Abstract In this paper, we analyze a second-order numerical algorithm for the non-stationary mixed Stokes/Darcy equations with Beavers–Joseph–Saffman’s interface condition. The scheme is based on a finite element method in space and the parareal method with spectral deferred correction in time. We present the unconditional stability and the optimal error estimate of the full-discrete scheme. Finally, some numerical experiments are given to verify the effectiveness.

中文翻译：

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对Stokes/Darcy方程的谱延迟校正方法的parareal方法分析

摘要 在本文中，我们分析了具有 Beavers-Joseph-Saffman 界面条件的非平稳混合 Stokes/Darcy 方程的二阶数值算法。该方案基于空间中的有限元方法和具有光谱延迟时间校正的拟实方法。我们提出了全离散方案的无条件稳定性和最优误差估计。最后，给出了一些数值实验来验证其有效性。