A Posteriori error estimate for stabilized low-order mixed fem for the stokes equations

Yinnian He; Cong Xie; Haibiao Zheng

doi:10.4208/aamm.09-m0995

A Posteriori error estimate for stabilized low-order mixed fem for the stokes equations

Yinnian He, Cong Xie, Haibiao Zheng

Xi'an Jiaotong University

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

6 Scopus citations

Abstract

This paper is concerned with a stabilized approach to low-order mixed finite element methods for the Stokes equations. We will provide a posteriori error analysis for the method. We present two a posteriori error indicators which will be demonstrated to be globally upper and locally lower bounds for the error of the finite element discretization. Finally two numerical experiments will be carried out to show the efficiency on constructing adaptive meshes.

Original language	English
Pages (from-to)	798-809
Number of pages	12
Journal	Advances in Applied Mathematics and Mechanics
Volume	2
Issue number	6
DOIs	https://doi.org/10.4208/aamm.09-m0995
State	Published - 2010
Externally published	Yes

Keywords

A posteriori error estimate
Error indicator
Stabilized low-order mixed FEM
Stokes equations

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10.4208/aamm.09-m0995

Cite this

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abstract = "This paper is concerned with a stabilized approach to low-order mixed finite element methods for the Stokes equations. We will provide a posteriori error analysis for the method. We present two a posteriori error indicators which will be demonstrated to be globally upper and locally lower bounds for the error of the finite element discretization. Finally two numerical experiments will be carried out to show the efficiency on constructing adaptive meshes.",

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AU - Xie, Cong

AU - Zheng, Haibiao

PY - 2010

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N2 - This paper is concerned with a stabilized approach to low-order mixed finite element methods for the Stokes equations. We will provide a posteriori error analysis for the method. We present two a posteriori error indicators which will be demonstrated to be globally upper and locally lower bounds for the error of the finite element discretization. Finally two numerical experiments will be carried out to show the efficiency on constructing adaptive meshes.

AB - This paper is concerned with a stabilized approach to low-order mixed finite element methods for the Stokes equations. We will provide a posteriori error analysis for the method. We present two a posteriori error indicators which will be demonstrated to be globally upper and locally lower bounds for the error of the finite element discretization. Finally two numerical experiments will be carried out to show the efficiency on constructing adaptive meshes.

KW - A posteriori error estimate

KW - Error indicator

KW - Stabilized low-order mixed FEM

KW - Stokes equations

UR - https://www.scopus.com/pages/publications/84863476768

U2 - 10.4208/aamm.09-m0995

DO - 10.4208/aamm.09-m0995

M3 - 文章

AN - SCOPUS:84863476768

SN - 2070-0733

VL - 2

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JO - Advances in Applied Mathematics and Mechanics

JF - Advances in Applied Mathematics and Mechanics

IS - 6

ER -

A Posteriori error estimate for stabilized low-order mixed fem for the stokes equations

Abstract

Keywords

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