A rapid, stable decoupled algorithm for solving semiconductor hydrodynamic equations

Author

Kato, Akira ; Katada, Mitsutaka ; Kamiya, Toyoharu ; Ito, Toyoki ; Hattori, Tadashi

Author_Institution

Res. Lab., Nippondenso Co. Ltd., Aichi, Japan

Volume

13

Issue

11

fYear

1994

fDate

11/1/1994 12:00:00 AM

Firstpage

1425

Lastpage

1428

Abstract

A rapid, stable decoupled algorithm for solving semiconductor hydrodynamic equations is proposed. First, the Newton iterations to solve each set of equations are omitted. This causes no change in obtained solutions nor in the block convergence. Second, in place of the exact Jacobian matrix, a reduced Jacobian matrix is constructed and used to solve the energy balance equation. This reduced-Jacobian-matrix method is applied to two different hydrodynamic formulations and shown to be very effective, in both formulations, in accelerating the block convergence speed of the decoupled algorithm. The method provides an efficient version of the decoupled algorithm, which is very simple and applicable to a large variety of hydrodynamic formulations

Keywords

convergence of numerical methods; electronic engineering computing; matrix algebra; semiconductor device models; block convergence speed; energy balance equation; rapid decoupled algorithm; reduced Jacobian matrix; semiconductor hydrodynamic equations; stable decoupled algorithm; Acceleration; Central Processing Unit; Convergence; Electrons; Hydrodynamics; Indium tin oxide; Jacobian matrices; Poisson equations; Semiconductor devices; Voltage;

fLanguage

English

Journal_Title

Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0278-0070

Type

jour

DOI

10.1109/43.329272

Filename

329272