In this article we design new partitioned procedures for fluid-structure interaction problems, based on Robin-type transmission conditions. The choice of the coefficient in the Robin conditions is justified via simplified models. The strategy is effective whenever an incompressible fluid interacts with a relatively thin membrane, as in hemodynamics applications. We analyze theoretically the new iterative procedures on a model problem, which represents a simplified blood-vessel system. In particular, the Robin-Neumann scheme exhibits enhanced convergence properties with respect to the existing partitioned procedures. The theoretical results are checked using numerical experimentation. (C) 2008 Elsevier Inc. All rights reserved.
Kumar Varoon Agrawal, Marina Micari
Niels Quack, Dorian Giraud Herle
François Gallaire, Pier Giuseppe Ledda, Giuseppe Antonio Zampogna, Kevin Wittkowski