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A practical determination strategy of optimal threshold parameter for matrix compression in wavelet BEM
http://hdl.handle.net/10191/4887
http://hdl.handle.net/10191/488721240f82-c982-4609-b84d-9a686929a5e5
名前 / ファイル | ライセンス | アクション |
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ijnme.pdf (402.8 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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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× Abe, Kazuhisa |
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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 |
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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 |