Research interests

• Inverse problems and imaging.

• Asymptotic analysis and mathematical modeling in physics.

• Analysis of partial differential equations and control theory.

Scientific Coordination

• Section editor of the  Journal Inverse problem and Imaging (2025-).

• Associate editor of the Journal Asymptotic Analysis (2025-).

Publication 

Preprints 

• M. Choulli, F.Triki, and Q.Xue. Quantitative uniqueness of continuation result related to Hopf’s lemma. arXivpreprint arXiv:2105.02588 (2023).

• Mirza Karamehmedović, Kristoffer Linder-Steinlein and Faouzi Triki. Explicit over relaxation for Born series solution of general medium scattering problems. (2024).

• M. Karamehmedović, M.S. Carøe, F. Triki. Estimates on the stability constant for the truncated Fourier transform. arXiv preprint arXiv:2407.06656 (2024)

• E. Bonnetier, M. Courdurier, A. Osses, and F. Triki. Radiating Resonances for the Helmholtz equation and thin 2D waveguide detection. arXiv:2311.00132 (2024).

• Mirza Karamehmedović and Faouzi Triki. Localization Coefficients of Functions with Applications in Partial Differential Equations. (2025)

Reprints

• Y. Kian, F Triki, Recovery of an inclusion in Photoacoustic imaging.  Inverse Problems and Imaging, (2025), 19(4): 693-714.

• Karakazian, Hagop; Sayah, Toni; Triki, Faouzi. Recovering the Polytropic Exponent in the Porous Medium Equation: Asymptotic Approach. arXiv:2402.19056; to appear in SeMa Journal (2025).

• Osses, Axel; Triki, Faouzi, An improved spectral inequality for sums of eigenfunctions. Proceedings of the American Mathematical Society 153 (03), 1179-1189 (2025)

• Kristoffer Linder-Steinlein, Mirza Karamehmedović and Faouzi Triki. Stability estimates for the inverse source problem with passive measurements. Inverse Problems and Imaging (2025), Volume 19, Issue 1: 133-141.

• Karamehmedović, Mirza; Triki, Faouzi. On the series solutions of integral equations in scattering. C. R., Math., Acad. Sci. Paris 362, 1023-1035 (2024).

• Karamehmedović, Mirza; Triki, Faouzi Localization and the landscape function for regular Sturm- Liouville operators. Communications in Mathematical Sciences, Volume 22 Number 6 (2024).

• Kristoffer Linder-Steinlein, Mirza Karamehmedović and Faouzi Triki. Fourier method for inverse source problem using correlation of passive measurements. Inverse Problems 40 (2024) 105009 (14pp).

• Sayah, Toni; Semaan, Georges; Triki, Faouzi. A Posteriori error estimates for Darcy-Forchheimer’s prob- lem coupled with the convection-diffusion-reaction equation. International Journal of Numerical Analysis. 21.1 65-103. (2024).

• S. Moufawad, N. Nassif, and F. Triki. Identification of Gas Diffusion Coefficients in Polar Firn. Commu- nications on Analysis and Computation Vol. 2, No. 1, pp. 71-109 (2024).

• Maréchal, Pierre; Triki, Faouzi; Simo Tao Lee, Walter C. Regularization of the inverse Laplace transform by mollification. Inverse Probl. 40, No. 2, Article ID 025010, 25 p. (2024).

• Ammari, Kaïs ; Jammazi, Chaker ; Triki, Faouzi. (Book) Control and inverse problems. The 2022 spring workshop in Monastir, Tunisia, May 9-11, 2022. Trends in Mathematics. Cham: Birkhäuser (ISBN 978- 3-031-36334-4/hbk). viii, 273 p. (2023).

• S. Wang, M. Karamehmedović, F. Triki. Localization of moving sources: uniqueness, stability, and Bayesian inference. SIAM J. Appl. Math. 83, No. 3, 1049-1073 (2023).

• G. Semaan, T. Sayah, F Triki. A posteriori error estimates for Darcy-Forchheimer’s problem. Comput. Methods Appl. Math. 23, No. 2, 517-544 (2023).

• Y. Kian, E Soccorsi, F Triki. Logarithmic stable recovery of the source and the initial state of time frac- tional diffusion equations. SIAM J. Math. Anal. 55, No. 4, 3888-3902 (2023).

• Triki, Faouzi; Yin, Tao Inverse conductivity problem with internal data. (English) Zbl 1524.35773 J. Comput. Math. 41, No. 3, 483-502 (2023).

• P. Maréchal, W-C. Simo Tao Lee, and F. Triki. A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation. J. Inverse Ill-Posed Probl. 31, No. 5, 669-685 (2023).

• H-A Jebawy, A El Badia, F Triki. Inverse moving point source problem for the wave equation. Inverse Probl. 38, No. 12, Article ID 125003, 11 p. (2022).

• C. Ghanmi, S. Mani-Aouadi, and F. Triki. Identification of a boundary in flux condition in a one-phase Stefan problem. Appl. Anal. 101, No. 18, 6573-6595 (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).

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

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

• T. Sayah, G. Semaan, F. Triki. Finite element methods for the Darcy-forcheimer problem coupled with convection- diffusion-reaction problem. ESAIM: M2AN 55, 2643-2678 (2021).

• G. Bao, Y. Liu, and F. Triki. Recovering point sources for inhomogeneous Helmholtz equation. Inverse Problems 37 (9) (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, F. Triki. Stability for the multifrequency inverse medium problem. Journal of Differential Equa- tions, vol. 269, no 9, p. 7106-7128 (2020).

• K. Ammari, F. Triki. On Weak Observability for Evolution Systems with Skew-Adjoint Generators. SIAM Journal on Mathematical Analysis, 52.2: 1884-1902. (2020).

• K. Ammari, M. Choulli, F Triki. How to use observability inequalities to solve some inverse problems for evolution equations?An unified approach. CSIAMTrans.Appl.Math.,1 (2020),pp.207-239.

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

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

• E. Bonnetier, C. Dapogny ,and F. Triki. Homogenization of the eigenvalues of the Neumann-Poincaré operator. Archive for Rational Mechanics and Analysis 234 (2), 777-855 (2019).

• Faouzi Triki, Darko Volkov. Stability estimates for the fault inverse problem. Inverse Problems, vol.35, no7, p.075007. (2019).

• H. Ammari, M. Putinar, A. Steenkamp, F. Triki. Identification of an algebraic domain in two dimensions from a finite number of its generalized polarization tensors. Mathematische Annalen 375 (3-4), 1337-1354 (2019).

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

• E. Bonnetier, C. Dapogny, F. Triki, H. Zhang. The plasmonic resonances of a bowtie antenna. Anal. Theory Appl. 35, No. 1, 85-116 (2019).

• 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).

• 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).

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

• Mourad Choulli, and Faouzi Triki. Hölder stability for an inverse medium problem with internal data. Research in the Mathematical Sciences, vol. 6, no 1, p. 9. (2019).

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

• E. Bonnetier, F. Triki, C-H Tsou. On the electro-sensing of weakly electric fish, Journal of Mathematical Analysis and Applications 464 (1), 280-303 (2018).

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

• E. Bonnetier, Faouzi Triki, and Chun-Hsiang Tsou. Eigenvalues of the Neumann-Poincaré operator for two inclusions with contact of order m: A numerical study. Journal of Computational Mathematics 36.1: 17-28 (2018). 

• J. Lagha; F. Triki; H. Zribi. Small perturbations of an interface for elastostatic problems. Math. Methods Appl. Sci. 40, No. 10, 3608-3636 (2017).

• H. Ammari, and F. Triki. Identification of an inclusion in multifrequency electric impedance tomography. Commun. Partial Differ. Equations 42, No. 1, 159-177, (2017).

• K. Ammari, M. Choulli and F. 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 , P. Li, J. Lin 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.

• H. Ammari, E. Bonnetier, F, Triki and M. Vogelius. Elliptic estimates in composite media with smooth inclusions: an integral equation approach, Annales scientifiques de l’ENS 48, fascicule 2, 453-495 (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).

• E. Bonnetier and F. Triki. 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 Probl. Imaging 7, No. 2, 353-375 (2013).

• E. Bonnetier, D. Manceau and F. Triki. Asymptotic of the velocity of a dilute suspension of droplets with interfacial tension. Q. Appl. Math. 71, No. 1, 89-117 (2013).

• E. Bonnetier and F. Triki. Pointwise bounds on the gradient and the spectrum of the Neumann-Poincaré operator: the case of 2 discs. Contemporary Mathematics 577, 81-91 (2012).

• G. Bao, J. Lin, and F. Triki, Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data. Contemp. Math 548, 45-60, (2011).

• G. Bao, J. Lin and F. Triki. An inverse source problem with multiple frequency data. C. R., Math., Acad. Sci. Paris 349, No. 15-16, 855-859 (2011).

• H. Ammari, Y. Capdeboscq, Yves; F. de Gournay, A. Rozanova-Pierrat, F. Triki. Microwave imaging by elastic deformation. SIAM J. Appl. Math. 71, No. 6, 2112-2130 (2011).

• Triki, Uniqueness and stability for the inverse medium problem with internal data, Inverse Probl., 26 (9), 095014, (2010).

• G. Bao, J. Lin, and F. Triki, A multi-frequency inverse source problem, J. Differ. Equ., 249 (12), 3443-3465, (2010).

• J-F. Babadjian, E. Bonnetier, and F. Triki, Enhancement of electromagnetic elds caused by interacting subwavelength cavities, Multiscale Model. Simul., 8 (4), 1383- 1418, (2010).

• E. Bonnetier and F. Triki, Asymptotics for the Green function for the diffraction by a perfectly conducting plane perturbed by a rectangular cavity, Math. Meth. Appl. Sci., 33 (6), 772-798, (2010).

• G. Bao and F. Triki. Error Estimates for Recursive Linearization of Inverse Medium Problems, J. Comput. Math., 28 (6), 725-744, (2010).

• E. Bonnetier and F. Triki. Asymptotics in the presence of inclusions of small volume for a conduction equation: A case with a non-smooth reference potential, Contemporary Math. Series, volume 494, pages 95-112, (2009).

• H. Ammari, F. Triki. Splitting of resonant and scattering frequencies under shape deformation. Journal of Differential equations, 202(2), 231-255 (2004).

• H. Ammari, F. Triki. Resonances for microstrip transmission lines. SIAM Journal on Applied Mathemat- ics, 64(2), 601-636 (2004).