An inverse source problem of the Poisson equation with Cauchy data

Autor: Ji-Chuan Liu
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2017, Iss 119,, Pp 1-19 (2017)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
Databáze: Directory of Open Access Journals