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Monotone discretization of anisotropic differential operators using Voronoi's first reduction

Joseph Frédéric Bonnans , Guillaume Bonnet , Jean-Marie Mirebeau
Constructive Approximation, 2023, ⟨10.1007/s00365-023-09672-y⟩
Article dans une revue hal-03855267v3
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Monotone and second order consistent scheme for the two dimensional Pucci equation

Joseph Frédéric Bonnans , Guillaume Bonnet , Jean-Marie Mirebeau
Numerical Mathematics and Advanced Applications ENUMATH 2019., Sep 2019, Egmond aan Zee, Netherlands. pp 733-742, ⟨10.1007/978-3-030-55874-1_72⟩
Communication dans un congrès hal-02383521v2
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Monotone discretization of the Monge-Ampère equation of optimal transport

Guillaume Bonnet , Jean-Marie Mirebeau
2022
Pré-publication, Document de travail hal-03255797v2
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A linear finite-difference scheme for approximating Randers distances on Cartesian grids

Frédéric Bonnans , Guillaume Bonnet , Jean-Marie Mirebeau
ESAIM: Control, Optimisation and Calculus of Variations, 2022, 28, ⟨10.1051/cocv/2022043⟩
Article dans une revue hal-03125879v3
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Second order monotone finite differences discretization of linear anisotropic differential operators

Frédéric Bonnans , Guillaume Bonnet , Jean-Marie Mirebeau
Mathematics of Computation, 2021, Mathematics of Computation, 90, pp.2671-2703. ⟨10.1090/mcom/3671⟩
Article dans une revue hal-03084046v2
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Monotone discretization of the Monge–Ampère equation of optimal transport

Guillaume Bonnet , Jean-Marie Mirebeau
ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 56 (3), pp.815-865. ⟨10.1051/m2an/2022029⟩
Article dans une revue hal-03651661v1