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Title :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
Title alternative :Number of non-zero matrix entries in wavelet BEM for steady-state out-of-plane wave propagation problems
Authors :紅露, 一寛
阿部, 和久
Publisher :土木学会
Issue Date :Aug-2013
Journal Title :土木学会論文集A2(応用力学)
Volume :69
Issue :2
Start Page :I_163
End Page :I_173
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, (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.
Keywords :steady-state out-of plane wave equation
wavelet BEM
non-orthogonal wavelet
Type Local :学術雑誌論文
Language :jpn
Format :application/pdf
URI :http://hdl.handle.net/10191/31907
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/31907/1/69_2_163-173.pdf
DOI :info:doi/10.2208/jscejam.69.I_163
Relation :https://www.jstage.jst.go.jp/article/jscejam/69/2/69_I_163/_pdf
Rights :Copyright(C)2013 公益社団法人土木学会
Appears in Collections:10 査読済論文 = Postprint

Please use this identifier to cite or link to this item: http://hdl.handle.net/10191/31907