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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


IMPACT FACTOR increased in 2014: 0.880
Rank 74 out of 310 in category Mathematics and 113 out of 255 in Applied Mathematics in the 2014 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR): 0.466
Source Normalized Impact per Paper (SNIP): 1.251

Mathematical Citation Quotient 2013: 0.51

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Identification of dipole sources in an elliptic equation from boundary measurements: application to the inverse EEG problem

A. El Badia / M. Farah

Université de Technologie de Compiègne. Laboratoire de Mathématiques Appliquées de Compiègne. B.P. 20529, 60205 Compiègne cedex, France. E-mail:

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 4, Pages 331–353, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939406777571012,

Publication History

Published Online:

We consider the inverse problem of determining dipole sources, by using boundary measurements. A local Lipshitz stability is established and a cost function transforming our inverse problem into an optimization one is proposed. This cost function involves the solutions computed from both the prescribed and measured data through their values inside the domain and not only on the boundary. An application to inverse EEG problem for which numerical experiments are performed for three concentric spheres representing the scalp, skull and brain as the model of the head, has been proposed.

Citing Articles

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[1]
M. I. Troparevsky, N. Saintier, D. Rubio, and H. T. Banks
Mathematical Biosciences and Engineering, 2015, Volume 12, Number 4, Page 739
[3]
[4]
A. De Cezaro and A. Leitão
Inverse Problems in Science and Engineering, 2012, Volume 20, Number 4, Page 571
[5]
Mejdi Azaïez, Faker Ben Belgacem, Duc Thang Du, and Faten Jelassi
Inverse Problems in Science and Engineering, 2011, Volume 19, Number 8, Page 1063
[6]
Faker Ben Belgacem, Duc Thang Du, and Faten Jelassi
Inverse Problems, 2011, Volume 27, Number 4, Page 045005
[7]
A El-Badia and M Farah
Inverse Problems, 2010, Volume 26, Number 11, Page 115006

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