Publications

in preparation

submitted / under review / in revision

• 2026 Asymptotic gauge-invariant Hybrid High-Order method for magnetic Schrödinger equations | arXiv | HAL
• 2026 Data-efficient extraction of optical properties from 3D Monte-Carlo TPSFs using Bi-LSTM transfer learning, with R. Imbach, A. Pallarès, P. Schmitt, W. Uhring | arXiv | HAL
• 2026 Nonlinear compressive reduced basis approximation : when Taylor meets Kolmogorov, with H. Ballout, Y. Maday, C. Prud’homme | arXiv | HAL

accepted/published in peer-reviewed journals

• 2025 Accelerating 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
• 2024 An optimal control framework for adaptive neural ODEs with O. Mula. in Adv. in Comp. Math. DOI | arXiv | HAL
• 2021 A 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
• 2019 Two-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
• 2018 An 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
• 2018 Exponential 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
• 2017 An 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
• 2015 Hybridization 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

• 2025 A 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
• 2018 Hybrid 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

• 2016 Numerical resolution of partial differential equations with variable coefficient Ph.D thesis

Duties

• Since 2026 — PI of the ANR project INFERNO
• Since 2025 — Member of the ANR JNLG
• Since 2024 — Member of the ANR SMEAGOL
• Since 2023 — Member of the PEPR NUMPEX
• Since 2023 — Member of the PEPR IA
• 2021–2026 — In charge of the MoCo seminar at IRMA, Univ. Strasbourg.

Supervision

Ph.D students

• Pierre-Antoine Senger (2026-): Modélisation mathématique, simulation et réduction d’ordre : construire le jumeau numérique du LNCMI-G with C. Trophime (LNCMI) and C. Prud’homme (Unistra), funded by ANR JNL-G.
• Hassan Ballout (2024-): Méthodes de Base Réduite Non Linéaire Compressive pour les φquations Paramétrées de Navier-Stokes Incompressibles en Régime de Turbulence with Y. Maday (Sorbonne U.) and C. Prud’homme (Unistra), funded by Numpex Exa-ma.

Postdocs and Research Engineers

• Rémi Imbach (2023-2024), ANATROT project, with A. Pallarès, P. Schmitt, W. Uhring (ICube), funded by ITI IRMIA++.

Master students

• Master thesis of Abdou Wade (M2 CSMI), Problème inverse pour la tomographie optique, funded by PEPR-Maths Vives, August 2025.

- Master thesis of Hussein Alharakeh (M2 MF), From simplicial to polytopal discrete finite element complexes, Sept 2023.