@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} }