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On convergence of ICCG applied to finite-element equation for quasi-static fields

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Title: On convergence of ICCG applied to finite-element equation for quasi-static fields
Authors: Igarashi, H. Browse this author →KAKEN DB
Honma, T. Browse this author
Keywords: eddy current
edge element
finite-element method
ICCG
singular value
Issue Date: Mar-2002
Publisher: IEEE
Journal Title: IEEE Transactions on Magnetics
Volume: 38
Issue: 2
Start Page: 565
End Page: 568
Publisher DOI: 10.1109/20.996148
Abstract: This paper discusses convergence of the incomplete Cholesky conjugate gradient method (ICCG) which solves edge-based finite-element equations for quasi-static electromagnetic fields. It has been observed in numerical computations that convergence of ICCG for the A-V method is faster than that for the A method. This phenomenon is found to be explained by the fact that, in the A-V method, the preconditioning eliminates the small singular values which deteriorate the condition number while they remain after the preconditioning in the case of the A method.
Rights: © 2002 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.
Type: article
URI: http://hdl.handle.net/2115/38718
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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