构造了一个用于对流扩散问题的任意四边形有限元, 在任意四边形网格上得到了最优收敛阶$O(h^{\frac{3}{2}})$, 这是Wilson元和类Wilson元所得不到的,这里$h$是趋向于0的剖分参数.

In this paper, a new arbitrary quadrilateral nonconforming finite element method (FEM) is constructed and applied to the convection-diffusion problems. The optimal convergence result of order $O(h^{\frac{3}{2}})$, which can not be obtained by the Wilson element and quasi-Wilson element for arbitrary quadrilateral meshes, is derived, where $h$ is the subdivision parameter tending to zero.