Residual Error Estimators for Coulomb Friction. - Patrick Hild; Vanessa Lleras (SIAM J. Numer. Anal., 2009)

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)

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: 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)

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)

Nitsche method for contact with Coulomb friction: Existence results for the static and dynamic finite element formulations. - Franz Chouly; Patrick Hild; Vanessa Lleras; Yves Renard (J. Comput. Appl. Math., 2022)

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

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)