Nodal and edge element analysis of inhomogeneously loaded 3D cavities

Author

Bardi, I. ; Biro, O. ; Preis, K. ; Vrisk, G. ; Richter, K.R.

Author_Institution

Graz Univ. of Technol., Austria

Volume

28

Issue

2

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

1142

Lastpage

1145

Abstract

The behavior of the nodal and edge finite-element approximation is investigated in the case of inhomogeneously loaded 3-D cavity resonators. The discussion is aimed at the origin and the avoidance of the spurious solutions. In the nodal element case, a joint vector and scalar potential description is presented while the field components are used in the case of the edge elements. In both cases, the number of zero eigenvalues can be predicted beforehand; isoparametric brick elements are used for the discretization, leading to a generalized eigenvalue problem with symmetric, sparse matrices

Keywords

cavity resonators; eigenvalues and eigenfunctions; finite element analysis; cavity resonators; edge element analysis; field components; finite-element approximation; generalized eigenvalue problem; inhomogeneously loaded 3D cavities; isoparametric brick elements; nodal analysis; scalar potential; sparse matrices; vector potential; zero eigenvalues; Eddy currents; Eigenvalues and eigenfunctions; Filters; Finite element methods; Iterative algorithms; Partial differential equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.123886

Filename

123886