In this paper, a semi‐discrete scheme and a fully discrete scheme of the Stokes‐Biot model are proposed, and we analyze the semi‐discrete scheme in detail. First of all, we prove the existence and uniqueness of the semi‐discrete scheme, and a‐priori error estimates are derived. Then, we present the same conclusions for the fully discrete scheme. Finally, under both matching and non‐matching meshes some numerical tests are given to validate the analysis of convergence, which well support the theoretical results.

中文翻译：

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Stokes-Biot耦合模型的间断Galerkin方法

本文提出了Stokes-Biot模型的半离散方案和完全离散方案，并详细分析了半离散方案。首先，我们证明了半离散方案的存在性和唯一性，并推导了先验误差估计。然后，我们对完全离散的方案给出相同的结论。最后，在匹配和不匹配网格下，都进行了一些数值测试以验证收敛性分析，这很好地支持了理论结果。