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An Improvement of Convergence in Finite Element Analysis With Infinite Element Using Deflation
| Title: | An Improvement of Convergence in Finite Element Analysis With Infinite Element Using Deflation |
| Authors: | Ito, Hiroki Browse this author | | Watanabe, Kota Browse this author →KAKEN DB | | Igarashi, Hajime Browse this author →KAKEN DB |
| Keywords: | Deflation | | electromagnetic field analysis | | finite element method | | infinite element |
| Issue Date: | Feb-2012 |
| Publisher: | IEEE |
| Journal Title: | IEEE Transactions on Magnetics |
| Volume: | 48 |
| Issue: | 2 |
| Start Page: | 667 |
| End Page: | 670 |
| Publisher DOI: | 10.1109/TMAG.2011.2173468 |
| Abstract: | This paper presents a deflation technique to improve the convergence of finite element (FE) analyses with infinite elements. In FE analyses of electromagnetic fields, large air regions must be discretized into FE meshes. This leads to increases in computational time. The infinite element in which electromagnetic fields in air region are accurately expressed has been introduced in order to solve this problem. However, when using the infinite element, convergence of iterative liner solvers deteriorates because the condition number of FE matrices becomes large. In this paper, a deflation technique to improve convergence of iterative solvers is introduced. Numerical examples show that the proposed technique can improve convergence characteristics in a magnetostatic analysis with finite and infinite elements. |
| Rights: | © 2012 IEEE. Reprinted, with permission, from Ito, H., Watanabe, K., Igarashi, H., An Improvement of Convergence in Finite Element Analysis With Infinite Element Using Deflation, IEEE Transactions on Magnetics, Feb. 2012. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Hokkaido University products or services. Internal or 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 must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/48388 |
| 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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