Variational and Numerical Analysis for Frictional Contact Problem with Normal Compliance in Thermo-Electro-Viscoelasticity
Autor: | Mustapha Bouallala, El Hassan Essoufi, Mohamed Alaoui |
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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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