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Title :Wavelet BEMにおける特異・擬似特異積分の計算
Title alternative :Numerical treatment of singular and nearly singular integrals in wavelet BEM
Authors :阿部, 和久
加藤, 大輔
紅露, 一寛
Publisher :土木学会
Issue Date :Aug-2002
Journal Title :応用力学論文集
Volume :5
Start Page :101
End Page :109
ISSN :1345-9139
Abstract :Application of the wavelet-weighted Gaussian quadrature formula to the singular and nearly singular integrals is attempted in the context of implementation of the wavelet BEM. To achieve this, the singular or nearly singular integrand is decomposed into a singular or nearly singular but simple term and a regular part. The former is integrated analytically and the integral of the latter is calculated by the wavelet-weighted quadrature method. Moreover, in order to avoid the calculation of the Jacobian, the bases such as wavelets are described with respect to the arc length of each subboundary, and then the simplification of analytical integrals is attained. Numerical examples are presented to validate the developed method. It is concluded that the proposed method can shorten the computation time for matrix coefficients by a factor of 3 irrespective of the degrees of freedom.
Keywords :singular and nearly singular integrals
wavelet-weighted quadrature
wavelet BEM
Type Local :学術雑誌論文
Language :jpn
Format :application/pdf
URI :http://hdl.handle.net/10191/24750
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/24750/1/5_101-109.pdf
Relation :https://www.jstage.jst.go.jp/article/journalam1998/5/0/5_0_101/_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/10191/24750