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Estimating the eddy-current modelling error

Schmidt, Kersten ; Sterz, Oliver ; Hiptmair, Ralf :
Estimating the eddy-current modelling error.
In: IEEE Trans. Magn., 44 (6) S. 686-689.
[Artikel] , (2008)

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
Titel: Estimating the eddy-current modelling error
Sprache: Englisch
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.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: IEEE Trans. Magn.
Band: 44
(Heft-)Nummer: 6
Fachbereich(e)/-gebiet(e): 04 Fachbereich Mathematik
04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen
Hinterlegungsdatum: 19 Nov 2018 21:58
DOI: 10.1109/TMAG.2008.915834
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