Uniformly convergent \(H(\mathrm{div})\)-conforming rectangular elements for Darcy-Stokes problem

DOI10.1007/s11425-013-4692-zzbMath1305.76054OpenAlexW2055486995WikidataQ57653371 ScholiaQ57653371MaRDI QIDQ476545

Shao-Chun Chen, Li-na Dong, ZhongHua Qiao

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4692-z

zbMATH Keywords

uniform convergence\(H(\mathrm{div})\)-conforming rectangular elementsDarcy-Stokes problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) 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 (11)

Uniformly convergent cubic nonconforming element for Darcy-Stokes problem ⋮ High accuracy analysis of a nonconforming rectangular finite element method for the Brinkman model ⋮ A lowest-degree conservative finite element scheme for incompressible Stokes problems on general triangulations ⋮ A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields ⋮ Error analysis of nonconforming virtual element method for Stokes problem with low regularity ⋮ A hybridized weak Galerkin finite element scheme for the Stokes equations ⋮ The nonconforming virtual element method for the Darcy-Stokes problem ⋮ Low-order nonconforming brick elements for the 3D Brinkman model ⋮ The Divergence-Free Nonconforming Virtual Element for the Stokes Problem ⋮ Nonconforming polynomial mixed finite element for the Brinkman problem over quadrilateral meshes ⋮ A low-degree strictly conservative finite element method for incompressible flows on general triangulations

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