DocumentCode
1197152
Title
Symbolic algebra as a tool for understanding edge elements
Author
Tsukerman, Igor
Author_Institution
Dept. of Electr. & Comput. Eng., Univ. of Akron, OH, USA
Volume
39
Issue
3
fYear
2003
fDate
5/1/2003 12:00:00 AM
Firstpage
1111
Lastpage
1114
Abstract
The paper describes a methodology for systematic comparison of tetrahedral edge element spaces using symbolic algebra. Various known edge element families, with their respective spaces and irrotational subspaces, are studied. In addition, symbolic algebra facilitates analysis of some novel hexahedral elements and of a new "prolongation of local gradients" condition for spectral convergence (the absence of "spurious modes").
Keywords
convergence of numerical methods; finite element analysis; symbol manipulation; edge elements; hexahedral elements; irrotational subspaces; prolongation of local gradients; spectral convergence; spurious modes; symbolic algebra; tetrahedral edge element spaces; Algebra; Convergence; Finite element methods; Functional analysis; Iron; Vectors;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2003.810406
Filename
1198411
Link To Document