Number of non-zero matrix entries in wavelet BEM for steady-state out-of-plane wave propagation problems
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- KORO Kazuhiro
- 新潟大学 大学院自然科学研究科
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- ABE Kazuhisa
- 新潟大学 工学部建設学科
Bibliographic Information
- Other Title
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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
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Abstract
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.
Journal
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- Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))
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Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 69 (2), I_163-I_173, 2013
Japan Society of Civil Engineers
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Details 詳細情報について
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- CRID
- 1390282680326398592
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- NII Article ID
- 130004557343
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- NII Book ID
- AA12373113
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- ISSN
- 21854661
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- HANDLE
- 10191/31907
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- Text Lang
- ja
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- Data Source
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- JaLC
- IRDB
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed