The weak Galerkin (WG) finite element method is an effective and flexible general numerical techniques for solving partial differential equations. A simple weak Galerkin finite element method is introduced for second order elliptic problems. First we have proved that stabilizers are no longer needed for this WG element. Then we have proved the supercloseness of order two for the WG finite element solution. The numerical results confirm the theory

中文翻译：

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一种具有二阶超接近性的无稳定器弱伽辽金有限元方法

弱伽辽金（WG）有限元法是求解偏微分方程的一种有效且灵活的通用数值技术。针对二阶椭圆问题引入了一种简单的弱伽辽金有限元方法。首先，我们已经证明此 WG 元素不再需要稳定器。然后我们证明了WG有限元解的二阶超接近性。数值结果证实了理论