  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 procedures and 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.
