Comparison of second- and fourth-order discretizations for multigrid poisson solvers

Murli M. Gupta, Jules Kouatchou, Jun Zhang

Research output: Contribution to journalArticlepeer-review

104 Scopus citations

Abstract

We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along with several different orderings of grid space and projection operators, is compared with the five-point formula to show the dramatic improvement in computed accuracy, on serial and vector machines.

Original languageEnglish
Pages (from-to)226-232
Number of pages7
JournalJournal of Computational Physics
Volume132
Issue number2
DOIs
StatePublished - Apr 1997

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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