Variational and Numerical Analysis for an Electro-Viscoelastic Unilateral Contact Problem with Adhesion

Rachid Guettaf, Arezki Touzaline

Abstract

In this paper we investigate a mathematical model for the unilateral contact between an electro-viscoelastic body and a conductive foundation. The Signorini conditions are used to model the contact, and adhesion between the contact surfaces is also taken into account. We establish the existence and uniqueness of a weak solution to this problem. Furthermore, we propose a fully discrete numerical scheme to approximate the solution, and we present and prove the main result concerning the estimation of errors.

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Pan-Amer. J. Math. 3 (2024), 3
DOI: https://doi.org/10.28919/cpr-pajm/3-3
This article was published on February 6, 2024 by Mathyze, under a Creative Commons Attribution 4.0 International License.