Publications [#325891] of Jianfeng Lu

Papers Published

1. Li, Q; Lu, J; Sun, W, Half-space kinetic equations with general boundary conditions, Mathematics of Computation, vol. 86 no. 305 (January, 2017), pp. 1269-1301, American Mathematical Society (AMS) [doi]
   (last updated on 2026/01/16)

   Abstract:
   We study half-space linear kinetic equations with general boundary conditions that consist of both given incoming data and various types of reflections, extending our previous work on half-space equations with incoming boundary conditions. As in our previous work, the main technique is a damping adding-removing procedure. We establish the well-posedness of linear (or linearized) half-space equations with general boundary conditions and quasioptimality of the numerical scheme. The numerical method is validated by examples including a two-species transport equation, a multi-frequency transport equation, and the linearized BGK equation in 2D velocity space.