Accuracy of eigenvalue obtained with hybrid elements on axisymmetric domains

Author

Iwashita, Yoshihisa

Author_Institution

Inst. for Chem. Res., Kyoto Univ., Japan

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

2543

Lastpage

2546

Abstract

Eigenvalues of dipole modes in a cylindrical cavity and a spherical cavity were calculated with hybrid triangular elements assuming the sin mθ and cos mθ dependencies of the field, and compared with their analytical values. The elements are a combination of linear edge elements for r- and z-components and quadratic nodal elements for the azimuthal one. Because two out of eight degrees of freedom in the linear edge element are internal, they are often omitted. The 14-parameter elements showed a quadratic convergence on mesh refinement, while the 12-parameter ones showed the linear rate like constant edge elements

Keywords

cavity resonators; eigenvalues and eigenfunctions; electromagnetic field theory; finite element analysis; axisymmetric domain; convergence; cylindrical cavity; dipole mode; eigenvalue; electromagnetic field; finite element method; hybrid triangular elements; linear edge elements; mesh refinement; quadratic nodal elements; spherical cavity; Boundary conditions; Chemical elements; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic fields; Erbium; Finite element methods; Helium; Nuclear and plasma sciences; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717586

Filename

717586