Home page of Jad Dabaghi

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

Supervised by Virginie Ehrlacher
Postdoctoral program supported by ANR project COMODO .

Previous position

Postdoctoral position (CEA Paris-Saclay & Sorbonne Université) in applied mathematics (09/2019 - 02/2021)
Supervised by Andrea Zoia and Yvon Maday .
Postdoctoral program supported by ANR project Ciné-Para .

PhD Position

PhD student (INRIA Paris & Sorbonne Université) in applied mathematics (11/2015 - 06/2019).
Supervised by Martin Vohralik and Vincent Martin .
PhD program supported by ERC GATIPOR .
PhD Thesis [ manuscript ].
Defense slides [ slides ].

Research interests

Numerical analysis of PDEs

A posteriori error estimates

Variational inequalities (contact mechanics, multiphase flow in porous media)

Parallel-in-time methods, reduced basis methods

Random process (Monte Carlo methods, diffusion equation, neutronic)

Optimisation

Publications

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

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 .

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 .

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 .

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 (2021). preprint .

J. Dabaghi, V. Ehrlacher, and Christoph Strossner Computation of the self-diffusion coefficient with low-rank tensor methods: application to the simulation of a cross-diffusion system. Submitted in Esaim: Proceedings and Surveys, (2021). preprint .

Papers in preparation

J. Dabaghi, Y. Maday, and A. Zoia, A hybrid parareal algorithm for the Boltzmann equation in neutronics, in preparation (2021).

J. Dabaghi, and V. Ehrlacher, Entropy-diminishing reduced basis method for cross-diffusion systems, in preparation (2021).

J. Dabaghi, V. Ehrlacher, and Christoph Strossner Computation of the auto-diffusion coefficient of a cross-diffusion system with low-rank tensor methods, in preparation (2021).

Scientific stays

IMAG: invited by Prof Daniele Di Pietro , University of Montpellier, November 2021, France.

CEMRACS, July-August 2021, Luminy, France.
Research project: Computation of the auto-diffusion coefficient for a cross diffusion problem with tensor methods.
In collaboration with Virginie Ehrlacher and Christoph Strossner