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20092026
most citedOn the Asymptotic Preserving property of the Unified Gas Kinetic Scheme for the diffusion limit of linear kinetic models

110 citations · 447 across the 17 of their papers we have counts for

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math.NA2009

Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit

Jian-Guo Liu, Luc Mieussens

We present a mathematical analysis of the asymptotic preserving scheme proposed in [M. Lemou and L. Mieussens, SIAM J. Sci. Comput., 31, pp. 334-368, 2008] for linear transport equ…

math-ph2009★ 79 cited

A Multiscale Kinetic-Fluid Solver with Dynamic Localization of Kinetic Effects

Pierre Degond, Giacomo Dimarco, Luc Mieussens

This paper collects the efforts done in our previous works [P. Degond, S. Jin, L. Mieussens, A Smooth Transition Between Kinetic and Hydrodynamic Equations, J. Comp. Phys., 209 (20…