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Effect of Preconditioning in Edge-Based Finite-Element Method
| Title: | Effect of Preconditioning in Edge-Based Finite-Element Method |
| Authors: | Igarashi, Hajime Browse this author →KAKEN DB | | Yamamoto, Nobito Browse this author |
| Keywords: | A-V method | | diagonal scaling | | edge elements | | finite-element method | | preconditioning |
| Issue Date: | Jun-2008 |
| Publisher: | IEEE |
| Journal Title: | IEEE Transactions on Magnetics |
| Volume: | 44 |
| Issue: | 6 |
| Start Page: | 942 |
| End Page: | 945 |
| Publisher DOI: | 10.1109/TMAG.2007.916272 |
| Abstract: | This paper discusses mathematical properties of preconditioned finite-element matrices based on vector potential formulation (A method) and vector and scalar potential formulation (A-V method) for eddy-current problems. Numerical results show that A-V method with preconditioning is stable at all frequencies in contrast to A method. In this paper, this property is mathematically discussed by considering the diagonal scaling which is one of the simple preconditioning methods. In addition, regularization of A method is discussed. |
| Rights: | © 2008 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/2115/38720 |
| 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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