Title :
An analysis of the scalar Helmholtz equation using the integral equation method
Author :
Tsuchimoto, Masanori ; Yoneta, Atsuhiko ; Honma, Toshihisa ; Miya, Kenzo
Author_Institution :
Nucl. Eng. Res. Lab., Tokyo Univ., Ibaraki, Japan
fDate :
1/1/1992 12:00:00 AM
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
Keywords :
cavity resonators; eigenvalues and eigenfunctions; integral equations; Laplace equation; eigenvalue problem; integral equation method; resonant cavity; scalar Helmholtz equation; weighting function; Eigenvalues and eigenfunctions; Finite difference methods; Finite element methods; Helium; Integral equations; Laplace equations; Resonance; Resonant frequency; Search methods; Strontium;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
