| Title:
|
Two-level stabilized nonconforming finite element method for the Stokes equations (English) |
| Author:
|
Su, Haiyan |
| Author:
|
Huang, Pengzhan |
| Author:
|
Feng, Xinlong |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
58 |
| Issue:
|
6 |
| Year:
|
2013 |
| Pages:
|
643-656 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this article, we present a new two-level stabilized nonconforming finite elements method for the two dimensional Stokes problem. This method is based on a local Gauss integration technique and the mixed nonconforming finite element of the $NCP_{1}-P_{1}$ pair (nonconforming linear element for the velocity, conforming linear element for the pressure). The two-level stabilized finite element method involves solving a small stabilized Stokes problem on a coarse mesh with mesh size $H$ and a large stabilized Stokes problem on a fine mesh size $h=H/3$. Numerical results are presented to show the convergence performance of this combined algorithm. (English) |
| Keyword:
|
Stokes problem |
| Keyword:
|
two-level method |
| Keyword:
|
nonconforming finite element |
| Keyword:
|
error estimate |
| Keyword:
|
numerical result |
| MSC:
|
65M12 |
| MSC:
|
65M60 |
| MSC:
|
76D07 |
| idZBL:
|
Zbl 06312919 |
| idMR:
|
MR3162752 |
| DOI:
|
10.1007/s10492-013-0032-4 |
| . |
| Date available:
|
2013-11-09T20:16:24Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143503 |
| . |
| Reference:
|
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| Reference:
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