A primal formulation for the Helmholtz decomposition. - Etienne Ahusborde; Mejdi Azaïez; Jean-Paul Caltagirone (J. Comput. Phys., 2007)

Tracking Fronts in One and Two-phase Incompressible Flows Using an Adaptive Mesh Refinement Approach. - Stephanie Delage-Santacreu; Stéphane Vincent; Jean-Paul Caltagirone (J. Sci. Comput., 2009)

Eulerian-Lagrangian multiscale methods for solving scalar equations - Application to incompressible two-phase flows. - Stéphane Vincent; Guillaume Balmigère; Jean-Paul Caltagirone; Erick Meillot (J. Comput. Phys., 2010)

Augmented Lagrangian and penalty methods for the simulation of two-phase flows interacting with moving solids. Application to hydroplaning flows interacting with real tire tread patterns. - Stéphane Vincent; Arthur Sarthou; Jean-Paul Caltagirone; Fabien Sonilhac; Pierre Février; Christian Mignot; Grégoire Pianet (J. Comput. Phys., 2011)

A new fast method to compute saddle-points in constrained optimization and applications. - Philippe Angot; Jean-Paul Caltagirone; Pierre Fabrie (Appl. Math. Lett., 2012)

A fast vector penalty-projection method for incompressible non-homogeneous or multiphase Navier-Stokes problems. - Philippe Angot; Jean-Paul Caltagirone; Pierre Fabrie (Appl. Math. Lett., 2012)

A subgrid computation of the curvature by a particle/level-set method. Application to a front-tracking/ghost-fluid method for incompressible flows. - Pierre Trontin; Stéphane Vincent; Jean-Luc Estivalezes; Jean-Paul Caltagirone (J. Comput. Phys., 2012)

Fast discrete Helmholtz-Hodge decompositions in bounded domains. - Philippe Angot; Jean-Paul Caltagirone; Pierre Fabrie (Appl. Math. Lett., 2013)

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

Application of discrete mechanics model to jump conditions in two-phase flows. - Jean-Paul Caltagirone (J. Comput. Phys., 2021)

A phase inversion benchmark for multiscale multiphase flows. - Jean-Luc Estivalezes; Wojciech Aniszewski; Franck Auguste; Yue Ling; Ludovic Osmar; Jean-Paul Caltagirone; Leonardo Chirco; Annaïg Pedrono; Stéphane Popinet; Alain Berlemont; Jacques Magnaudet; Thibaut Ménard; et al. (J. Comput. Phys., 2022)