Here are some recent papers on inverse problems and mathematical modeling in physics. Please feel free to contact me if you need any further information.

• Wang, Sara, Mirza Karamehmedovic, and Faouzi Triki. Localization of moving sources: uniqueness, stability, and Bayesian inference. arXiv preprint arXiv:2204.04465. Submitted (2022).


• H. A. Jebawy, A. E. Badia, and F. Triki. Inverse moving point source problem for the wave equation. arXiv preprint arXiv:2203.07164. Inverse Problems 38 125003 (2022).


• G. Semaan, T. Sayah, and F. Triki. A posteriori error estimates for Darcy-Forchheimer's problem. arXiv preprint arXiv:2202.11643. To appear in Computational Methods in Applied Mathematics (2022).


• E. Bonnetier, M. Choulli, M., F. Triki. Stability for quantitative photoacoustic tomography revisited. Research in the Mathematical Sciences, vol. 9, no 2, p. 1-30. (2022).



• F. Triki and T. Yin. Inverse conductivity problem with internal data. Journal of Computational Mathematics (2022).


• C. Ghanmi, S. Mani-Aouadi, and F. Triki. Recovering the initial condition in the One-Phase Stefan problem. Discrete Contin. Dyn. Syst. Ser. S, 15(5): 1143-1164. (2022).


• C. Ghanmi, S. Mani-Aouadi, and F. Triki. Identification of a boundary influx condition in a one-phase Stefan problem. Applicable Analysis 101 (18), 6573-6595. (2022).


• Y. Kian, E. Soccorsi, F. Triki. Logarithmic stable recovery of the source and the initial state of time fractional diffusion equations arXiv preprint arXiv:2112.10835. Submitted (2021).


• M. Choulli, F. Triki, and Q. Xue. Quantitative uniqueness of continuation result related to Hopf's lemma. Submitted (2021).


• P. Maréchal, W-C. Simo Tao Lee, and F. Triki. A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation. Submitted (2021).


• T. Sayah, G. Semaan and F. Triki. Finite element methods for the Darcy-Forchheimer problem coupled with the convection-diffusion-reaction problem. ESAIM: Mathematical Modelling and Numerical Analysis (2021).


• G.Bao, Y. Liu, and F.Triki. Recovering points sources for the inhomogeneous Helmholtz equation. Inverse Probl. 37, No. 9, Article ID 095005, 22 p. (2021).


• F. Triki and Q. Xue. Hölder stability of quantitative photoacoustic tomography based on partial data. Inverse Probl. 37, No. 10, Article ID 105007, 17 p. (2021).


• F. Triki, Coefficient identification in parabolic equations with final data. Journal de Mathématiques Pures et Appliquées, Volume 148, April. Pages 342-359 (2021).


• G. Bao, Y. Liu, and F. Triki, Recovering simultaneously a potential and a point source from Cauchy data. Journal Minimax Theory and its Applications, Volume 6-2: 227-238 (2021).
• G. Bao and F. Triki, Stability for the multifrequency inverse medium problem. Journal of Differential Equations 269 (9), 7106-7128 (2020).


• H. Ammari, M. Putinar, A. Steekamp, F. Triki. Reconstruction of domains with algebraic boundaries from generalized polarization tensors. SIAM Journal on Imaging Sciences, 12(4), 2097-2118. (2019).


• Kaïs Ammari, Faouzi Triki. On Weak Observability for Evolution Systems with Skew-Adjoint Generators. SIAM Journal on Mathematical Analysis 52 (2), 1884-1902. (2020).


• Faouzi Triki, Darko Volkov. Stability estimates for the fault inverse problem. Inverse Problems, vol. 35, no 7, p. 075007. (2019).


• Habib Ammari, Mihai Putinar, Andries Steenkamp, Faouzi Triki. Identification of an algebraic domain in two dimensions from a finite number of its generalized polarization tensors. Mathematische Annalen, 1-18 (2019).


• Eric Bonnetier, Charles Dapogny, Faouzi Triki, Hai Zhang. The plasmonic resonances of a bowtie antenna. Analysis in Theory and Applications (2019).


• E. Bonnetier, F. Triki, Q Xue. An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves. Inverse Problems 35 (4), 045002 (2019).


• M. Choulli, F. Triki. Hölder Stability for an Inverse Medium Problem with internal Data, Research in the Mathematical Sciences 6 (1), 9 (2019).


• Eric Bonnetier, Faouzi Triki, Chun-Hsiang Tsou. On the electro-sensing of weakly electric fish, Journal of Mathematical Analysis and Applications (2019).


• Faouzi Triki, Chun-Hsiang Tsou. Inverse inclusion problem: A stable method to determine disks, Journal of Differential Equations, Volume 269, Issue 4, 5, Pages 3259-3281 (2020).


• Kaïs Ammari, Mourad Choulli, Faouzi Triki. How to use observability inequalities to solve some inverse problems for evolution equations? An unified approach. CSIAM Trans. Appl. Math., 1 (2020), pp. 207-239.


• K. Ren and F. Triki A Global stability estimate for the photo-acoustic inverse problem in layered media, European Journal of Applied Mathematics 30 (3), 505-528 (2019).


• H. Ammari, F. Triki and C-H. Tsou, Numerical determination of anomalies in multifrequency electrical impedance tomography, European Journal of Applied Mathematics 30 (3), 481-504 (2019).


• E. Bonnetier, C. Dapogny, F. Triki, Homogenization of the eigenvalues of the Neumann-Poincaré operator. Archive for Rational Mechanics and Analysis 234.2 (2019): 777-855.


• F. Triki and M. Vauthrin, Mathematical modeling of the Photoacoustic effect generated by the heating of metallic nanoparticles. Quarterly of Applied Mathematics, (2018), vol. 76, p. 673-698.


• J. Belissard, J. Hazart, S. Labbé, F. Triki. Limits of model-based CD-SEM metrology. 34th European Mask and Lithography Conference 10775, 1077518 (2018).


• H. Ammari and F. Triki. Identification of an inclusion in Multifrequency Electric Impedance Tomography, Communications in Partial Differential Equations, Issue 1, Volume 42, Pages 159-177, (2017).


• K. Ammari, M. Choulli, F. Triki. Hölder stability in determining the potential and the damping coefficient in a wave equation, Journal of Evolution Equations 19 (2), 305-319 (2019).


• J. Lagha, F. Triki, H. Zribi. Small Perturbations of an Interface for Elastostatic Problems, Mathematical Methods in the Applied Sciences, Volume 40, Issue 10, July (2017).


• E. Bonnetier, F. Triki and C.H. Tsou. Eigenvalues of the Neumann-Poincaré operator for two inclusions with contact of order m: A numerical study, J. Comp. Math., 36 (2018), pp. 17-28.


• Kais Ammari, Mourad Choulli, Faouzi Triki. Determining the potential in a wave equation without a geometric condition. Extension to the heat equation, Proc. Am. Math. Soc. 144, No. 10, 4381-4392 (2016).


• G. Bao, J. Lin, P. Li, and F. Triki, Inverse scattering problems with multi-frequencies, Inverse Problems, 31 (9) (2015).


• M. Choulli and F. Triki. New stability estimates for the inverse medium problem with internal data, SIAM J. Math. Anal. 47 (2015), no. 3, 1778–1799.


• Habib Ammari, Éric Bonnetier, Faouzi Triki & Michael Vogelius, Elliptic estimates in composite media with smooth inclusions: an integral equation approach, Ann. Sci. Éc. Norm. Supér. volume 48, no. 2, p50, (2015).


• E. Bonnetier and F. Triki. A Note on Reconstructing the Conductivity in Impedance Tomography by Elastic Perturbation.} In The Impact of Applications on Mathematics (pp. 275-282). Springer Japan (2014).


• Gang Bao and Faouzi Triki, Reconstruction of a defect in an open waveguide, Sci. China Math. 56 , no. 12, 2539–2548 (2013).


• Bonnetier, Eric and Triki, Faouzi, On the spectrum of the Poincaré variational problem for two close-to-touching inclusions in 2D. Arch. Ration. Mech. Anal. 209, no. 2, 541–567. (2013).


• G. Bal, E. Bonnetier, F. Monard, and F. Triki, Inverse diffusion from knowledge of power densities Inverse Problems and Imaging 7 (2), 353-375, (2013).