Boundary conditions effects by Discontinuous Galerkin solvers for   Boltzmann-Poisson models of electron transport
  In this paper we perform, by means of Discontinuous Galerkin (DG) Finite Element Method (FEM) based numerical solvers for Boltzmann-Poisson (BP) semiclassical models of hot electronic transport in semiconductors, a numerical study of reflective boundary conditions in the BP system, such as specular reflection, diffusive reflection, and a mixed convex combination of these reflections, and their effect on the behavior of the solution. A boundary layer effect is observed in our numerical simulations for the kinetic moments related to diffusive and mixed reflection. 
Jose A. Morales Escalante and Irene M. Gamba
cond-mat.mes-hall math.NA