In this paper, we develop a Nitsche’s type interface stabilized method for fully mixed Stokes–Darcy problem with original Beavers–Joseph conditions. The method introduces two strongly consistent interface stabilization terms to guarantee the stability of the fully mixed finite element method. The stability and optimal error estimates of this new stabilized method are also derived.

中文翻译：

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带海狸-约瑟夫条件的完全混合斯托克斯-达西问题的尼采类型稳定有限元方法

在本文中，我们针对原始Beavers-Joseph条件下的完全混合Stokes-Darcy问题开发了Nitsche型界面稳定方法。该方法引入了两个非常一致的界面稳定项，以保证完全混合有限元方法的稳定性。还推导了这种新的稳定化方法的稳定性和最佳误差估计。