A METHOD FOR DEVISING EFFICIENT MULTIGRID SMOOTHERS FOR COMPLICATED PDE SYSTEMS

Authors
YAVNEH I
Citation
I. Yavneh, A METHOD FOR DEVISING EFFICIENT MULTIGRID SMOOTHERS FOR COMPLICATED PDE SYSTEMS, SIAM journal on scientific computing, 14(6), 1993, pp. 1437-1463
Citations number
6
Categorie Soggetti
Computer Sciences",Mathematics
Journal title
SIAM journal on scientific computing → ACNP
ISSN journal
10648275
Volume
14
Issue
6
Year of publication
1993
Pages
1437 - 1463
Database
ISI
SICI code
1064-8275(1993)14:6<1437:AMFDEM>2.0.ZU;2-T
Abstract
A systematic approach is developed for gaining insight into complicate d systems of partial differential equations (PDEs) in order to constru ct efficient smoothers for multigrid solvers. The method is derived fr om local mode (smoothing) analysis and employs algebraic graph theory, but it requires no knowledge of either in its implementation. It is a pplied to several problems, for which finding the best approach withou t such an analysis can be quite challenging.