On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems
Résumé
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.
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