Search

This paper is concerned with boundary integral equation methods for solving the two-dimensional fluid-solid interaction problem. We reduce the problem to three different systems of boundary integral equations via direct and indirect approach es. Existence and uniqueness results for variational solutions of boundary integral equations are established. Since in all these variational formulations, the hypersingular boundary integral operator assoc iated with the time-harmonic Navier equation is a dominating integral operator, we also include a new regularization formulation for this hypersingular operator, which allows us to treat the hypersingular kernel by a weakly singular kernel. Numerical examples are presented to verify and validate the theoretical results. [ABSTRACT FROM AUTHOR]