Journal article
SINGULAR PERTURBATIONS OF VARIATIONAL-HEMIVARIATIONAL INEQUALITIES
SIAM journal on mathematical analysis, Vol.52(2), pp.1549-1566
01/01/2020
DOI: 10.1137/19M1282490
Abstract
This paper is devoted to an analysis of singular perturbations of inequality problems. For a general variational-hemivariational inequality, it is shown rigorously that under appropriate conditions, as the singular perturbation parameter approaches zero, the solution of the singularly perturbed problem converges to the solution of the limiting problem. As corollaries of this general result, we have similar convergence results for singularly perturbed problems of "pure" hemivariational inequalities and of variational inequalities. The results are illustrated in the study of an obstacle plate bending problem.
Details
- Title: Subtitle
- SINGULAR PERTURBATIONS OF VARIATIONAL-HEMIVARIATIONAL INEQUALITIES
- Creators
- Weimin Han - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- SIAM journal on mathematical analysis, Vol.52(2), pp.1549-1566
- Publisher
- SIAM PUBLICATIONS
- DOI
- 10.1137/19M1282490
- ISSN
- 0036-1410
- eISSN
- 1095-7154
- Number of pages
- 18
- Language
- English
- Date published
- 01/01/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984241155902771
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