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.
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页数：19
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