In this paper, a two-grid method with backtracking is proposed and investigated for the mixed Stokes/Darcy system which describes a fluid flow coupled with a porous media flow. Based on the classical two-grid method [15], a coarse mesh correction is carried out to derive optimal error bounds for the velocity field and the piezometric head in L 2 norm. Finally, results of numerical experiments are provided to support the theoretical results.

中文翻译：

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Stokes / Darcy混合模型的带回溯的两网格方法

本文提出了一种带有回溯的两网格方法，并研究了混合斯托克斯/达西系统的描述，该系统描述了与多孔介质流耦合的流体流。基于经典的两网格方法[15]，进行了粗网格校正，以得出L 2范数中速度场和测压头的最佳误差范围。最后，提供了数值实验的结果以支持理论结果。