Journal article
A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems
SIAM Journal on Mathematical Analysis, Vol.46(6), pp.3891-3912
01/2014
DOI: 10.1137/140963248
Abstract
A class of variational-hemivariational inequalities is studied in this paper. An inequality in the class involves two nonlinear operators and two nondfferentiable functionals, of which at least one is convex. An existence and uniqueness result is proved for a solution of the inequality.Continuous dependence of the solution on the data is shown. Convergence is established rigorously for finite element solutions of the inequality. An error estimate is derived which is of optimal order for the linear finite element method under appropriate solution regularity assumptions. Finally, the results are applied to a variational-hemivariational inequality arising in the study of some frictional contact problems.
Details
- Title: Subtitle
- A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems
- Creators
- Weimin Han - Department of Mathematics, University of IowaStanisław Migórski - Institute of Computer Science [Krakow]Mircea Sofonea - LAboratoire de Mathématiques et PhySique
- Contributors
- Joelle Sulian (Editor)
- Resource Type
- Journal article
- Publication Details
- SIAM Journal on Mathematical Analysis, Vol.46(6), pp.3891-3912
- DOI
- 10.1137/140963248
- ISSN
- 0036-1410
- eISSN
- 1095-7154
- Publisher
- Society for Industrial and Applied Mathematics
- Language
- English
- Date published
- 01/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9983985888402771
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