Young Researchers Workshop: Kinetic theory with applications in physical sciences

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

Jose Morales Escalante

TU Wien (Technical University of Vienna)
[SLIDES]

We shall discuss the use of Discontinuous Galerkin (DG) Finite Element Methods to solve Boltzmann - Poisson (BP) models of electron transport in semiconductor devices at nano scales. We consider the mathematical and numerical modeling of Reflective Boundary Conditions in 2D devices and their implementation in DG-BP schemes. We study the specular, diffusive and mixed reflection BC on physical boundaries of the device for the modeling of surface roughness, comparing the influence of these different reflection cases in the computational prediction of moments close to the boundaries and their associated scale.