DocumentCode
1157330
Title
Application of multilevel preconditioners to finite element magnetostatic problems
Author
Tsukerman, Igor
Author_Institution
Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada
Volume
30
Issue
5
fYear
1994
fDate
9/1/1994 12:00:00 AM
Firstpage
3562
Lastpage
3565
Abstract
Iterative methods based ran Xu´s Multilevel Preconditioners (MP) for finite element problems have recently been studied in mathematical literature. For these methods the number of iterations grows only as a logarithm of the number of nodes. Therefore for fine meshes the MP method is faster than more traditional algorithms (such as ICCG or Nested Dissection). The present paper examines practical application of MP and shows the importance of weighting factors and of the inverse operator at the coarsest level. Numerical examples for test and real-life problems are presented
Keywords
finite element analysis; iterative methods; magnetostatics; algorithms; fine meshes; finite element problems; inverse operator; iterative methods; magnetostatics; multilevel preconditioners; nodes; weighting factors; Application software; Arithmetic; Convergence; Finite difference methods; Finite element methods; Iterative algorithms; Iterative methods; Magnetostatics; Multigrid methods; Testing;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.312708
Filename
312708
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