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Michel Duprez

Inria Nancy

SCHOLARLY PAPERS

2

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Scholarly Papers (2)

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1.

Φ-Fem-Fno: A New Approach to Train a Neural Operator as a Fast Pde Solver for Variable Geometriesp, Li { White-Space: Pre-Wrap;

Number of pages: 48 Posted: 27 Feb 2025
Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon and Killian Vuillemot
Inria Nancy, University of Montpellier, University of Franche-Comté, University of Strasbourg and University of Montpellier
Downloads 38 (1,209,354)

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Partial differential equations, Fourier neural operator, Unfitted Finite element method, Varying geometry

2.

Residual based a posteriori error analysis for φ-FEM

Number of pages: 99 Posted: 01 Jun 2026
Roland Becker, Raphaël Bulle, Michel Duprez and Vanessa Lleras
affiliation not provided to SSRN, Inria Nancy, Inria Nancy and University of Montpellier
Downloads 3 (1,579,934)

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FEM, Immersed boundary methods, a posteriori error estimation, Level-set, PDE