科研成果详情

This paper provides an error analysis for the Crank-Nicolson extrapolation scheme of time discretization applied to the spatially discrete stabilized finite element approximation of the two-dimensional time-dependent Navier-Stokes problem, where the finite element space pair (Xh, Mh) for the approximation (uhn, phn ) of the velocity u and the pressure p is constructed by the low-order finite element: the Q1 ? P0 quadrilateral element or the P 1 ? P0 triangle element with mesh size h. Error estimates of the numerical solution (uhn, phn) to the exact solution (u(tn), p(tn)) with tn ∈ (0, T] are derived. © 2006 American Mathematical Society.