Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638588 | Journal of Computational and Applied Mathematics | 2015 | 12 Pages |
Abstract
A modified weak Galerkin (MWG) finite element method is introduced for the Stokes equations in the primary velocity–pressure formulation. This method is based on the weak Galerkin (WG) finite element method developed recently in Wang and Ye (0000). The unknowns associated with element boundaries in the WG method have been eliminated in the MWG method. As the result, the MWG method has fewer degrees of freedom. Optimal-order error estimates are established for the corresponding numerical approximation in various norms. Numerical results are presented to confirm the theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lin Mu, Xiaoshen Wang, Xiu Ye,