English
Introduction to PDE-constrained optimization - Lecture 1
Multi angle
Auteurs : Volkwein, Stefan (Auteur de la Conférence)
CIRM (Editeur )
49J20 - Optimal control problems involving partial differential equations
49K20 - Optimal control problems with PDE (optimality conditions)
90Cxx - Mathematical programming
49M41 - PDE constrained optimization (numerical aspects)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2644/Slides/Volkwein-Part1b.pdf
CIRM (Editeur )
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Résumé :
In the two lectures an introduction to PDE-constrained optimization is given. Exemplary, the techniques are described for linear elliptic and parabolic equations. First-order optimality conditions are derived. Then, these techniques are extended to more difficult problems including inequality constraints and nonlinearities. Furthermore, second-order methods for optimization are explained.
Keywords : PDE-constrained optimization; optimality conditions; elliptic and parabolic equations; optimization methods
Codes MSC : Keywords : PDE-constrained optimization; optimality conditions; elliptic and parabolic equations; optimization methods
49J20 - Optimal control problems involving partial differential equations
49K20 - Optimal control problems with PDE (optimality conditions)
90Cxx - Mathematical programming
49M41 - PDE constrained optimization (numerical aspects)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2644/Slides/Volkwein-Part1b.pdf
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Informations sur la Vidéo
Réalisateur : Petit, JeanLangue : Anglais Date de publication : 22/09/2022 Date de captation : 05/09/2022 Sous collection : Research School arXiv category : Optimization and Control ; Numerical Analysis Domaine : Numerical Analysis & Scientific Computing ; Control Theory & Optimization ; PDE Format : MP4 (.mp4) - HD Durée : 00:47:35 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-09-05_Volkwein.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean-Morlet Chair 2022: Research School - Domain Decomposition for Optimal Control Problems / Chaire Jean-Morlet 2022 - Ecole - Décomposition des domaines pour des problèmes de contrôle optimalOrganisateurs de la rencontre : Gander, Martin ; Hubert, Florence Dates : 05/09/2022 - 09/09/2022 Année de la rencontre : 2022 URL Congrès : https://www.chairejeanmorlet.com/2644.html
Données de citation
DOI : 10.24350/CIRM.V.19954403Citer cette vidéo: Volkwein, Stefan (2022). Introduction to PDE-constrained optimization - Lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19954403 URI : http://dx.doi.org/10.24350/CIRM.V.19954403 |
Voir aussi
- [Multi angle] Domain decomposition of optimal control problems for doubly non-linear parabolic problems of p-type on metric graphs / Auteur de la Conférence Leugering, Günter.
- [Multi angle] An introduction to domain decomposition method - Lecture 2 / Auteur de la Conférence Dolean, Victorita.
- [Multi angle] An introduction to domain decomposition method - Lecture 1 / Auteur de la Conférence Dolean, Victorita.
- [Multi angle] Introduction to PDE-constrained optimization - Lecture 2 / Auteur de la Conférence Volkwein, Stefan.
Bibliographie
- Author's publications - https://www.mathematik.uni-konstanz.de/en/volkwein/research/publications/
Imagette Video
