Numerical comparison between two spherical harmonics expansion models and a kinetic equation. - Jean-Pierre Bourgade; Antoine Mellet; Luc Mieussens (Math. Comput. Model., 2004)

Implicit Schemes for the Fokker-Planck-Landau Equation. - Mohammed Lemou; Luc Mieussens (SIAM J. Sci. Comput., 2005)

Macroscopic Fluid Models with Localized Kinetic Upscaling Effects. - Pierre Degond; Jian-Guo Liu 006; Luc Mieussens (Multiscale Model. Simul., 2006)

A moving interface method for dynamic kinetic-fluid coupling. - Pierre Degond; Giacomo Dimarco; Luc Mieussens (J. Comput. Phys., 2007)

Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics. - Mounir Bennoune; Mohammed Lemou; Luc Mieussens (J. Comput. Phys., 2008)

A Diffusion Model for Rarefied Flows in Curved Channels. - Kazuo Aoki; Pierre Degond; Luc Mieussens; Shigeru Takata; Hiroaki Yoshida (Multiscale Model. Simul., 2008)

A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit. - Mohammed Lemou; Luc Mieussens (SIAM J. Sci. Comput., 2008)

A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. - Pierre Degond; Giacomo Dimarco; Luc Mieussens (J. Comput. Phys., 2010)

Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit. - Jian-Guo Liu 006; Luc Mieussens (SIAM J. Numer. Anal., 2010)

On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models. - Luc Mieussens (J. Comput. Phys., 2013)

Locally refined discrete velocity grids for stationary rarefied flow simulations. - Céline Baranger; Jean Claudel; Nicolas Hérouard; Luc Mieussens (J. Comput. Phys., 2014)

Local discrete velocity grids for deterministic rarefied flow simulations. - Stéphane Brull; Luc Mieussens (J. Comput. Phys., 2014)

An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas. - Giacomo Dimarco; Luc Mieussens; Vittorio Rispoli (J. Comput. Phys., 2014)

A Cartesian cut cell method for rarefied flow simulations around moving obstacles. - Guillaume Dechristé; Luc Mieussens (J. Comput. Phys., 2016)

A robust implicit-explicit acoustic-transport splitting scheme for two-phase flows. - Simon Peluchon; Gérard Gallice; Luc Mieussens (J. Comput. Phys., 2017)

On some explicit local time stepping finite volume schemes for CFD. - G. Jeanmasson; Ivan Mary; Luc Mieussens (J. Comput. Phys., 2019)

Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries. - Céline Baranger; Nicolas Hérouard; Julien Mathiaud; Luc Mieussens (Math. Comput. Simul., 2019)

Development of numerical methods to simulate the melting of a thermal protection system. - Simon Peluchon; Gérard Gallice; Luc Mieussens (J. Comput. Phys., 2022)

An asymptotic preserving kinetic scheme for the M1 model of linear transport. - Jean-Luc Feugeas; Julien Mathiaud; Luc Mieussens; Thomas Vigier (Math. Comput. Simul., 2024)

An asymptotic preserving scheme for the M1model of non-local thermal transport for two-dimensional structured and unstructured meshes. - Jean-Luc Feugeas; Julien Mathiaud; Luc Mieussens; Thomas Vigier (CoRR, 2025)

Generalized UGK scheme in the diffusive. - Julien Mathiaud; Luc Mieussens; Nicolas Crouseilles (CoRR, 2025)