| Title:
|
Explicit estimation of error constants appearing in non-conforming linear triangular finite element method (English) |
| Author:
|
Liu, Xuefeng |
| Author:
|
Kikuchi, Fumio |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
63 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
381-397 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The non-conforming linear ($P_1$) triangular FEM can be viewed as a kind of the discontinuous Galerkin method, and is attractive in both the theoretical and practical purposes. Since various error constants must be quantitatively evaluated for its accurate a priori and a posteriori error estimates, we derive their theoretical upper bounds and some computational results. In particular, the Babuška-Aziz maximum angle condition is required just as in the case of the conforming $P_1$ triangle. Some applications and numerical results are also included to see the validity and effectiveness of our analysis. (English) |
| Keyword:
|
FEM |
| Keyword:
|
non-conforming linear triangle |
| Keyword:
|
a priori error estimate |
| Keyword:
|
a posteriori error estimate |
| Keyword:
|
error constant |
| Keyword:
|
Raviart-Thomas element |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| idZBL:
|
Zbl 06945738 |
| idMR:
|
MR3842959 |
| DOI:
|
10.21136/AM.2018.0097-18 |
| . |
| Date available:
|
2018-07-30T11:27:40Z |
| Last updated:
|
2020-09-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147316 |
| . |
| Reference:
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