A parallel block iterative method for the hydrodynamic device model

Carl Gardner, Paul J. Lanzkron, Donald J. Rose

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Block iterative methods are applied to hydrodynamic simulations of a one-dimensional submicrometer semiconductor device. It is shown that block successive underrelaxation (SUR) converges with a fixed relaxation factor ω = 0.13 for simulations at 300 K and ω = 0.04 at 77 K. To demonstrate the robustness of the block iterative method, numerical simulations of a steady-state electron shock wave in Si at 300 K for a 0.1-μm channel and at 77 K for a 1.0-μm channel are presented. The block SUR method is parallelizable if each diagonal block solve can be done efficiently in parallel. Using chaotic relaxation and the preconditioned conjugate gradient method for the parallel diagonal block solves, a parallel speed up of approximately 2.5 is obtained on 10 processors of a Butterfly GP-1000.

Original languageEnglish (US)
Pages (from-to)1187-1192
Number of pages6
JournalIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Volume10
Issue number9
DOIs
StatePublished - Sep 1991
Externally publishedYes

Fingerprint

Iterative methods
Hydrodynamics
Conjugate gradient method
Semiconductor devices
Shock waves
Electron energy levels
Computer simulation

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Hardware and Architecture
  • Electrical and Electronic Engineering

Cite this

A parallel block iterative method for the hydrodynamic device model. / Gardner, Carl; Lanzkron, Paul J.; Rose, Donald J.

In: IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, Vol. 10, No. 9, 09.1991, p. 1187-1192.

Research output: Contribution to journalArticle

@article{706fc72b70154d889d3e7e92faea663c,
title = "A parallel block iterative method for the hydrodynamic device model",
abstract = "Block iterative methods are applied to hydrodynamic simulations of a one-dimensional submicrometer semiconductor device. It is shown that block successive underrelaxation (SUR) converges with a fixed relaxation factor ω = 0.13 for simulations at 300 K and ω = 0.04 at 77 K. To demonstrate the robustness of the block iterative method, numerical simulations of a steady-state electron shock wave in Si at 300 K for a 0.1-μm channel and at 77 K for a 1.0-μm channel are presented. The block SUR method is parallelizable if each diagonal block solve can be done efficiently in parallel. Using chaotic relaxation and the preconditioned conjugate gradient method for the parallel diagonal block solves, a parallel speed up of approximately 2.5 is obtained on 10 processors of a Butterfly GP-1000.",
author = "Carl Gardner and Lanzkron, {Paul J.} and Rose, {Donald J.}",
year = "1991",
month = "9",
doi = "10.1109/43.85765",
language = "English (US)",
volume = "10",
pages = "1187--1192",
journal = "IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems",
issn = "0278-0070",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "9",

}

TY - JOUR

T1 - A parallel block iterative method for the hydrodynamic device model

AU - Gardner, Carl

AU - Lanzkron, Paul J.

AU - Rose, Donald J.

PY - 1991/9

Y1 - 1991/9

N2 - Block iterative methods are applied to hydrodynamic simulations of a one-dimensional submicrometer semiconductor device. It is shown that block successive underrelaxation (SUR) converges with a fixed relaxation factor ω = 0.13 for simulations at 300 K and ω = 0.04 at 77 K. To demonstrate the robustness of the block iterative method, numerical simulations of a steady-state electron shock wave in Si at 300 K for a 0.1-μm channel and at 77 K for a 1.0-μm channel are presented. The block SUR method is parallelizable if each diagonal block solve can be done efficiently in parallel. Using chaotic relaxation and the preconditioned conjugate gradient method for the parallel diagonal block solves, a parallel speed up of approximately 2.5 is obtained on 10 processors of a Butterfly GP-1000.

AB - Block iterative methods are applied to hydrodynamic simulations of a one-dimensional submicrometer semiconductor device. It is shown that block successive underrelaxation (SUR) converges with a fixed relaxation factor ω = 0.13 for simulations at 300 K and ω = 0.04 at 77 K. To demonstrate the robustness of the block iterative method, numerical simulations of a steady-state electron shock wave in Si at 300 K for a 0.1-μm channel and at 77 K for a 1.0-μm channel are presented. The block SUR method is parallelizable if each diagonal block solve can be done efficiently in parallel. Using chaotic relaxation and the preconditioned conjugate gradient method for the parallel diagonal block solves, a parallel speed up of approximately 2.5 is obtained on 10 processors of a Butterfly GP-1000.

UR - http://www.scopus.com/inward/record.url?scp=0026218951&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026218951&partnerID=8YFLogxK

U2 - 10.1109/43.85765

DO - 10.1109/43.85765

M3 - Article

AN - SCOPUS:0026218951

VL - 10

SP - 1187

EP - 1192

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

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

SN - 0278-0070

IS - 9

ER -