STABILIZED SPECTRAL ELEMENT APPROXIMATION FOR THE NAVIER-STOKES EQUATIONS

Citation
P. Gervasio et F. Saleri, STABILIZED SPECTRAL ELEMENT APPROXIMATION FOR THE NAVIER-STOKES EQUATIONS, Numerical methods for partial differential equations, 14(1), 1998, pp. 115-141
Citations number
35
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
0749159X
Volume
14
Issue
1
Year of publication
1998
Pages
115 - 141
Database
ISI
SICI code
0749-159X(1998)14:1<115:SSEAFT>2.0.ZU;2-G
Abstract
The conforming spectral element methods are applied to solve the linea rized Navier-Stokes equations by the help of stabilization techniques like those applied for finite elements. The stability and convergence analysis is carried out and essential numerical results are presented demonstrating the high accuracy of the method as well as its robustnes s. (C) 1998 John Wiley & Sons, Inc.