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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


IMPACT FACTOR increased in 2015: 0.987
Rank 59 out of 312 in category Mathematics and 93 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2015: 0.583
Source Normalized Impact per Paper (SNIP) 2015: 1.106
Impact per Publication (IPP) 2015: 0.712

Mathematical Citation Quotient (MCQ) 2015: 0.43

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1569-3945
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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

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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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