Large-scale simulations of acoustic-structure interaction using the fast multipole BEM<FNR></FNR><FN>Plenary lecture presented at the 76th Annual GAMM Conference, Luxembourg, 29 March-1 April 2005. This paper is based on the first author's plenary lecture at the GAMM meeting in March 2005 at Luxembourg but it only treats a small portion of that talk and concentrates on the simulation of structure-acoustic field interaction using the BEM. </FN>

For the simulation of acoustic-structure interaction problems, the coupled field equations must be solved. The structure is commonly discretized using finite elements, whereas for the acoustic field the boundary element method (BEM) is favorable. A mortar BEM-FEM coupling algorithm is developed that allows the combination of non-conforming meshes. The high flexibility for the choice of discretizations offers a high efficiency, since specialized shape functions and adaptive mesh refinement can be used in the subdomains. The mortar coupling algorithm yields a saddle point problem that is solved using a preconditioned inexact Uzawa algorithm. The iterative solver enables the use of the fast multipole BEM and thus coupled simulations on large boundary element models. [ABSTRACT FROM AUTHOR]