DocumentCode
1542921
Title
Basis Functions for Divergence Constraints in the Finite Element Method
Author
Pinciuc, Chris M. ; Konrad, Adalbert ; Lavers, John Douglas
Author_Institution
Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada
Volume
46
Issue
8
fYear
2010
Firstpage
3421
Lastpage
3424
Abstract
A method for implementing divergence constraints in the finite element method is given. This method yields a linearly independent, sparse set of constraints for a mesh of brick elements. The method is used to obtain the resonant frequencies of rectangular cavities with perfectly conducting walls. There is good agreement with exact values and there are no spurious modes.
Keywords
cavity resonators; finite element analysis; basis functions; brick elements; divergence constraints; finite element method; rectangular cavities; resonant frequency; Boundary conditions; Eigenvalues and eigenfunctions; Finite element methods; Interpolation; Lagrangian functions; Magnetic fields; Null space; Polynomials; Resonant frequency; Cavity resonators; finite element methods;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2010.2044489
Filename
5512880
Link To Document