Abstract
Chebyshev pseudospectral-hybrid finite element schemes are proposed for two-dimensional vorticity equation. Some approximation results in non-isotropic Sobolev spaces are presented. The generalized stability and the convergence are proved. The hybrid finite element approximation provides the optimal convergence rate. The numerical results show the advantages of the approach. The technique in this paper is also applicable to other nonlinear problems in computational fluid dynamics.
| Original language | English |
|---|---|
| Pages (from-to) | 873-905 |
| Journal | Mathematical Modelling and Numerical Analysis |
| Volume | 30 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1996 |
| Externally published | Yes |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to <a href="mailto:[email protected]">[email protected]</a>.Research Keywords
- Chebyshev pseudospectral-finite element approximation
- Two-dimensional vorticity equation