Volume 26, Issue 2
Full Discrete Two-level Correction Scheme for Navier-Stokes Equations

Yanren Hou & Liquan Mei

J. Comp. Math., 26 (2008), pp. 209-226

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  • Abstract

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.

  • History

Published online: 2008-04

  • AMS Subject Headings

65M55, 65M70.

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