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

Gabriel Wittum

doi:10.1007/BF01386394

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 journal › Article › peer-review

55 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 language	English (US)
Pages (from-to)	15-38
Number of pages	24
Journal	Numerische Mathematik
Volume	57
Issue number	1
DOIs	https://doi.org/10.1007/BF01386394
State	Published - Dec 1990
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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

Abstract

Keywords

ASJC Scopus subject areas

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