| Title:
|
Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method (English) |
| Author:
|
Chen, Wei |
| Author:
|
Lin, Qun |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
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51 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
73-88 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
By means of eigenvalue error expansion and integral expansion techniques, we propose and analyze the stream function-vorticity-pressure method for the eigenvalue problem associated with the Stokes equations on the unit square. We obtain an optimal order of convergence for eigenvalues and eigenfuctions. Furthermore, for the bilinear finite element space, we derive asymptotic expansions of the eigenvalue error, an efficient extrapolation and an a posteriori error estimate for the eigenvalue. Finally, numerical experiments are reported. (English) |
| Keyword:
|
eigenvalue problem |
| Keyword:
|
Stokes problem |
| Keyword:
|
stream function-vorticity-pressure method |
| Keyword:
|
asymptotic expansion |
| Keyword:
|
extrapolation |
| Keyword:
|
a posteriori error estimates |
| MSC:
|
35Q30 |
| MSC:
|
65N25 |
| MSC:
|
65N30 |
| MSC:
|
76D07 |
| idZBL:
|
Zbl 1164.65489 |
| idMR:
|
MR2197324 |
| DOI:
|
10.1007/s10492-006-0006-x |
| . |
| Date available:
|
2009-09-22T18:24:57Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134631 |
| . |
| Reference:
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