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  1. 0 資料タイプ別
  2. 01 学術雑誌論文
  1. 230 大学院自然科学研究科
  2. 10 学術雑誌論文
  3. 10 査読済論文

A practical determination strategy of optimal threshold parameter for matrix compression in wavelet BEM

http://hdl.handle.net/10191/4887
http://hdl.handle.net/10191/4887
21240f82-c982-4609-b84d-9a686929a5e5
名前 / ファイル ライセンス アクション
ijnme.pdf ijnme.pdf (402.8 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2007-06-21
タイトル
タイトル A practical determination strategy of optimal threshold parameter for matrix compression in wavelet BEM
タイトル
言語 en
タイトル A practical determination strategy of optimal threshold parameter for matrix compression in wavelet BEM
言語
言語 eng
キーワード
主題Scheme Other
主題 wavelet BEM
キーワード
主題Scheme Other
主題 truncation
キーワード
主題Scheme Other
主題 optimal threshold parameter
キーワード
主題Scheme Other
主題 non-orthogonal spline wavelet
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ journal article
著者 Koro, Kazuhiro

× Koro, Kazuhiro

WEKO 6390

Koro, Kazuhiro

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Abe, Kazuhisa

× Abe, Kazuhisa

WEKO 6391

Abe, Kazuhisa

Search repository
著者別名
識別子 6392
識別子Scheme WEKO
姓名 紅露, 一寛
著者別名
識別子 6393
識別子Scheme WEKO
姓名 阿部, 和久
抄録
内容記述タイプ Abstract
内容記述 A practical strategy is developed to determine the optimal threshold parameter for waveletbased BE analysis. The optimal parameter is determined so that the amount of storage (and computational work) is minimized without reducing the accuracy of BE solution. In the present study, the Beylkin-type truncation scheme is used in the matrix assembly. To avoid unnecessary integration concerning the truncated entries of a coefficient matrix, apriori estimation of the matrix entries is introduced and thus the truncated entries are determined twice: before and after matrix assembly. The optimal threshold parameter is set based on the equilibrium of the truncation and discretization errors. These errors are estimated in the residual sense. For Laplace problems the discretization error is in particular, indicated with the potential's contribution kck to the residual norm kRk used in error estimation for mesh adaptation. Since the normalized residual norm kck/kuk (u: the potential components of BE solution) cannot be computed without main BE analysis, the discretization error is estimated by the approximate expression constructed through subsidiary BE calculation with smaller degree of freedom (DOF). The matrix compression using the proposed optimal threshold parameter enables us to generate a sparse matrix with O(N1+γ) (0 ? γ < 1) non-zero entries. Although the quasi-optimal memory requirements and complexity are not attained, the compression rate of a few percent can be achieved for N ? 1, 000.
書誌情報 International Journal for Numerical Methods in Engineering
en : International Journal for Numerical Methods in Engineering

巻 57, 号 2, p. 169-191, 発行日 2003-05
出版者
出版者 John Wiley & Sons Ltd.
ISSN
収録物識別子タイプ ISSN
収録物識別子 00295981
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AA0068067X
DOI
識別子タイプ DOI
関連識別子 info:doi/10.1002/nme.666
著者版フラグ
値 author
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