Filter-based stabilization of spectral element methods

Citation
P. Fischer et J. Mullen, Filter-based stabilization of spectral element methods, CR AC S I, 332(3), 2001, pp. 265-270
Citations number
10
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
3
Year of publication
2001
Pages
265 - 270
Database
ISI
SICI code
0764-4442(20010201)332:3<265:FSOSEM>2.0.ZU;2-6
Abstract
We present a simple filtering procedure for stabilizing the spectral elemen t method (SEM) for the unsteady advection-diffusion and Navier-Stokes equat ions. A number of example applications are presented, along with basic anal ysis for the advection-diffusion case. (C) 2001 Academie des sciences/Editi ons scientifiques et medicales Elsevier SAS.