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Title :Wavelet 基底を用いた境界要素解析の効率化のためのwavelet 重み付き Gauss 積分公式
Title alternative :Wavelet-weighted Gauss quadrature formula for reduction of computational work in wavelet BEM
Authors :紅露, 一寛
阿部, 和久
平林, 秀之
Publisher :土木学会
Issue Date :Aug-2001
Journal Title :応用力学論文集
Volume :4
Start Page :127
End Page :136
ISSN :1345-9139
Description :A wavelet-weighted Gauss quadrature formula is developed to reduce computational work in wavelet BEM. The non-orthogonal wavelet constructed by the authors is used as the basis. This wavelet is defined as a spline, which requires us to divide an interval into several subintervals in calculation of integrals corresponding to the basis. Besides, the number of the subintervals increases in propotion to the order of vanishing moments. The computational work for generating matrices thus is expensive, in particular, in application of numerical integration. The present formula enables us to carry out numerical integrations without division of the interval, since the wavelet is also employed as a weighting function of the formula. The number of integration points is determined a priori based on estimation of the integration error and a prescribed accuracy. In wavelet BEM, the error tolerance can be given by a threshold for matrix compression. Through numerical experiments, availability of the present method is verified.
Keywords :wavelet BEM
non-orthogonal spline wavelet
weighted Gauss quadrature formula
numerical integration
Type Local :学術雑誌論文
Language :jpn
URI :http://hdl.handle.net/10191/4880
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/4880/1/jsceam2001.pdf
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/10191/4880