@article{909afde93a1e46ccb51c16cc14d0e812,
title = "Locating multiple multipolar acoustic sources using the direct sampling method",
abstract = "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.",
keywords = "Acoustic wave, Direct sampling method, Helmholtz equation, Inverse source problem, Multipolar sources",
author = "Deyue Zhang and Yukun Guo and Jingzhi Li and Hongyu Liu",
note = "Funding Information: 41474102 and 11671111. The work of J. Li was supported by the NSF grant of China under 11571161 and the Shenzhen Sci-Tech Fund under JCYJ20160530184212170. The work of H. Liu was supported by the FRG funds from Hong Kong Baptist University and the Hong Kong RGC grants (projects 12302017 and 12302018). Funding Information: The work of D. Zhang was supported by the NSF grants of China under 11271159 and 11671170. The work of Y. Guo was supported by the NSF grants of China under 11601107, 41474102 and 11671111. The work of J. Li was supported by the NSF grant of China under 11571161 and the Shenzhen Sci-Tech Fund under JCYJ20160530184212170. The work of H. Liu was supported by the FRG funds from Hong Kong Baptist University and the Hong Kong RGC grants (projects 12302017 and 12302018). Funding Information: The work of D. Zhang was supported by the NSF grants of China under 11271159 and 11671170. The work of Y. Guo was supported by the NSF grants of China under 11601107, Publisher Copyright: {\textcopyright}2019 Global-Science Press",
year = "2019",
month = jan,
doi = "10.4208/CICP.OA-2018-0020",
language = "English",
volume = "25",
pages = "1328--1356",
journal = "Communications in Computational Physics",
issn = "1815-2406",
publisher = "Cambridge University Press",
number = "5",
}