A fast solver for the Ornstein-Zernike equations

C. Tim Kelley, B. Montgomery Pettitt

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


In this paper, we report on the design and analysis of a multilevel method for the solution of the Ornstein-Zernike Equations and related systems of integro-algebraic equations. Our approach is based on an extension of the Atkinson-Brakhage method, with Newton-GMRES used as the coarse mesh solver. We report on several numerical experiments to illustrate the effectiveness of the method. The problems chosen are related to simple short ranged fluids with continuous potentials. Speedups over traditional methods for a given accuracy are reported. The new multilevel method is roughly six times faster than Newton-GMRES and 40 times faster than Picard.

Original languageEnglish (US)
Pages (from-to)491-501
Number of pages11
JournalJournal of Computational Physics
Issue number2
StatePublished - Jul 1 2004
Externally publishedYes

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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