Toni SAYAH
Faculté des sciences (FS)Unité de recherche : mathématiques et modélisation (UR-MM)
professeur -
(+961) 1 421 000 ext 3373 toni.sayah@usj.edu.lb
1- Formations et titres universitaires
* Habilitation à diriger des recherches en mathématiques, du laboratoire Jacques
Louis-Lions (LJLL) de l'Université Pierre et Marie Curie, Paris VI.
* Thèse de doctorat en mathématiques appliquées, mention très honorable, du
laboratoire d'analyse numérique de l'Université Pierre et Marie Curie, Paris VI.
laboratoire d'analyse numérique de l'Université Pierre et Marie Curie, Paris VI.
* DEA analyse numérique de l'École Polytechnique (Palaiseau 1994).
* Diplôme d'ingénieur, Université Libanaise, (Liban 1993).
1- Parcours professionnel
* Depuis septembre 2013 : professeur au département de mathématiques de la faculté des sciences de l'Université Saint-Joseph de Beyrouth.
* 2000 - 2008 : maître de conférence à la faculté des sciences de l'Université Saint-Joseph de Beyrouth.
* 1995 - 2000 : chercheur à la société IMACS, Ecole Polytechnique, 91128 Palaiseau Cedex, France.
* Diplôme d'ingénieur, Université Libanaise, (Liban 1993).
3- Responsabilités administratives à la faculté des sciences de l'Université Saint-Joseph.
* Depuis septembre 2014 à la FS-USJ : Directeur de l'unité de recherche "UR-MM : Mathématiques et modélisation".
* 2012 - 2014 à la FS-USJ : Responsable du master "Sciences actuarielle et financière".
* 2006 - 2012 : directeur du département de mathématiques.
* 2005 - 2006 : responsable des masters "Sciences actuarielle et financière" et "Analyse numérique : option équations aux dérivées partielles".
* 2002 - 2005 : responsable du master "Mathématiques et informatique pour la nance".
Domaine d’expertise
• Ingénierie et technologie; SciencesThématiques de recherche
Discrétisation des équations aux dérivées partielles et analyse numérique correspondante, avec applications en :
1. Ondes électromagnétiques :
-Méthodes des équations intégrales pour l'étude des problèmes de diffraction des
ondes électromagnétiques par différents types d'obstacles (obstacle conducteur
parfait, obstacle avec conditions d'impédances, obstacle diélectrique, . . .)
-Propagation des ondes électromagnétiques dans des guides d'ondes et étude des
jonctions.
2. Mécanique des fl uides :
-Etudes des estimations d'erreur a priori et a posteriori pour différents types de
problèmes de fluide (Stokes, Navier-Stokes, Fluide de grade deux, Problème de
type convection diffusion réaction. . .) stationnaires et instationnaires.
-Méthode de deux grilles pour les équations de Navier-Stokes.
+ Publications et communications
1- Rim Aldbaissy, Frédéric HECHT, Gihane Mansour, Toni SAYAH and Pierre Henri Tournier, Scalable domain decomposition preconditioner for Navier-Stokes equations coupled with the heat equation, International Journal of Computer Mathematics, https ://doi.org/10.1080/00207160.2021.1925888, (2021).
2- Nancy Chalhoub, Pascal Omnes, Toni Sayah and Rebecca El Zahlaniyeh, A Posteriori error estimates for the time dependent convection-diusion-reaction equation coupled with the Darcy system, "Numerical Algorithms", https ://doi.org/10.1007/s11075-021-01152-3, (2020).
3- Toufi c El Arwadi and Toni Sayah, A new regularization of the D-bar Method with complex conductivity, to Complex Variables and Elliptic Equations, 66(5), pp. 826-842, DOI : 10.1080/17476933.2020.1747056, (2021).
4- Jad Dacroub, Joanna Faddoul and Toni Sayah, A posteriori analysis of the Newton method applied to the Navier-Stokes problem, Journal of applied mathematics and computing, 63, pp. 411-437, DOI : 10.1007/s12190-020-01323-w, (2020).
5- Dayana Dib, Séréna Dib and Toni Sayah, A new numerical scheme for Darcy's problem coupled with the heat equation, Computational and applied mathematics, 39 (1), pp :1-16, DOI : 10.1080/17476933.2020.1747056, (2020).
6- Nancy Chalhoub, Pascal Omnes, Toni Sayah and Rebecca Zahlaniyeh, Full discretization of time dependent convection-diffusion-reaction equation coupled with the Darcy system, CALCOLO, 57(4), pp. 3-28, DOI : 10.1007/s10092-019-0352-1, (2020).
7- Séréna Dib, Vivette Girault, Frédéric Hecht and Toni Sayah, A posteriori error
estimate for Darcy's problem coupled with the heat equation, ESIAM : Mathematical Modelling and Numerical Analysis, 53 (6), pp. 2121-2159, (2019).
estimate for Darcy's problem coupled with the heat equation, ESIAM : Mathematical Modelling and Numerical Analysis, 53 (6), pp. 2121-2159, (2019).
8- Tou fic El Arwadi and Toni Sayah, A Regularization Scheme for 2D Conductivity Imaging by the D-bar Method, Numerical Functional Analysis and Optimization, 40 (12), pp. 1410-1425, DOI :10.1080/01630563.2019.1606011, (2019).
9- Toni Sayah, Adaptive stratifi ed Monte Carlo algorithm for numerical computation of integrals, Mathematics and Computers in Simulation, 157, pp. 143-158, doi.org/10.1016/j.matcom.2018.10.004, (2019).
10- Noura Morcos and Toni Sayah, reduced basis method for the adapted mesh and Monte Carlo methods applied to an elliptic stochastic problem, Computational and Applied Mathematics, 38(93), DOI : 10.1007/s40314-019-0859-8, (2019).
11- Mireille Haddad, Frédéric Hecht, Toni Sayah and Pierre Henri Tournier, Parallel computing investigations for the projection method applied to the interface transport scheme of a two-phase ow by the method of characteristics, Numerical Algorithm, 80(2), pp. 447-467, https ://doi.org/10.1007/s11075-018-0492-4, (2018).
12- Rim Dbaissy, Frédéric Hecht, Gihane Mansour and Toni Sayah, A full discretization of the time-dependent Boussinesq (buoyancy) model with nonlinear viscosity, CLACOLO, 55(44), DOI :10.1007/s10092-018-0285-0 (2018).
13- Séréna Dib, Toni Sayah, Vivette Girault, François Murat, Christine Bernardi and Frédéric Hecht, Finite element method for Darcy's problem coupled with the heat equation, Numerische Mathematik, 139(2), pp. 315-348, DOI10.1007/s00211-017-
0938-y, (2018).
14- Ghina Nassreddine, Toni Sayah, New Results for the A Posteriori Estimates of the Two Dimensional Time Dependent Navier-Stokes Equation, International Journal of Mechanics, 11, pp. 155-165, (2017).
15- Christine Bernardi, Jad Dakroub, Gihane Mansour, Farah Rafei and Toni Sayah, Convergence analysis of two numerical schemes applied to a nonlinear elliptic problem, Journal of Scienti c Computing, 71 (1), DOI : 10.1007/s10915-016-0301-y, (2017).
16- Mireille El Haddad, Frédéric Hecht and Toni Sayah, Interface transport scheme of a two-phase ow by the method of characteristics, International Journal for Numerical Methods in Fluids, DOI :10.1002/ d.4280, 28, 6, (2017), pp 513-543.
17- Christine Bernardi, Jad Dakroub, Gihane Mansour and Toni Sayah, A posteriori analysis of iterative algoriths for Navier-Stokes Problem, ESIAM : Mathematical Modelling and Numerical Analysis, 50 (4), doi :10.1051/m2an/2015062, (2016), pp. 1035-1055.
18- Toufi c El Arwadi and Toni Sayah, An Lp estimate for Dirichlet-to-Neumann operator and application., Electronic Journal of Dierential Equations, Vol. 2015, No.258, pp. 1-8, (2015).
19- Tou fic El Arwadi, Serena Dib and Toni Sayah, A piori and a posteriori estimations of a linear elliptic problem with dynamical boudary condition, 9, 6, doi :10.12785/amis/100121, Journal of Applied Mathematics & Information Sciences, (2015), pp 2205-3317.
20- Christine Bernardi and Toni Sayah, A posteriori error analysis of the time dependent Navier-Stokes equations with mixed boundary conditions, 69, 1, DOI 10.1007/s40324-015-0033-1, SeMA Journal (SEMJ), (2015), pp 1-23.
21- Christine Bernardi, Jad Dakroub, Gihane Mansour and Toni Sayah, A posteriori analysis of iterative algorithms for a nonlineair problem, Journal of Scienti c Computing, 65, 2, DOI 10.1007/s10915-014-9980-4, (2015), pp 672-697.2
22- Christine Bernardi and Toni Sayah, A posteriori error analysis of the time dependent Stokes equations with mixed boundary conditions, IMA J Numer Anal, 35, 1, 2015, doi : 10.1093/imanum/drt067(2012), pp 179-198.
23- Fida El Chami, Gihane Mansour et Toni Sayah, Error studies of the Coupling
Darcy-Stokes systems with velocity-pressure formulation, CALCOLO, 49, Issue 2 (2012), Page 73-93.
24- Hyam Abboud, Fida El Chami et Toni Sayah, A priori and a posteriori estimates for three-dimensional Stokes equations with non standard of boundary conditions, Numerical Methods for Partial Differential Equations, Volume 28, (2012), pp 1178-1193.
25- Hyam Abboud, Fida El Chami et Toni Sayah, Error estimates for three-dimensional Stokes problem with non-standard boundary conditions, C. R. Acad. Sci. Paris, Ser. I 349, (2011), pp. 523-528.
26- Tou c Abboud et Toni Sayah, Retarded Potential Method for Computational Electromagnetics,
Proceedings of AP2000 Millennium Conference on Antennas & Propagation,
Davos-Switzerland, April 9-14, 2000. ESA Publication, CD-ROM SP-444.
Proceedings of AP2000 Millennium Conference on Antennas & Propagation,
Davos-Switzerland, April 9-14, 2000. ESA Publication, CD-ROM SP-444.
27- Fida El Chami et Toni Sayah, A posteriori error estimators for the fully discrete time dependent Stokes problem with some different boundary conditions , CALCOLO, 47 (2010), pp 169-192.
28- Hyam Abboud, Vivette Girault et Toni Sayah, A second order accuracy in time for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme, Numerische Mathematik, 14, 2 (2009) pp. 189-231.
29- Hyam Abboud et Toni Sayah, Upwind discretisation of a time-dependent two dimensional grade-two uid model, Computers & Mathematics with applications, 57 (2009), pp. 1249-1264.
30- Hyam Abboud et Toni Sayah, A full discretization of the time-dependent Navier-Stokes by two-grid scheme, ESIAM : Mathematical Modelling and Numerical Analysis, vol. 42, No. 1 (2008), pp 141-174.
31- Hyam Abboud, Vivette Girault et Toni Sayah, Two-grid scheme for the fully discrete time-dependent Navier-Stokes problem, C. R. Acad. Sci. Paris , ser.I 341
(2005), pp 451-456.
32- Toni Sayah et Badih Azar, Eect of Junction on Electromagnetic Waveguide transmission, Mathematica Balkanica, vol. 18, No 3-4 (2004), pp 443-452.
33- Toni Sayah et Badih Azar, Coupling finite element method-modal expansion method for the junction of electromagnetic waveguides, International journal of applied mathematics, vol. 12, No 3 (2003), pp 221-234.
34- Toufi c Abboud et Toni Sayah, Discretisation of the Engquist-Nedelec approximation of thin layer, International journal of computational and numerical analysis and applications, vol. 3, No 3, (2003), pp 249-261.
35-Toni Sayah, Boundary conditions for the electromagnetic scattering by thin layers, International journal of applied mathematics, vol. 11, No 2 (2002), pp 121-136.
36- Toufi c Abboud et Toni Sayah, Retarded Potential Method for Computational Electromagnetics, Proceedings of AP2000 Millennium Conference on Antennas & Propagation, Davos-Switzerland, April 9-14, 2000. ESA Publication, CD-ROM SP-444.
37- Tou ic Abboud et Toni Sayah, The retarded potential method for computational electromagnetics, Proceedings of the 3rd European Conference on Numerical Mathematics and Advanced Applications, Jyvskyl, Finland, July 26-30, 1999, ed. by P. Neittaanmki, T. Tiihonen and P. Tarvainen, World Scienti c, Singapore, 2000, pp. 198-205.
38- Tou fic Abboud, Joseph El Gharib, Jean Claude Nédélec et Toni Sayah, An accelerated retarded potential method for the time dependent wave scattering , ASME 15th Biennal Conference on Mechanical Vibration and Noise, Boston, septembre 1995, pp. 3-8.
+ Prix et distinctions
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