Han, Houde; Yan, Ming A mixed finite element method on a staggered mesh for Navier-Stokes equations. (English) Zbl 1174.35094 J. Comput. Math. 26, No. 6, 816-824 (2008). Summary: 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. Cited in 5 Documents MSC: 35Q30 Navier-Stokes equations 76D05 Navier-Stokes equations for incompressible viscous fluids 76M10 Finite element methods applied to problems in fluid mechanics Keywords:mixed finite element method; staggered mesh; Navier-Stokes equations; error estimate PDFBibTeX XMLCite \textit{H. Han} and \textit{M. Yan}, J. Comput. Math. 26, No. 6, 816--824 (2008; Zbl 1174.35094)