Central difference regularization method for inverse source problem on the Poisson equation

被引：0

作者：

Zhao, Jingjun ^{[1
]}

Liu, Songshu ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 03期

基金：

中国国家自然科学基金;

关键词：

ill-posed problem; central difference regularization method; unknown source; Poisson equation; 65J22; 47A52; BOUNDARY-ELEMENT METHOD; NUMERICAL-SOLUTION; UNKNOWN SOURCE; IDENTIFICATION;

D O I：

10.1080/17476933.2014.940926

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider an inverse problem of determining an unknown source for the Poisson equation. Since this problem is mildly ill-posed, we apply a central difference regularization method to solve this problem. Furthermore, the convergence estimate is established under a priori choice of the regularization parameter. Some numerical results verify that the proposed method is stable and effective.

引用

页码：405 / 415

页数：11

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