DocumentCode
1429775
Title
Comparison of accuracy criteria for approximation of conservative fields on tetrahedra
Author
Tsukerman, Igor ; Plaks, Alexander
Author_Institution
Dept. of Electr. Eng., Akron Univ., OH, USA
Volume
34
Issue
5
fYear
1998
fDate
9/1/1998 12:00:00 AM
Firstpage
3252
Lastpage
3255
Abstract
A new maximum eigenvalue criterion for a scaled stiffness matrix and a related singular value criterion for the element `edge shape matrix´, as well as conventional conditions of approximation accuracy, are applied to tetrahedral node and edge elements and compared. The singular value criterion is the most precise and least restrictive a priori condition and is recommended for engineering practice
Keywords
eigenvalues and eigenfunctions; electromagnetic fields; finite element analysis; singular value decomposition; a priori condition; accuracy criteria; approximation accuracy; conservative fields; edge shape matrix; maximum eigenvalue criterion; node elements; scaled stiffness matrix; singular value criterion; tetrahedra; Approximation error; Eigenvalues and eigenfunctions; Error analysis; Finite element methods; Interpolation; Linear approximation; Magnetostatics; Shape; Solids; Vectors;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.717763
Filename
717763
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