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ON SCHWARZ ALTERNATING METHODS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS.
- Source :
-
SIAM Journal on Scientific Computing . 2001, Vol. 22 Issue 6, p1974-1986. 13p. - Publication Year :
- 2001
-
Abstract
- The Schwarz alternating method can be used to solve linear elliptic boundary value problems on domains which consist of two or more overlapping subdomains. The solution is approx- imated by an infinite sequence of functions which result from solving a sequence of elliptic boundary value problems in each of the subdomains. This paper considers four Schwarz alternating methods for the N-dimensional, steady, viscous, incompressible Navier­Stokes equations, N ≤ 4. It is shown that the Schwarz sequences converge to the true solution provided that the Reynolds number is sufficiently small. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10648275
- Volume :
- 22
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Scientific Computing
- Publication Type :
- Academic Journal
- Accession number :
- 13205824
- Full Text :
- https://doi.org/10.1137/S1064827598347411