Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions

DOI10.1137/20M1350479zbMath1468.76054arXiv2007.02090OpenAlexW3176597327MaRDI QIDQ5001378

Huayi Wei, Xuehai Huang, Ao Li

Publication date: 19 July 2021

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

Full work available at URL: https://arxiv.org/abs/2007.02090

zbMATH Keywords

convergencestabilizationerror analysislocal energy projectorpressure-robust virtual element methodRaviart-Thomas element spacereduced virtual element method

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10) Basic methods in fluid mechanics (76M99)

Related Items (11)

\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension ⋮ The interior penalty virtual element method for the biharmonic problem ⋮ Cut-off error splitting technique for conservative nonconforming VEM for \(N\)-coupled nonlinear Schrödinger-Boussinesq equations ⋮ The virtual element method for a nonhomogeneous double obstacle problem of Kirchhoff plate ⋮ The Hermite-type virtual element method with interior penalty for the fourth-order elliptic problem ⋮ Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations and applications in electrochemical systems ⋮ Analysis of divergence free conforming virtual elements for the Brinkman problem ⋮ The virtual element method for an obstacle problem of a Kirchhoff-Love plate ⋮ Lowest-order virtual element methods for linear elasticity problems ⋮ Robust weak Galerkin finite element solvers for Stokes flow based on a lifting operator ⋮ Discrete Hessian complexes in three dimensions

Uses Software

• GitHub
• FEALPy

Cites Work

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