论文标题
Stokes界面问题的弱Galerkin有限元方法与曲面接口问题
The weak Galerkin finite element method for Stokes interface problems with curved interface
论文作者
论文摘要
在本文中，我们为Stokes界面问题与曲面接口开发了一种新的弱Galerkin有限元方案。我们在接口处采用独特的矢量值函数，并在变化问题中反映界面条件。理论分析和数值实验表明，这些错误可以在能量规范和$ l^2 $ norm中达到最佳收敛顺序。
In this paper, we develop a new weak Galerkin finite element scheme for the Stokes interface problem with curved interfaces. We take a unique vector-valued function at the interface and reflect the interface condition in the variational problem. Theoretical analysis and numerical experiments show that the errors can reach the optimal convergence order under the energy norm and $L^2$ norm.
