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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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Online
ISSN
1569-3945
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Volume 11, Issue 1

Issues

Parameter identification for Laplace equation and approximation in Hardy classes

S. Chaabane / M. Jaoua / J. Leblond

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.

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Published Online:

Published in Print: 2003-03-01


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: https://doi.org/10.1515/156939403322004928.

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Slim Chaabane and Imed Feki
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[2]
A. Habbal and M. Kallel
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[3]
Imed Feki
Czechoslovak Mathematical Journal, 2013, Volume 63, Number 2, Page 481
[4]
Yannick Fischer, Benjamin Marteau, and Yannick Privat
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I. Feki, H. Nfata, and F. Wielonsky
Journal of Mathematical Analysis and Applications, 2012, Volume 395, Number 1, Page 366
[6]
S Chaabane, I Feki, and N Mars
Inverse Problems, 2012, Volume 28, Number 6, Page 065016
[7]
S. Chaabane, J. Ferchichi, and K. Kunisch
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[8]
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Journal of Mathematical Analysis and Applications, 2009, Volume 359, Number 2, Page 451
[9]
Hui Cao, Sergei V Pereverzev, and Eva Sincich
Journal of Physics: Conference Series, 2008, Volume 135, Page 012027
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[11]
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SIAM Journal on Mathematical Analysis, 2010, Volume 42, Number 6, Page 2922
[12]
J. Leblond, M. Mahjoub, and J. R. Partington
Journal of Inverse and Ill-posed Problems, 2006, Volume 14, Number 2, Page 189
[13]
E Sincich
Inverse Problems, 2007, Volume 23, Number 3, Page 1311

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