Comparison between tangentially continuous vector finite elements for eigenvalue problems in 3D cavities

Author

Pichon, Lionel

Author_Institution

Lab. des Genie Electr., Ecole Superieure d´´Electr, Gif-sur-Yvette, France

Volume

32

Issue

3

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

902

Lastpage

905

Abstract

We present a performance comparison between two vector finite elements for solving Maxwell´s equations in 3D cavities. The finite elements are two popular tangentially continuous finite elements which have demonstrated their efficiency in electromagnetic field computation: the first order tetrahedral element (edge element) and the second order hexahedral element. The study involves the modeling of resonators of different shapes (rectangular and cylindrical cavities). For both elements, numerical accuracy is checked against the number of unknowns

Keywords

Maxwell equations; cavity resonators; eigenvalues and eigenfunctions; electromagnetic fields; finite element analysis; vectors; 3D cavities; Maxwell´s equations; cylindrical cavities; edge element; efficiency; eigenvalue problems; electromagnetic field computation; first order tetrahedral element; numerical accuracy; rectangular cavities; resonators; second order hexahedral element; tangentially continuous vector finite elements; Eigenvalues and eigenfunctions; Electromagnetic devices; Electromagnetic fields; Finite element methods; Maxwell equations; Microwave devices; Microwave ovens; Permittivity; Resonance; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.497387

Filename

497387