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.

翻译：本文通过创新策略求解非标准极小极大问题，推导了时间依赖Stokes-Darcy问题优化Schwarz迭代的最优系数。这些系数同时考虑了表征耦合问题的物理参数和离散化参数，保证了相关区域分解方法的鲁棒性。数值结果在多个具有物理相关参数的测试案例中验证了所提出方法的有效性。