Chebyshev pseudospectral-finite element method for the three-dimensional unsteady Navier-Stokes equation

Authors
Citation
Jy. Hou et By. Guo, Chebyshev pseudospectral-finite element method for the three-dimensional unsteady Navier-Stokes equation, APPL MATH C, 101(2-3), 1999, pp. 209-244
Citations number
27
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
101
Issue
2-3
Year of publication
1999
Pages
209 - 244
Database
ISI
SICI code
0096-3003(19990615)101:2-3<209:CPEMFT>2.0.ZU;2-9
Abstract
A mixed Chebyshev pseudospectral-finite element method is developed for sol ving the three-dimensional evolutionary Navier-Stokes equation. The general ized stability and the convergence of the scheme are proved strictly. The n umerical results presented show the advantages of this mixed method. (C) 19 99 Published by Elsevier Science Inc. All rights reserved.