Variational and numerical analysis for frictional contact problem with normal compliance in thermo-electro-viscoelasticity
type: Item
instance of: scholarly article
title: Variational and numerical analysis for frictional contact problem with normal compliance in thermo-electro-viscoelasticity
zbMATH Open document ID: 1443.74241
DOI: 10.1155/2019/6972742
author: Mustapha Bouallala
author: Mohamed Alaoui
author: El-Hassan Essoufi
published in: International Journal of Differential Equations
publication date: 2020-07-03T00:00:00Z
review text: Summary: In this paper, we consider a mathematical model of a contact problem in thermo-electro-viscoelasticity with the normal compliance conditions and Tresca's friction law. We present a variational formulation of the problem, and we prove the existence and uniqueness of the weak solution. We also study the numerical approach using spatially semidiscrete and fully discrete finite element schemes with Euler's backward scheme. Finally, we derive error estimates for the approximate solutions.
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74M10
Mathematics Subject Classification ID: 74H20
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 7217329
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: Tresca friction law
zbMATH Keywords: finite element method
zbMATH Keywords: Euler backward scheme
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2019/6972742
OpenAlex ID: W2972287496
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Wikidata QID: Q127303529
description: scientific article; zbMATH DE number 7217329