A new linearly extrapolated Crank-Nicolson time-stepping scheme for the Navier-Stokes equations
A new linearly extrapolated Crank-Nicolson time-stepping scheme for the Navier-Stokes equations
We investigate the stability of a fully-implicit, linearly extrapolated Crank-Nicolson (CNLE) time-stepping scheme for finite element spatial discretization of the Navier-Stokes equations. Although presented in 1976 by Baker and applied and analyzed in various contexts since then, all known convergence estimates of CNLE require a time-step restriction. We propose a …