F. Golse et A. Klar, A NUMERICAL-METHOD FOR COMPUTING ASYMPTOTIC STATES AND OUTGOING DISTRIBUTIONS FOR KINETIC LINEAR HALF-SPACE PROBLEMS, Journal of statistical physics, 80(5-6), 1995, pp. 1033-1061
Linear half-space problems can be used to solve domain decomposition p
roblems between Boltzmann and aerodynamic equations. A new fast numeri
cal method computing the asymptotic states and outgoing distributions
for a linearized BGK half-space problem is presented. Relations with t
he so-called variational methods are discussed. In particular, we stre
ss the connection between these methods and Chapman-Enskog type expans
ions.