DocumentCode
1197968
Title
Spurious numerical solutions in electromagnetic resonance problems
Author
Tsukerman, Igor
Author_Institution
Dept. of Electr. & Comput. Eng., Univ. of Akron, OH, USA
Volume
39
Issue
3
fYear
2003
fDate
5/1/2003 12:00:00 AM
Firstpage
1405
Lastpage
1408
Abstract
Recent progress in the analysis of the notorious problem of "spurious modes" is briefly reviewed and an easily verifiable "Prolongation of Local Gradients" condition is proposed. The condition is closely related to commutativity of the de Rham diagram for finite-element spaces. Several families of rectangular, hexahedral, triangular, and tetrahedral elements are examined in light of this new condition.
Keywords
computational electromagnetics; convergence of numerical methods; finite element analysis; resonance; EM resonance problems; FEM; de Rham diagram; edge elements; electromagnetic computation; finite-element methods; finite-element spaces; hexahedral elements; prolongation of local gradients condition; rectangular elements; spectral convergence; spurious modes; spurious numerical solutions; tetrahedral elements; triangular elements; Automation; Convergence of numerical methods; Couplings; Eddy currents; Finite element methods; Laplace equations; Magnetostatics; Moment methods; Resonance; Visualization;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2003.810409
Filename
1198485
Link To Document