Stability of a coupling technique for partitioned solvers in FSI applications

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Performance of partitioned procedures in fluid-structure interaction (2010, methodology): “[37] have presented a stability analysis of the Gauss-Seidel iterations between the flow solver and the structural solver in a partitioned simulation of the one-dimensional (1D) unsteady flow in a straight, flexible tube.”
Performance of a new partitioned procedure versus a monolithic procedure in fluid-structure interaction (2009, methodology): “[24], a stability analysis of Gauss–Seidel iterations between a flow solver and a structural solver for the partitioned solution of the flow in a straight flexible tube is presented and it is shown that particular components of the residual with a low wave number are unstable during Gauss–Seidel ite”
Numerical Methods for Fluid-Structure Interaction — A Review (2012, methodology): “In the companion paper (Degroote et al. 2008), the authors indicated that the conventional block Gauss-Seidel method may not converge for FSI problems with strong coupling such as the case when the flexibility of the structure increases (Causin et al. 2005).”