Guillaume Bonnet

SISSA mathLab

via Bonomea, 265
34136 Trieste

Room A-426

I am a postdoctoral researcher in applied mathematics at SISSA, in the group of Andrea Cangiani. I work on virtual elements methods and adaptivity.

Until December 2021, I was a PhD student at Université Paris-Saclay, under the supervision of Jean-Marie Mirebeau and Frédéric Bonnans. During my PhD, I designed and studied monotone finite difference schemes for some degenerate elliptic partial differential equations, such as the Hamilton-Jacobi-Bellman and Monge-Ampère equations, on Cartesian grids, using tools originating from the theory of the geometry of low-dimensional lattices.



Ongoing work

  • Monotone discretization of anisotropic four-dimensional differential operators using Voronoi’s first reduction.
  • Virtual element methods, adaptivity.


  • Finite difference discretization of degenerate elliptic equations using Voronoi’s first reduction, Workshop on the theory and numerics of Mean Field Games and Hamilton-Jacobi equations, June 2022, Rome, Italy.
  • Monotone finite difference discretization of the Monge-Ampère equation of optimal transport, Oberwolfach Workshop on Numerical Methods for Fully Nonlinear and Related PDEs, June 2021, Oberwolfach, Germany.
  • A linear finite difference scheme to approach Randers distances on Cartesian grids, SMAI 2021, June 2021, La Grande-Motte, France. Parallel session: Numerical methods.
  • Efficient discretizations of non-linear and anisotropic PDEs on Cartesian grids, ICIAM 2019, July 2019, Valencia, Spain. Mini-symposium: Anisotropic variational models and anisotropic PDEs.
  • Efficient discretizations of non-linear and anisotropic PDEs on Cartesian grids, Mafelap 2019, June 2019, Brunel University London, UK. Mini-symposium: Numerical methods for nonvariational PDEs.

PhD manuscript


At Université Paris-Saclay, I teached:

Other activities

I was a coorganizer of the CJC-MA 2021 conference for young researchers in France.

Curriculum vitae

I was born in June, 1997.