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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


IMPACT FACTOR 2016: 0.783
5-year IMPACT FACTOR: 0.792

CiteScore 2016: 0.80

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

Mathematical Citation Quotient (MCQ) 2015: 0.43

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ISSN
1569-3945
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Volume 14, Issue 4 (Jul 2006)

Issues

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

A. El Badia
  • Université de Technologie de Compiègne. Laboratoire de Mathématiques Appliquées de Compiègne. B.P. 20529, 60205 Compiègne cedex, France. E-mail:
/ M. Farah
  • Université de Technologie de Compiègne. Laboratoire de Mathématiques Appliquées de Compiègne. B.P. 20529, 60205 Compiègne cedex, France. E-mail:

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.

About the article

Published Online:

Published in Print: 2006-07-01



Citation Information: Journal of Inverse and Ill-posed Problems jiip, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/156939406777571012. Export Citation

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M. I. Troparevsky, N. Saintier, D. Rubio, and H. T. Banks
Mathematical Biosciences and Engineering, 2015, Volume 12, Number 4, Page 739
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[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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