Perturbation analysis of the MNA equations coupled with the drift-diffusion equations
Abstract
We perform a perturbation analysis on a coupled system modeling an integrated circuit. The modified nodal analysis equations are coupled with the drift-diffusion equations. An index 1 estimate is proven under the assumptions that the network graph contains neither loops of voltage sources and capacitors nor cutsets of current sources and inductors. Additionally, it is assumed that the Dirichlet boundaries of the drift-diffusion modeled region are connected by capacitive paths. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)