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• W2765366963 abstract "Abstract Uniform inf-sup conditions are of fundamental importance for the finite element solution of problems in incompressible fluid mechanics, such as the Stokes and Navier–Stokes equations. In this work we prove a uniform inf-sup condition for the lowest-order Taylor–Hood pairs $mathbb{Q}_2times mathbb{Q}_1$ and $mathbb{P}_2times mathbb{P}_1$ on a family of affine anisotropic meshes. These meshes may contain refined edge and corner patches. We identify necessary hypotheses for edge patches to allow uniform stability and sufficient conditions for corner patches. For the proof, we generalize Verfürth’s trick and recent results by some of the authors. Numerical evidence confirms the theoretical results." @default.
• W2765366963 created "2017-11-10" @default.
• W2765366963 creator A5000967177 @default.
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• W2765366963 date "2019-07-08" @default.
• W2765366963 modified "2023-09-27" @default.
• W2765366963 title "The inf-sup stability of the lowest order Taylor–Hood pair on affine anisotropic meshes" @default.
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• W2765366963 doi "https://doi.org/10.1093/imanum/drz028" @default.
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