A Stabilized Local Projections Extrapolated Finite Element Method for the Navier-Stokes Equations
نویسندگان
چکیده
A full discrete stabilized finite element scheme for the transient Navier-Stokes equations is proposed, based on the pressure projection and the extrapolated trapezoidal rule. The transient Navier-Stokes equations are fully discretized by the lowest equal-order finite elements in space and the reduced Crank-Nicolson scheme in time. This scheme is stable for the equal-order combination of discrete continuous velocity and pressure spaces because of adding a pressure projection term. Stability and convergence of this scheme are discussed and related error estimates are derived. Finally, the method requires only the solution to a linear system at every time step. 6544 Noureddine AYOUB, Anas RACHID and Mohamed BAHAJ Mathematics Subject Classification: 65N30, 65M60, 35Q30
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