Hybrid Schwarz-multigrid methods for the spectral element method: Extensions to Navier-Stokes

Paul F. Fischer, James W. Lottes

Research output: Chapter in Book/Report/Conference proceedingChapter


The performance of multigrid methods for the standard Poisson problem and for the consistent Poisson problem arising in spectral element discretizations of the Navier-Stokes equations is investigated. It is demonstrated that overlapping additive Schwarz methods are effective smoothers, provided that the solution in the overlap region is weighted by the inverse counting matrix. It is also shown that spectral element based smoothers are superior to those based upon finite element discretizations. Results for several large 3D Navier-Stokes applications are presented.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Scienceand Engineering
Number of pages15
ISBN (Print)3540225234, 9783540225232
StatePublished - 2005
Externally publishedYes

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Engineering
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics


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