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Conjugate Gradient Method for Estimation of Robin Coefficients

Published online by Cambridge University Press:  28 May 2015

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.

Type
Research Article
Copyright
Copyright © Global-Science Press 2014

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