Local Fourier analysis of multigrid smoothers for the Stokes problem

Abstract: We present a local Fourier analysis of the Stokes equations for a finite difference discretization on staggered grids. We compare the commonly used Vanka smoother with a non‐overlapping variant of the Vanka smoother. While the latter is computationally cheaper, the convergence depends severely on the order in which the unknowns are updated. In contrast, the convergence of the overlapping method is not affected by the order.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Local Fourier analysis of multigrid smoothers for the Stokes problem ; volume:19 ; number:1 ; year:2019 ; extent:2
Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 2)

Creator
Bolten, Matthias
Claus, Lisa

DOI
10.1002/pamm.201900394
URN
urn:nbn:de:101:1-2022072207325767702198
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:23 AM CEST

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Associated

  • Bolten, Matthias
  • Claus, Lisa

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