Killian Vuillemot

According to our database, Killian Vuillemot authored at least 5 papers between 2021 and 2026.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2026

φ-FEM-FNO: A new approach to train a Neural Operator as a fast PDE solver for variable geometries.

Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot

Commun. Nonlinear Sci. Numer. Simul., 2026

2025

φ -FD: A Well-conditioned Finite Difference Method Inspired by φ -FEM for General Geometries on Elliptic PDEs.

Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot

J. Sci. Comput., July, 2025

Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries.

Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot

CoRR, February, 2025

2023

phi-FEM for the heat equation: optimal convergence on unfitted meshes in space.

Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot

CoRR, 2023

2021

φ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer.

Stephane Cotin, Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot

CoRR, 2021