Regis Duvigneau
Researcher in Scientific Computing

I am Research Director 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 PDEs, with particular emphasis to fluid mechanics.

Academic background
Some recent achievements
Isogeometric analysis

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

J. Comp. Phys. 2021

Comp. Meth. Appl. Mech. Eng. 2022

Bayesian optimization

I investigate Bayesian algorithms for the optimization of complex systems subject to uncertainty.

Ref: J. Fluids & Struct. 2017

Struct. & Multidisc. Opt. 2018

Int. J. Uncert. Quant. 2021

Machine learning for fluids

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

Inria Research Report RR-9520

Sensitivity analysis

I study methods for sensitivity analysis, focusing on hyperbolic systems including discontinuities, and time-dependent high-order sensitivities.

Ref:SIAM Sc. Comp., 2018

Num. Meth. PDEs, 2020

SIAM Sc. Comp. 2021


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).

Demo movie

Other activities