DocumentCode
1541062
Title
Stability of the moment method in electromagnetic problems
Author
Tsukerman, Igor
Author_Institution
Dept. of Electr. Eng., Akron Univ., OH, USA
Volume
33
Issue
2
fYear
1997
fDate
3/1/1997 12:00:00 AM
Firstpage
1402
Lastpage
1405
Abstract
Ill-posed electromagnetic problems with Fredholm equations of the first kind are frequently solved by the “moment method” without explicit regularization. The paper examines why and how the moment method works for ill-posed problems and what limitations are imposed by the ill-posedness. According to theoretical estimates and numerical experiments, the moment method solution converges to the exact one in the energy norm but does not converge uniformly. Comparison with the finite element method is given
Keywords
Fredholm integral equations; electromagnetism; finite element analysis; method of moments; numerical stability; Fredholm equations; convergence; electromagnetic problems; energy norm; finite element method; ill-posed electromagnetic problems; moment method stability; numerical experiments; Computational electromagnetics; Estimation theory; Finite element methods; Fourier transforms; Integral equations; Message-oriented middleware; Moment methods; Space charge; Stability; Terminology;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.582519
Filename
582519
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