66 citations · 292 across the 31 of their papers we have counts for
3 papers · 1 filter
Duality-based Asymptotic-Preserving method for highly anisotropic diffusion equations
Pierre Degond, Fabrice Deluzet, Alexei Lozinski +2
The present paper introduces an efficient and accurate numerical scheme for the solution of a highly anisotropic elliptic equation, the anisotropy direction being given by a variab…
On discretization in time in simulations of particulate flows
Matthieu Hillairet, Alexei Lozinski, Marcela Szopos
We propose a time discretization scheme for a class of ordinary differential equations arising in simulations of fluid/particle flows. The scheme is intended to work robustly in th…
Kinetic models for dilute solutions of dumbbells in non-homogeneous flows revisited
Pierre Degond, Alexei Lozinski, Robert G. Owens
We propose a two fluid theory to model a dilute polymer solution assuming that it consists of two phases, polymer and solvent, with two distinct macroscopic velocities. The solvent…