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

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

35Q30 74G15 74S05.

@Article{JCM-26-816, author = {}, 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 JO - Journal of Computational Mathematics VL - 6 SP - 816 EP - 824 PY - 2008 DA - 2008/12 SN - 26 DO - http://dor.org/ UR - https://global-sci.org/intro/jcm/8661.html KW - Mixed finite element method KW - Staggered mesh KW - Navier-Stokes equations KW - 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.