DocumentCode :
1428692
Title :
Discrete spaces for div and curl-free fields
Author :
Kettunen, Lauri ; Forsman, Kimmo ; Bossavit, Alain
Author_Institution :
Lab. of Electr. & Magnetism, Tampere Univ. of Technol., Finland
Volume :
34
Issue :
5
fYear :
1998
fDate :
9/1/1998 12:00:00 AM
Firstpage :
2551
Lastpage :
2554
Abstract :
In this paper we construct discrete spaces for fields whose curl or div vanishes but for which one cannot find potentials. In electromagnetism such fields appear when the problem domain is not topologically trivial. The discrete spaces are constructed with Whitney elements in simplicial meshes
Keywords :
electromagnetic field theory; finite element analysis; Whitney element; curl-free field; discrete space; div-free field; electromagnetism; mesh; vector field; Finite element methods; Geometry; Joining processes; Kernel; Magnetic domains; Space technology;
fLanguage :
English
Journal_Title :
Magnetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9464
Type :
jour
DOI :
10.1109/20.717588
Filename :
717588
Link To Document :
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