2024-03-29T01:08:04Z
https://repository.dl.itc.u-tokyo.ac.jp/oai
oai:repository.dl.itc.u-tokyo.ac.jp:00040993
2022-12-19T04:16:31Z
312:7290:7291
9:504:7292:7293
A Mixed Finite Element Method for 3-D Analysis of Cavity Resonators
Kikuchi, Fumio
139864
Hara, Masahiro
139865
Wada, Takeshi
139866
410
eigenvalue problem
electromagnetics
mixed FEM
Nedelec edge elements
application/pdf
This paper presents a finite element method for 3-D analysis of an electro-magnetic eigenvalue problem for cavity resonators. First, we derive some weak formulations for this problem, a typical one of which is a mixed formulation that employs the Lagrange multiplier to deal with the divergence-free condition. Then we give a mixed finite element method based on the mixed formulation. We present concrete finite element models by the use of the Nedelec type finite element spaces for electric or magnetic fields. This approach is mathematically rigorous and is also convenient to deal with the electro-magnetic boundary conditions. We also present some finite element models for the analysis of axisymmetric cavities. Finally, some elementary numerical results are given to demonstrate the validity of our approach.
departmental bulletin paper
The University of Tokyo
1992
application/pdf
Scientific papers of the College of Arts and Sciences, the University of Tokyo
42
111
129
AA10538733
02897520
https://repository.dl.itc.u-tokyo.ac.jp/record/40993/files/scp042006.pdf
eng