The numerical solution of the acoustic wave scattering from penetrable obstacles by a least-squares method |
| |
Institution: | 1. Department of Neurology, West China Hospital, Sichuan University, Chengdu, Sichuan, People''s Republic of China;2. Huaxi MR Research Center, Department of Radiology, West China Hospital, Sichuan University, Chengdu, Sichuan, People''s Republic of China |
| |
Abstract: | This paper documents a numerical method for a two dimensional time-harmonic wave scattering problem by penetrable obstacles. The Fourier–Bessel function combining a multipole expansion is used to give an approximation of the scattering field. This method is based on the least-squares technique. Especially, we find a simple function to control the errors, and then give the theoretical results of the presented method. The continuity across the element boundaries is enforced by minimizing a simple quadratic functional. This method does not need to truncate the domain and could obtain high accuracy by increasing the number of basis functions with even coarse mesh. At last, we give some examples to illustrate the effectiveness of the approach including the solution domain being multiple or even multi-connected. |
| |
Keywords: | Penetrable obstacle scattering Least-squares technique Fourier–Bessel function Multipole expansion |
本文献已被 ScienceDirect 等数据库收录! |
|