In this article, the stabilizer free weak Galerkin (SFWG) finite element method is applied to the Ciarlet-Raviart mixed form of the Biharmonic equation. We utilize the SFWG solutions of the second elliptic problems to define projection operators, build error equations, and further derive the error estimates. Finally, numerical examples support the results reached by the theory.

翻译：本文应用稳定子自由弱伽辽金（SFWG）有限元方法求解双调和方程的Ciarlet-Raviart混合形式。我们利用二阶椭圆问题的SFWG解定义投影算子，建立误差方程，并进一步推导误差估计。最后，数值算例验证了理论所得结论。