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Volume 2, Issue 6
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

Adv. Appl. Math. Mech., 2 (2010), pp. 798-809.

Published online: 2010-02

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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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@Article{AAMM-2-798, author = {He , YinnianXie , Cong and Zheng , Haibiao}, title = {A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {6}, pages = {798--809}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0995}, url = {http://global-sci.org/intro/article_detail/aamm/8361.html} }
TY - JOUR T1 - A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations AU - He , Yinnian AU - Xie , Cong AU - Zheng , Haibiao JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 798 EP - 809 PY - 2010 DA - 2010/02 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0995 UR - https://global-sci.org/intro/article_detail/aamm/8361.html KW - 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.

He , YinnianXie , Cong and Zheng , Haibiao. (2010). A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations. Advances in Applied Mathematics and Mechanics. 2 (6). 798-809. doi:10.4208/aamm.09-m0995
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