DocumentCode
1227350
Title
Effect of Preconditioning in Edge-Based Finite-Element Method
Author
Igarashi, Hajime ; Yamamoto, Nobito
Author_Institution
Hokkaido Univ., Sapporo
Volume
44
Issue
6
fYear
2008
fDate
6/1/2008 12:00:00 AM
Firstpage
942
Lastpage
945
Abstract
This paper discusses mathematical properties of preconditioned finite-element matrices based on vector potential formulation (A method) and vector and scalar potential formulation (A-V method) for eddy-current problems. Numerical results show that A-V method with preconditioning is stable at all frequencies in contrast to A method. In this paper, this property is mathematically discussed by considering the diagonal scaling which is one of the simple preconditioning methods. In addition, regularization of A method is discussed.
Keywords
eddy currents; finite element analysis; diagonal scaling; eddy-current problems; edge elements; edge-based finite-element method; mathematical properties; preconditioned finite-element matrices; scalar potential formulation; vector potential formulation; A-V method; diagonal scaling; edge elements; finite-element method; preconditioning;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2007.916272
Filename
4526897
Link To Document