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.
Editor-in-Chief: Kabanikhin, Sergey I.
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Identification of dipole sources in an elliptic equation from boundary measurements: application to the inverse EEG problem
∗Université de Technologie de Compiègne. Laboratoire de Mathématiques Appliquées de Compiègne. B.P. 20529, 60205 Compiègne cedex, France. E-mail: abdellatif.elbadia@utc.fr
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,
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