  This work focuses on the development and analysis of a partitioned numerical
method for moving domain, fluid-structure interaction problems. We model the
fluid using incompressible Navier-Stokes equations, and the structure using
linear elasticity equations. We assume that the structure is thick, i.e.,
described in the same dimension as the fluid. We propose a non-iterative,
domain decomposition method where the fluid and the structure sub-problems are
solved separately. The method is based on generalized Robin boundary
conditions, which are used in both fluid and structure sub-problems. Using
energy estimates, we show that the proposed method applied to a moving domain
problem is unconditionally stable. We also analyze the convergence of the
method and show $\mathcal{O}(\Delta t^\frac12)$ convergence in time and optimal
convergence in space. Numerical examples are used to demonstrate the
performance of the method. In particular, we explore the relation between the
combination parameter used in the derivation of the generalized Robin boundary
conditions and the accuracy of the scheme. We also compare the performance of
the method to a monolithic solver.
