@article{oai:niigata-u.repo.nii.ac.jp:00002832,
author = {紅露, 一寛 and 菅波, 祐太 and 古川, 陽 and 阿部, 和久},
journal = {応用力学論文集, 応用力学論文集},
month = {Aug},
note = {The time-domain boundary element method using the non-orthogonal spline wavelets is developed for reducing the computational cost of the BE wave propagation analysis. The non-orthogonal spline wavelets are used for the discretization of the boundary integral equation. The time variation of the unknown potential and flux is approximated using the conventional scheme. The small matrix entries of the coefficient matrix are truncated with the Beylkin-type matrix compression scheme at before and after calculation of double boundary integral. The present BE analysis method has the numerical instability on the prescribed time step width which is observed in the conventional point-collocation time-domain BE analysis. This instability is considerable for the wavelet with the higher-order vanishing moments. The sparsity of the coefficient matrix generated at an each time step rises as the time step proceeds; the memory requirement of the present method can be reduced in comparison with the conventional BEM. The reduction of the computational work from the conventional BE analysis is difficult because of the sparse system of the conventional time-domain BEM.},
pages = {241--252},
title = {2次元スカラー波動方程式のための非直交スプライン waveletを用いた時間域境界要素法},
volume = {13},
year = {2010}
}