Benkhira, E.-H. and Essoufi, E.-H. and Fakhar, R. (2016) On convergence of the penalty method for a static unilateral contact problem with nonlocal friction in electro-elasticity. European Journal of Applied Mathematics, 27 (1). pp. 1-22.

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In this paper, we consider the penalty method to solve the unilateral contact with friction between an electro-elastic body and a conductive foundation. Mathematical properties, such as the existence of a solution to the penalty problem and its convergence to the solution of the original problem, are reported. Then, we present a finite elements approximation for the penalised problem and prove its convergence. Finally, we propose an iterative method to solve the resulting finite element system and establish its convergence. © Cambridge University Press 2015.

Item Type: Article
Uncontrolled Keywords: Constrained optimization; Finite element method; Friction; Stiction; Tribology; Variational techniques, Finite element approximations; Fixed points; Non-local friction; Penalty methods; Piezoelectric; Signorini conditions; Static friction; Variational inequalities, Iterative methods
Subjects: Mathematics
Divisions: SCIENTIFIC PRODUCTION > Mathematics
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:48

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