A wideband fast multipole boundary element method for half-space/plane-symmetric acoustic wave problems
A wideband fast multipole boundary element method for half-space/plane-symmetric acoustic wave problems
复制标题
半空间/平面对称声波问题的宽带快速多极边界元法
DOI：
10.1007/s10409-013-0023-4
复制
发表时间：
2013-04
影响因子：
3.5
通讯作者：
Chen, Lei-Lei
中科院分区：
文献类型：
--
作者：
Zheng, Chang-Jun;Chen, Hai-Bo;Chen, Lei-Lei
This paper presents a novel wideband fast multipole boundary element approach to 3D half-space/plane-symmetric acoustic wave problems. The half-space fundamental solution is employed in the boundary integral equations so that the tree structure required in the fast multipole algorithm is constructed for the boundary elements in the real domain only. Moreover, a set of symmetric relations between the multipole expansion coefficients of the real and image domains are derived, and the half-space fundamental solution is modified for the purpose of applying such relations to avoid calculating, translating and saving the multipole/local expansion coefficients of the image domain. The wideband adaptive multilevel fast multipole algorithm associated with the iterative solver GMRES is employed so that the present method is accurate and efficient for both lowand high-frequency acoustic wave problems. As for exterior acoustic problems, the Burton-Miller method is adopted to tackle the fictitious eigenfrequency problem involved in the conventional boundary integral equation method. Details on the implementation of the present method are described, and numerical examples are given to demonstrate its accuracy and efficiency.
登录
查看更多内容
使用快速多极边界元法进行 3D 声学形状灵敏度分析
影响因子：
1.7
作者：
Zheng, C. J.;Chen, H. B.;Matsumoto, T.;Takahashi, T.
通讯作者：
Takahashi, T.
影响因子：
2.4
作者：
Gumerov, Nail A.;Duraiswami, Ramani
通讯作者：
Duraiswami, Ramani
影响因子：
2.1
作者：
M. Bebendorf
通讯作者：
M. Bebendorf
DOI：
10.1299/kikaic.76.2899
发表时间：
2010-11
期刊：
Transactions of the Japan Society of Mechanical Engineers. C
影响因子：
--
作者：
C. Zheng;Toshirou Matsumoto;Toru Takahashi;Haibo Chen
通讯作者：
C. Zheng;Toshirou Matsumoto;Toru Takahashi;Haibo Chen
影响因子：
5.7
作者：
Li Jun Jiang;Weng Cho Chew
通讯作者：
Li Jun Jiang;Weng Cho Chew