Abstract
This paper provides a way to construct an efficient preconditioner for the total system in strongly coupled fluid-structure interaction problems in case that there is any efficient preconditioner available in each fluid and structure subdomain. In the proposed technique, each preconditioner is applied, in turn, to the unknowns on the corresponding subdomain including those on the common nodes. The stability of such a preconditioner is discussed, and the effectiveness of the proposed preconditioner is shown through numerical experiments with heart simulation.