Nonlinear compressive reduced basis approximation : when Taylor meets Kolmogorov
Optical tomography for time-dependant radiative transfert equation
submitted / under review / in revision
accepted/published in peer-reviewed journals
2025Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators with E. Franck, R. Hild, V. Michel-Dansac and V. Vigon in Comm. in Nonlinear Sci. and Num. Sim. DOI | arXiv | HAL
2024An optimal control framework for adaptive neural ODEs with O. Mula. in Adv. in Comp. Math. DOI | arXiv | HAL
2021A hybrid-dimensional compositional two-phase flow in fractured porous media with phase transitions and Fickian diffusion, with J.-R. de Dreuzy, R. Masson & L. Trenty in Journal of Comp. Physics. DOI | HAL
2019Two-phase Discrete Fracture Matrix models with linear and nonlinear transmission conditions with K. Brenner, J. Hennicker, R. Masson & Trenty L. in GEM - International Journal on Geomathematics, 10(1). DOI | HAL
2018An Advection-Robust Hybrid High-Order Method for the Oseen Problem with D. A. Di Pietro in Journal of Scientific Computing, 77, 1310-1338. DOI | HAL
2018Exponential Differential Operators for Singular Integral Equations and Space Fractional Fokker-Planck equation, with A. Aghili in Boletim da Sociedade Paranaense de Matemática, 36, 223–233. DOI
2017An hp-Hybrid High-Order method for variable diffusion on general meshes. with D.A. Di Pietro and B. Ruffini in Comput. Meth. Appl. Math., 17, 359–376. DOI | HAL
2015Hybridization of mixed high-order methods on general meshes and application to the Stokes equations with S. Boyaval & D.A. Di Pietro in Comput. Meth. Appl. Math., 15, 111–134. DOI | HAL
proceedings
2025A Dynamical Neural Galerkin Scheme for Filtering Problems with J. Z. Atokple, M. Billaud-Friess, G. Garnier, O. Mula and N. Tognon. ESAIM: PROCEEDINGS AND SURVEYS, 2025, Vol. 81, p. 2-15. arXiv | HAL | DOI
2018Hybrid Finite Volume discretization of two-phase Discrete Fracture Matrix models with nonlinear interface solver with K. Brenner, J. Hennicker, R. Masson & L. Trenty ECMOR XVI. EAGE Publications BV. DOI
thesis
2016Numerical resolution of partial differential equations with variable coefficientPh.D thesis