On reconstruction of small sources from Cauchy data at a fixed frequency

被引：2

作者：

Harris, Isaac ^{[1
]}

Le, Thu ^{[2
]}

Nguyen, Dinh-Liem ^{[2
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 145卷

基金：

美国国家科学基金会;

关键词：

Inverse source problem; Numerical reconstruction; Cauchy data; Small sources; Single frequency; INVERSE SOURCE PROBLEM;

D O I：

10.1016/j.aml.2023.108765

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This short paper is concerned with the numerical reconstruction of small sources from boundary Cauchy data for a single frequency. We study a sampling method to determine the location of small sources in a very fast and robust way. Furthermore, the method can also compute the intensity of point sources provided that the sources are well separated. A simple justification of the method is done using the Green representation formula and an asymptotic expansion of the radiated field for small volume sources. The implementation of the method is non-iterative, computationally cheap, fast, and very simple. Numerical examples are presented to illustrate the performance of the method.& COPY; 2023 Elsevier Ltd. All rights reserved.

引用

页数：7

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