Efficient Poisson Solver for Semiconductor Device Modeling Using the Multi-Grid Preconditioned BiCGSTAB Method

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

This paper presents the performance results of an efficient algorithm for solving the three dimensional Poisson equation. The multi-grid method exploits the efficient oscillatory error reduction of basic iterative methods by smoothing on a set of progressively coarsened grids. When used as a preconditioner for BiCGSTAB method, a computationally demanding solver can be shown to be effective for large scale simulations. Varying the number of grids used and the level of overrelaxation as well as exploring the benefits of semicoarsening in the multi-grid preconditioner reveals the underlying strengths of this combined scheme. The convergence properties of the developed solver are tested on a 3D split-gate silicon on insulator (SOI) device.

Original languageEnglish (US)
Pages (from-to)359-363
Number of pages5
JournalJournal of Computational Electronics
Volume1
Issue number3
DOIs
StatePublished - Oct 1 2002

Keywords

  • BiCGSTAB
  • computation
  • multi-grid
  • preconditioning
  • SOI device modeling

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Modeling and Simulation
  • Electrical and Electronic Engineering

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