Error Estimates and Analysis Results for Signorini’s Problem in Thermo-Electro-Viscoelasticity

Volume 2, Issue 2, Article 1 - 2017

Authors: EL-H. Essoufi ; M. Alaoui; M. Bouallala

Copyright © 2017 . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abstract

We consider a mathematical model describing the quasi-static process of contact between a thermo-electroviscoelastic body and a rigid foundation. The contact is described by Signorini’s conditions. The variational formulation leads to a coupled system for the displacement filed, the electric potential and the temperature. The existence of weak solution is proved by using an abstract results for parabolic variational equalities, strongly monotone operators and Banach fixed point theorem. We also study the numerical approach to the problem using spatially semi-discrete and fully discrete finite elements schemes and derive error estimates on the approximate solutions.

How To Cite This Article

@article{Ammi_2017, doi = {10.31559/glm2016.2.2.1}, url = {https://doi.org/10.31559%2Fglm2016.2.2.1}, year = 2017, month = {apr}, publisher = {Refaad for Studies and Research}, volume = {2}, number = {2}, author = {M. R. Sidi Ammi and M. Tilioua and Delfim F. M. Torres}, title = {Preface to the Special Issue on the International Workshop on Applied Mathematics Errachidia ({IWAM}'2017)}, journal = {General Letters in Mathematics} }
Ammi, M. R. S., Tilioua, M., & Torres, D. F. M. (2017). Preface to the Special Issue on the International Workshop on Applied Mathematics Errachidia (IWAM’2017). General Letters in Mathematics, 2(2). doi:10.31559/glm2016.2.2.1
[1]M. R. S. Ammi, M. Tilioua, and D. F. M. Torres, “Preface to the Special Issue on the International Workshop on Applied Mathematics Errachidia (IWAM’2017),” General Letters in Mathematics, vol. 2, no. 2, Apr. 2017.
Ammi, M. R. Sidi, M. Tilioua, and Delfim F. M. Torres. “Preface to the Special Issue on the International Workshop on Applied Mathematics Errachidia (IWAM’2017).” General Letters in Mathematics 2, no. 2 (April 1, 2017). doi:10.31559/glm2016.2.2.1.