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Complex Adjoint Variable Method for Finite-Element Analysis of Eddy Current Problems
| Title: | Complex Adjoint Variable Method for Finite-Element Analysis of Eddy Current Problems |
| Authors: | Igarashi, Hajime Browse this author →KAKEN DB | | Watanabe, Kota Browse this author →KAKEN DB |
| Keywords: | Adjoint variable method | | finite-element method (FEM) | | fixed point method | | harmonic balance | | sensitivity analysis |
| Issue Date: | Aug-2010 |
| Publisher: | IEEE: Institute of Electrical and Electronics Engineers |
| Journal Title: | IEEE Transactions on Magnetics |
| Volume: | 46 |
| Issue: | 8 |
| Start Page: | 2739 |
| End Page: | 2742 |
| Publisher DOI: | 10.1109/TMAG.2010.2043936 |
| Abstract: | This paper presents the adjoint variable method (AVM) for finite-element (FE) analysis of eddy current problems based on complex variables. In the sensitivity analysis based on FE analysis of time-harmonic eddy current fields, the functions for which sensitivity is evaluated are often real-valued, while unknown variables in the FE analysis are complex. When the AVM is applied to such problems, the real-valued functions are differentiated with respect to the complex variables. However, such differentiation cannot be defined because the Cauchy-Riemann equation does not hold. In this paper, the AVM for complex systems is introduced and applied to linear and nonlinear eddy current problems, in the latter of which the harmonic balance method is employed. |
| Rights: | © 2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/45008 |
| Appears in Collections: | 情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 五十嵐 一
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