Variational-hemivariational inverse problem for electro-elastic unilateral frictional contact problem-Reference-Cited by-同舟云学术

Variational-hemivariational inverse problem for electro-elastic unilateral frictional contact problem

Published:2020-11-07 Issue:6 Volume:29 Page:917-934
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Baiz Othmane¹^ORCID,Benaissa Hicham²^ORCID,Faiz Zakaria³,El Moutawakil Driss³

Affiliation:

1. Department of Mathematics , Laboratory of Engineering Sciences and Energies, Faculté Polydisciplinaire de Ouarzazate , Université Ibn Zohr , Ouarzazate , Morocco

2. Faculté Polydisciplinaire de Khouribga , Université Sultan Moulay Slimane de Beni-Mellal , Khouribga , Morocco

3. Equipe de Recherche MATIC , Faculté Polydisciplinaire of Khouribga , Université Sultan Moulay Slimane de Beni-Mellal , Khouribga , Morocco

Abstract

Abstract In the present paper, we study inverse problems for a class of nonlinear hemivariational inequalities. We prove the existence and uniqueness of a solution to inverse problems. Finally, we introduce an inverse problem for an electro-elastic frictional contact problem to illustrate our results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2020-0051/pdf

Reference26 articles.

1. B. Barabasz, S. A. Migórski, R. Schaefer and M. Paszyński, Multi-deme, twin adaptive strategy hp-HGS, Inverse Probl. Sci. Eng. 19 (2011), no. 1, 3–16.

2. M. Barboteu, K. Bartosz, W. Han and T. Janiczko, Numerical analysis of a hyperbolic hemivariational inequality arising in dynamic contact, SIAM J. Numer. Anal. 53 (2015), no. 1, 527–550.

3. F. H. Clarke, Optimization and Nonsmooth Analysis, Canad. Math. Soc. Ser. Monogr. Adv. Texts, John Wiley & Sons, New York, 1983.

4. Z. A. Denkowski, S. A. Migórski and N. S. Papageorgiou, An Introduction To Nonlinear Analysis: Theory, Kluwer Academic, Boston, 2003.

5. M. S. Gockenbach and A. A. Khan, An abstract framework for elliptic inverse problems. I. An output least-squares approach, Math. Mech. Solids 12 (2007), no. 3, 259–276.

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