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Sequential parameter estimation for fluid–structure problems: Application to hemodynamics
Author(s) -
Bertoglio Cristóbal,
Moireau Philippe,
Gerbeau JeanFrederic
Publication year - 2012
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1476
Subject(s) - kalman filter , estimation theory , tangent , parameter space , fluid–structure interaction , mathematics , displacement (psychology) , mathematical optimization , computer science , control theory (sociology) , algorithm , finite element method , engineering , geometry , artificial intelligence , structural engineering , psychology , control (management) , psychotherapist
SUMMARY We present a robust and computationally efficient parameter estimation strategy for fluid–structure interaction problems. The method is based on a filtering algorithm restricted to the parameter space, known as the reduced‐order unscented Kalman filter. It does not require any adjoint or tangent problems. In addition, it can easily be run in parallel, which is of great interest in fluid–structure problems where the computational cost of the forward simulation is already a challenge in itself. We illustrate our methodology with the estimation of the artery wall stiffness from the wall displacement measurements – as they could be extracted from medical imaging – in a three‐dimensional idealized abdominal aortic aneurysm. We also show preliminary results about the estimation of the proximal Windkessel resistance, which is an important parameter for setting appropriate fluid boundary conditions. Copyright © 2011 John Wiley & Sons, Ltd.