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- W1965360629 abstract "Abstract This paper deals with an extension of the Rayleigh-Ritz method for bracketing eigenvalues of self-adjoint differential operators. The proposed extension uses a simple formula which gives lower bounds of eigenvalues requiring only the Rayleigh-Ritz eigenfunction approximations and a rough lower bound of some higher eigenvalue. The combination of this extended Rayleigh-Ritz method with the widely used exact conformal mapping technique enables one to obtain eigenvalue bounds of the Helmholtz equation defined on the regions with complicated boundary shape. Numerical results concerning the cutoff frequencies of the eccentric annular, eccentric lunar and eccentric inverted lunar waveguide are presented." @default.
- W1965360629 created "2016-06-24" @default.
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- W1965360629 date "1990-06-01" @default.
- W1965360629 modified "2023-09-27" @default.
- W1965360629 title "Bracketing of cutoff frequencies of uniform waveguides with eccentric circular geometry by the Rayleigh-Ritz method" @default.
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- W1965360629 doi "https://doi.org/10.1016/0022-460x(90)90894-6" @default.
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