A Direct Sampling Method to Reconstruct the Source of Elastic Waves from Far-Field Pattern

Yan Chang; Yukun Guo; M. V. Klibanov; Jingzhi Li

doi:10.1134/S0965542525701829

A Direct Sampling Method to Reconstruct the Source of Elastic Waves from Far-Field Pattern

Yan Chang^*
, Yukun Guo^*
, M. V. Klibanov^*
, Jingzhi Li^*

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology
University of North Carolina at Charlotte
Southern University of Science and Technology

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: This paper investigates the inverse source problem for the time-harmonic elastic wave equation using far-field measurements. We propose a set of novel indicator functions designed to simultaneously identify the source locations and recover the corresponding polarizations from the observed data. Theoretical analysis is performed to establish the validity of the proposed approach. In addition, several numerical experiments are presented to demonstrate the effectiveness and robustness of the method, including its performance under noisy conditions.

Original language	English
Pages (from-to)	136-147
Number of pages	12
Journal	Computational Mathematics and Mathematical Physics
Volume	66
Issue number	1
DOIs	https://doi.org/10.1134/S0965542525701829
State	Published - Jan 2026
Externally published	Yes

Keywords

direct sampling method
elastic wave
far-field measurement
inverse source problem
stability analysis

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10.1134/S0965542525701829

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title = "A Direct Sampling Method to Reconstruct the Source of Elastic Waves from Far-Field Pattern",

abstract = "Abstract: This paper investigates the inverse source problem for the time-harmonic elastic wave equation using far-field measurements. We propose a set of novel indicator functions designed to simultaneously identify the source locations and recover the corresponding polarizations from the observed data. Theoretical analysis is performed to establish the validity of the proposed approach. In addition, several numerical experiments are presented to demonstrate the effectiveness and robustness of the method, including its performance under noisy conditions.",

keywords = "direct sampling method, elastic wave, far-field measurement, inverse source problem, stability analysis",

author = "Yan Chang and Yukun Guo and Klibanov, \{M. V.\} and Jingzhi Li",

note = "Publisher Copyright: {\textcopyright} Pleiades Publishing, Ltd. 2026.",

year = "2026",

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language = "英语",

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AU - Chang, Yan

AU - Guo, Yukun

AU - Klibanov, M. V.

AU - Li, Jingzhi

N1 - Publisher Copyright: © Pleiades Publishing, Ltd. 2026.

PY - 2026/1

Y1 - 2026/1

N2 - Abstract: This paper investigates the inverse source problem for the time-harmonic elastic wave equation using far-field measurements. We propose a set of novel indicator functions designed to simultaneously identify the source locations and recover the corresponding polarizations from the observed data. Theoretical analysis is performed to establish the validity of the proposed approach. In addition, several numerical experiments are presented to demonstrate the effectiveness and robustness of the method, including its performance under noisy conditions.

AB - Abstract: This paper investigates the inverse source problem for the time-harmonic elastic wave equation using far-field measurements. We propose a set of novel indicator functions designed to simultaneously identify the source locations and recover the corresponding polarizations from the observed data. Theoretical analysis is performed to establish the validity of the proposed approach. In addition, several numerical experiments are presented to demonstrate the effectiveness and robustness of the method, including its performance under noisy conditions.

KW - direct sampling method

KW - elastic wave

KW - far-field measurement

KW - inverse source problem

KW - stability analysis

UR - https://www.scopus.com/pages/publications/105030685947

U2 - 10.1134/S0965542525701829

DO - 10.1134/S0965542525701829

M3 - 文章

AN - SCOPUS:105030685947

SN - 0965-5425

VL - 66

SP - 136

EP - 147

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

IS - 1

ER -

A Direct Sampling Method to Reconstruct the Source of Elastic Waves from Far-Field Pattern

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Keywords

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