On a two-level finite element method for the incompressible Navier-Stokes equations

Authors
Franca, LP Nesliturk, A
Citation
Lp. Franca et A. Nesliturk, On a two-level finite element method for the incompressible Navier-Stokes equations, INT J NUM M, 52(4), 2001, pp. 433
Citations number
49
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN journal
00295981 → ACNP
Volume
52
Issue
4
Year of publication
2001
Database
ISI
SICI code
0029-5981(20011010)52:4<433:OATFEM>2.0.ZU;2-V
Abstract
We consider the Galerkin finite element method for the incompressible Navie r-Stokes equations in two dimensions, where the finite-dimensional space(s) employed consist of piecewise polynomials enriched with residual-free bubb le functions, To find the bubble part of the solution, a two-level finite e lement method (TLFEM) is described and its application to the Navier-Stokes equation is displayed. Numerical solutions employing the TLFEM are present ed for three benchmark problems. We compare the numerical solutions using t he TLFEM with the numerical solutions using a stabilized method. Copyright (C) 2001 John Wiley & Sons, Ltd.