Optimum Mixed Finite Element Nonlinear Galerkin Method for the Navier-Stokes211 Equations II: Stability Analysis for Time Discretization

摘要

In this article, we provide a boundedness and stability analysis for the Euler211u001eexplicit difference schemes of time discretization applied to spatial discrete 211u001eoptimum nonlinear Galerkin approximations using mixed finite elements for the two-211u001edimensional Navier-Stokes equations. Our results show that this explicit scheme 211u001eis of the boundedness and stability under a less restrictive time step constraint 211u001ethan that of the explicit scheme corresponding to Galerkin approximation.