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

被引：0
作者：
Ji, Xia [1 ,2 ]
Jiao, Yuling [3 ,4 ]
Lu, Xiliang [3 ,4 ]
Wang, Fengru [2 ,3 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China
[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[4] Wuhan Univ, Hubei Key Lab Computat Sci, Wuhan 430072, Hubei, Peoples R China
来源：
INVERSE PROBLEMS AND IMAGING | 2024年 / 18卷 / 02期
关键词：
Inverse problem; inverse source problem; direct sampling method; multi-frequency data; resolution analysis; SCATTERING SUPPORT; HELMHOLTZ-EQUATION; ALGORITHM;
D O I：
10.3934/ipi.2023042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 assessment of its performance. Several numerical examples are given to validate the theoretical estimations.
引用
收藏
页码：517 / 540
页数：24
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