Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902163 | Journal of Computational and Applied Mathematics | 2018 | 23 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tie Zhang, Tao Lin,