Analysis and Optimization of Robin-Robin Partitioned Procedures in Fluid-Structure Interaction Problems

In the solution of Fluid-Structure Interaction problems, partitioned procedures are modular algorithms that involve separate fluid and structure solvers, that interact, in an iterative framework, through the exchange of suitable transmission conditions at the FS interface. In this work we study, using Fourier analysis, the convergence of partitioned algorithms based on Robin transmission conditions. We derive, for different models of the fluid and the structure, a frequency dependent reduction factor at each iteration of the partitioned algorithm, which is minimized by choosing optimal values ∗The research of the second and of the third author has been (partially) supported by the ERC Advanced Grant N.227058 MATHCARD.