I am senior researcher (Directeur de Recherche) in Acumes, joined project-team from Inria Centre at Université Côte d'Azur and Jean-Alexandre Dieudonné mathematics laboratory. My research is focused on numerical methods for analysis and optimization of systems governed by partial differential equations, with particular emphasis to fluid mechanics.
I develop NURBS-based Discontinuous Galerkin schemes, allowing exact-geometry simulations for compressible Euler and Navier-Stokes equations, including local refinement, shock capturing, arbitrary Lagrangian-Eulerian formulation and sliding grid.
Ref: Comp. Meth. Appl. Mech. Eng. 2018
Int. J. Num. Meth. in Fluids 2020
Comp. Meth. Appl. Mech. Eng. 2022
I investigate Bayesian algorithms for the optimization of complex systems subject to uncertainty.
Struct. & Multidisc. Opt. 2018
I investigate machine learning algorithms, in particular Physics-Informed Neural Networks, for parametric surrogate modeling, multi-physics coupling and hidden physics inference.
Ref: Comp. Graphics Forum, 2023
I study methods for sensitivity analysis, focusing on hyperbolic systems including discontinuities, and time-dependent high-order sensitivities.
Ref: SIAM Sc. Comp., 2018
I develop the IGLOO software suite for isogeometric simulations, that targets a seamless CAD-analysis integration. This software is distributed under the GNU General Public License v3 (code repository).