ERROR ESTIMATION TO THE DIRECT SAMPLING METHOD FOR THE INVERSE ACOUSTIC SOURCE PROBLEM WITH MULTI-FREQUENCY DATA

Xia Ji; Yuling Jiao; Xiliang Lu; Fengru Wang

doi:10.3934/ipi.2023042

ERROR ESTIMATION TO THE DIRECT SAMPLING METHOD FOR THE INVERSE ACOUSTIC SOURCE PROBLEM WITH MULTI-FREQUENCY DATA

Xia Ji, Yuling Jiao, Xiliang Lu^*, Fengru Wang

^*Corresponding author for this work

School of Mathematics and Statistics

Wuhan University

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

Abstract

In this article, we introduce a novel direct sampling indicator function for solving the inverse source problem (ISP) associated with the Helmholtz equation. The proposed method is rigorously evaluated through numerical analysis of both singular and general sources, providing a comprehensive as-sessment of its performance. Several numerical examples are given to validate the theoretical estimations.

Original language	English
Pages (from-to)	517-540
Number of pages	24
Journal	Inverse Problems and Imaging
Volume	18
Issue number	2
DOIs	https://doi.org/10.3934/ipi.2023042
Publication status	Published - Apr 2024

Keywords

Inverse problem
direct sampling method
inverse source problem
multi-frequency data
resolution analysis

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10.3934/ipi.2023042

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abstract = "In this article, we introduce a novel direct sampling indicator function for solving the inverse source problem (ISP) associated with the Helmholtz equation. The proposed method is rigorously evaluated through numerical analysis of both singular and general sources, providing a comprehensive as-sessment of its performance. Several numerical examples are given to validate the theoretical estimations.",

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ERROR ESTIMATION TO THE DIRECT SAMPLING METHOD FOR THE INVERSE ACOUSTIC SOURCE PROBLEM WITH MULTI-FREQUENCY DATA

Abstract

Keywords

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