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
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
收藏
页码:405 / 415
页数:11
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