Schmidt, Kersten ; Sterz, Oliver ; Hiptmair, Ralf (2008)
Estimating the eddy-current modelling error.
In: IEEE Trans. Magn., 44 (6)
doi: 10.1109/TMAG.2008.915834
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
The eddy-current model is an approximation of the full Maxwell equations. We will give estimates for the modeling error and show how the constants in the estimates are influenced by the geometry of the problem. Additionally, we analyze the asymptotic behavior of the modeling error when the angular frequency tends to zero. The theoretical results are complemented by numerical examples using high order finite elements. These demonstrate that the estimates are sharp. Hence, this work delivers a mathematical basis for assessing the scope of the eddy-current model.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2008 |
| Autor(en): | Schmidt, Kersten ; Sterz, Oliver ; Hiptmair, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | Estimating the eddy-current modelling error |
| Sprache: | Englisch |
| Publikationsjahr: | Juni 2008 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | IEEE Trans. Magn. |
| Jahrgang/Volume einer Zeitschrift: | 44 |
| (Heft-)Nummer: | 6 |
| DOI: | 10.1109/TMAG.2008.915834 |
| Kurzbeschreibung (Abstract): | The eddy-current model is an approximation of the full Maxwell equations. We will give estimates for the modeling error and show how the constants in the estimates are influenced by the geometry of the problem. Additionally, we analyze the asymptotic behavior of the modeling error when the angular frequency tends to zero. The theoretical results are complemented by numerical examples using high order finite elements. These demonstrate that the estimates are sharp. Hence, this work delivers a mathematical basis for assessing the scope of the eddy-current model. |
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen |
| Hinterlegungsdatum: | 19 Nov 2018 21:58 |
| Letzte Änderung: | 19 Nov 2018 21:58 |
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