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A mixed finite element method on a staggered mesh for Navier-Stokes equations. (English) Zbl 1174.35094
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 ×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.
MSC:
35Q30Stokes and Navier-Stokes equations
76D05Navier-Stokes equations (fluid dynamics)
76M10Finite element methods (fluid mechanics)