Identifying an unknown source in the Poisson equation by a wavelet dual least square method

Boundary value problems

Ai-lin Qian¹ 

[1] Department of Mathematics and Statistics, Hubei University of Science and Technology, Xianning, People’s Republic of China

关键词: ill-posed problems;    Meyer wavelet;    regularization;    dual least square method;    error estimate;   

DOI  :  10.1186/1687-2770-2013-267

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with an inverse problem of identifying an unknown source which depends only on one variable in two-dimensional Poisson equation, with the aid of an extra measurement at an internal point. This problem is ill-posed, we proposed a regularization strategy, a wavelet dual least square method, to analyze the stability of the problem. Meanwhile, a numerical experiment is devised to verify the validity of the method. MSC:35R40, 65J20.

【 授权许可】

CC BY