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| Content Provider | Springer Nature Link |
|---|---|
| Author | Wang, Junping Ye, Xiu |
| Copyright Year | 2015 |
| Abstract | This paper introduces a weak Galerkin (WG) finite element method for the Stokes equations in the primal velocity-pressure formulation. This WG method is equipped with stable finite elements consisting of usual polynomials of degree k≥1 for the velocity and polynomials of degree k−1 for the pressure, both are discontinuous. The velocity element is enhanced by polynomials of degree k−1 on the interface of the finite element partition. All the finite element functions are discontinuous for which the usual gradient and divergence operators are implemented as distributions in properly-defined spaces. Optimal-order error estimates are established for the corresponding numerical approximation in various norms. It must be emphasized that the WG finite element method is designed on finite element partitions consisting of arbitrary shape of polygons or polyhedra which are shape regular. |
| Ending Page | 174 |
| Page Count | 20 |
| Starting Page | 155 |
| File Format | |
| ISSN | 10197168 |
| e-ISSN | 15729044 |
| Journal | Advances in Computational Mathematics |
| Issue Number | 1 |
| Volume Number | 42 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2015-05-23 |
| Publisher Place | New York |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Visualization Computational Mathematics and Numerical Analysis Mathematical and Computational Biology Stokes and related (Oseen, etc.) flows Finite element methods Computational Science and Engineering Variational methods for elliptic systems The stokes equations A priori estimates Polyhedral meshes Error bounds Mathematical Modeling and Industrial Mathematics Weak Galerkin Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Computational Mathematics |
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