I am a member of ACUMES Project-Team at INRIA Sophia-Antipolis Méditerranée Center. My research is focused on numerical methods for analysis and optimization of systems governed by PDEs, with particular emphasis to fluid mechanics.

Research interests

  • Sensitivity analysis
  • Isogeometric analysis
  • Surrogate models

Recent papers

  • Sensitivity analysis and numerical diffusion effects for hyperbolic PDE systems with discontinuous solutions. The case of barotropic Euler equations in Lagrangian coordinates, C. Chalons, R. Duvigneau, C. Fiorini, preprint submitted to SIAM Scientific Computing, 2017

  • Isogeometric analysis for compressible flows using a Discontinuous Galerkin method, R. Duvigneau, preprint submitted to Comp. Meth. in Appl. Mech. Eng., 2017

Example pic

Simulation of Kelvin-Helmholtz instability using a fourth-order Discontinuous Galerkin method.