@article{oai:niigata-u.repo.nii.ac.jp:00002599, author = {Koro, Kazuhiro and Abe, Kazuhisa}, issue = {2}, journal = {Structural Engineering / Earthquake Engineering}, month = {Oct}, note = {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.}, pages = {219s--231s}, title = {Matrix-compression property of Beylkin-type truncation scheme for wavelet BEM}, volume = {22}, year = {2005} }