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Estimating the eddy-current modelling error

Schmidt, Kersten and Sterz, Oliver and Hiptmair, Ralf (2008):
Estimating the eddy-current modelling error.
In: IEEE Trans. Magn., pp. 686-689, 44, (6), DOI: 10.1109/TMAG.2008.915834, [Article]

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.

Item Type: Article
Erschienen: 2008
Creators: Schmidt, Kersten and Sterz, Oliver and Hiptmair, Ralf
Title: Estimating the eddy-current modelling error
Language: English
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.

Journal or Publication Title: IEEE Trans. Magn.
Volume: 44
Number: 6
Divisions: 04 Department of Mathematics
04 Department of Mathematics > Numerical Analysis and Scientific Computing
Date Deposited: 19 Nov 2018 21:58
DOI: 10.1109/TMAG.2008.915834
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