Nobile, FabioPozzoli, MatteoVergara, Christian2012-11-122012-11-122012-11-12201410.1016/j.jcp.2014.05.020https://infoscience.epfl.ch/handle/20.500.14299/86828WOS:000339691700033In this paper we consider the numerical solution of the three-dimensional fluid–structure interaction problem in haemodynamics, in the case of real geometries, physiological data and finite elasticity vessel deformations. We study some new inexact schemes, obtained from semi-implicit approximations, which treat exactly the physical interface conditions while performing just one or few iterations for the management of the interface position and of the fluid and structure non-linearities. We show that such schemes allow to improve the efficiency while preserving the accuracy of the related exact (implicit) scheme. To do this we consider both a simple analytical test case and two real cases of clinical interest in haemodynamics. We also provide an error analysis for a simple differential model problem when a BDF method is considered for the time discretization and only few Newton iterations are performed at each temporal instant.Fluid-structure Interactionfinite elasticityRobin transmission conditionsBDF schemesNewton methodhaemodynamicstext::journal::journal article::research article