| Title:
|
On polynomial robustness of flux reconstructions (English) |
| Author:
|
Vlasák, Miloslav |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
65 |
| Issue:
|
2 |
| Year:
|
2020 |
| Pages:
|
153-172 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We deal with the numerical solution of elliptic not necessarily self-adjoint problems. We derive a posteriori upper bound based on the flux reconstruction that can be directly and cheaply evaluated from the original fluxes and we show for one-dimensional problems that local efficiency of the resulting a posteriori error estimators depends on $p^{1/2}$ only, where $p$ is the discretization polynomial degree. The theoretical results are verified by numerical experiments. (English) |
| Keyword:
|
a posteriori error estimate |
| Keyword:
|
$p$-robustness |
| Keyword:
|
elliptic problem |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| idZBL:
|
07217103 |
| idMR:
|
MR4083462 |
| DOI:
|
10.21136/AM.2020.0152-19 |
| . |
| Date available:
|
2020-05-20T15:45:00Z |
| Last updated:
|
2022-05-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148107 |
| . |
| Reference:
|
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