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

Optimized Schwarz methods for the time-dependent Stokes-Darcy coupling