The nonconforming virtual element method for the Darcy-Stokes problem

DOI10.1016/j.cma.2020.113251zbMath1506.76106OpenAlexW3040720126MaRDI QIDQ2020277

Shipeng Mao, Bei Zhang, Jikun Zhao, Shao-Chun Chen

Publication date: 23 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113251

zbMATH Keywords

uniform convergencepolygonal meshDarcy-Stokes problemnonconforming virtual element

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, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Stabilization of the nonconforming virtual element method, High accuracy analysis of a nonconforming rectangular finite element method for the Brinkman model, The virtual element method, The divergence‐free nonconforming virtual element method for the <scp>Navier–Stokes</scp> problem, A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes, Analysis of divergence free conforming virtual elements for the Brinkman problem, A velocity-based moving mesh virtual element method, A virtual element method for overcoming locking phenomena in Biot’s consolidation model, The curl–curl conforming virtual element method for the quad-curl problem, The Divergence-Free Nonconforming Virtual Element for the Stokes Problem, An introduction to second order divergence-free VEM for fluidodynamics, The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation, An Lp spaces-based mixed virtual element method for the two-dimensional Navier–Stokes equations

Uses Software

• PolyMesher

Cites Work

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