论文名称： A two-level finite element Galerkin method for the   nonstationary Navier-Stokes equations II: time discretization
作者： He Yinnian，Miao Huanling* and Ren Chunfeng#
来源出版物： Journal of Computational Mathematics
年卷期页： 2004,22(1):33-54
收录类型： SCI和EI
论文简介： The two-level finite element Galerkin method using mixed finite elements is a well-known approach to the efficient solution of the incompressible Navier-Stokes equations. The present Part II is devoted to the fully discretized problem using the implicit Euler scheme in time together with div-stable low-order pairs for the spatial approximation of velocity and pressure. Each time step of the two-level finite element Galerkin method requires the solution of one small nonlinear Navier-Stokes problem on the coarse mesh with mesh size H  and of one linear Stokes problem on the fine mesh with mesh size h?H . The algorithm produces an approximate solution with the optimal accuracy with respect to the fine grid size h  and the time step Δt . Moreover, a simple numerical example confirms the theoretical results and the performance of the two-level method.
原文链接： A two-level finite element Galerkin method for the   nonstationary Navier-Stokes equations II: time discretization