|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Information Science and Technology / Faculty of Information Science and Technology >
Peer-reviewed Journal Articles, etc >
Convergence of preconditioned conjugate gradient method applied to driven microwave problems
| Title: | Convergence of preconditioned conjugate gradient method applied to driven microwave problems |
| Authors: | Igarashi, H. Browse this author →KAKEN DB | | Honma, T. Browse this author |
| Keywords: | condition number | | conjugate gradient (CG) method | | electromagnetic waves | | finite-element method | | preconditioning |
| Issue Date: | May-2003 |
| Publisher: | IEEE |
| Journal Title: | IEEE Transactions on Magnetics |
| Volume: | 39 |
| Issue: | 3 |
| Start Page: | 1705 |
| End Page: | 1708 |
| Publisher DOI: | 10.1109/TMAG.2003.810168 |
| Abstract: | Driven microwave problems can be solved with the finite-element method formulated in terms of the electric field, as well as the vector and scalar potentials. It is known that the latter gives faster convergence of the preconditioned conjugate gradient method than the former. This can be understood from the following facts: namely, the preconditioned finite-element matrix of the former method can contain small negative eigenvalues which make the matrix condition worse. On the other hand, in the latter, such eigenvalues are shown to be composed of zeros and normalized ones. |
| Rights: | © 2003 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/2115/38719 |
| 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)
|
Submitter: 五十嵐 一
|
