Abstract
A new stabilized finite-element method is presented for the Stokes problem. The method is of a Douglas–Wang type, and includes a positive jump term controlling the residual of the Cauchy stress tensor on the internal edges of the triangulation. A priori error estimates are obtained in the natural norms of the unknowns and an a posteriori error estimator is proposed, analysed and tested through numerical experiments.
| Original language | English |
|---|---|
| Pages (from-to) | 172-197 |
| Number of pages | 26 |
| Journal | IMA Journal of Numerical Analysis |
| Volume | 27 |
| Issue number | 1 |
| Early online date | 15 May 2006 |
| DOIs | |
| Publication status | Published - Jan 2007 |
Keywords
- jump term
- Stokes equation
- stabilized method
- a posteriori analysis
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