Vanessa Lleras

13 papers Journal 13
YearRankTypeTitle / Venue / Authors
2026 J jnl
A penalized ϕ-FEM scheme for the Poisson Dirichlet problem.
CoRR
Raphaël Bulle, Michel Duprez, Vanessa Lleras, Killian Vuillemot
2026 J jnl
φ-FEM-FNO: A new approach to train a Neural Operator as a fast PDE solver for variable geometries.
Commun. Nonlinear Sci. Numer. Simul.
Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
2025 J jnl
Enriching continuous Lagrange finite element approximation spaces using neural networks.
CoRR
Hélène Barucq, Michel Duprez, Florian Faucher, Emmanuel Franck, Frédérique Lecourtier, Vanessa Lleras, Victor Michel-Dansac, Nicolas Victorion
2025 J jnl
Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries.
CoRR
Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
2025 J jnl
φ -FD: A Well-conditioned Finite Difference Method Inspired by φ -FEM for General Geometries on Elliptic PDEs.
J. Sci. Comput.
Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
2024 J jnl
φ-FD : A well-conditioned finite difference method inspired by φ-FEM for general geometries on elliptic PDEs.
CoRR
Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
2023 J jnl
phi-FEM for the heat equation: optimal convergence on unfitted meshes in space.
CoRR
Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot
2022 J jnl
Nitsche method for contact with Coulomb friction: Existence results for the static and dynamic finite element formulations.
J. Comput. Appl. Math.
Franz Chouly, Patrick Hild, Vanessa Lleras, Yves Renard
2022 J jnl
Phi-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations.
CoRR
Michel Duprez, Vanessa Lleras, Alexei Lozinski
2021 J jnl
φ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer.
CoRR
Stephane Cotin, Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot
2020 J jnl
φ-FEM, a finite element method on domains defined by level-sets: the Neumann boundary case.
CoRR
Michel Duprez, Vanessa Lleras, Alexei Lozinski
2018 J jnl
Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study.
CoRR
Michel Duprez, Stéphane P. A. Bordas, Marek Bucki, Huu Phuoc Bui, Franz Chouly, Vanessa Lleras, Claudio Lobos, Alexei Lozinski, Pierre-Yves Rohan, Satyendra Tomar
2009 J jnl
Residual Error Estimators for Coulomb Friction.
SIAM J. Numer. Anal.
Patrick Hild, Vanessa Lleras