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Volume 9, Issue 2
A Fourier Method to Recover Elastic Sources with Multi-Frequency Data

Minghui Song & Xianchao Wang

DOI: 10.4208/eajam.250518.041118

East Asian J. Appl. Math., 9 (2019), pp. 369-385.

Published online: 2019-03

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  • Abstract

An inverse source problem for elastic waves in isotropic homogeneous media is considered and a Fourier transform based multi-frequency approach to determine the elastic source is proposed. This is an easily implementable fast non-iterative inversion scheme. The stability estimate is derived. Numerical examples demonstrate the effectiveness of the method.

  • Keywords

Inverse source problem, elastic wave, Fourier transform, multi-frequency, far field.

  • AMS Subject Headings

49N45, 65L32, 65N21

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-9-369, author = {Minghui Song and Xianchao Wang}, title = {A Fourier Method to Recover Elastic Sources with Multi-Frequency Data}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {2}, pages = {369--385}, abstract = {

An inverse source problem for elastic waves in isotropic homogeneous media is considered and a Fourier transform based multi-frequency approach to determine the elastic source is proposed. This is an easily implementable fast non-iterative inversion scheme. The stability estimate is derived. Numerical examples demonstrate the effectiveness of the method.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.250518.041118}, url = {http://global-sci.org/intro/article_detail/eajam/13088.html} }
TY - JOUR T1 - A Fourier Method to Recover Elastic Sources with Multi-Frequency Data AU - Minghui Song & Xianchao Wang JO - East Asian Journal on Applied Mathematics VL - 2 SP - 369 EP - 385 PY - 2019 DA - 2019/03 SN - 9 DO - http://doi.org/10.4208/eajam.250518.041118 UR - https://global-sci.org/intro/article_detail/eajam/13088.html KW - Inverse source problem, elastic wave, Fourier transform, multi-frequency, far field. AB -

An inverse source problem for elastic waves in isotropic homogeneous media is considered and a Fourier transform based multi-frequency approach to determine the elastic source is proposed. This is an easily implementable fast non-iterative inversion scheme. The stability estimate is derived. Numerical examples demonstrate the effectiveness of the method.

Minghui Song and Xianchao Wang. (2019). A Fourier Method to Recover Elastic Sources with Multi-Frequency Data. East Asian Journal on Applied Mathematics. 9 (2). 369-385. doi:10.4208/eajam.250518.041118
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