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On the property of the curl-curl matrix in finite element analysis with edge elements
| Title: | On the property of the curl-curl matrix in finite element analysis with edge elements |
| Authors: | Igarashi, H. Browse this author →KAKEN DB |
| Keywords: | edge elements | | finite element method | | graph theory | | ICCG | | magnetostatic fields | | network theory |
| Issue Date: | Sep-2001 |
| Publisher: | IEEE |
| Journal Title: | IEEE Transactions on Magnetics |
| Volume: | 37 |
| Issue: | 5 |
| Start Page: | 3129 |
| End Page: | 3132 |
| Publisher DOI: | 10.1109/20.952559 |
| Abstract: | This paper discusses properties of the curl-curl matrix in the finite element formulation with edge elements. Moreover the observed deceleration in convergence of the CG and ICCG methods applied to magnetostatic problems through the tree-cotree gauging is explained on the basis of the eigenvalue separation property. From the eigenvalue separation property it follows that neither minimum nonzero eigenvalue of the curl-curl matrix nor maximum one increase through the tree-cotree gauging. Hence it is concluded that the condition number of the curl-curl matrix tends to grow by its definition. Moreover the maximum eigenvalue tends to keep constant whereas the minimum nonzero eigenvalue reduces. This property also makes the condition number worse. |
| Rights: | © 2001 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/2115/38717 |
| 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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