書誌事項
- タイトル別名
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- Number of non-zero matrix entries in wavelet BEM for steady-state out-of-plane wave propagation problems
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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, <img src="/jstage/pub/jscejam/images/abstractGraphics/mathrsfs_nn.png"/>(G) and <img src="/jstage/pub/jscejam/images/abstractGraphics/mathrsfs_nn.png"/>(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.
収録刊行物
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- 土木学会論文集Ａ２（応用力学）
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土木学会論文集Ａ２（応用力学） 69 (2), I_163-I_173, 2013
公益社団法人 土木学会
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詳細情報 詳細情報について
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- CRID
- 1390282680326398592
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- NII論文ID
- 130004557343
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- NII書誌ID
- AA12373113
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- ISSN
- 21854661
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- HANDLE
- 10191/31907
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- 本文言語コード
- ja
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- データソース種別
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