Picture: Place des Vosges, Paris. France. One of my favorite places in Paris, where I lived from 1983 to 1994.
Publications:
23 - Nouf Al Saleem, Anis Mohamed, Nabil Gmati, T.Ghrib and Al.
Numerical investigation of surface and volume thermal imaging of Nickel-graphene foam sheets by Finite Element Method. August 2024. Results in Engineering 24(8):103006.
22 - Malek Fehaid, N. Gmati and Al.
Image Encryption Algorithm based on Factorial Decomposition. Multimedia tools and Applications. 03 January 2024.
21 - R. Bessi and N. Gmati.
The Hessian by blocks for Neural network by Backward propagation. Journal of Taibah University for Science. Volume 18, 2024 - Issue 1.
20 - N. Gmati, F. Jelassi and A. Mohamed.
On the Schwarz Method for the Eddy Currents Model. Computers and Mathematics with Applications . Volume 113, 1 May 2022, Pages 174-188.
19 - Harouna Soumare, Sadok Rezgui, Alia Benkahla, and Nabil Gmati.
Deep Learning algorithms Analysis of Regularization techniques to genomic data. Array Journal, Volume 11, September 2021, 100068.
18 - Harouna Soumare, Sadok Rezgui, Alia Benkahla, and Nabil Gmati.
New Neural Network classification method for individuals ancestry prediction from SNPs data. Bio Data Mining Journal, 14, 30 (2021).
17 - F. Ben Belgacem, N. Gmati, F. Jelassi.
Computational Zooming in Near Unilateral Cracks by Schwarz Method with Total Overlap. J. Math. Study. doi: 10.4208/jms.v52n4.19.02, Vol. 52, No. 4, pp. 378-393. December 2019
16 - E. Darrigrand, N. Gmati, R. Rais
Convergence of Krylov Subspace Solvers with Schwarz Pre-conditioner for the Exterior Maxwell Problem
Computers and Mathematics with Applications, August, 2017.
15 - N. Gmati, S. Lanteri, A. Mohamed
Discontinuous Galerkin Method Coupled with an Integral Representation for Solving the Three-Dimensional Time-Harmonic Maxwell Equations
Applied Acoustic, 108 : 59-62, Vol. 1, 2016.
14 - N. Gmati, S. Lanteri, A. Mohamed
Solving the Three-Dimensional Time-Harmonic Maxwell Equations by Discontinuous Galerkin Methods Coupled to an Integral Representation
Springer International Publishing, Vol.2, 2015, pp 401-408. 2015
13 - E. Darrigrand, N. Gmati, R. Rais
Schwarz Method Justification of a Coupling Between Finite Elements and Integral Representation for Maxwell Exterior Problem
Comptes Rendus Mathematiques, 352 (4), pp.311-315, 2014.
12 - M. Bouajaji, N. Gmati, S. Lanteri and J. Salhi
Coupling of an Exact Transparent Boundary Condition with a Discontinuous Galerkin Method for the Solution of the Time-Harmonic Maxwell Equations. Spectral and High-Order Methods for Partial Differential Equations
Selected Papers from the Icosahom 2012 Conference, Lecture Notes in Computational Science and Engineering, Springer, 2013
11 - F. Ben Belgacem, F.Jelassi and N. Gmati
Total Overlapping Schwarz Pre-conditioners for Elliptic Problems
ESAIM-M2AN, 2011, Vol. 45, pp 91- 113.
10 - F. Ben Belgacem, F.Jelassi and N. Gmati
Convergence Bounds of GMRES with Schwarz Pre-conditioner for the Scattering Problem
International Journal for Numerical Methods in Engineering. Int. J. Numer. Meth. Eng. 2009, 80, pp. 191-209 .
9 - N. Gmati and B. Philippe
Comments on the GMRES Convergence for Preconditioned Systems
Large-Scale Scientific Computing. Revised papers in the 6th International Conference, LSSC 2007, pp 40-51.
8 - M. Azaiez, A. Ben Abda, R. Ben Fatma, N. Gmati
Missing Boundary Data Recovering for the Helmholtz Problem
CRAS Mécanique, 335 pp. 787- 792, 2007.
7 - C. Hazard, N. Gmati, C. Ben Amar, K. Ramdani
Numerical Simulation of Acoustic Time Reversal Mirrors', in SIAM Journal of Applied Mathematics
Vol. 64, N.3, pp. 2067-2076, 2006 .
6 - N. Gmati et N. Zrelli
Numerical Study of Some Iterative Solvers for Acoustics in Unbounded Domains
ARIMA, Vol.4, pp. 1-23, 2006.
5 - F. Ben Belgacem, M. Fourni,́ N. Gmati et F. Jelassi
On the Schwarz Algorithms for Elliptic Exterior Boundary Value Problems
ESAIM-M2AN, Vol. 39, N.4, 2005.
4 - A.S. Bonnet-Bendhia, D. Drissi, N. Gmati
Mathematical Analysis of the Acoustic Diffraction by a Muffler Containing Perforated Ducts
M3AS, Vol.15, N.7, 2005.
3 - A.S. Bonnet-Bendhia, D. Drissi, N. Gmati
Determination of Muffler’s Transmission Losses by a Homogenized Finite Element Method
Journal of Computational Acoustics, Vol 12, N.3, September 2004.
2 - F. Ben Belgacem, M. Fournié, N. Gmati et F. Jelassi
Comment traiter des conditions aux limites à l’infini pour quelques problèmes extérieurs par la méthode de Schwartz alterné
C. R. Acad. Sci. Paris, Ser. I 336 , 277- 282 (2003).
1 - A.S. Bonnet-Bendhia, N. Gmati
Spectral Approximation of Boundary Condition for an Eigenvalue Problem
SIAM J. NUMER ANAL, Vol 32, N.4, pp 1263-1279, August 1995.
Refereed Conferences
1 - N. GMATI, F. JELASSI et B.PHILIPPE
Gmres preconditioners based on domain decompositions
8th workshop of the ERCIM WG Matrix computations and statistics. Salerno, Italy, september 2006.
2 - C. BEN AMAR, N. GMATI, C. HAZARD, K. RAMDANI
Mathematical and numerical study of a time reversal mirror
The 7th International Conference on Mathematical and Numerical Aspects of Wave Propagation "Waves 2005", Providence, USA, June 2005.
3 - F.BEN BELGACEM, N. GMATI, M.FOURNIE et F. JELASSI
Handling the Boundary conditions at in_nity for some exterior problems by the alternating Schwarz method
The 6th International Conference on Mathematical and Numerical Aspects of Wave Propagation "Waves 2003", Finland, July 2003.
4 - N. GMATI et N. ZRELLI
A domain decomposition method for the Helmholtz equation on an unbounded waveguide
AMRTMA - L'analyse Mathématique et ses applications à l'acoustique et à la mécanique - Fréjus, France, Juin 2002.
5 - A.S.BONNET-BENDHIA, D.DRISSI, N. GMATI
Determination of muffler's transmission losses by homogenization and _nite element method
5th International Conference "Waves 2000", Santiago de Compostela, Espana, July 2000
6 - C.FARHAT, N.GMATI, U.HETMANIUK
An efficient substructuring method for analyzing acoustics in a concentric hole-cavity resonator
5th International Conference "Waves 2000", Santiago de Compostela, Espana, July 2000.
Research Projects
1 - 2017 - Nabil Gmati, Nejib Zemzemi
INRIA team project: EPICARD team co-directed with Nejib Zemzemi, https://team.inria.fr/carmen/research/epicard/
2 - 2011 - Nabil Gmati, Mohamed Jaoua
Mathematics for Development Project: Coordinator for a project funded by the French Ministry of Immigration for National Identity and Solidarity.
3 - 2010 - Nabil Gmati, Eric darrigrand
STIC project: Fast multipole methods and Schwarz methods with overlap for diffraction problems. (ENIT-LAMSIN, INRIA-Rennes)
4 - 2005 - Nabil Gmati, Anne Sophie Bonnet Ben Dhia, Amel Ben Abda.
STIC project: Direct and inverse problems in wave propagation. (ENIT-LAMSIN, INRIA-POEMS)
5 - 2001 - Nabil Gmati, Anne Sophie Bonnet Ben Dhia,
CMCU Project: Numerical and experimental study of wave propagation problems in confined or unbounded environments. (ENIT, National School of Advanced Techniques and University of Maine).
6 - 2000 - Nabil Gmati, Mohamed Jaoua, Kamel Mekki.
PIRD project: Sound study of exhaust silencers, by finite elements. (National School of Engineers of Tunis and ERECA Company)
7 - 1999 - Nabil Gmati, Marc Lenoir.
CNRS-DGRST project: Study of the diffraction problems in acoustics and electromagnetics. (National School of Engineers of Tunis and National School of Advanced Techniques).
8 - 2006 - 2016. Member of thr TREASURE project. (Treatment and Sustainable Reuse of Effluents in semiarid climates).
Research internships and invitations:
1993 Research assistant at the Swiss Federal Institute of Technology in Lausanne (EPFL).
1999 Research internship for a period of four months at the University of Boulder in Colorado. (United States).
1996 - 1998 2 invitations for one month as guest lecturer at the Acoustics Laboratory of the University of Maine (France).
1994- 2003 Several research internships lasting one month in the context of CMCU or CNRS-DGRST projects
at the Simulation and Modeling of propagation phenomena Laboratory of the Ecole Nationale Supérieure
of Advanced Techniques (France).
2004 Research internships within the framework of the associated INRIA éDidon team within the Ondes project.
2014 Guest lecturer for 6 months at Université de Technologie de Compiègne. France.
2014 Guest Researcher for 3 months at Ecole Nationale des techniques Avancees. POEMS Group. France.
2022 Invited speaker, in the KAUST 2022 Statistics workshop. King Abdullah university of science and technology. KSA.