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
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2044489
