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Titre: | Theoretical and numerical study of some models in mechanics |
Auteur(s): | Chabekh, Meriem |
Mots-clés: | Faedo- Galerkin approach Implicit Euler scheme |
Date de publication: | 3-jui-2025 |
Résumé: | In this dissertation, we study the existence and the long-term behavior of certain systems influenced by various dissipation mechanisms, damping effects, and delayed term. By imposing appropriate assumptions, we establish the well-posedness by the application of semigroup theory or the Faedo-Galerkin approach. To achieve the desired stability results for the systems, we employ the multiplier method.To support the theoretical findings, a numerical analysis is conducted for each problem. Fully discrete approximations are formulated using the finite-element method combined with the implicit Euler scheme. Numerical simulations, implemented in MATLAB, are provided to illustrate the accuracy of the approximations and the behavior of the solutions. |
URI/URL: | http://dspace.univ-setif.dz:8888/jspui/handle/123456789/5336 |
Collection(s) : | Thèses de doctorat
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