|
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 multigrid method for edge-based finite-element method
| Title: | Convergence of multigrid method for edge-based finite-element method |
| Authors: | Watanabe, K.1 Browse this author →KAKEN DB | | Igarashi, H. Browse this author →KAKEN DB | | Honma, T. Browse this author |
| Authors(alt): | 渡邊, 浩太1 |
| Issue Date: | May-2003 |
| Publisher: | IEEE |
| Journal Title: | IEEE TRANSACTIONS ON MAGNETICS |
| Volume: | 39 |
| Issue: | 3 |
| Start Page: | 1674 |
| End Page: | 1676 |
| Publisher DOI: | 10.1109/TMAG.2003.810356 |
| Abstract: | This paper discusses robustness of the multigrid (MG) method against distortion of finite elements. The convergence of MG method becomes considerably worse as the finite elements become flat. It is shown that the smoother used in the MG method cannot effectively eliminate the high-frequency component of the residue for flat elements, and this gives rise to deterioration in the convergence. Moreover, the multigrid method with conjugate gradient (CG) smoother is shown to be more robust against mesh distortion than that with Gauss-Seidel smoother. |
| 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.”
IEEE, IEEE TRANSACTIONS ON MAGNETICS, Volume 39, Issue 3, 2003 Page(s):1674 - 1676 |
| Type: | article |
| URI: | http://hdl.handle.net/2115/5898 |
| 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: 渡邊 浩太
|
