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Title :離散wavelet変換による選点法境界要素解析の効率化
Title alternative :Application of discrete wavelet transform to wavelet collocation BEM
Authors :紅露, 一寛
阿部, 和久
田崎, 浩章
Publisher :土木学会
Issue Date :Aug-1999
Journal Title :応用力学論文集
Volume :2
Start Page :153
End Page :162
ISSN :1345-9139
Abstract :Wavelets are employed in the boundary element analysis. A wavelet BEM provides a sparse coefficient matrix by truncating a small value in the matrix entries based on a specifiedthreshold. In discretization process, the collocation method requires the wavelets as bases of anapproximate solution, while the Galerkin method requires wavelets not only as bases of numerical solutionbut as weighting functions. The wavelet BEM is usually derived by the Galerkin method because of high sparsity and good condition of the matrix. However the Galerkin method requires double integration on the boundary. Therefore, in conventional BEMs, the discretized equations are derived based on the collocation method. In this study, improvement of the wavelet collocation BEM is attempted by applying the discrete wavelet transform to the system matrix. Through numerical examples, comparison of performance of the proposed method with the collocation and Galerkin methods is carried out and the validity of the method is investigated.
Keywords :boundary element method
Haar wavelet
discrete wavelet transform
Type Local :学術雑誌論文
Language :jpn
Format :application/pdf
URI :http://hdl.handle.net/10191/24752
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/24752/1/2_153-162.pdf
Relation :https://www.jstage.jst.go.jp/article/journalam1998/2/0/2_0_153/_pdf
Rights :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/10191/24752