Parametric FSI solvers for haemodynamics
Résumé
Data assimilation and uncertainty quantification are essential tasks in numerous realistic applications. They involve a prohibitive computational burden. The goal of the present work is to propose and investigate efficient parametric solvers for Partial Differential Equations describing fluid-structure interaction. The solvers consider parameters as extra variables and enable applications such as parameter estimation and uncertainty quantification. Several formulations will be discussed and numerical experiments will be presented to assess the properties of the methods.