Year: 2004
Author: Chunfeng Ren, Yichen Ma
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 1 : pp. 101–112
Abstract
A two-grid method for the steady penalized incompressible Navier-Stokes equations is presented. Convergence results are proved. If $h=O(H^{3-s})$ and $\epsilon =O(H^{5-2s}) \ (s=0 \ (n=2); \ s=\frac{1}{2} \ (n=3))$ are chosen, the convergence order of this two-grid method is the same as that of the usual finite element method. Numerical results show that this method is efficient and can save a lot of computation time.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10338
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 1 : pp. 101–112
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Penalized Navier-Stokes equations Two-grid method Error estimate Numerical test.