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Convergence of multigrid method for edge-based finite-element method

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タイトル: Convergence of multigrid method for edge-based finite-element method
著者: Watanabe, K. 著作を一覧する
Igarashi, H. 著作を一覧する
Honma, T. 著作を一覧する
発行日: 2003年 5月
出版者: IEEE
巻: 39
号: 3
開始ページ: 1674
終了ページ: 1676
出版社 DOI: 10.1109/TMAG.2003.810356
抄録: This paper discusses robustness of the multigrid (MG) method against distortion of finite elements. The convergence of MG method becomes considerably worse as the finite elements become flat. It is shown that the smoother used in the MG method cannot effectively eliminate the high-frequency component of the residue for flat elements, and this gives rise to deterioration in the convergence. Moreover, the multigrid method with conjugate gradient (CG) smoother is shown to be more robust against mesh distortion than that with Gauss-Seidel smoother.
Rights: © 2003 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, IEEE TRANSACTIONS ON MAGNETICS, Volume 39, Issue 3, 2003 Page(s):1674 - 1676
資料タイプ: article
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 渡邊 浩太


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