论文标题
普通的弱绿素方法用于Stokes方程
Generalized Weak Galerkin Methods For Stokes Equations
论文作者
论文摘要
通过使用弱梯度的新定义，在本文中引入了一种新的弱Galerkin有限元方法，称为广义弱彩手方法（{g} wg）。速度的能量规范和$ l^2 $规范的错误估计以及压力的$ l^2 $标准是针对多项式组合组合的元素得出的。提出了一些数值示例，以验证拟议方案的有效性，理论收敛顺序和鲁棒性。
A new weak Galerkin finite element method, called generalized weak Galerkin method ({g}WG), is introduced for Stokes equations in this paper by using a new definition of the weak gradient. Error estimates in energy norm and $L^2$ norm for the velocity and $L^2$ norm for the pressure are derived for elements with arbitrary combination of polynomials. Some numerical examples are presented to verify the effectiveness, theoretical convergence orders, and robustness of the proposed scheme.
