The aim of this work is to present a brief report concerning the various aspects of the Reduced Basis Method within Fluid-Structure Interaction problems. The idea is to adopt two different proceduresand apply them to the same test case . First we preform a reduction technique that is based on a monolithic procedure , where we therefore solve all at once the fluid and the solid problem. Then we present an alternative reduction technique , that is based on a partitioned (or segregated) procedure instead: here the fluid and the solid problem are solved separately and then coupled through a fixed point strategy. The toy problem that we consider is  the Turek-Hron benchmark test case, with a fluid Reynolds number Re = 100, which is known to lead to the formation of Karman vortexes in the fluid, and a periodically oscillating behaviour in the structure.
The aim of this work is to present an overview about the combination of the Reduced Basis Method (RBM) with two different approaches for Fluid-Structure Interaction (FSI) problems, namely a monolithic and a partitioned approach. We provide the details of implementation of two reduction procedures, and we then apply them to the same test case of interest. We first implement a reduction technique that is based on a monolithic procedure where we solve the fluid and the solid problems all at once. We then present another reduction technique that is based on a partitioned (or segregated) procedure : the fluid and the solid problems are solved separately and then coupled using a fixed point strategy. The toy problem that we consider is based on the Turek-Hron benchmark test case, with a fluid Reynolds number Re = 100.
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