This paper deals with the simulation of the fluid-structure interaction phenomena in micropumps. The proposed solution approach is based on external coupling of two different solvers, which are considered here as "black boxes". Therefore, no specific intervention is necessary into the program code, and solvers can be exchanged arbitrarily.For the realization of the external iteration ioop, two algorithms are considered: the relaxation-based GAuss-SEIDEL method and the computationally more extensive NEWTON method. It is demonstrated in terms of a simplified test case, that for rather weak coupling, the GAUSS-SEIDEL method is sufficient. However, by simply changing the considered fluid from air to water, the two physical domains become strongly coupled, and the GAuss-SEmEL method fails to converge in this case. The NEWTON iteration scheme must be used instead.