Gerd Kunert
A note on the energy norm for a singularly perturbed model problem
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Bitte nutzen Sie beim Zitieren immer folgende Url:
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200100062
Kurzfassung in Englisch
A singularly perturbed reaction-diffusion model problem is considered, and the choice of an appropriate norm is discussed. Particular emphasis is given to the energy norm. Certain prejudices against this norm are investigated and disproved. Moreover, an adaptive finite element algorithm is presented which exhibits an optimal error decrease in the energy norm in some simple numerical experiments. This underlines the suitability of the energy norm.
weitere Metadaten
| Schlagwörter | singularly perturbed problem |
| Schlagwörter | reaction diffusion equation |
| Schlagwörter | adaptive algorithm |
| Schlagwörter | error estimator |
| DDC Klassifikation | 510 |
| Institution(en) | |
| Institution | TU Chemnitz |
| Abteilung | SFB 393 |
| Dokumententyp | Preprint |
| Sprache | Englisch |
| Veröffentlichungsdatum (online) | 16.01.2001 |
| persistente URN | urn:nbn:de:bsz:ch1-200100062 |