General Letters in Mathematics

Volume 2 - Issue 2 (1) | PP: 25 - 41 Language : English
DOI : https://doi.org/DOI:10.31559/glm2016.2.2.1
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Error Estimates and Analysis Results for Signorini’s Problem in Thermo-Electro-Viscoelasticity

EL-H. Essoufi ,
M. Alaoui ,
M. Bouallala
Received Date Revised Date Accepted Date Publication Date
23/1/2017 16/2/2017 6/4/2017 20/4/2017
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
, E. E.Alaoui , M. & Bouallala , M. (2017). Error Estimates and Analysis Results for Signorini’s Problem in Thermo-Electro-Viscoelasticity . General Letters in Mathematics, 2 (2), 25-41, DOI:10.31559/glm2016.2.2.1

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