A QR accelerated volume-to-surface boundary condition for the finite-element solution of eddy-current problems

被引：2
|
作者：
White, Daniel A. [1 ]
Fasenfest, Benjamin J. [1 ]
Rieben, Robert N. [1 ]
Stowell, Mark L. [1 ]
机构：
[1] Lawrence Livermore Natl Lab, Def Sci & Engn Div, Livermore, CA 94551 USA
来源：
IEEE TRANSACTIONS ON MAGNETICS | 2007年 / 43卷 / 05期
关键词：
Biot-Savart law; computational electromagnetics; eddy currents; electromagnetic diffusion; low-rank approximation; Maxwell's equations; parallel processing;
D O I：
10.1109/TMAG.2006.889766
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：
We are concerned with the solution of time-dependent electromagnetic eddy-current problems using a finite-element formulation on three-dimensional unstructured meshes. We allow for multiple conducting regions, and our goal is to develop an efficient computational method that does not require a computational mesh of the air/vacuum regions. This requires a sophisticated global boundary condition specifying the total fields on the conductor boundaries. To meet this requirement, we propose a volume-to-surface boundary condition based on the Biot-Savart law. We found the Biot-Savart approach to be very accurate. In addition, this approach can be accelerated via a low-rank QR approximation of the discretized Biot-Savart law.
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页码：1920 / 1933
页数：14
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