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Volume 26, Issue 6
A Mixed Finite Element Method on a Staggered Mesh for Navier-Stokes Equations

Houde Han & Ming Yan

J. Comp. Math., 26 (2008), pp. 816-824.

Published online: 2008-12

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  • 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.

  • Keywords

Mixed finite element method, Staggered mesh, Navier-Stokes equations, Error estimate.

  • AMS Subject Headings

35Q30, 74G15, 74S05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-816, author = {Houde Han and Ming Yan}, title = {A Mixed Finite Element Method on a Staggered Mesh for Navier-Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {6}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8661.html} }
TY - JOUR T1 - A Mixed Finite Element Method on a Staggered Mesh for Navier-Stokes Equations AU - Houde Han & Ming Yan JO - Journal of Computational Mathematics VL - 6 SP - 816 EP - 824 PY - 2008 DA - 2008/12 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8661.html KW - Mixed finite element method, Staggered mesh, Navier-Stokes equations, Error estimate. AB -

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.

Houde Han and Ming Yan. (2008). A Mixed Finite Element Method on a Staggered Mesh for Navier-Stokes Equations. Journal of Computational Mathematics. 26 (6). 816-824. doi:
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