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Jad DABAGHI
Postdoctoral researcher in applied mathematics
Ecole des Ponts ParisTech, CERMICS
8 Avenue Blaise Pascal, 77420 Champs-sur-Marne
e-mail: jad.dabaghi@enpc.fr



Express CV

  • April 2021- : Postdoctoral position at Ecole des Ponts ParisTech, CERMICS, supervised by Virginie Ehrlacher . This postdoctoral program is supported by the ANR project COMODO .

  • In this postdoctoral position, I developped a structure preserving reduced order model for the resolution of cross-diffusion systems. The goal is to treat the cross-diffusion system arising within the PVD process dedicated to the fabrication of solar cells.

  • September 2019 - February 2021 : Postdoctoral position at CEA Paris-Saclay & Sorbonne Université, supervised by Andrea Zoia and Yvon Maday .
    This postdoctoral program was supported by the ANR project Ciné-Para .


  • In this postdoctoral position, I developped a hybrid parareal algorithm for parabolic problems and for the kinetic neutron transport problem. The goal is to speed up a Monte-Carlo resolution for time-dependent problems using a parallel-in-time approach.

  • November 2015 - June 2019 : PhD position at INRIA Paris and Sorbonne Université supervised by Martin Vohralik and Vincent Martin . This PhD program was supported by the project ERC GATIPOR .
    PhD Thesis [ manuscript ].
    Defense slides [ slides ].

  • In this PhD thesis, I derived a posteriori error estimates including adaptive stopping criteria for variational inequalities. I studied problems in contact mechanics and a multiphase multicomponent flow in porous media describing the storage of radioactive wastes in deep geological layers.


    Research interests


    Publications

    [1] J. Dabaghi, and G. Delay, A unified framework for high-order numerical discretizations of variational inequalities. Computers & Mathematics with Applications (2021). Journal version , preprint .

    [2] J. Dabaghi, V. Martin, and M. Vohralik, Adaptive inexact semismooth Newton methods for the contact problem between two membranes. J. Sci. Comput. (2020). DOI 10.1007/s10915-020-01264-3. Journal version , preprint .

    [3] J. Dabaghi, V. Martin, and M. Vohralik, A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities. Comput. Methods Appl. Mech. Engrg. 367 (2020), 113105. Journal version , preprint .

    [4] I. Ben Gharbia, J. Dabaghi, V. Martin, and M. Vohralik, A posteriori error estimates and adaptive stopping criteria for a compositional two-phase flow with nonlinear complementarity constraints. Comput. Geosci. 24 (2020), 1031-1055. DOI 10.1007/s10596-019-09909-5 . Journal version , preprint .

    [5] J. Dabaghi, V. Ehrlacher, and C. Strossner, Computation of the self-diffusion coefficient with low-rank tensor methods: application to the simulation of a cross-diffusion system. Esaim: Proceedings and Surveys, (2022). preprint .




    Papers submitted

    • J. Dabaghi, Y. Maday, and A. Zoia, A hybrid parareal Monte-Carlo algorithm for parabolic problems. In revision in Journal of Computational and Applied Mathematics (2022). preprint .

    • J. Dabaghi, V. Ehrlacher, and C. Strossner, Tensor approximation of the self-diffusion matrix of tagged particle processes. Submitted in Journal of Computational Physics (2022). preprint .

    • J. Dabaghi and V. Ehrlacher, Structure-preserving reduced order model for parametric cross-diffusion systems. Submitted in ESAIM: Mathematical Modelling and Numerical Analysis (2022). preprint .



    Papers in preparation

    • J. Dabaghi, Y. Maday, and A. Zoia, A hybrid parareal algorithm for the Boltzmann equation in neutronics, in preparation (2022).

    • J. Dabaghi, V. Ehrlacher, and C. Strossner, A finite volume scheme for the resolution of hydrodynamic limits of multi-species exclusion processes, in preparation (2022).



    Codes



    Some numerical results




    Scientific stays



    Collaborations






    International conferences


    • SIAM Conference on Uncertainty Quantification (UQ22) (Atlanta, USA, April 2022) [Slides].

    • SimRace (Rueil-Malmaison, France, December 2021).

    • European Finite Element Fair 18 (Paris, France, September 2021).

    • WCCM 2021 (Paris, France, January 2021). [Slides].

    • CANUM 2020 (Paris, France, December 2020). [Slides].

    • GS19 SIAM 2019 (Houston, USA, March 2019). [Slides]

    • WCCM 2018 (New-York City, USA, July 2018). [Slides]

    • CMWR 2018 (Saint Malo, France, June 2018). [Poster]

    • INTERPORE 2018 (New Orleans, USA, May 2018). [Slides]

    • ENUMATH 2017 (Voss, Norway, September 2017). [Slides]

    • ADMOS 2017 (Verbania, Italy, June 2017). [Slides]

    • European Finite Element Fair (Milan, Italy, May 2017). [Slides]

    • ECMOR XV (Amsterdam, Netherlands, September 2016).



    Seminars


    • CERAMATHS seminar, Université Polytechnique Hauts-de-France (Valenciennes, France, April 2022) [Slides].

    • Seminar Mathematics-Physics, Institut Mathématique de Bourgogne (Dijon, France, March 2022) [Slides].

    • Laboratoire Paul Painlevé (Lille, France, January 2022) [Slides].

    • LAMPS (Perpignan, France, January 2022) [Slides].

    • GTNUM-CEA DAM (Bruyères-le-Châtel, France, November 2021) [Slides].

    • CEMRACS-CIRM (Luminy, France, August 2021) [Slides].

    • MAP5-Université Paris Descartes (February 2021). [Slides]

    • LMB-Université Besancon (January 2021). [Slides]

    • ACSIOM-Université Montpellier (December 2020). [Slides]

    • LMAC-UTC Compiègne (May 2019). [Slides]

    • IFPEN-INRIA meeting (November 2018). [Slides]

    • Serena team, internal seminar, INRIA Paris (February 2016)



    Teaching activities

    • Series and integration at Ecole Supérieure d'Ingénieur Léonard de Vinci (ESILV): (2022) [webpage]

    • Calculus at Sorbonne Université (UPMC): (2016-2017) [webpage]

    • Matrix calculation at Sorbonne Université (UPMC): (2016-2017) [webpage]

    • Numerical methods for ordinary differential equations at Sorbonne Université (UPMC): (2019-2020) [webpage]

    • Numerical Analysis at Sorbonne Université (UPMC): (2020-2021)