The purpose of this paper is to investigate the connections between the weak Galerkin (WG) methods with and without stabilizers. The choices of stabilizers directly affect the convergence rates of the corresponding WG methods in general. However, we observed that the convergence rates are independent of the choices of stabilizers for these WG elements with stabilizers being optional. In this paper, we will verify such phenomena theoretically as well as numerically.

中文翻译：

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带有或不带有稳定器的弱Galerkin有限元方法

本文的目的是研究带有和不带有稳定剂的弱Galerkin（WG）方法之间的联系。通常，稳定剂的选择直接影响相应WG方法的收敛速度。但是，我们观察到，对于这些WG元素，收敛速度与稳定剂的选择无关，而稳定剂是可选的。在本文中，我们将在理论上和数值上验证这种现象。