Guillaume Bonnet

Publications

G. B., A. Cangiani, A. Dedner, and R. H. Nochetto, Virtual element methods for a class of fully nonlinear elliptic PDEs. arXiv preprint arXiv:2607.03850, 2026. arXiv preprint

G. B. and Y. A. Rubinstein, Quantitative Stability and Numerical Resolution of the Moment Measure Problem. arXiv preprint arXiv:2604.09914, 2026. arXiv preprint

G. B., A. Cangiani, and R. H. Nochetto, Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients. Math. Models Methods Appl. Sci., 35(01):75–112, 2025. journal version arXiv preprint

J. F. Bonnans, G. B., and J.-M. Mirebeau, Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction. Constr. Approx., 61(2):285–345, 2025. journal version HAL preprint

G. B. and J.-M. Mirebeau, Monotone discretization of the Monge–Ampère equation of optimal transport. ESAIM Math. Model. Numer. Anal., 56(3):815–865, 2022. journal version HAL preprint code

J. F. Bonnans, G. B., and J.-M. Mirebeau, A linear finite-difference scheme for approximating Randers distances on Cartesian grids. ESAIM Control Optim. Calc. Var., 28, 45, 2022. journal version HAL preprint

J. F. Bonnans, G. B., and J.-M. Mirebeau, Second order monotone finite differences discretization of linear anisotropic differential operators. Math. Comp., 90(332):2671–2703, 2021. journal version HAL preprint

J. F. Bonnans, G. B., and J.-M. Mirebeau, Monotone and Second Order Consistent Scheme for the Two Dimensional Pucci Equation. In F. J. Vermolen and C. Vuik, editors, Numerical Mathematics and Advanced Applications ENUMATH 2019, pp. 733–742. Springer, 2021. proceedings version HAL preprint

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See also my PhD manuscript: Monotone finite difference discretization of degenerate elliptic partial differential equations using Voronoi’s first reduction.