This paper derives optimized 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.

中文翻译：

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针对瞬态 Stokes-Darcy 耦合的优化 Schwarz 方法

本文使用创新策略来解决非标准最小-最大问题，为瞬态斯托克斯-达西问题的优化施瓦茨迭代导出优化系数。这些系数考虑了表征耦合问题的物理参数和离散化参数，并且保证了相关域分解方法的鲁棒性。数值结果在具有物理相关参数的几个测试案例中验证了所提出的方法。