A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes. - Christophe Berthon; Fabien Marche (SIAM J. Sci. Comput., 2008)

A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model. - P. Bonneton; Florent Chazel; D. Lannes; Fabien Marche; Marion Tissier (J. Comput. Phys., 2011)

Numerical Simulation of Strongly Nonlinear and Dispersive Waves Using a Green-Naghdi Model. - Florent Chazel; D. Lannes; Fabien Marche (J. Sci. Comput., 2011)

A Numerical Scheme for a Viscous Shallow Water Model with Friction. - Olivier Delestre; Fabien Marche (J. Sci. Comput., 2011)

On the well-balanced numerical discretization of shallow water equations on unstructured meshes. - Arnaud Duran; Q. Liang; Fabien Marche (J. Comput. Phys., 2013)

Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes. - Arnaud Duran; Fabien Marche; Rodolphe Turpault; Christophe Berthon (J. Comput. Phys., 2015)

A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations. - D. Lannes; Fabien Marche (J. Comput. Phys., 2015)

A Hybrid High-Order Method for the Cahn-Hilliard problem in Mixed Form. - Florent Chave; Daniele A. Di Pietro; Fabien Marche; Franck Pigeonneau (SIAM J. Numer. Anal., 2016)

Weighted interior penalty discretization of fully nonlinear and weakly dispersive free surface shallow water flows. - Daniele A. Di Pietro; Fabien Marche (J. Comput. Phys., 2018)

Combined Hybridizable Discontinuous Galerkin (HDG) and Runge-Kutta Discontinuous Galerkin (RK-DG) formulations for Green-Naghdi equations on unstructured meshes. - Fabien Marche (J. Comput. Phys., 2020)

A posteriori Finite-Volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations. - Ali Haidar; Fabien Marche; François Vilar (J. Comput. Phys., 2022)

Free-Boundary Problems for Wave-Structure Interactions in Shallow-Water: DG-ALE Description and Local Subcell Correction. - Ali Haidar; Fabien Marche; François Vilar (J. Sci. Comput., 2024)

An ALE Numerical Method for the Waterline Evolution of a Floating Object with Non-linear Shallow-water Equations. - Ali Haidar; Fabien Marche; François Vilar (J. Sci. Comput., 2025)