@article{238442966a114d2082767c3e355af396,
title = "Fourier method for reconstructing elastic body force from the coupled-wave field",
abstract = "This paper is concerned with the inverse source problem of the time-harmonic elastic waves. A novel non-iterative reconstruction scheme is proposed for determining the elastic body force by using the multi-frequency Fourier expansion. The key ingredient of the approach is to choose appropri-ate admissible frequencies and establish an relationship between the Fourier coefficients and the coupled-wave field of compressional wave and shear wave. Both theoretical justifications and numerical examples are presented to verify the validity and robustness of the proposed method.",
keywords = "Coupled-wave field, Elastic body force, Fourier method, Inverse source problem",
author = "Xianchao Wang and Jiaqi Zhu and Minghui Song and Wei Wu",
note = "Funding Information: Acknowledgments. The work of X. Wang was supported by the NSFC grants under Nos. 11971133, 12001140. The work of J. Zhu was financially supported by the National Science Fund for Distinguished Young Scholars (Grant No. 51625201) and the Key Program of National Natural Science Foundation of China (Grant No. 52032004). The work of M. Song was supported by NSFC grants under Nos. 11671113, 12071101. The work of W. Wu was supported by the Hong Kong RGC grant No. 12302219 and Tier 2 Startup fund from Hong Kong Baptist University. Publisher Copyright: {\textcopyright} 2022, American Institute of Mathematical Sciences. All rights reserved.",
year = "2022",
month = apr,
doi = "10.3934/ipi.2021052",
language = "English",
volume = "16",
pages = "325--340",
journal = "Inverse Problems and Imaging",
issn = "1930-8337",
publisher = "American Institute of Mathematical Sciences",
number = "2",
}