Regis Duvigneau
Researcher in Scientific Computing

I am permanent researcher in Acumes, joined project-team from Inria Sophia-Antipolis Méditerranée Center and Jean-Alexandre Dieudonné mathematics lab at Université Côte d'Azur.
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 and arbitrary Lagrangian-Eulerian formulation.

Ref: Comp. Meth. Appl. Mech. Eng. 2018

Int. J. Num. Meth. in Fluids 2020

J. Comp. Phys. 2021

Bayesian optimization

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

Ref: J. Fluids & Struct. 2017

Struct. & Multidisc. Opt. 2018

Sci. Rep. 2019

Int. J. Uncert. Quant. 2021

Sensitivity analysis

I study numerical methods for sensitivity analysis of PDE systems using a continuous approach, with a particular focus on hyperbolic systems including discontinuities, and time-dependent high-order sensitivities.

Ref: SIAM Sc. Comp. 2018

Num. Meth. PDE 2020

Software

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
Contact