Monte Carlo hardware simulator for electron dynamics in semiconductors. Part II: A parallel approach to the Poisson equation solution

Abstract

This paper addresses the need of a high-speed hardware solver for a partial differential equation of the second order, with application to Poisson's equation. The solution presented will be a part of a hardware device simulator using the Monte Carlo method. We present simulation results to demonstrate the advantage of a parallel computing solution using the finite differences method over a classic Gauss-Seidel iteration process.