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Two-Step Extended Sampling Method for the Inverse Acoustic Source Problem
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-07
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Recently, a new method, called the extended sampling method (ESM), was proposed for the inverse scattering problems.
Similar to the classical linear sampling method (LSM), the ESM is simple to implement and fast.
Compared to the LSM which uses full-aperture scattering data, the ESM only uses the scattering data of one incident wave.
In this paper, we generalize the ESM for the inverse acoustic source problems.
We show that the indicator function of ESM, which is defined using the approximated solutions of some linear ill-posed integral equations, is small when the support of the source is contained in the sampling disc and is large when the source is outside.
This behavior is similar to the ESM for the inverse scattering problem.
Numerical examples are presented to show the effectiveness of the method.
American Psychological Association (APA)
Sun, Jiyu& Han, Yuhui. 2020. Two-Step Extended Sampling Method for the Inverse Acoustic Source Problem. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1196789
Modern Language Association (MLA)
Sun, Jiyu& Han, Yuhui. Two-Step Extended Sampling Method for the Inverse Acoustic Source Problem. Mathematical Problems in Engineering No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1196789
American Medical Association (AMA)
Sun, Jiyu& Han, Yuhui. Two-Step Extended Sampling Method for the Inverse Acoustic Source Problem. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1196789
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196789