Perturbation of eigenvalues of preconditioned Navier-Stokes operators [electronic resource].
- Published
- Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 1996.
- Physical Description
- pages 1, Paper 65 : digital, PDF file
- Additional Creators
- United States. Department of Energy. Office of Scientific and Technical Information
Access Online
- Restrictions on Access
- Free-to-read Unrestricted online access
- Summary
- We study the sensitivity of algebraic eigenvalue problems associated with matrices arising from linearization and discretization of the steady-state Navier-Stokes equations. In particular, for several choices of preconditioners applied to the system of discrete equations, we derive upper bounds on perturbations of eigenvalues as functions of the viscosity and discretization mesh size. The bounds suggest that the sensitivity of the eigenvalues is at worst linear in the inverse of the viscosity and quadratic in the inverse of the mesh size, and that scaling can be used to decrease the sensitivity in some cases. Experimental results supplement these results and confirm the relatively mild dependence on viscosity. They also indicate a dependence on the mesh size of magnitude smaller than the analysis suggests.
- Report Numbers
- E 1.99:conf-9604167--vol.1
conf-9604167--vol.1 - Subject(s)
- Other Subject(s)
- Note
- Published through SciTech Connect.
12/31/1996.
"conf-9604167--vol.1"
"DE96015306"
Copper Mountain conference on iterative methods, Copper Mountain, CO (United States), 9-13 Apr 1996.
Elman, H.C.
Front Range Scientific Computations, Inc., Lakewood, CO (United States)
View MARC record | catkey: 14110932