An iteration for indefinite systems and its application to the Navier-Stokes equations

For large sparse systems of linear equations iterative solution techniques are attractive. In this paper we propose and examine the convergence of an iterative method for an important class of nonsymmetric and indefinite coefficient matrices based on the use of an indefinite and symmetric preconditi...

Full description

Saved in:
Bibliographic Details
Published in:SIAM journal on scientific computing 1998-03, Vol.19 (2), p.530-539
Main Authors: GOLUB, G. H, WATHEN, A. J
Format: Article
Language:English
Subjects:
Eigenvalues
Exact sciences and technology
Mathematics
Matrix
Navier-Stokes equations
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Partial differential equations, boundary value problems
Sciences and techniques of general use
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For large sparse systems of linear equations iterative solution techniques are attractive. In this paper we propose and examine the convergence of an iterative method for an important class of nonsymmetric and indefinite coefficient matrices based on the use of an indefinite and symmetric preconditioner. We apply our technique to the linearized Navier--Stokes equations (the Oseen equations).
ISSN:1064-8275
1095-7197
DOI:10.1137/S106482759529382X