Comparison of geometric and algebraic multigrid methods in edge-based finite-element analysis

Watanabe, K.; Igarashi, H.; Honma, T.

IEEE TRANSACTIONS ON MAGNETICS, 2005, 41(5), 1672-1675

Permalink : https://hdl.handle.net/2115/5899

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アクセス権
open access
URI
https://hdl.handle.net/2115/5899
タイトル
Comparison of geometric and algebraic multigrid methods in edge-based finite-element analysis
著者
Watanabe, K. ; Igarashi, H. ; Honma, T.
e-Rad_Researcher
20322828
著者名
Watanabe, K.
渡邊, 浩太
e-Rad_Researcher
90212737
著者名
Igarashi, H.
著者名
Honma, T.
言語
英語
発行日
2005-05
出版者
IEEE
収録物名
IEEE TRANSACTIONS ON MAGNETICS
巻(号)
41(5)
ページ
1672-1675
抄録
This paper discusses the comparison between the geometric multigrid (GMG) method and the algebraic multigrid (AMG) method in edge-based finite-element (FE) analysis. The GMG method requires the hierarchical meshes. On the other hand, the AMG method requires the only a single mesh information. The system matrices of the coarse grids are generated using algebraic operation in AMG. The numerical results show that both multigrid methods are faster than the conventional solvers in large-scale analysis. Although multigrid methods require the setup procedures, the calculation time of these procedures is comparatively short and increase linearly with the number of unknowns.
資源タイプ
学術雑誌論文
出版タイプ
Version of Record
権利情報
© 2005 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, Magnetics, IEEE Transactions on Volume 41, Issue 5, 2005 Page(s):1672 - 1675
PISSN
0018-9464
関連情報 (isIdenticalTo)
出版社版DOI
https://doi.org/10.1109/TMAG.2005.846092