| Title:
|
Finite element analysis for a regularized variational inequality of the second kind (English) |
| Author:
|
Zhang, Tie |
| Author:
|
Zhang, Shuhua |
| Author:
|
Azari, Hossein |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2012 |
| Volume:
|
Proceedings. Prague, May 2-5, 2012 |
| Issue:
|
2012 |
| Year:
|
|
| Pages:
|
317-331 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we investigate the a priori and the a posteriori error analysis for the finite element approximation to a regularization version of the variational inequality of the second kind. We prove the abstract optimal error estimates in the $H^1$- and $L_2$-norms, respectively, and also derive the optimal order error estimate in the $L_\infty$-norm under the strongly regular triangulation condition. Moreover, some residual--based a posteriori error estimators are established, which can provide the global upper bounds on the errors. These a posteriori error results can be applied to develop the adaptive finite element methods. Finally, we supply some numerical experiments to validate the theoretical results. (English) |
| Keyword:
|
finite element approximation |
| Keyword:
|
a priori error estimates |
| Keyword:
|
a posteriori error estimates |
| Keyword:
|
numerical examples |
| Keyword:
|
variational inequality |
| Keyword:
|
stability |
| MSC:
|
49J40 |
| MSC:
|
49M25 |
| MSC:
|
65K15 |
| MSC:
|
65N12 |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| idZBL:
|
Zbl 1313.65176 |
| idMR:
|
MR3204423 |
| . |
| Date available:
|
2017-02-14T09:05:47Z |
| Last updated:
|
2017-04-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702917 |
| . |
