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Error estimate of the P-1 nonconforming finite element method for the penalized unsteady Navier-Stokes equations

Error estimate of the P-1 nonconforming finite element method for the penalized unsteady Navier-Stokes equations

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Authors

  • Xiliang Lu
  • Ping Lin

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Info

Original languageEnglish
Pages261-287
Number of pages27
JournalNumerische Mathematik
Journal publication date2010
Journal number2
Volume115
DOIs
StatePublished

Abstract

We consider a finite element method for the penalty formulation of the time dependent Navier-Stokes equations. Usually the improper choice of the finite element space will lead that the error estimate (inversely) depends on the penalty parameter epsilon. We use the classical P-1 nonconforming finite element space for the spatial discretization. Optimal epsilon-uniform error estimations for both velocity and pressure are obtained.

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