Conjugate Gradient Method for Estimation of Robin Coefficients

Conjugate Gradient Method for Estimation of Robin Coefficients

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.

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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.