Journal article
Evolutionary Variational Inequalities Arising in Viscoelastic Contact Problems
SIAM journal on numerical analysis, Vol.38(2), pp.556-579
01/2000
DOI: 10.1137/S0036142998347309
Abstract
We consider a class of evolutionary variational inequalities arising in various frictional contact problems for viscoelastic materials. Under the smallness assumption of a certain coefficient, we prove an existence and uniqueness result using Banach's fixed point theorem. We then study two numerical approximation schemes of the problem: a semidiscrete scheme and a fully discrete scheme. For both schemes, we show the existence of a unique solution and derive error estimates. Finally, all these results are applied to the analysis and numerical approximations of a viscoelastic frictional contact problem, with the finite element method used to discretize the spatial domain.
Details
- Title: Subtitle
- Evolutionary Variational Inequalities Arising in Viscoelastic Contact Problems
- Creators
- Weimin HanMircea Sofonea
- Resource Type
- Journal article
- Publication Details
- SIAM journal on numerical analysis, Vol.38(2), pp.556-579
- DOI
- 10.1137/S0036142998347309
- ISSN
- 0036-1429
- eISSN
- 1095-7170
- Copyright
- © 2000 Society for Industrial and Applied Mathematics
- Language
- English
- Date published
- 01/2000
- Academic Unit
- Mathematics
- Record Identifier
- 9983985801802771
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