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Why Error Correction Methods Realize Fast Computations

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Title: Why Error Correction Methods Realize Fast Computations
Authors: Igarashi, Hajime Browse this author →KAKEN DB
Watanabe, Yuta Browse this author
Ito, Yasuhisa Browse this author
Keywords: Error correction method
finite element method
multigrid method
quasi-static electromagnetic field
Issue Date: Feb-2012
Publisher: IEEE
Journal Title: IEEE Transactions on Magnetics
Volume: 48
Issue: 2
Start Page: 415
End Page: 418
Publisher DOI: 10.1109/TMAG.2011.2175715
Abstract: In this paper, deflation method, A-phi method, explicit and implicit error correction (EC) methods and time-periodic explicit error correction (TP-EEC) method are shown to be based on the same mathematical principle that the slowly converging errors are effectively eliminated through the EC process while the fast converging errors are reduced by iterative linear solvers. The properties of the TP-EEC are discussed in detail and the EC is shown to work as an error filter. The numerical experiments show that the error reduction in the time-periodic eddy current problem is in good agreement with those predicted by the present theory.
Rights: © 2012 IEEE. Reprinted, with permission, from Igarashi, H., Watanabe, Y., Ito, Y., Why Error Correction Methods Realize Fast Computations, IEEE Transactions on Magnetics, Feb. 2012. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Hokkaido University products or services. Internal or 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 must be obtained from the IEEE by writing to By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
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: 五十嵐 一

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