A simple method of calculating eigenvalues and resonances in domains with regular ends
نویسندگان
چکیده
We present a simple new approach to the solution of a wide class of spectral and resonance problems on infinite domains with regular ends, including those found in the study of quantum switches, waveguides, and acoustic scatterers. Our algorithm is part analytical and part numerical and is essentially a combination of four classical approaches (domain decomposition, boundary elements, finite elements and spectral methods) each of which is used in its most natural context.
منابع مشابه
A simple method of calculating eigenvalues and resonances in domains with infinite regular ends∗
A new approach is presented for the solution of spectral problems on infinite domains with regular ends, which avoids the need to solve boundary value problems for many trial values of the spectral parameter. We present numerical results both for eigenvalues and for resonances, comparing with results reported by Aslanyan, Parnovski and Vassiliev [Q. J. Mech. Appl. Math. 53 (2000), 429–447].
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