DocumentCode :
870685
Title :
Vector finite elements for electromagnetic field computation
Author :
Cendes, Zoltan J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA
Volume :
27
Issue :
5
fYear :
1991
fDate :
9/1/1991 12:00:00 AM
Firstpage :
3958
Lastpage :
3966
Abstract :
A novel structure for the finite-element analysis of vector fields is presented. This structure uses the affine transformation to represent vectors and vector operations over triangular domains. Two-dimensional high-order vector elements are derived that are consistent with Whitney forms. One-form elements preserve the continuity of the tangential components of a vector field across element boundaries, while two-form elements preserve the continuity of the normal components. The one-form elements are supplemented with additional variables to achieve pth order completeness in the range space of the curl operator. The resulting elements are called tangential vector finite elements and provide consistent, reliable, and accurate methods for solving electromagnetic field problems.
Keywords :
electromagnetic field theory; finite element analysis; vectors; FEA; Whitney forms; affine transformation; curl operator; electromagnetic field computation; element boundaries; finite-element analysis; normal components; one-form elements; range space; tangential components; tangential vector finite elements; triangular domains; two-form elements; vector fields; Calculus; Eddy currents; Electromagnetic fields; Finite element methods; Magnetic analysis; Magnetic flux; Magnetostatics; Microwave generation; Permittivity; Polynomials;
fLanguage :
English
Journal_Title :
Magnetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9464
Type :
jour
DOI :
10.1109/20.104970
Filename :
104970
Link To Document :
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