3D biconjugate gradient-multi grid coupling schemes for field equations in semiconductor device simulation

J. Ayubi-Moak, S. Wigger, Stephen Goodnick, Marco Saraniti

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

A significant portion of the time required for simulating full three-dimensional (3D) charge transport in semiconductor devices using particle-based methods is spent solving the necessary field equations. Two highly effective, iterative techniques available for solving large-sparse systems of equations are the conjugate gradient (CG) method and the multigrid (MG) method. In this work, variants of the CG and MG methods are self-consistently coupled to a particle-based full-band simulator and are applied to model small, 3D structures. Detailed analyses of both performance and solver robustness are presented for different algorithmic configurations. Hybrid strategies using various coupling schemes for improving overall performance behavior of the Poisson solver are also discussed.

Original languageEnglish (US)
Title of host publication2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002
EditorsM. Laudon, B. Romanowicz
Pages400-403
Number of pages4
StatePublished - Dec 1 2002
Event2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002 - San Juan, Puerto Rico
Duration: Apr 21 2002Apr 25 2002

Publication series

Name2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002

Other

Other2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002
CountryPuerto Rico
CitySan Juan
Period4/21/024/25/02

Keywords

  • Bi-CGSTAB
  • Conjugate gradient
  • Multigrid
  • Particle-based simulation
  • Poisson solver

ASJC Scopus subject areas

  • Engineering(all)

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    Ayubi-Moak, J., Wigger, S., Goodnick, S., & Saraniti, M. (2002). 3D biconjugate gradient-multi grid coupling schemes for field equations in semiconductor device simulation. In M. Laudon, & B. Romanowicz (Eds.), 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002 (pp. 400-403). (2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002).