A new two-level subspace method is proposed for solving the general unconstrained minimization formulations discretized from infinite-dimensional optimization problems. At each iteration, the algorithm executes either...
Various compact difference schemes (both old and new, explicit and implicit, one-level and two-level), which approximate the diffusion equation and SchrSdinger equation with periodical boundary conditions are constr...
subsidized by the State Basic Research Project (Grant No.2005CB32703);NSF of China (Grant No.10471110) and NCET
In this paper, a full discrete two-level scheme for the unsteady Navier-Stokes equations based on a time dependent projection approach is proposed. In the sense of the new projection and its related space splitting, n...
In this article we consider the fully discrete two-level finite element Galerkin method for the two-dimensional nonstationary incompressible Navier-Stokes equations. This method consists in dealing with the fully disc...
In this article we consider a two-level finite element Galerkin method using mixed finite elements for the two-dimensional nonstationary incompressible Navier-Stokes equations. The method yields a H^1-optimal velocity...