Gerd Kunert, Serge Nicaise
Zienkiewicz-Zhu error estimators on anisotropic tetrahedral and triangular finite element meshes
Dokumente und Dateien
- Volltext (html) - 0.00 MByte - MD5 SHA512
- data/preprint01-20.pdf - 0.42 MByte - MD5 SHA512
- data/preprint01-20.ps - 0.72 MByte - MD5 SHA512
- Digitale Signatur - 0.00 MByte - MD5 SHA512
Hinweis
Bitte nutzen Sie beim Zitieren immer folgende Url:
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200100599
Kurzfassung in Englisch
We consider a posteriori error estimators that can be applied to anisotropic tetrahedral finite element meshes, i.e. meshes where the aspect ratio of the elements can be arbitrarily large.
Two kinds of Zienkiewicz-Zhu (ZZ) type error estimators are derived which are both based on some recovered gradient. Two different, rigorous analytical approaches yield the equivalence of both ZZ error estimators to a known residual error estimator. Thus reliability and efficiency of the ZZ error estimation is obtained. Particular attention is paid to the requirements on the anisotropic mesh.
The analysis is complemented and confirmed by several numerical examples.
weitere Metadaten
| Schlagwörter | anisotropic mesh |
| Schlagwörter | error estimator |
| Schlagwörter | Zienkiewicz-Zhu estimator |
| Schlagwörter | recovered gradient |
| DDC Klassifikation | 510 |
| DDC Klassifikation | 004 |
| Institution(en) | |
| Institution | TU Chemnitz |
| Abteilung | SFB 393 |
| Dokumententyp | Preprint |
| Sprache | Englisch |
| Veröffentlichungsdatum (online) | 10.07.2001 |
| persistente URN | urn:nbn:de:bsz:ch1-200100599 |