The Error Analysis for Linearized Crank-Nicolson-Galerkin Method for Navier-Stokes Problem

In this paper, we studied the non-stationary incompressible Navier-Stokes problem in two-dimensional domain by using mixed finite element method. By using the Linearized Crank-Nicolson-Galerkin Method we found the weak form to the above problem which is then improved to the approximate solution. These estimates are then applied to obtain quasi-optimal error analysis in the energy norm for velocity, pressure and velocity with pressure.