Data assimilation problems in haemodynamics
Résumé
Several data assimilation problems in haemodynamics are discussed. In view of solving them in an efficient way two sets of contributions are presented. First, we discuss how an optimal recovery formulation can be set-up and adapted to the context of haemodynamics. This can be beneficial in view of solving in estimating quantities of interest from Doppler ultrasound images. Second, we present a contribution in parameter estimation. A parametric solver is defined, which makes it possible to perform a sequential Bayesian estimation.