A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh

DOI10.3934/era.2021053zbMath1490.65292arXiv2009.12226OpenAlexW3184766843MaRDI QIDQ2055185

Shangyou Zhang, Xiu Ye

Publication date: 3 December 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12226

zbMATH Keywords

finite element methodssuperconvergenceStokes equationsweak Galerkinpolytopal mesh

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Variational methods for elliptic systems (35J50) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (6)

Superconvergence of a WG method for the Stokes equations with continuous pressure ⋮ Developing stabilizer free weak Galerkin finite element method for second-order wave equation ⋮ Supercloseness analysis of a stabilizer free weak Galerkin finite element method for time dependent convection diffusion reaction equation ⋮ BDM \(H (\operatorname{div})\) weak Galerkin finite element methods for Stokes equations ⋮ Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients ⋮ A weak Galerkin method for elasticity interface problems

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