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

Xiliang Lu; Ping Lin

doi:10.1007/s00211-009-0277-8

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

Xiliang Lu
, Ping Lin

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

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.

Original language	English
Pages (from-to)	261-287
Number of pages	27
Journal	Numerische Mathematik
Volume	115
Issue number	2
DOIs	https://doi.org/10.1007/s00211-009-0277-8
Publication status	Published - 2010

Keywords

SEQUENTIAL REGULARIZATION METHOD
APPROXIMATION
FORMULATION
DYNAMICS
FLOWS

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10.1007/s00211-009-0277-8

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

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.",

keywords = "SEQUENTIAL REGULARIZATION METHOD, APPROXIMATION, FORMULATION, DYNAMICS, FLOWS",

author = "Xiliang Lu and Ping Lin",

year = "2010",

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language = "English",

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pages = "261--287",

journal = "Numerische Mathematik",

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T1 - Error estimate of the P-1 nonconforming finite element method for the penalized unsteady Navier-Stokes equations

AU - Lu, Xiliang

AU - Lin, Ping

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - SEQUENTIAL REGULARIZATION METHOD

KW - APPROXIMATION

KW - FORMULATION

KW - DYNAMICS

KW - FLOWS

U2 - 10.1007/s00211-009-0277-8

DO - 10.1007/s00211-009-0277-8

M3 - Article

SN - 0029-599X

VL - 115

SP - 261

EP - 287

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 2

ER -

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

Abstract

Keywords

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