Least-squares mixed finite element methods for the incompressible Navier-Stokes equations

Haiming Gu; Xiaonan Wu

doi:10.1002/num.10015

Least-squares mixed finite element methods for the incompressible Navier-Stokes equations

Haiming Gu^*
, Xiaonan Wu

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

Abstract

Least-squares mixed finite element schemes are formulated to solve the evolutionary Navier-Stokes equations and the convergence is analyzed. We recast the Navier-Stokes equations as a first-order system by introducing a vorticity flux variable, and show that a least-squares principle based on L² norms applied to this system yields optimal discretization error estimates.

Original language	English
Pages (from-to)	441-453
Number of pages	13
Journal	Numerical Methods for Partial Differential Equations
Volume	18
Issue number	4
DOIs	https://doi.org/10.1002/num.10015
Publication status	Published - Jul 2002

User-Defined Keywords

Evolutionary
Least-squares mixed finite element
Navier-Stokes equations

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10.1002/num.10015

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title = "Least-squares mixed finite element methods for the incompressible Navier-Stokes equations",

abstract = "Least-squares mixed finite element schemes are formulated to solve the evolutionary Navier-Stokes equations and the convergence is analyzed. We recast the Navier-Stokes equations as a first-order system by introducing a vorticity flux variable, and show that a least-squares principle based on L2 norms applied to this system yields optimal discretization error estimates.",

keywords = "Evolutionary, Least-squares mixed finite element, Navier-Stokes equations",

author = "Haiming Gu and Xiaonan Wu",

year = "2002",

month = jul,

doi = "10.1002/num.10015",

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journal = "Numerical Methods for Partial Differential Equations",

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T1 - Least-squares mixed finite element methods for the incompressible Navier-Stokes equations

AU - Gu, Haiming

AU - Wu, Xiaonan

PY - 2002/7

Y1 - 2002/7

N2 - Least-squares mixed finite element schemes are formulated to solve the evolutionary Navier-Stokes equations and the convergence is analyzed. We recast the Navier-Stokes equations as a first-order system by introducing a vorticity flux variable, and show that a least-squares principle based on L2 norms applied to this system yields optimal discretization error estimates.

AB - Least-squares mixed finite element schemes are formulated to solve the evolutionary Navier-Stokes equations and the convergence is analyzed. We recast the Navier-Stokes equations as a first-order system by introducing a vorticity flux variable, and show that a least-squares principle based on L2 norms applied to this system yields optimal discretization error estimates.

KW - Evolutionary

KW - Least-squares mixed finite element

KW - Navier-Stokes equations

UR - https://www.scopus.com/pages/publications/0036644642

U2 - 10.1002/num.10015

DO - 10.1002/num.10015

M3 - Journal article

AN - SCOPUS:0036644642

SN - 0749-159X

VL - 18

SP - 441

EP - 453

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 4

ER -

Least-squares mixed finite element methods for the incompressible Navier-Stokes equations

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