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://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 - <p style="text-align: justify;">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.</p>