A second-order finite element variational multiscale scheme for the fully discrete unsteady Navier-Stokes equations
type: Item
instance of: scholarly article
title: A second-order finite element variational multiscale scheme for the fully discrete unsteady Navier-Stokes equations
zbMATH Open document ID: 1406.35240
author: Jufeng Xue
author: Yueqiang Shang
published in: Journal of Applied Mathematics and Computing
publication date: 2018-09-25T00:00:00Z
review text: The authors present a fully discrete finite element variational multiscale scheme for the unsteady incompressible N-S equations where large Reynolds numbers are allowed. In authors' words: ``the scheme uses conforming finite element pairs for partial discretization and a three-point difference formula for temporal discretization which is of second-order, where a stabilization term based on two local Gauss integrations is employed''. The authors prove stability of the scheme, derive a priori estimates, an give some numerical results to illustrate the theoretical results.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 6943476
zbMATH Keywords: finite element
zbMATH Keywords: variational multiscale method
zbMATH Keywords: error estimate
reviewed by: Gheorghe Moroşanu
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: s12190-017-1135-y
OpenAlex ID: W2762451191
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DOI: 10.1007/S12190-017-1135-Y
description: scientific article; zbMATH DE number 6943476