Stabilized finite element method for the non-stationary navier-stokes problem

H. E. Yinnian; Yanping Lin; Weiwei Sun

Stabilized finite element method for the non-stationary navier-stokes problem

H. E. Yinnian, Yanping Lin, Weiwei Sun

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

In this article, a locally stabilized finite element formulation of the two-dimensional Navier-Stokes problem is used. A macroelement condition which provides the stability of the Q1 -P0 quadrilateral element and the P1 -P0 triangular element is introduced. Moreover, the H1 and L2-error estimates of optimal order for finite element solution (uh,ph,) are analyzed. Finally, a uniform H1 and L2-error estimates of optimal order for finite element solution (uh, ph) is obtained if the uniqueness condition is satisfied.

Original language	English
Pages (from-to)	41-68
Number of pages	28
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	6
Issue number	1
Publication status	Published - 1 Jan 2006
Externally published	Yes

Keywords

Navier-stokes problem
Stabilized finite element
Uniform error estimate

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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abstract = "In this article, a locally stabilized finite element formulation of the two-dimensional Navier-Stokes problem is used. A macroelement condition which provides the stability of the Q1 -P0 quadrilateral element and the P1 -P0 triangular element is introduced. Moreover, the H1 and L2-error estimates of optimal order for finite element solution (uh,ph,) are analyzed. Finally, a uniform H1 and L2-error estimates of optimal order for finite element solution (uh, ph) is obtained if the uniqueness condition is satisfied.",

keywords = "Navier-stokes problem, Stabilized finite element, Uniform error estimate",

author = "Yinnian, {H. E.} and Yanping Lin and Weiwei Sun",

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T1 - Stabilized finite element method for the non-stationary navier-stokes problem

AU - Yinnian, H. E.

AU - Lin, Yanping

AU - Sun, Weiwei

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Y1 - 2006/1/1

N2 - In this article, a locally stabilized finite element formulation of the two-dimensional Navier-Stokes problem is used. A macroelement condition which provides the stability of the Q1 -P0 quadrilateral element and the P1 -P0 triangular element is introduced. Moreover, the H1 and L2-error estimates of optimal order for finite element solution (uh,ph,) are analyzed. Finally, a uniform H1 and L2-error estimates of optimal order for finite element solution (uh, ph) is obtained if the uniqueness condition is satisfied.

AB - In this article, a locally stabilized finite element formulation of the two-dimensional Navier-Stokes problem is used. A macroelement condition which provides the stability of the Q1 -P0 quadrilateral element and the P1 -P0 triangular element is introduced. Moreover, the H1 and L2-error estimates of optimal order for finite element solution (uh,ph,) are analyzed. Finally, a uniform H1 and L2-error estimates of optimal order for finite element solution (uh, ph) is obtained if the uniqueness condition is satisfied.

KW - Navier-stokes problem

KW - Stabilized finite element

KW - Uniform error estimate

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M3 - Journal article

SN - 1531-3492

VL - 6

SP - 41

EP - 68

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 1

ER -

Stabilized finite element method for the non-stationary navier-stokes problem

Abstract

Keywords

ASJC Scopus subject areas

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