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Title :2次元スカラー波動方程式のための非直交スプライン waveletを用いた時間域境界要素法
Title alternative :Time-Domain Boundary Element Method Using Non-orthogonal Spline Wavelets for 2-D Scalar Wave Equation
Authors :紅露, 一寛
菅波, 祐太
古川, 陽
阿部, 和久
Publisher :土木学会
Issue Date :Aug-2010
Journal Title :応用力学論文集
Volume :13
Start Page :241
End Page :252
ISSN :1345-9139
Abstract :The time-domain boundary element method using the non-orthogonal spline wavelets is developed for reducing the computational cost of the BE wave propagation analysis. The non-orthogonal spline wavelets are used for the discretization of the boundary integral equation. The time variation of the unknown potential and flux is approximated using the conventional scheme. The small matrix entries of the coefficient matrix are truncated with the Beylkin-type matrix compression scheme at before and after calculation of double boundary integral. The present BE analysis method has the numerical instability on the prescribed time step width which is observed in the conventional point-collocation time-domain BE analysis. This instability is considerable for the wavelet with the higher-order vanishing moments. The sparsity of the coefficient matrix generated at an each time step rises as the time step proceeds; the memory requirement of the present method can be reduced in comparison with the conventional BEM. The reduction of the computational work from the conventional BE analysis is difficult because of the sparse system of the conventional time-domain BEM.
Keywords :2D scalar wave equation
time-domain BEM
non-orthogonal spline wavelet
Type Local :学術雑誌論文
Language :jpn
Format :application/pdf
URI :http://hdl.handle.net/10191/24744
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/24744/1/13_241-252.pdf
Relation :http://library.jsce.or.jp/jsce/open/00561/2010/13-0241.pdf
Rights :公益社団法人土木学会
本文データは学協会の許諾に基づき土木学会のホームページから複製したものである
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/10191/24744