DocumentCode
1514574
Title
Symmetric second order edge elements for triangles and tetrahedra
Author
Kameari, Akihisa
Author_Institution
Sci. Solutions Int. Lab. Inc., Tokyo, Japan
Volume
35
Issue
3
fYear
1999
fDate
5/1/1999 12:00:00 AM
Firstpage
1394
Lastpage
1397
Abstract
A new type of second order edge elements for simplexes (triangles and tetrahedra) is proposed. The element is geometrically symmetric and the shape functions are orthogonal to each other in the integrals of the tangential components on edges. The number of nodes and edges are 14 and 24 in a tetrahedral element. The proposed elements are validated by eigenmode calculations in a cavity using newly developed method to solve eigenvalue problems with large matrices. Highly accurate eigenvalues are calculated using the elements
Keywords
eigenvalues and eigenfunctions; electromagnetic field theory; matrix algebra; EM field analysis; eigenmode calculations; eigenvalue problems; large matrices; shape functions; symmetric second order edge elements; tetrahedra; triangles; Eigenvalues and eigenfunctions; Finite element methods; Laboratories; Lagrangian functions; Performance analysis; Polynomials; Shape; Vectors;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.767224
Filename
767224
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