DocumentCode
992397
Title
Hierarchal scalar and vector tetrahedra
Author
Webb, J.P. ; Forgahani, B.
Author_Institution
Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada
Volume
29
Issue
2
fYear
1993
fDate
3/1/1993 12:00:00 AM
Firstpage
1495
Lastpage
1498
Abstract
A novel set of scalar and vector tetrahedral finite elements are presented. The elements are hierarchical, allowing mixing of polynomial orders. Scalar orders up to three and vector orders up to two are defined. The vector elements impose tangential continuity on the field but not normal continuity, making them suitable for representing the vector electric or magnetic field. The scalar and vector elements can easily be used in the same mesh, a requirement of many quasi-static formulations. Results are presented for two 50-Hz problems: the Bath cube and the TEAM Workshop problem 7
Keywords
electromagnetic field theory; finite element analysis; vectors; 50 Hz; Bath cube; EM problems; TEAM Workshop problem 7; hierarchal elements; mixing of polynomial orders; scalar tetrahedra; tangential continuity; tetrahedral finite elements; vector tetrahedra; Equations; Finite element methods; Joining processes; Laboratories; Magnetic fields; Mesh generation; Polynomials; Shape;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.250686
Filename
250686
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