The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes

Published 30 Sep 2021 in math.NA and cs.NA | (2109.14780v1)

Abstract: 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

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