Research article
Variational and Numerical Analysis for an Electro-Viscoelastic Unilateral Contact Problem with Adhesion
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.
How to cite
R. Guettaf, A. Touzaline, Variational and Numerical Analysis for an Electro-Viscoelastic Unilateral Contact Problem with Adhesion, Pan-Amer. J. Math. 3 (2024), 3. https://doi.org/10.28919/cpr-pajm/3-3
BibTeX
@article{Guettaf2024,
author = {Guettaf, Rachid and Touzaline, Arezki},
title = {Variational and Numerical Analysis for an Electro-Viscoelastic Unilateral Contact Problem with Adhesion},
journal = {Pan-Amer. J. Math.},
volume = {3},
year = {2024},
pages = {3},
doi = {10.28919/cpr-pajm/3-3}
}