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：本文采用免稳定子弱Galerkin（SFWG）有限元方法求解双调和方程的Ciarlet-Raviart混合形式。通过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分析结果。