@article{oai:niigata-u.repo.nii.ac.jp:00003544,
author = {紅露, 一寛 and 阿部, 和久},
issue = {2},
journal = {土木学会論文集A2（応用力学）, 土木学会論文集A2（応用力学）},
month = {Aug},
note = {In the time-domain BEM with Haar wavelets for 2-D diffusion problems, the relation between the number of non-zero entries of the coefficient matrices and the degree of freedom (DOF) N is theoretically investigated using the information on the size and the arrangement of the support of the basis functions. The coefficient matrices are compressed using the Beylkin-type level-independent truncation scheme with a DOF-independent prescribed threshold value. The number of non-zero entries of the matrix G(L,p) and H(L,p) (1 ≤ p ≤ L, L: current time step), N(G(L,p)) and N(H(L,p)), increases in proportion to the factors log N, N1/2, N and N log N, except for the behavior in the smaller DOF range where N(G(L,p)) and N(H(L,p))∼O(N2). For M»1 and N»1, N(G(L,p)) and N(H(L,p)) show O(N log N) in matrix compression with a prescribed threshold value λ.},
pages = {I_95--I_106},
title = {Haar waveletを用いた2次元拡散問題時間域境界要素法における係数行列保存成分数の解析自由度依存性},
volume = {67},
year = {2011}
}