| Title:
|
Guaranteed and fully computable two-sided bounds of Friedrichs’ constant (English) |
| Author:
|
Vejchodský, Tomáš |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Dolní Maxov, June 3-8, 2012 |
| Issue:
|
2012 |
| Year:
|
|
| Pages:
|
195-201 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This contribution presents a general numerical method for computing lower and
upper bound of the optimal constant in Friedrichs’ inequality. The standard Rayleigh-Ritz method is used for the lower bound and the method of $\textit {a\ priori-a\ posteriori\ inequalities}$ is employed for the upper bound. Several numerical experiments show applicability and accuracy of this approach. (English) |
| Keyword:
|
Friedrichs' constant |
| Keyword:
|
a posteriori error estimates |
| Keyword:
|
eigenvalue problem |
| MSC:
|
65N08 |
| MSC:
|
65N25 |
| MSC:
|
65N30 |
| . |
| Date available:
|
2015-07-08T06:45:53Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702727 |
| . |
