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Block-circulant preconditioners for systems arising from discretization of the three-dimensional convection–diffusion equation

  • William M. Cheung
  • , Michael K. Ng*
  • *Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

9 Citations (Scopus)

Abstract

We consider the system of equations arising from finite difference discretization of a three-dimensional convection–diffusion model problem. This system is typically nonsymmetric. The GMRES method with the Strang block-circulant preconditioner is proposed for solving this linear system. We show that our preconditioners are invertible and study the spectra of the preconditioned matrices. Numerical results are reported to illustrate the effectiveness of our methods.
Original languageEnglish
Pages (from-to)143-158
Number of pages16
JournalJournal of Computational and Applied Mathematics
Volume140
Issue number1-2
DOIs
Publication statusPublished - 1 Mar 2002

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 9 - Industry, Innovation, and Infrastructure
    SDG 9 Industry, Innovation, and Infrastructure

User-Defined Keywords

  • Circulant preconditioner
  • Convection-diffusion equations
  • Finite difference discretization
  • GMRES

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