Title :
Symbolic algebra as a tool for understanding edge elements
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Akron, OH, USA
fDate :
5/1/2003 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2003.810406
