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

^*此作品的通讯作者

数学学院

Wuhan University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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.

源语言	英语
页（从-至）	517-540
页数	24
期刊	Inverse Problems and Imaging
卷	18
期	2
DOI	https://doi.org/10.3934/ipi.2023042
出版状态	已出版 - 4月 2024

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10.3934/ipi.2023042

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

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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AU - Wang, Fengru

PY - 2024/4

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N2 - 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.

AB - 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.

KW - Inverse problem

KW - direct sampling method

KW - inverse source problem

KW - multi-frequency data

KW - resolution analysis

UR - https://www.scopus.com/pages/publications/85186480448

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

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