Divergence-free Scott--Vogelius Elements on Curved Domains

DOI10.1137/20M1360098zbMath1468.65203arXiv2008.06429OpenAlexW3158636760MaRDI QIDQ4986823

Baris Otus, Michael Neilan

Publication date: 28 April 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06429

zbMATH Keywords

convergence analysisdivergence-freeisoparametric elements

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

Divergence-free quasi-interpolation ⋮ An EMA-conserving, pressure-robust and Re-semi-robust method with A robust reconstruction method for Navier–Stokes ⋮ A macro-bubble enriched \(P_1\)-\(P_0\) finite element for the Stokes equations on triangular and tetrahedral meshes ⋮ A divergence-free finite element method for the Stokes problem with boundary correction ⋮ 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 ⋮ Design and analysis of an exactly divergence-free hybridised discontinuous Galerkin method for incompressible flows on meshes with quadrilateral cells ⋮ Neilan's divergence‐free finite elements for Stokes equations on tetrahedral grids ⋮ A stable and \(H^1\)-conforming divergence-free finite element pair for the Stokes problem using isoparametric mappings

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