@article{f4241b1afbdd4c2ea4dc76ba716d42bb,
title = "Numerical Methods for the Hydrodynamic Device Model: Subsonic Flow",
abstract = "An introduction to the hydrodynamic model for semiconductor devices is presented. Special attention is paid to classifying the hydrodynamic PDE's and analyzing their nonlinear wave structure. Numerical simulations of the ballistic diode using the hydrodynamic 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.",
author = "Gardner, {Carl L.} and Jerome, {J. W.} and Rose, {Donald J.}",
note = "Funding Information: Manuscript received August 5, 1988; revised December 11, 1988. C. L. Gardner was supported in part by the Office of Naval Research under Contract N00014-85-K-0487 and by the Microelectronics Center of North Carolina. J. W. Jerome was supported in part by the National Science Foundation under Grant DMS-872-1742, D. J. Rose was supported in part by the Office of Naval Research under Contract N00014-85-K-0487, by the Microelectronics Center of North Carolina, and by AT&T Bell Laboratories. The review of this paper was recommended by Guest Editor M. Pinto. C. L. Gardner and D. J. Rose are with the Computer Science and Mathematics Department, Duke University, Durham, NC 27706. J. W. Jerome is with the Department of Mathematics, Northwestern University, Evanston, 1L 60208. IEEE Log Number 8826358.",
year = "1989",
month = may,
doi = "10.1109/43.24878",
language = "English (US)",
volume = "8",
pages = "501--507",
journal = "IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems",
issn = "0278-0070",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "5",
}