15/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984241151302771
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