A posteriori error estimates for the virtual element method for the Stokes problem

DOI10.1007/s10915-020-01281-2zbMath1448.76122OpenAlexW3047348893MaRDI QIDQ2007020

Gang Wang, Ying Wang, Yin-Nian He

Publication date: 12 October 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01281-2

zbMATH Keywords

residual equationlocally adapted polygonal mesh

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Basic methods in fluid mechanics (76M99)

Related Items (10)

A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes ⋮ The virtual element method ⋮ A pressure-robust virtual element method for the Navier-Stokes problem on polygonal mesh ⋮ Adaptive virtual element method for optimal control problem governed by Stokes equations ⋮ A posteriori error analysis of the hybrid high-order method for the Stokes problem ⋮ Least-squares virtual element method for Stokes problems on polygonal meshes ⋮ A posteriori error analysis and adaptivity for a VEM discretization of the Navier-Stokes equations ⋮ An adaptive virtual element method for incompressible flow ⋮ Two robust virtual element methods for the Brinkman equations ⋮ An introduction to second order divergence-free VEM for fluidodynamics

Uses Software

• PolyMesher

Cites Work

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