Year: 2014
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 2 : pp. 189–204
Abstract
We consider a Robin inverse problem associated with the Laplace equation, which is a severely ill-posed and nonlinear. We formulate the problem as a boundary integral equation, and introduce a functional of the Robin coefficient as a regularisation term. A conjugate gradient method is proposed for solving the consequent regularised nonlinear least squares problem. Numerical examples are presented to illustrate the effectiveness of the proposed method.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.101213.260314a
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 2 : pp. 189–204
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Robin inverse problem ill-posedness boundary integral equation regularisation conjugate gradient method.
-
Tomographic reconstruction of refractive index fields based on laser beam deflection measurement
Wei, Linyang | Qi, Hong | Li, Guojun | Ruan, Shi-Ting | Li, HongruOptics Communications, Vol. 492 (2021), Iss. P.126951
https://doi.org/10.1016/j.optcom.2021.126951 [Citations: 6] -
The numerical solution of forward and inverse Robin problems for Laplace’s equation
Qu, Dan | Ma, Yan-BoBoundary Value Problems, Vol. 2019 (2019), Iss. 1
https://doi.org/10.1186/s13661-019-1229-6 [Citations: 0] -
Estimation of a Regularisation Parameter for a Robin Inverse Problem
Fang, Xi-Ming | Lin, Fu-Rong | Wang, ChaoEast Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 2 P.325
https://doi.org/10.4208/eajam.150216.260117a [Citations: 0]