In this paper, we propose and analyze a second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model. It is based on the second-order spectral deferred correction method in time and the finite element method in space. We provide the stability and convergence results of our decoupled scheme. Last, some numerical experiments are given to illustrate the accuracy and effectiveness of our decoupled scheme.

中文翻译：

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非平稳斯托克斯/达西模型的具有不同子域时间步长的二阶解耦算法

在本文中，我们提出并分析了非平稳Stokes / Darcy模型具有不同子域时间步长的二阶解耦算法。它基于时间上的二阶频谱延迟校正方法和空间上的有限元方法。我们提供了解耦方案的稳定性和收敛性结果。最后，通过一些数值实验来说明我们解耦方案的准确性和有效性。