AN INVERSE SOURCE PROBLEM OF THE POISSON EQUATION WITH CAUCHY DATA

被引：0

作者：

Liu, Ji-Chuan ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Inverse source problem; gradient descent method; trust-region-reflective algorithm; Poisson equation; ill-posed problem; RATIONAL APPROXIMATION; HUMAN-BRAIN; IDENTIFICATION; LOCALIZATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study an inverse source problem of the Poisson equation with Cauchy data. We want to find iterative algorithms to detect the hidden source within a body from measurements on the boundary. Our goal is to reconstruct the location, the size and the shape of the hidden source. This problem is ill-posed, regularization techniques should be employed to obtain the regularized solution. Numerical examples show that our proposed algorithms are valid and effective.

引用

页数：19

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