Boundary conditions effects by Discontinuous Galerkin solvers for Boltzmann-Poisson models of electron transport

Abstract

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.

appears in Computational Electronics (IWCE), 2014 International Workshop on, Paris, France. (2014). IEEE Xplore Digital Library 6865873.pdf