|
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 >
Deflation Techniques for Computational Electromagnetism: Theoretical Considerations
| Title: | Deflation Techniques for Computational Electromagnetism: Theoretical Considerations |
| Authors: | Igarashi, Hajime Browse this author →KAKEN DB | | Watanabe, Kota Browse this author →KAKEN DB |
| Keywords: | Matrix deflation | | Projection matrix | | Augmented matrix | | Finite element method | | AV method |
| Issue Date: | May-2011 |
| Publisher: | IEEE : Institute of Electrical and Electronics Engineers |
| Journal Title: | IEEE Transactions on Magnetics |
| Volume: | 47 |
| Issue: | 5 |
| Start Page: | 1438 |
| End Page: | 1441 |
| Publisher DOI: | 10.1109/TMAG.2010.2094998 |
| Abstract: | This paper describes deflation of finite element (FE) matrices for electromagnetic fields. The condition of the FE matrices is improved by the matrix deflation which replaces small eigenvalues with zeros. It is known that convergence of linear solvers for FE equations can be improved by using the AV method as well as explicit and implicit error correction (EC) methods which have been derived from the multigrid method. These numerical results are theorized on the basis of the matrix deflation. In particular, augmented matrices appeared in the AV and implicit EC methods are shown to have good conditioning after preconditioning. These results suggest that the above methods are based on a common mathematical principle. |
| Rights: | © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/46102 |
| 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
|
