  This paper derives optimal coefficients for optimized Schwarz iterations for
the time-dependent Stokes-Darcy problem using an innovative strategy to solve a
nonstandard min-max problem. The coefficients take into account both physical
and discretization parameters that characterize the coupled problem, and they
guarantee the robustness of the associated domain decomposition method.
Numerical results validate the proposed approach in several test cases with
physically relevant parameters.
