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A Note on Terminology in Multigrid Methods

Birken, Philipp LU ; Bull, Jonathan and Jameson, Antony (2016) Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig 2016 In PAMM - Proceedings in Applied Mathematics and Mechanics 16. p.721-722
Abstract
We compare terminology used in the literature on multigrid methods for compressible computational fluid dynamics to that used in linear multigrid theory. Several popular iterative and direct smoothers are presented side-by-side using the same terminology. We argue for greater analysis of these methods in order to place them into a more rigorous framework and to identify the most promising candidates for future development.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
PAMM - Proceedings in Applied Mathematics and Mechanics
volume
16
pages
2 pages
publisher
John Wiley & Sons
conference name
Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig 2016
ISSN
1617-7061
DOI
10.1002/pamm.201610349
language
English
LU publication?
yes
id
9e1b20fb-3eb2-4a5f-bd2d-821e7356cd80
date added to LUP
2016-10-31 13:33:08
date last changed
2017-02-16 12:55:20
@article{9e1b20fb-3eb2-4a5f-bd2d-821e7356cd80,
  abstract     = {We compare terminology used in the literature on multigrid methods for compressible computational fluid dynamics to that used in linear multigrid theory. Several popular iterative and direct smoothers are presented side-by-side using the same terminology. We argue for greater analysis of these methods in order to place them into a more rigorous framework and to identify the most promising candidates for future development.},
  author       = {Birken, Philipp and Bull, Jonathan and Jameson, Antony},
  issn         = {1617-7061},
  language     = {eng},
  pages        = {721--722},
  publisher    = {John Wiley & Sons},
  series       = {PAMM - Proceedings in Applied Mathematics and Mechanics},
  title        = {A Note on Terminology in Multigrid Methods},
  url          = {http://dx.doi.org/10.1002/pamm.201610349},
  volume       = {16},
  year         = {2016},
}