Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations

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Abstract

In this paper the design and analysis of a dimensionally consistent stabilization operator for a time-discontinuous Galerkin least-squares finite element method for unsteady viscous flow problems governed by the incompressible Navier-Stokes equations, is discussed. The analysis results in a class of stabilization operators which satisfy essential conditions for the stability of the numerical discretization.
Original languageUndefined
Title of host publicationComputational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics
EditorsZ.H. Yao, M.W. Yuan, W.X. Zhong
Place of PublicationBeijing, China
PublisherSpringer
Pages1-10
Number of pages10
ISBN (Print)7-302-09343-1
Publication statusPublished - Sep 2004

Publication series

Name
PublisherTsinghua University Press & Springer-Verlag

Keywords

  • EWI-12235
  • IR-72379
  • METIS-220254

Cite this

Polner, M. A., van der Vegt, J. J. W., & van Damme, R. M. J. (2004). Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations. In Z. H. Yao, M. W. Yuan, & W. X. Zhong (Eds.), Computational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics (pp. 1-10). Beijing, China: Springer.
Polner, M.A. ; van der Vegt, Jacobus J.W. ; van Damme, Rudolf M.J. / Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations. Computational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics. editor / Z.H. Yao ; M.W. Yuan ; W.X. Zhong. Beijing, China : Springer, 2004. pp. 1-10
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abstract = "In this paper the design and analysis of a dimensionally consistent stabilization operator for a time-discontinuous Galerkin least-squares finite element method for unsteady viscous flow problems governed by the incompressible Navier-Stokes equations, is discussed. The analysis results in a class of stabilization operators which satisfy essential conditions for the stability of the numerical discretization.",
keywords = "EWI-12235, IR-72379, METIS-220254",
author = "M.A. Polner and {van der Vegt}, {Jacobus J.W.} and {van Damme}, {Rudolf M.J.}",
year = "2004",
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isbn = "7-302-09343-1",
publisher = "Springer",
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Polner, MA, van der Vegt, JJW & van Damme, RMJ 2004, Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations. in ZH Yao, MW Yuan & WX Zhong (eds), Computational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics. Springer, Beijing, China, pp. 1-10.

Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations. / Polner, M.A.; van der Vegt, Jacobus J.W.; van Damme, Rudolf M.J.

Computational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics. ed. / Z.H. Yao; M.W. Yuan; W.X. Zhong. Beijing, China : Springer, 2004. p. 1-10.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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T1 - Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations

AU - Polner, M.A.

AU - van der Vegt, Jacobus J.W.

AU - van Damme, Rudolf M.J.

PY - 2004/9

Y1 - 2004/9

N2 - In this paper the design and analysis of a dimensionally consistent stabilization operator for a time-discontinuous Galerkin least-squares finite element method for unsteady viscous flow problems governed by the incompressible Navier-Stokes equations, is discussed. The analysis results in a class of stabilization operators which satisfy essential conditions for the stability of the numerical discretization.

AB - In this paper the design and analysis of a dimensionally consistent stabilization operator for a time-discontinuous Galerkin least-squares finite element method for unsteady viscous flow problems governed by the incompressible Navier-Stokes equations, is discussed. The analysis results in a class of stabilization operators which satisfy essential conditions for the stability of the numerical discretization.

KW - EWI-12235

KW - IR-72379

KW - METIS-220254

M3 - Conference contribution

SN - 7-302-09343-1

SP - 1

EP - 10

BT - Computational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics

A2 - Yao, Z.H.

A2 - Yuan, M.W.

A2 - Zhong, W.X.

PB - Springer

CY - Beijing, China

ER -

Polner MA, van der Vegt JJW, van Damme RMJ. Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations. In Yao ZH, Yuan MW, Zhong WX, editors, Computational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics. Beijing, China: Springer. 2004. p. 1-10