Controllability and optimal control of the transport equation with a localized vector field. - Michel Duprez; Morgan Morancey; Francesco Rossi (MED, 2017)

Minimal time problem for discrete crowd models with a localized vector field. - Michel Duprez; Morgan Morancey; Francesco Rossi (CDC, 2018)

Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study. - Michel Duprez; Stéphane P. A. Bordas; Marek Bucki; Huu Phuoc Bui; Franz Chouly; Vanessa Lleras; Claudio Lobos; Alexei Lozinski; Pierre-Yves Rohan; Satyendra Tomar (CoRR, 2018)

Approximate and Exact Controllability of the Continuity Equation with a Localized Vector Field. - Michel Duprez; Morgan Morancey; Francesco Rossi (SIAM J. Control. Optim., 2019)

φ-FEM, a finite element method on domains defined by level-sets: the Neumann boundary case. - Michel Duprez; Vanessa Lleras; Alexei Lozinski (CoRR, 2020)

φ-FEM: A Finite Element Method on Domains Defined by Level-Sets. - Michel Duprez; Alexei Lozinski (SIAM J. Numer. Anal., 2020)

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)

Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model. - Pierre-Alexandre Bliman; Michel Duprez; Yannick Privat; Nicolas Vauchelet (J. Optim. Theory Appl., 2021)

Phi-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations. - Michel Duprez; Vanessa Lleras; Alexei Lozinski (CoRR, 2022)

phi-FEM for the heat equation: optimal convergence on unfitted meshes in space. - Michel Duprez; Vanessa Lleras; Alexei Lozinski; Killian Vuillemot (CoRR, 2023)

Autonomous Guidewire Navigation in Dynamic Environments. - Valentina Scarponi; François Lecomte; Michel Duprez; Florent Nageotte; Stephane Cotin (IROS, 2024)

Enhancing Biomechanical Simulations Based on A Posteriori Error Estimates: The Potential of Dual Weighted Residual-Driven Adaptive Mesh Refinement. - Huu Phuoc Bui; Michel Duprez; Pierre-Yves Rohan; Arnaud Lejeune; Stéphane P. A. Bordas; Marek Bucki; Franz Chouly (CoRR, 2024)

A zero-shot reinforcement learning strategy for autonomous guidewire navigation. - Valentina Scarponi; Michel Duprez; Florent Nageotte; Stéphane Cotin (Int. J. Comput. Assist. Radiol. Surg., 2024)

Enriching continuous Lagrange finite element approximation spaces using neural networks. - Hélène Barucq; Michel Duprez; Florian Faucher; Emmanuel Franck; Frédérique Lecourtier; Vanessa Lleras; Victor Michel-Dansac; Nicolas Victorion (CoRR, 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, 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., 2025)

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)