We design and analyze a hybrid high-order method on unfitted meshes to approximate the Stokes interface problem. The interface can cut through the mesh cells in a very general fashion. A cell-agglomeration procedure prevents the appearance of small cut cells. Our main results are inf-sup stability and a priori error estimates with optimal convergence rates in the energy norm. Numerical simulations corroborate these results.

中文翻译：

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Stokes界面问题的不拟合混合高阶方法

我们设计和分析了一种非拟合网格上的混合高阶方法，以近似于斯托克斯接口问题。该界面可以以非常普通的方式切穿网格单元。细胞团聚过程可防止小切细胞的出现。我们的主要结果是inf-up稳定性和能量范数中具有最佳收敛速度的先验误差估计。数值模拟证实了这些结果。