RobinRobin preconditioned Krylov methods for fluidstructure interaction problems ?
In this work, we propose a RobinRobin preconditioner combined with Krylov iterations for the solution of the interface system arising in fluidstructure interaction (FSI) problems. It can be seen as a partitioned FSI procedure and in this respect it generalizes the ideas introduced in [S. Badia, F. Nobile, C. Vergara, J. Comput. Phys. 227 (2008) 70277051]. We analyze the convergence of GMRES iterations with the RobinRobin preconditioner on a model problem and compare its efficiency with some existing algorithms. The method is shown to be very efficient for many challenging fluidstructure interaction problems, such as those characterized by a large added-mass effect or by enclosed fluids. In particular, the possibility to solve balloon-type problems without any special treatment makes this algorithm very appealing compared to the computationally intensive existing approaches.
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