UTA Department of Mathematics

Applied Mathematics Seminar

Date/Time/Room: Friday (11/08/2002) at 2:00pm in 304 Pickard Hall


Yinnian He, Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, P. R.China

"Two-Level Method Based on Finite Element and
Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations"

Abstract: A fully discrete two-level finite element method (the two level method) is presented for solving the two-dimensional time dependent Navier-Stokes problem. The method requires a Crank-Nicolson extrapolation solution on a coarse spatial-time grid and a backward Euler solution on a fine spatial-time grid .

The error estimates of optimal order of the discrete solution for the two-level method are derived. Compared with the standard Crank-Nicolson extrapolation method (the one-level method) based on a fine spatial-time grid , the two-level method is of the error estimates of same order as the one-level method. However, the two-level method involves much less work than the one-level method.