Abdellatif El Badia
Statut : Professeur des Universités
Bureau : GI 120
Travaux récents
- Inverse moving point source problem for the wave equation. Inverse Problems 38 (2022), no. 12, Paper No. 125003, 11 pp. (with H. Al Jebawy and F. Triki)
- On an inverse photoacoustic tomography problem of small absorbers with inhomogeneous sound speed. IMA J. Appl. Math. 87 (2022), no. 4, 607–646. (with H. Al Jebawy)
- Identification and stability of small-sized dislocations using a direct algorithm. Inverse Probl. Imaging 16 (2022), no. 1, 197–214. (with B. Abdelaziz and A. El Hajj)
- An efficient and robust algorithm for source reconstruction in the Helmholtz equation. Inverse Probl. Sci. Eng. 29 (2021), no. 13, 2944–2970. (with A. Charkaoui and N. Alaa)
- Identification of physical parameters in pressing of rapeseeds from the oil flux measurements. Math. Methods Appl. Sci. 43 (2020), no. 15, 8379–8405. (with R. Bacha, A. El Hajj and S. Mottelet)
- Direct algorithm for reconstructing small absorbers in thermoacoustic tomography problem from a single data. Inverse Problems 36 (2020), no. 6, 065010, 23 pp. (with H. Al Jebawy)
- Identification of point sources in an elliptic equation from interior measurements : application to a seawater intrusion problem. J. Inverse Ill-Posed Probl. 27 (2019), no. 4, 559–574. (with A. El Hajj, M. Jazar and H. Moustafa)
- An inverse dipole source problem in inhomogeneous media : application to the EEG source localization in neonates. J. Inverse Ill-Posed Probl. 27 (2019), no. 2, 255–281. (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)