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Title :Wavelet BEMのためのマルチグリッド反復法
Title alternative :Multigrid Methods for Wavelet BEM
Authors :阿部, 和久
林, 志保
紅露, 一寛
Publisher :土木学会
Issue Date :Aug-2000
Journal Title :応用力学論文集
Volume :3
Start Page :157
End Page :166
ISSN :1345-9139
Abstract :Multigrid algorithm is developed for wavelet BEM. Since the wavelet bases have hierarchical structure, in the wavelet BEM using the wavelet bases as its functional bases, coefficient matrix and vectors include submatrix and subvector corresponding to each resolution level. Hence, one can readily apply the multigrid method to wavelet BEM. In this paper, V-, Sawtooth-, and FMV-cycles are considered. Numerical experiments show that these methods improve the convergence of iterative solution. As the iterative methods, Jacobi, Bi-CG, and GMRES methods are employed. It is found that the multigrid method can be an effective strategy for enhancement of convergence and stability of these iterative methods.
Keywords :wavelet BEM
multigrid method
iterative method
Type Local :学術雑誌論文
Language :jpn
Format :application/pdf
URI :http://hdl.handle.net/10191/24751
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/24751/1/3_157-166.pdf
Relation :https://www.jstage.jst.go.jp/article/journalam1998/3/0/3_0_157/_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J-Stage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/10191/24751