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Accession number;06A0058497
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| Title;MATRIX-COMPRESSION PROPERTY OF BEYLKIN-TYPE TRUNCATION SCHEME FOR WAVELET BEM |
| Author;
KORO KAZUHIRO
(Graduate School Of Sci. And Technol., Niigata Univ.)
ABE KAZUHISA
(Dep. Of Civil Engineering And Architecture, Niigata Univ.)
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Journal Title;Struct Eng Earthqu Eng
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Journal Code:L4811A
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ISSN:0289-8063
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VOL.22;NO.2;PAGE.219S-231S (J-STAGE)(2005)
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| Figure&Table&Reference;FIG.9, REF.12 |
| Pub. Country;Japan |
| Language;English |
| 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. (Author abst.) |
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