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Title :Matrix-compression property of Beylkin-type truncation scheme for wavelet BEM
Authors :Koro, Kazuhiro
Abe, Kazuhisa
Publisher :土木学会
Issue Date :Oct-2005
Journal Title :Structural Engineering / Earthquake Engineering
Volume :22
Issue :2
Start Page :219s
End Page :231s
ISSN :0289-8063
Abstract :In the present paper, we investigate theoretically and experimentally the number of non-zero matrix entries generated by the wavelet BEM with the Beylkin-type compression algorithm. The Beylkin-type algorithm, which is based on a prescribed level-independent threshold, retains the asymptotic convergence rate of BE solutions, like widely-used level-independent compression schemes. The coecient matrix compressed by the Beylkin-type scheme has O(N'1+.GAMMA.') (0 <.GAMMA.< 1, N: degree of freedom (DOF)) non-zero entries; level-dependent schemes enable us to reduce the matrix entries up to O(N(logN)'.ALPHA.') (.ALPHA..GEQ.1). However, for matrix compression using the Beylkin-type scheme the compression rate is greater than or comparable to that of the Schneider's level-dependent scheme, in the moderate DOF range.
Keywords :wavelet BEM
matrix compression scheme
large-scale problems
Type Local :学術雑誌論文
Language :eng
Format :application/pdf
URI :http://hdl.handle.net/10191/24755
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/24755/1/22_2_219s-231s.pdf
Relation :https://www.jstage.jst.go.jp/article/jsceseee/22/2/22_2_219s/_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/10191/24755