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Alexei Lozinski

University of Franche-Comté

France

  • University of Franche-Comté

SCHOLARLY PAPERS

2

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59

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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.

Gap-Sbm: A New Conceptualization of the Shifted Boundary Method with Optimal Convergence for the Neumann and Dirichlet Problems

Number of pages: 29 Posted: 14 Aug 2025
J. Haydel Collins, Kangan Li, Alexei Lozinski and Guglielmo Scovazzi
Duke University, Pennsylvania State University, University of Franche-Comté and Duke University
Downloads 21 (1,436,435)

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Shifted Boundary Method, Immersed Boundary Method, small cut-cell problem, approximate domain boundaries, Neumann boundary conditions, unfitted finite element methods