NDLI: An analysis of the scalar Helmholtz equation using the integral equation method

Content Provider	IEEE Xplore Digital Library
Author	Tsuchimoto, M. Yoneta, A. Honma, T. Miya, K.
Copyright Year	1963
Abstract	The scalar Helmholtz equations are investigated by using the integral equation method (IEM). In the IEM analysis, the fundamental solution of the Laplace equation is used as a weighting function. Two IEM formulations are obtained: one is a standard formulation and the other is obtained from an elimination of the unknown boundary value. The accuracy and computational time of the IEM are compared with those of the finite element method in two dimensional scalar Helmholtz problems. The analysis of a resonant cavity is reduced to a simple eigenvalue problem. Resonant frequencies of the IEM agree well with those of the finite difference method. Usefulness of the IEM is confirmed through the analyses of the scalar Helmholtz equations.<>
Sponsorship	IEEE Microwave Theory and Techniques Society
Starting Page	29
Ending Page	33
Page Count	5
File Size	427288
File Format	PDF
ISSN	00189480
Volume Number	40
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1992-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Integral equations Laplace equations Resonance Finite difference methods Eigenvalues and eigenfunctions Finite element methods Resonant frequency Search methods Strontium
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering Radiation

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