The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes

This paper analyzes the Scott-Vogelius divergence-free element pair on anisotropic meshes. Weexplore the behavior of the inf-sup stability constant with respect to the aspect ratio on meshes generated with astandard barycenter mesh refinement strategy, as well as a newly introduced incenter refineme...

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Hauptverfasser: Kean, Kiera, Neilan, Michael, Schneier, Michael
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Sprache:eng
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Zusammenfassung:This paper analyzes the Scott-Vogelius divergence-free element pair on anisotropic meshes. Weexplore the behavior of the inf-sup stability constant with respect to the aspect ratio on meshes generated with astandard barycenter mesh refinement strategy, as well as a newly introduced incenter refinement strategy. Numericalexperiments are presented which support the theoretical results
DOI:10.48550/arxiv.2109.14780