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Domain decomposition of optimal control problems for doubly non-linear parabolic problems of p-type on metric graphs
Multi angle
Authors : Leugering, Günter (Author of the conference)
CIRM (Publisher )
35K55 - Nonlinear parabolic equations
49K20 - Optimal control problems with PDE (optimality conditions)
65M55 - Multigrid methods; domain decomposition (IVP of PDE)
CIRM (Publisher )
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Abstract :
We consider optimal control problems for doubly nonlinear parabolic problems of p-type on metric graphs. We propose a space-time domain decomposition method based on Robin interface conditions. We proof convergence and provide numerical examples.
Keywords : non-overlapping domain decomposition; optimal control; p-parabolic systems; metric graphs
MSC Codes : Keywords : non-overlapping domain decomposition; optimal control; p-parabolic systems; metric graphs
35K55 - Nonlinear parabolic equations
49K20 - Optimal control problems with PDE (optimality conditions)
65M55 - Multigrid methods; domain decomposition (IVP of PDE)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 22/09/2022 Conference Date : 08/09/2022 Subseries : Research School arXiv category : Optimization and Control Mathematical Area(s) : Control Theory & Optimization Format : MP4 (.mp4) - HD Video Time : 00:49:07 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-09-08_Leugerin.mp4 
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Information on the Event
Event Title : 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 optimalEvent Organizers : Gander, Martin ; Hubert, Florence Dates : 05/09/2022 - 09/09/2022 Event Year : 2022 Event URL : https://www.chairejeanmorlet.com/2644.html
Citation Data
DOI : 10.24350/CIRM.V.19955003Cite this video as: Leugering, Günter (2022). Domain decomposition of optimal control problems for doubly non-linear parabolic problems of p-type on metric graphs. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19955003 URI : http://dx.doi.org/10.24350/CIRM.V.19955003 |
See Also
- [Multi angle] An introduction to domain decomposition method - Lecture 2 / Author of the conference Dolean, Victorita.
- [Multi angle] An introduction to domain decomposition method - Lecture 1 / Author of the conference Dolean, Victorita.
- [Multi angle] Introduction to PDE-constrained optimization - Lecture 2 / Author of the conference Volkwein, Stefan.
- [Multi angle] Introduction to PDE-constrained optimization - Lecture 1 / Author of the conference Volkwein, Stefan.
Bibliography
- KRUG, Richard, LEUGERING, Günter, MARTIN, Alexander, et al. Time-domain decomposition for optimal control problems governed by semilinear hyperbolic systems. SIAM Journal on Control and Optimization, 2021, vol. 59, no 6, p. 4339-4372. - https://doi.org/10.1137/20M138329X
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