Locating Multiple Multipolar Acoustic Sources Using the Direct Sampling Method
Locating Multiple Multipolar Acoustic Sources Using the Direct Sampling Method
复制标题
使用直接采样方法定位多个多极声源
DOI：
10.4208/cicp.oa-2018-0020
复制
发表时间：
2019
影响因子：
3.7
通讯作者：
Liu Hongyu
中科院分区：
文献类型：
--
作者：
Zhang Deyue;Guo Yukun;Li Jingzhi;Liu Hongyu
这项工作是关于Helmholtz方程从边界测量中定位多个多极源的逆源问题。我们开发了简单而有效的采样方案，用于单一波数震源的位置获取。我们的算法基于一些新的指示函数，它们的指示行为可以用来定位多个多极源。从只涉及简单的积分计算来评估指标函数的意义上来说，这些反演方案完全是“直接的”。文中给出了严格的数学证明，并给出了大量的数值算例，以证明所提方法的有效性、稳健性和效率。
This work is concerned with the inverse source problem of locating multiple multipolar sources from boundary measurements for the Helmholtz equation. We develop simple and effective sampling schemes for location acquisition of the sources with a single wavenumber. Our algorithms are based on some novel indicator functions whose indicating behaviors could be used to locate multiple multipolar sources. The inversion schemes are totally "direct" in the sense that only simple integral calculations are involved in evaluating the indicator functions. Rigorous mathematical justifications are provided and extensive numerical examples are presented to demonstrate the effectiveness, robustness and efficiency of the proposed methods.