Estimating the eddy-current modeling error

被引：30

作者：

Schmidt, Kersten ^{[1
]}

Sterz, Oliver ^{[2
]}

Hiptmair, Ralf ^{[1
]}

机构：

[1] ETH, CH-8092 Zurich, Switzerland

[2] CST GmbH, D-64289 Darmstadt, Germany

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2008年 / 44卷 / 06期

关键词：

eddy current model; hp-FEM; magnetoquasistatic model; modeling error;

D O I：

10.1109/TMAG.2008.915834

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：686 / 689

页数：4

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