FULL DISCRETE TWO-LEVEL CORRECTION SCHEME FOR NAVIER-STOKES EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Two-level method Galerkin approximation Correction Navier-Stokes equation
• 年，卷（期）: 2008,（2）
• 页码范围: 209-226
• 页数: 18页
• 语种: 英文

摘要

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,non-linearity is treated only on the coarse level subspace at each time step by solving exactly the standard Galerkin equation while a linear equation has to be solved on the fine level subspace to get the final approximation at this time step.Thus,it is a two-level based correction scheme for the standard Galerkin approximation.Stability and error estimate for this scheme are investigated in the paper.