Virtual element approximations for non-stationary Navier-Stokes equations on polygonal meshes
type: Item
instance of: scholarly article
title: Virtual element approximations for non-stationary Navier-Stokes equations on polygonal meshes
DOI: 10.11948/20210381
author: Nitesh Verma
author: Sarvesh Kumar
published in: Journal of Applied Analysis and Computation
publication date: 2024-09-30T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M99
zbMATH DE Number: 7920367
zbMATH Keywords: Navier-Stokes equation
zbMATH Keywords: lowest order
zbMATH Keywords: inf-sup condition
zbMATH Keywords: virtual element method
zbMATH Keywords: numerical experiments
zbMATH Keywords: convergence analysis
MaRDI profile type: Publication
cites work: A second order accuracy for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme
cites work: Q4073917
cites work: Equivalent projectors for virtual element methods
cites work: On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations
cites work: A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
cites work: Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes
cites work: Virtual element method for semilinear hyperbolic problems on polygonal meshes
cites work: BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
cites work: Virtual element method for general second-order elliptic problems on polygonal meshes
cites work: Divergence free virtual elements for the stokes problem on polygonal meshes
cites work: Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
cites work: The Stokes complex for virtual elements with application to Navier-Stokes flows
cites work: Equilibrium analysis of an immersed rigid leaflet by the virtual element method
cites work: Vorticity-stabilized virtual elements for the Oseen equation
cites work: On inf--sup stabilized finite element methods for transient problems
cites work: Mixed and Hybrid Finite Element Methods
cites work: The Mathematical Theory of Finite Element Methods
cites work: Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
cites work: Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence
cites work: A fully coupled scheme using virtual element method and finite volume for poroelasticity
cites work: Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem
cites work: A mixed virtual element method for the Navier–Stokes equations
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
cites work: Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations
cites work: A penalty finite volume method for the transient Navier-Stokes equations
cites work: Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
cites work: Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
cites work: Stabilized virtual element methods for the unsteady incompressible Navier-Stokes equations
cites work: A stabilized finite element method for transient Navier–Stokes equations based on two local Gauss integrations
cites work: Finite Element Methods for Incompressible Flow Problems
cites work: Equal order discontinuous finite volume element methods for the Stokes problem
cites work: A new stabilized finite element method for the transient Navier-Stokes equations
cites work: The nonconforming virtual element method for the Navier-Stokes equations
cites work: A virtual element method for the coupled Stokes-Darcy problem with the Beaver-Joseph-Saffman interface condition
cites work: Error estimate of the \(P_1\) nonconforming finite element method for the penalized unsteady Navier-Stokes equations
cites work: A finite volume method for solving Navier-Stokes problems
cites work: Analysis of a Stokes interface problem
cites work: Low‐order stabilized finite element methods for the unsteady Stokes/Navier‐Stokes equations with friction boundary conditions
cites work: \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
cites work: On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity
cites work: Q4163866
cites work: Virtual element methods for parabolic problems on polygonal meshes
cites work: An H1-conforming virtual element for Darcy and Brinkman equations
cites work: Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
description: scientific article; zbMATH DE number 7920367