Fluid-structure interaction (FSI) solvers based on vector extrapolation methods are discussed. The FSI solver framework builds upon a Dirichlet-Neumann partitioning between general purpose fluid and structural solver. For strong coupling of the two fields vector extrapolation methods are employed to obtain a matrix free nonlinear solver. The emphasis of this presentation is on the embedding of well known vector extrapolation methods in a popular FSI solver framework and, in particular, the relation of these vector extrapolation methods to established fixed-point FSI schemes.