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＜journal article＞
Finite element matrices in congruent subdomains and their effective use for large-scale computations

Creator
Author PID
K000537
Creator Name
Suzuki, Atsushi
鈴木, 厚
スズキ, アツシ
Affiliation
Affiliation Name
Faculty of Mathematics, Kyushu University
九州大学大学院数理学研究院
Author PID
K000405
Creator Name
Tabata, Masahisa
田端, 正久
タバタ, マサヒサ
Affiliation
Affiliation Name
Faculty of Mathematics, Kyushu University
九州大学大学院数理学研究院
Language
English
Publisher
Faculty of Mathematics, Kyushu University
Date
2005-01-11
Source Title
International Journal for Numerical Methods in Engineering
Vol
62
Issue
13
First Page
1807
Last Page
1831
Publication Type
Accepted Manuscript
Access Rights
open access
Rights
(c) 2005 John Wiley & Sons, Ltd.
Related DOI
isIdenticalTo
https://doi.org/10.1002/nme.1248
Related DOI
MHF Preprint Series, Kyushu University ; 2003-6
Related DOI
International Journal for Numerical Methods in Engineering || 62(13) || p1807-1831
http://www.math.kyushu-u.ac.jp/gakufu/
Related URI
International Journal for Numerical Methods in Engineering || 62(13) || p1807-1831
http://www.math.kyushu-u.ac.jp/gakufu/
Related URI
Related HDL
Relation
MHF Preprint Series, Kyushu University ; 2003-6
International Journal for Numerical Methods in Engineering || 62(13) || p1807-1831
http://www.math.kyushu-u.ac.jp/gakufu/
Abstract The structure of finite element matrices in congruent subdomains is studied. When a domain has a form of symmetries and/or periodicities, it is decomposed into a union of congruent subdomains, each of... which is an image of a reference subdomain by an affine transformation with an orthogonal matrix whose components consist of -1, 0, and 1. Stiffness matrices in subdomains are expressed by one in the reference subdomain with renumbering indices and changing signs corresponding to the orthogonal matrices. The memory requirements for a finite element solver are reduced by the domain decomposition, which is useful in large-scale computations. Reducing rates of memory requirements to store matrices are reported with examples of domains. Both applicability and limitations of the algorithm are discussed with an application to the Earth's mantle convection problem.show more

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Details

Record ID
11824
Peer-Reviewed
Refereed
Subject Terms
finite element matrices
congruent subdomains
domain decomposition
orthogonal transformation
memory reduction
ISSN
0029-5981
DOI
10.1002/nme.1248
NCID
AA0068067X
Notes
Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality
九州大学21世紀COEプログラム「機能数理学の構築と展開」
Type
学術雑誌論文
Created Date 2009.04.22
Modified Date 2024.01.10