Numerical methods for the hydrodynamic device model: subsonic flow

Author

Gardner, Carl L. ; Jerome, Joseph W. ; Rose, Donald J.

Author_Institution

Dept. of Comput. Sci. & Math., Duke Univ., Durham, NC, USA

Volume

8

Issue

5

fYear

1989

fDate

5/1/1989 12:00:00 AM

Firstpage

501

Lastpage

507

Abstract

An introduction to the hydrodynamic model for semiconductor devices is presented. Special attention is paid to classifying the hydrodynamic PDEs (partial differential equations) and analyzing their nonlinear wave structure. Numerical simulations of the ballistic diode using the hydrodynamical device model are presented, as an illustrative elliptic problem. The importance of nonlinear block iterative methods is emphasized. Arguments for existence of solutions and convergence of numerical methods are given for the case of subsonic electron flow

Keywords

high field effects; numerical methods; semiconductor device models; ballistic diode; convergence of numerical methods; elliptic problem; existence of solutions; hydrodynamic PDEs; hydrodynamic device model; hydrodynamic model for semiconductor devices; nonlinear block iterative methods; nonlinear wave structure; numerical methods; partial differential equations; subsonic electron flow; subsonic flow; Electric potential; Electrons; Hydrodynamics; Iterative methods; Microelectronics; Nonlinear equations; Poisson equations; Semiconductor devices; Semiconductor diodes; Steady-state;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

0278-0070

Type

jour

DOI

10.1109/43.24878

Filename

24878