SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2537-A2560, January 2020.
In this paper, we introduce staggered discontinuous Galerkin methods for the stationary Stokes flow on polygonal meshes. The proposed method is based on the pseudostress-velocity formulation. A Lagrange multiplier on dual edges is introduced to impose the continuity of the pseudostress, which reduces the size of the final system via hybridization and eases the construction of the finite element space for the approximation of the pseudostress. The resulting method is stable and optimally convergent even on distorted or concave polygonal meshes. In addition, hanging nodes can be automatically incorporated in the construction of the method, which favors adaptive mesh refinement. Two types of local postprocessing for the velocity field are proposed to obtain one order higher convergence. Numerical experiments are provided to validate the theoretical findings and demonstrate the performance of the proposed method.

中文翻译：

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通用网格上Stokes方程拟应力速度表达式的交错DG方法

SIAM科学计算杂志，第42卷，第4期，第A2537-A2560页，2020年1月。
在本文中，我们介绍了交错不连续Galerkin方法用于多边形网格上的静态Stokes流。该方法基于拟应力速度公式。引入了双边拉格朗日乘子以施加假应力的连续性，从而通过杂交减小了最终系统的大小，并简化了用于逼近假应力的有限元空间的构造。所得方法即使在变形或凹入的多边形网格上也稳定且最佳收敛。另外，可以将悬挂节点自动合并到该方法的构造中，这有利于自适应网格细化。提出了两种针对速度场的局部后处理，以获得一阶更高的收敛性。