Discrete Helmholtz-Hodge Decomposition on Polyhedral Meshes Using Compatible Discrete Operators. - Antoine Lemoine; Jean-Paul Caltagirone; Mejdi Azaïez; Stéphane Vincent (J. Sci. Comput., 2015)

Moment-of-fluid analytic reconstruction on 2D Cartesian grids. - Antoine Lemoine; Stéphane Glockner; Jérôme Breil (J. Comput. Phys., 2017)

Analytic gradient for the moment-of-fluid method in axisymmetric and on general polyhedrons in any dimension. - Antoine Lemoine (J. Comput. Phys., 2020)

Moment-of-fluid analytic reconstruction on 3D rectangular hexahedrons. - Thomas Milcent; Antoine Lemoine (J. Comput. Phys., 2020)

An analytic approach for the moment-of-fluid interface reconstruction method on tetrahedral meshes. - Thomas Milcent; Antoine Lemoine (J. Comput. Phys., 2024)

Compact cell-based Compatible Discrete Operator diffusion scheme on Cartesian AMR mesh. - Alban Vergnaud; Antoine Lemoine; Jérôme Breil (J. Comput. Phys., 2025)