Abstract
Superconvergence of a mixed finite element approximation for the three-dimensional Stokes problem is presented. By using the Bernadi-Raugel mixed finite elements which satisfies the Babuska-Brezzi condition a basic error is gained. Considering the problem on the piecewise uniform cuboid elements in the three-dimensional space, the convergence rate of the solution can be increased an order by using the interpolation and Bramble-Hibert lemma.
| Original language | English |
|---|---|
| Pages (from-to) | 1092-1095 |
| Number of pages | 4 |
| Journal | Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology |
| Volume | 25 |
| Issue number | 12 |
| Publication status | Published - Dec 2005 |
Keywords
- Bernadi-Raugel element
- Mixed finite elements
- Post-processing
- Stokes problem
- Superconvergence