Publication: Crouzeix-Raviart triangular elements are inf-sup stable
Date
Date
Date
2022
Journal Article
Published version
Abstract
Abstract
Abstract
The Crouzeix-Raviart triangular finite elements are inf-sup stable for the Stokes equations for any mesh with at least one interior vertex. This result affirms a conjecture of Crouzeix-Falk from 1989 for p = 3. Our proof applies to any odd degree p >= 3 and concludes the overall stability analysis: Crouzeix-Raviart triangular finite elements of degree p in two dimensions and the piecewise polynomials of degree p - 1 with vanishing integral form a stable Stokes pair for all positive integers p.
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70 since deposited on 2022-07-18
Acq. date: 2025-11-12
Additional indexing
Creators (Authors)
Volume
Volume
Volume
91
Number
Number
Number
337
Page range/Item number
Page range/Item number
Page range/Item number
2041
Page end
Page end
Page end
2057
Item Type
Item Type
Item Type
Journal Article
In collections
Keywords
Applied Mathematics, Computational Mathematics, Algebra and Number Theory ;
Stokes problem, inf-sup stability, nonconforming, Crouzeix-Raviart, p=3, odd degree, arbitrary p ;
FINITE-ELEMENT, DIVERGENCE OPERATOR, RIGHT-INVERSE, SPACES
Language
Language
Language
English
Publication date
Publication date
Publication date
2022-06-08
Date available
Date available
Date available
2022-07-18
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
0025-5718
Additional Information
Additional Information
Additional Information
MSC (2020): Primary 65N30, 65N12, 65N15
OA Status
OA Status
OA Status
Closed
Free Access at
Free Access at
Free Access at
DOI
Publisher DOI
Metrics
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70 since deposited on 2022-07-18
Acq. date: 2025-11-12
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Sauter_2022_Crouzeix_RaviartTriangular.pdfview file PDF|1Download281.6 KB
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Sauter_2022_Crouzeix_RaviartTriangular.pdfview file PDF|1Download281.6 KB
Language:eng
Files
Files
Files
Files available to download:1
Sauter_2022_Crouzeix_RaviartTriangular.pdfview file PDF|1Download281.6 KB
Language:eng
Sauter_2022_Crouzeix_RaviartTriangular.pdfview file PDF|1Download281.6 KB
Language:eng
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