[Glowinski et le contrôle numérique]
Dans cet article, on rappelle quelques contributions sur contrôle numérique des EDPs issues du travail de Roland Glowinski. On considérera des problèmes de contrôlabilité nulle pour des équations de la chaleur linéaires et non linéaires et aussi pour des systèmes à frontière libre. Nous regarderons aussi quelques problèmes de contrôle optimal bi-objectif. En outre, quelques méthodes et résultats nouveaux seront annoncés.
This paper is devoted to recall several contributions to the numerical control of PDE’s that have origin in Glowinski’s work. I will consider null controllability problems for linear and nonlinear heat equations and some free-boundary systems. We will also deal with some bi-objective optimal control problems. Additionally, some new methods and results will be announced.
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Keywords: Controllability of linear and nonlinear PDE’s, control of free-boundary problems, bi-objective optimal control problems, Nash equilibria, numerical methods
Mot clés : Contrôlabilité des EDPs linéaires et non linéaires, contrôle de problèmes de frontières libre, Problèmes de contrôle bi-objectif, Equilibria de Nash, Méthodes numériques
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@article{CRMECA_2023__351_S1_411_0,
author = {Enrique Fern\'andez-Cara},
title = {Glowinski and numerical control problems},
journal = {Comptes Rendus. M\'ecanique},
pages = {411--430},
publisher = {Acad\'emie des sciences, Paris},
volume = {351},
number = {S1},
year = {2023},
doi = {10.5802/crmeca.177},
language = {en},
}
Enrique Fernández-Cara. Glowinski and numerical control problems. Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 411-430. doi : 10.5802/crmeca.177. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.177/
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