Séminaire Analyse Numérique et EDP
Optimal sampling strategies for approximation from measurements
oct. 2023
Intervenant : Matthieu Dolbeault
Institution : RWTH Aachen
Heure : 14h00 - 15h00
Lieu : 3L8

In this talk, we investigate the inverse problem of approximating the solution of an equation from measurements, with a focus on the placement of the sensors. If we know a reduced model for the equation, that is, a linear space of reduced dimension providing a good approximation to the set of all solutions, then the reconstruction can be obtained by a least-squares fit of the data. However the stability of this method depends on the choice of measurements, and we will consider various strategies for achieving near-optimal accuracy with a limited number of sensors.

[L'exposé sera précédé par un "pré-exposé" à 13h30 dans la même salle, par Hugo Leclerc.]

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