Membres

Travaux récents

• An inverse dipole source problem in inhomogeneous media : application to the EEG source localization in neonates, submitted (with M. Darbas, M.Diallo and S. Lohrenge)
• EEG in neonates : forward modeling and sensitivity analysis with respect to variations of the conductivity, Mathematical Biosciences and Engineering, 15(4) (2018), 905-932. (with H. Azizollahi, M. Darbas, M.Diallo and S. Lohrenge)
• Logarithmic stability estimates for an inverse source problem from interior measurements. Appl. Anal. 97 (2018), no. 2, 274–294. (with A. El Hajj, M. Jazar, H. Moustafa)
• Some remarks on the small electromagnetic inhomogeneities reconstruction problem. Inverse Probl. Imaging 11 (2017), no. 6, 1027–1046. (with B. Abdelaziz, A. El Hajj)
• Lipschitz stability estimates for an inverse source problem in an elliptic equation from interior measurements. Appl. Anal. 95 (2016), no. 9, 1873–1890. (with A. El Hajj,
• M. Jazar, H. Moustafa)
• Direct algorithms for solving some inverse source problems in 2D elliptic equations. Inverse Problems 31 (2015), no. 10, 105002, 26 pp. (with B. Abdelaziz, A. El Hajj)
• Direct algorithm for multipolar sources reconstruction. J. Math. Anal. Appl. 428 (2015), no. 1, 306–336. (with B. Abdelaziz, A. El Hajj)
• On an inverse source problem for the heat equation. Application to a pollution detection problem, II. Inverse Probl. Sci. Eng. 23 (2015), no. 3, 389–412. (with M. Andrle)
• Identification of multipolar sources in a bioluminescent tomography problem. Congrès SMAI 2013, 390–399, ESAIM Proc. Surveys, 45, EDP Sci., Les Ulis, 2014. 94A08 (92C55)
• (with B. Abdelaziz, A. El Hajj)
• Stability estimates for an inverse source problem of Helmholtz’s equation from single Cauchy data at a fixed frequency. Inverse Problems 29 (2013), no. 12, 125008, 20 pp. (with A. El Hajj)
• Reconstruction of extended sources with small supports in the elliptic equation Δu+μu=F from a single Cauchy data. C. R. Math. Acad. Sci. Paris 351 (2013), no. 21-22, 797–801. (with B. Abdelaziz, A. El Hajj)
• Identification of dislocations in materials from boundary measurements. SIAM J. Appl. Math. 73 (2013), no. 1, 84–103. (with A. El Hajj)
• Inverse dipole source problem for time-harmonic Maxwell equations : algebraic algorithm and Hölder stability. Inverse Problems 29 (2013), no. 1, 015007, 19 pp. (with T. Nara)
• Hölder stability estimates for some inverse pointwise source problems. C. R. Math. Acad. Sci. Paris 350 (2012), no. 23-24, 1031–1035. (with A. El Hajj)
• Identification of multiple moving pollution sources in surface waters or atmospheric media with boundary observations. Inverse Problems 28 (2012), no. 7, 075009, 22 pp. (with M. Andrle)
• An inverse source problem for Helmholtz’s equation from the Cauchy data with a single wave number. Inverse Problems 27 (2011), no. 10, 105001, 15 pp. (with T. Nara)
• Identification of moving pointwise sources in an advection-dispersion-reaction equation. Inverse Problems 27 (2011), no. 2, 025007, 21 pp. (with M. Andrle, F. Ben Belgacem)
• An inverse source problem for quasi-static Maxwell’s equations. J. Inverse Ill-Posed Probl. 18 (2010), no. 7, 741–764. (with T. Nara)
• A stable recovering of dipole sources from partial boundary measurements. Inverse Problems 26 (2010), no. 11, 115006, 24 pp. (with M. Farah)
• An inverse source elliptic problem : application to EEG. Mathematical methods in biomedical imaging and intensity-modulated radiation therapy (IMRT), 107–129, CRM Series, 7, Ed. Norm., Pisa, 2008. (with M. Farah)
• Inverse source problem in an advection-dispersion-reaction system : application to water pollution. Inverse Problems 23 (2007), no. 5, 2103–2120. (with A. Hamdi)
• Identification of dipole sources in an elliptic equation from boundary measurements : application to the inverse EEG problem. J. Inverse Ill-Posed Probl. 14 (2006), no. 4, 331–353. (with M. Farah)

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