We consider the inverse problem of identifying a Robin coefficient on some part of the boundary of a smooth 2D domain from overdetermined data available on the other part of the boundary, for Laplace equation in the domain. Using tools from complex analysis and analytic functions theory, we provide a constructive and convergent identification scheme for this inverse problem, together with numerical experiments.

Editor-in-Chief: Kabanikhin, Sergey I.
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Parameter identification for Laplace equation and approximation in Hardy classes
∗ENIT-LAMSIN, & Faculté des Sciences de Sfax, 3038, Sfax, Tunisie. E-mail: slim.chaabane@fsm.rnu.tn
†ENIT-LAMSIN, BP 37, 1002 Tunis-Bélvédère. E-mail: Mohamed.Jaoua@enit.rnu.tn
‡INRIA Sophia-Antipolis - B.P. 93-06902, Sophia Antipolis Cedex, France. E-mail: leblond@sophia.inria.fr
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 11, Issue 1, Pages 33–57, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939403322004928,
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