Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem

DOI10.1093/imanum/draa073OpenAlexW3096766720MaRDI QIDQ5024888

Publication date: 27 January 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01830

zbMATH Keywords

polyhedral meshes incompressible Stokes equations virtual element methods pressure-robustness divergence-preserving reconstruction

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items (12)

A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport ⋮ Analysis of a mixed DG method for stress-velocity formulation of the Stokes equations ⋮ The virtual element method ⋮ A pressure-robust virtual element method for the Navier-Stokes problem on polygonal mesh ⋮ Stability and interpolation properties for Stokes-like virtual element spaces ⋮ A new class of stabilized virtual element methods for the time-dependent Oseen equations ⋮ The Morley-type virtual element method for the Navier-Stokes equations in stream-function form ⋮ A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form ⋮ Lowest order virtual element approximations for transient Stokes problem on polygonal meshes ⋮ An introduction to second order divergence-free VEM for fluidodynamics ⋮ A pressure robust staggered discontinuous Galerkin method for the Stokes equations ⋮ Vorticity-stabilized virtual elements for the Oseen equation

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