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Dive into the research topics where Moncef Mahjoub is active.

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Featured researches published by Moncef Mahjoub.


Journal of Inverse and Ill-posed Problems | 2006

Analytic extensions and Cauchy-type inverse problems on annular domains: stability results

Juliette Leblond; Moncef Mahjoub; Jonathan R. Partington

We consider the Cauchy issue of recovering boundary values on the inner circle of a two-dimensional annulus from available overdetermined data on the outer circle, for solutions to the Laplace equation. Using tools from complex analysis and Hardy classes, we establish stability properties and error estimates.


euro mediterranean conference | 2009

Sources recovery from boundary data: A model related to electroencephalography

Amel Ben Abda; Fahmi Ben Hassen; Juliette Leblond; Moncef Mahjoub

We are concerned with an inverse problem related to sources detection from boundary data in a 2D medium with piecewise constant conductivity. It stands as a 2D version of the inverse problem of electroencephalography, where pointwise sources model epilepsy foci, with the so-called multi-layer spherical model of the head (scalp, skull, brain). When overdetermined electrical measurements (potential and current flux) are available on the scalp, one wants to recover the current sources (conductivity defaults) located in the brain (inner boundary). This recovery issue reduces to a number of inverse problems, where the sources identification process makes use of best rational approximation in the disk, whereas the preliminary cortical mapping step (Cauchy type issue) relies on best constrained harmonic or analytic approximation in an annulus (bounded extremal problems).


Ima Journal of Applied Mathematics | 2009

Robust numerical algorithms based on analytic approximation for the solution of inverse problems in annular domains

Mohamed Jaoua; Juliette Leblond; Moncef Mahjoub; Jonathan R. Partington


Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées | 2008

On some robust algorithms for the Robin inverse problem

Mohamed Jaoua; Slim Chaabane; Chokri Elhechmi; Moncef Mahjoub; Jonathan R. Partington


Archive | 2008

New Results - Inverse Problems for 2-D and 3-D elliptic operators

Laurent Baratchart; Maureen Clerc; Yannick Fischer; José Grimm; Mohamed Jaoua; Juliette Leblond; Moncef Mahjoub; Jean-Paul Marmorat; Ana-Maria Nicu; Jonathan R. Partington; Stéphane Rigat; E. B. Saff; Meriem Zghal


Archive | 2006

Application Domains - Geometric inverse problems for the Laplace and the Beltrami equation

Amina Amassad; Bilal Atfeh; Laurent Baratchart; Amel Ben Abda; Imen Fellah; José Grimm; Mohamed Jaoua; Juliette Leblond; Moncef Mahjoub; Jonathan R. Partington; Stéphane Rigat; E. B. Saff


Archive | 2006

Analysis and Problems of Inverse type in Control and Signal processing

Laurent Baratchart; Jean-Baptiste Pomet; José Grimm; Juliette Leblond; Martine Olivi; Stéphane Rigat; Fabien Seyfert; Alex Bombrun; Imen Fellah; Vincent Lunot; Moncef Mahjoub; Meriem Zghal; Andrea Gombani; Mohamed Jaoua; Jean-Paul Marmorat; Jonathan R. Partington; Pierre Rouchon; E. B. Saff; Philippe Lenoir; Eva Sincich; Hamza Jirari; Fahmi Ben Hassen; Bernard Bonnard; Jonathan Chetboun; Moufida El Guenichi; Youssef El Fassy Fihry; Vladimir Peller; Mihaly Petreczky; Alexei Poltoratski; Maxim L. Yattselev


Archive | 2005

Analytic extensions and Cauchy-type inverse problems on annular domains. I: theoretical aspects and stability results

Amel Ben Abda; Juliette Leblond; Moncef Mahjoub; Jonathan R. Partington


Archive | 2002

Mathématiques et Informatique de l'Automatique et de l'Optimisation pour l'Utilisateur

Laurent Baratchart; Juliette Leblond; José Grimm; Martine Olivi; Jean-Baptiste Pomet; Odile Pourtallier; Fabien Seyfert; Franck Wielonsky; David Avanessoff; Andreï Ivanov; Reinhold Küstner; Imen Fellah; Andrea Gombani; Jonathan R. Partington; E. B. Saff; Slim Chaabane; Bernard Malgrange; Felipe Monroy; Vladimir Peller; Fehmi Ben Hassen; Alex Bombrun; Moez Kallel; Vincent Lunot; Moncef Mahjoub


Archive | 2002

New Results - Problèmes inverses pour le Laplacien 2D et 3D

Laurent Baratchart; Amel Ben Abda; Fehmi Ben Hassen; Slim Chaabane; Imen Fellah; Mohamed Jaoua; Moez Kallel; Juliette Leblond; Moncef Mahjoub; Jean-Paul Marmorat

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Mohamed Jaoua

École Normale Supérieure

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Amel Ben Abda

École Normale Supérieure

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Vladimir Peller

Michigan State University

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