Gerd Kunert
A posteriori H^1 error estimation for a singularly perturbed reaction diffusion problem on anisotropic meshes
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Kurzfassung in Englisch
The paper deals with a singularly perturbed reaction diffusion model problem. The focus is on reliable a posteriori error estimators for the H^1 seminorm that can be applied to anisotropic finite element meshes.
A residual error estimator and a local problem error estimator are proposed and rigorously analysed. They are locally equivalent, and both bound the error reliably.
Furthermore three modifications of these estimators are introduced and discussed.
Numerical experiments for all estimators complement and confirm the theoretical results.
weitere Metadaten
| Schlagwörter | error estimator |
| Schlagwörter | H^1 seminorm |
| Schlagwörter | anisotropic mesh |
| Schlagwörter | reaction diffusion equation |
| Schlagwörter | singularly perturbed problem |
| DDC Klassifikation | 510 |
| Institution(en) | |
| Institution | TU Chemnitz |
| Abteilung | SFB 393 |
| Dokumententyp | Preprint |
| Sprache | Englisch |
| Veröffentlichungsdatum (online) | 24.08.2001 |
| persistente URN | urn:nbn:de:bsz:ch1-200100730 |