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Conjugate Gradient Method for Estimation of Robin Coefficients

Published online by Cambridge University Press:  28 May 2015

Yan-Bo Ma  and
Fu-Rong Lin
Yan-Bo Ma*
Affiliation:
Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, P. R. China
Fu-Rong Lin*
Affiliation:
Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, P. R. China
*
Corresponding author. Email Address: g_ybma@stu.edu.cn
Corresponding author. Email Address: frlin@stu.edu.cn
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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.

Keywords

45Q0565N21Robin inverse problemill-posednessboundary integral equationregularisationconjugate gradient method
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 4 , Issue 2 , May 2014 , pp. 189 - 204
Copyright
Copyright © Global-Science Press 2014

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