Triangular preconditioners for saddle point problems with a penalty term
- Westfaelische Wilhelms-Universitaet, Muenster (Germany)
Triangular preconditioners for a class of saddle point problems with a penalty term are considered. An important example is the mixed formulation of the pure displacement problem in linear elasticity. It is shown that the spectrum of the preconditioned system is contained in a real, positive interval, and that the interval bounds can be made independent of the discretization and penalty parameters. This fact is used to construct bounds of the convergence rate of the GMRES method used with an energy norm. Numerical results are given for GMRES and BI-CGSTAB.
- Research Organization:
- Front Range Scientific Computations, Inc., Lakewood, CO (United States)
- OSTI ID:
- 435021
- Report Number(s):
- CONF-9604167-Vol.1; ON: DE96015306; TRN: 97:000720-0086
- Resource Relation:
- Journal Volume: 19; Journal Issue: 1; Conference: Copper Mountain conference on iterative methods, Copper Mountain, CO (United States), 9-13 Apr 1996; Other Information: PBD: [1996]; Related Information: Is Part Of Copper Mountain conference on iterative methods: Proceedings: Volume 1; PB: 422 p.
- Country of Publication:
- United States
- Language:
- English
Similar Records
Preconditioning of elliptic saddle point systems by substructuring and a penalty approach.
A new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier–Stokes equations
GSTS-Uzawa method for a class of complex singular saddle point problems
Conference
·
Sat Jan 01 00:00:00 EST 2005
·
OSTI ID:435021
A new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier–Stokes equations
Journal Article
·
Thu Mar 15 00:00:00 EDT 2018
· Computational and Applied Mathematics
·
OSTI ID:435021
GSTS-Uzawa method for a class of complex singular saddle point problems
Journal Article
·
Sun Jul 15 00:00:00 EDT 2018
· Computational and Applied Mathematics
·
OSTI ID:435021