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

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/5899

Title: Comparison of geometric and algebraic multigrid methods in edge-based finite-element analysis
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-2005
Publisher: IEEE
Journal Title: IEEE TRANSACTIONS ON MAGNETICS
Volume: 41
Issue: 5
Start Page: 1672
End Page: 1675
Publisher DOI: 10.1109/TMAG.2005.846092
Abstract: 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.
Rights: © 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
Type: article
URI: http://hdl.handle.net/2115/5899
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

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