Levelized incomplete LU method and its application to semiconductor device simulation

Author:

Tsai, YT  Lee, CY  Tsai, MK  

Journal:

SOLID-STATE ELECTRONICS

Issue Date:

2000

Abstract(summary):

In circuit simulation, the CPU time is spent in two parts: one is to transfer the circuit equation into the corresponding linear equation Ax = B, the other is to solve this matrix equation. In order to improve the simulation speed and apply our method to mixed-level device and circuit simulation, we propose to simplify the creation of the matrix equation by equivalent subcircuit, and speed up the simulation by levelized incomplete LU factorization [Karl-Michael E, Walter LE. IEEE Trans Comp Aided Des Integ Circ and Sys 1995;14:720.]. The levelized incomplete LU is used to solve Ax = B because it offers, the good convergence of the direct method and the high speed, small memory space of the iteration method. The Ax = B is obtained by transferring the Poisson equation and continuity equation into their equivalent circuits [Leblebici Y, Unlu MS, Morkoc H, Kang SM. IEEE Int Symp Circ and Sys 1992;2:895; 1995;13:396.] to simplify the mixed-level simulation. Finally, we will apply the above methods to the simulation of PN diodes and verify their performance on the simulation and design of semiconductor devices. (C) 2000 Elsevier Science Ltd. All rights reserved.

Page:

1069---1075