A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations

Authors:
Liping Zhu;Jian Li;Zhangxin Chen
Affiliations:
Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, PR China and Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710054, PR China;Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721007, PR China and Department of Chemical & Petroleum Engineering, Schulich School of Engineering, University of Calgary, ...;Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, PR China and Department of Chemical & Petroleum Engineering, Schulich School of Engineering, University of Calgary, 2500 University Dri ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 4
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Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

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A stabilized finite element method based on two local Gauss integrations for the Stokes equations

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A new local stabilized nonconforming finite element method for the Stokes equations

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Abstract

In this paper we study a new local stabilized nonconforming finite element method based on two local Gauss integrals for solving the stationary Navier-Stokes equations. This nonconforming method utilizes the lowest equal-order pair of mixed finite elements (i.e., NCP"1-P"1). Error estimates of optimal order are obtained, and numerical results agreeing with these estimates are demonstrated. Numerical comparisons with other mixed finite element methods for solving the Navier-Stokes equations are also presented to show the better performance of the present method.