Variational and Numerical Analysis for Frictional Contact Problem with Normal Compliance in Thermo-Electro-Viscoelasticity

Autor: Mustapha Bouallala, El Hassan Essoufi, Mohamed Alaoui
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: International Journal of Differential Equations, Vol 2019 (2019)
Druh dokumentu: article
ISSN: 1687-9643
1687-9651
DOI: 10.1155/2019/6972742
Popis: 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 on the approximate solutions.
Databáze: Directory of Open Access Journals
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