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Multigrid Method With Adaptive IDR-Based Jacobi Smoother

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Title: Multigrid Method With Adaptive IDR-Based Jacobi Smoother
Authors: Watanabe, Kota Browse this author →KAKEN DB
Fujino, Seiji Browse this author
Igarashi, Hajime Browse this author →KAKEN DB
Keywords: Finite element method
induced dimension reduction method
multigrid method
parallel computation
Issue Date: May-2011
Publisher: IEEE : Institute of Electrical and Electronics Engineers
Journal Title: IEEE Transactions on Magnetics
Volume: 47
Issue: 5
Start Page: 1210
End Page: 1213
Publisher DOI: 10.1109/TMAG.2010.2092754
Abstract: Multigrid (MG) methods are known to be fast linear solvers for large-scale finite element analyses. The Gauss-Seidel method is usually adopted as the smoother for MG methods. However, recently, considerable attention has been focused on Induced Dimension Reduction (IDR)-based solvers because they are faster. In this paper, we investigate the convergence of IDR-based solvers and evaluate the performance of a MG method with an adaptive IDR-based Jacobi smoother. Numerical results show that this method has good convergence and good efficiency in parallel computations for finite element analysis of electromagnetic fields.
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)
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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