Role of the LBB Condition in Weak Spectral Projection Methods

This paper investigates the relevance of the Ladyshenskaya–Babuška–Brezzi condition in spectral projection methods. We consider the stability and convergence properties for a first-order nonincremental projection method and a second-order incremental projection method, both based on a spectral Galer...

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Bibliographic Details
Published inJournal of computational physics Vol. 174; no. 1; pp. 405 - 420
Main Authors Auteri, F., Guermond, J.-L., Parolini, N.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 20.11.2001
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Summary:This paper investigates the relevance of the Ladyshenskaya–Babuška–Brezzi condition in spectral projection methods. We consider the stability and convergence properties for a first-order nonincremental projection method and a second-order incremental projection method, both based on a spectral Galerkin–Legendre spatial discretization. We show that the convergence of both projection methods is controlled by the ability of the spectral framework to approximate correctly the steady Stokes problem.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1006/jcph.2001.6922