On the convergence of multi-grid methods with transforming smoothers - Theory with applications to the Navier-Stokes equations

Gabriel Wittum*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

53 Scopus citations

Abstract

In the present paper we give a convergence theory for multi-grid methods with transforming smoothers as introduced in [31] applied to a general system of partial differential equations. The theory follows Hackbusch's approach for scalar pde and allows a convergence proof for some well-known multi-grid methods for Stokes- and Navier-Stokes equations as DGS by Brandt-Dinar, [5], TILU from [31] and the SIMPLE-methods by Patankar-Spalding, [23].

Original languageEnglish (US)
Pages (from-to)15-38
Number of pages24
JournalNumerische Mathematik
Volume57
Issue number1
DOIs
StatePublished - Dec 1 1990

Keywords

  • Subject Classifications: AMS(MOS): 65N20, CR: G1.8

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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