Abstract A decoupled finite element method with different time steps for the nonstationary Darcy--Brinkman problem is considered in this paper. Moreover, for the presented method, the stability analysis and error estimates are deduced. Finally, numerical tests are provided that demonstrate the efficiency of the method. It is found the presented method can save lots of computational time compared with standard coupled method.

中文翻译：

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非平稳 Darcy-Brinkman 问题的不同时间步解耦有限元方法

摘要 本文研究了非平稳Darcy-Brinkman问题的不同时间步长解耦有限元方法。此外，对于所提出的方法，推导出稳定性分析和误差估计。最后，提供了数值测试，证明了该方法的有效性。发现与标准耦合方法相比，所提出的方法可以节省大量的计算时间。