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Problème de contrôle optimal frontière pour l'équation de la chaleur : Approche variationnelle et pénalisation

Abstract : Our goal is to give a detailed analysis of an optimal control problem where the control variable is a rather boundary condition of Dirichlet type in L². We focus on establishing an appropriate variationnel approach to the optimal problem. We use the penalization method for the boundary control problem and we study the convergence between the penalized and the non-penalized boundary control problem. A numerical result is reported on to validate the convergence.
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https://hal.inria.fr/hal-01263432
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Submitted on : Wednesday, January 27, 2016 - 5:14:05 PM
Last modification on : Wednesday, October 28, 2020 - 12:10:04 PM
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H. Metoui. Problème de contrôle optimal frontière pour l'équation de la chaleur : Approche variationnelle et pénalisation. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2006, 5, pp.272-288. ⟨hal-01263432⟩

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