2024-03-29T13:07:44Z
https://repository.dl.itc.u-tokyo.ac.jp/oai
oai:repository.dl.itc.u-tokyo.ac.jp:00041004
2022-12-19T04:14:19Z
312:7290:7300
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Weak Formulations for Finite Element Analysis of an Electromagnetic Eigenvalue Problem
Kikuchi, Fumio
139880
410
electromagnetics
resonators
eigenvalue problem
FEM
mixed method
penalty method
application/pdf
This paper presents some weak (or variational) formulations for an electromagnetic eigenvalue problem related to the analysis of cavity resonators in microwave theory. Particularly, mixed and penalty formulations are considered, since they appear to be applicable to finite element analysis of such a problem. Moreover, some theoretical results are derived for these formulations. Then, a simple two-dimensional finite element is developed by the penalty formulation, and tested by numerical computations. We point out some numerical difficulties observed in this type of piecewise polynomial finite elements based on the penalty approach.
departmental bulletin paper
The University of Tokyo
1988
application/pdf
Scientific papers of the College of Arts and Sciences, the University of Tokyo
38
43
67
AA10538733
02897520
https://repository.dl.itc.u-tokyo.ac.jp/record/41004/files/scp038004.pdf
eng