A stable weak Galerkin finite element method for Stokes problem

作者：Zhang, Tie^*; Lin, Tao

来源：Journal of Computational and Applied Mathematics, 2018, 333: 235-246.

DOI：10.1016/j.cam.2017.10.042

• Weak Galerkin method
• Stokes problem
• Stability
• Optimal error estimate

We study the weak Galerkin finite element method for Stokes problem. A new weak Galerkin finite element velocity-pressure space pair is presented which satisfies the discrete inf-sup condition. Based on this space pair, we establish a stable weak Galerkin approximation scheme without adding any stability term or penalty term. Then, we further derive the optimal error estimates for velocity and pressure approximations, respectively. Numerical experiments are provided to illustrate the theoretical analysis.

• 出版日期2018-5-1
• 单位东北大学; 美国弗吉尼亚理工大学(Virginia Tech)