An adaptive virtual element method for incompressible flow

DOI10.1016/j.camwa.2021.09.012zbMath1491.76057OpenAlexW3203545704MaRDI QIDQ2239093

Ying Wang, Gang Wang, Feng Wang

Publication date: 2 November 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.09.012

zbMATH Keywords

Navier-Stokes equationsadaptive mesh refinementvariational multiscale methodStokes equationsa posteriori error estimatevirtual element methodpolygonal mesh

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Basic methods in fluid mechanics (76M99)

Related Items (4)

A pressure-robust virtual element method for the Navier-Stokes problem on polygonal mesh ⋮ A new family of semi-implicit finite volume/virtual element methods for incompressible flows on unstructured meshes ⋮ 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

Uses Software

• PolyMesher

Cites Work

• \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
• Mimetic finite difference method for the Stokes problem on polygonal meshes
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• A Posteriori Error Estimators for the Stokes and Oseen Equations
• A Posteriori Error Estimates for the Stokes Problem
• Analysis of Some Finite Elements for the Stokes Problem
• Finite Element Methods for Navier-Stokes Equations
• Dual Virtual Element Method for Discrete Fractures Networks
• Error Estimators for Nonconforming Finite Element Approximations of the Stokes Problem
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• An a Posteriori Error Estimator for a New Stabilized Formulation of the Brinkman Problem
• Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
• A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
• The NonConforming Virtual Element Method for the Stokes Equations
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