Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits

DOI10.1016/j.cma.2021.114444OpenAlexW3160772952WikidataQ114196858 ScholiaQ114196858MaRDI QIDQ2072707

Ahmed Zytoon, Johnny Guzmán, Michael Neilan, Maurice S. Fabien

Publication date: 26 January 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09214

zbMATH Keywords

divergence-freePowell-Sabinlow-orderWorsey-Farin

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

A cutFEM divergence–free discretization for the stokes problem ⋮ A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow ⋮ A macro-bubble enriched \(P_1\)-\(P_0\) finite element for the Stokes equations on triangular and tetrahedral meshes ⋮ A note on the shape regularity of Worsey-Farin splits ⋮ Hilbert complexes: analysis, applications, and discretizations. Abstracts from the workshop held June 19--25, 2022 ⋮ A modified rotated-\(Q_1\) finite element for the Stokes equations on quadrilateral and hexahedral meshes ⋮ BDM \(H (\operatorname{div})\) weak Galerkin finite element methods for Stokes equations ⋮ Nonconforming finite element methods of order two and order three for the Stokes flow in three dimensions ⋮ Neilan's divergence‐free finite elements for Stokes equations on tetrahedral grids

Uses Software

• PCPATCH

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