Geodesic
On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems
F. Boyer1
1 Aix Marseille Université, CNRS, Centrale Marseille, LATP, UMR 7353, 13453 Marseille, FRANCE
ESAIM. Proceedings, Tome 41 (2013), pp. 15-58.

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This article deals with the problem of computing numerical approximations of null-controls for parabolic equations or systems by using the Hilbert Uniqueness Method (HUM). We mainly review recent results on this subject but we also provide new elements to emphasize the main ideas underlying the penalised HUM approach which is at the heart of the methods used in practice. We give many numerical illustrations.
DOI : 10.1051/proc/201341002

F. Boyer 1

1 Aix Marseille Université, CNRS, Centrale Marseille, LATP, UMR 7353, 13453 Marseille, FRANCE 
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F. Boyer. On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems. ESAIM. Proceedings, Tome 41 (2013), pp. 15-58. doi : 10.1051/proc/201341002. http://geodesic.mathdoc.fr/articles/10.1051/proc/201341002/

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