Preprint 20-2006

A first perturbation result for the modified nodal analysis coupled with non-stationary drift-diffusion

Author(s) : Martin Bodestedt

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 20-2006

MSC 2000

65M99 None of the above, but in this section

34G20 Nonlinear equations

Abstract :
We investigate an integrated circuit model coupling the modified nodal analysis (MNA) equations and the non-stationary drift-diffusion equations. By considering perturbations only in the MNA equations we could obtain a first perturbation estimate, which implies well-posedness, for this partial differential algebraic equation (PDAE). It is assumed that the linear circuit without the semiconductor branch is of index 1, that the diode contacts are connected by a capacitive path and that the semiconductor region is one-dimensional.

Keywords : PDAE, perturbation analysis, index, MNA, drift-diffusion