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面外定常波動問題における非直交waveletを用いた境界要素法の係数行列保存成分数
http://hdl.handle.net/10191/31907
a79dbbb1-2fcb-4320-b1c5-c3bd1e79b8d4
名前 / ファイル | ライセンス | アクション | |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2015-03-23 | |||||
タイトル | ||||||
タイトル | 面外定常波動問題における非直交waveletを用いた境界要素法の係数行列保存成分数 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | 面外定常波動問題における非直交waveletを用いた境界要素法の係数行列保存成分数 | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | steady-state out-of plane wave equation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | wavelet BEM | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | non-orthogonal wavelet | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
その他のタイトル | ||||||
その他のタイトル | Number of non-zero matrix entries in wavelet BEM for steady-state out-of-plane wave propagation problems | |||||
著者 |
紅露, 一寛
× 紅露, 一寛× 阿部, 和久 |
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著者別名 | ||||||
識別子 | ||||||
識別子 | 43524 | |||||
識別子Scheme | WEKO | |||||
姓名 | ||||||
姓名 | Koro, Kazuhiro | |||||
著者別名 | ||||||
識別子 | ||||||
識別子 | 43525 | |||||
識別子Scheme | WEKO | |||||
姓名 | ||||||
姓名 | Abe, Kazuhisa | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In the BEM with the non-orthogonal spline wavelets for steady-state out-of-plane wave propagation problems, the relation between the number of non-zero entries of the coefficient matrices and the degree of freedom (DOF) N is theoretically investigated using the information on the size and the arrangement of the support of the basis functions. The coefficient matrices are compressed by truncation with a prescribed threshold value κ. The value of κ is determined so that the amount of storage is minimized without reducing the accuracy of BE solution, and shows κ ≈ ρN−β (ρ, β > 0). The number of non-zero entries of the matrices G and H, (G) and (H) increases in proportion to O(N log N) or O(N1+γ) (0 < γ < 1). The low compression rate of the coefficient matrix for a high-frequency problem can be improved using the wavelets with a higher-order vanishing momemt property. | |||||
書誌情報 |
土木学会論文集A2(応用力学) en : 土木学会論文集A2(応用力学) 巻 69, 号 2, p. I_163-I_173, 発行日 2013-08 |
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出版者 | ||||||
出版者 | 土木学会 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA12373113 | |||||
DOI | ||||||
関連識別子 | ||||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.2208/jscejam.69.I_163 | |||||
権利 | ||||||
権利情報 | Copyright(C)2013 公益社団法人土木学会 | |||||
権利 | ||||||
権利情報 | 本文データは学協会の許諾に基づきJ-Stageから複製したものである | |||||
著者版フラグ | ||||||
値 | publisher | |||||
異版である | ||||||
関連タイプ | isVersionOf | |||||
関連識別子 | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.jstage.jst.go.jp/article/jscejam/69/2/69_I_163/_pdf |