The PSMG Multiscale Method for an Anisotropic Problem

Abstract

The PSMG method provides an efficient solution method for elliptic PDE in the theoretically interesting limit where the number of processors approaches the number of discretization grid points. In this paper we show that the main features of PSMG may be extended from the Poisson equation on a square grid to anisotropic equations of similar type. Convergence rates of .12 or less per single-relaxation iteration are achieved for anisotropy coefficients ranging from 1 to over 10(exp 5).

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1992
Accession Number
ADA455040

Entities

People

  • Oliver A. Mcbryan
  • Yi-hua Chang

Organizations

  • University of Colorado Boulder

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Anisotropy
  • Availability
  • Classification
  • Coefficients
  • Colorado
  • Computer Science
  • Computers
  • Contracts
  • Convergence
  • Equations
  • Information Operations
  • Instructions
  • Iterations
  • Mathematics
  • Monitoring
  • Poisson Equation

Readers

  • Astronomy/Astrophysics
  • Computational Fluid Dynamics (CFD)
  • Structural Dynamics.