On the stability of a loosely-coupled scheme based on a Robin interface condition for fluid-structure interaction

We consider a loosely-coupled algorithm for fluid-structure interaction based on Robin interface condition the fluid problem (explicit Robin-Neumann scheme). study dependence of stability this method parameter in condition. In particular, model we find sufficient conditions instability and method. latter case, relating time discretization parameter, structure densities. Numerical experiments confirm theoretical findings highlight optimal choices that guarantee accurate solutions.