Projection method III: Spatial discretization on the staggered grid

Published

Journal Article

In E & Liu (SIAM J Numer. Anal., 1995), we studied convergence and the structure of the error for several projection methods when the spatial variable was kept continuous (we call this the semi-discrete case). In this paper, we address similar questions for the fully discrete case when the spatial variables are discretized using a staggered grid. We prove that the numerical solution in velocity has full accuracy up to the boundary, despite the fact that there are numerical boundary layers present in the semi-discrete solutions.

Full Text

Duke Authors

Cited Authors

  • Weinan, E; Liu, JG

Published Date

  • January 1, 2002

Published In

Volume / Issue

  • 71 / 237

Start / End Page

  • 27 - 47

International Standard Serial Number (ISSN)

  • 0025-5718

Digital Object Identifier (DOI)

  • 10.1090/S0025-5718-01-01313-8

Citation Source

  • Scopus