Journal article
Numerical analysis of an evolutionary variational–hemivariational inequality with application to a dynamic contact problem
Journal of computational and applied mathematics, Vol.358, pp.163-178
10/01/2019
DOI: 10.1016/j.cam.2019.03.010
Abstract
In this paper, we consider the numerical solution of an evolutionary variational–hemivariational inequality arising in a dynamic contact problem. The material is assumed to be viscoelastic with short memory. The contact is featured by a normal damped response in the normal direction and by the Tresca friction law in the tangential direction. The linear finite elements are used to discretize the spatial variable. Optimal order error estimates are derived for the discrete velocity and discrete displacement under suitable solution regularity assumptions.
Details
- Title: Subtitle
- Numerical analysis of an evolutionary variational–hemivariational inequality with application to a dynamic contact problem
- Creators
- Danfu Han - Hangzhou Normal UniversityWeimin Han - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.358, pp.163-178
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.cam.2019.03.010
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Grant note
- LZ13A010003 / Natural Science Foundation of Zhejiang Province (http://dx.doi.org/10.13039/501100004731) 11471092 / National Natural Science Foundation (http://dx.doi.org/10.13039/501100001809) DMS-1521684 / NSF
- Language
- English
- Date published
- 10/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984240779002771
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