Year: 2008
Journal of Computational Mathematics, Vol. 26 (2008), Iss. 6 : pp. 816–824
Abstract
In this paper, we introduce a mixed finite element method on a staggered mesh for the numerical solution of the steady state Navier-Stokes equations in which the two components of the velocity and the pressure are defined on three different meshes. This method is a conforming quadrilateral $Q_1\times Q_1-P_0$ element approximation for the Navier-Stokes equations. First-order error estimates are obtained for both the velocity and the pressure. Numerical examples are presented to illustrate the effectiveness of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-JCM-8661
Journal of Computational Mathematics, Vol. 26 (2008), Iss. 6 : pp. 816–824
Published online: 2008-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Mixed finite element method Staggered mesh Navier-Stokes equations Error estimate.