Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Wave phenomena in inhomogeneous media

Author: Paul Filippi
Journal: Quart. Appl. Math. 33 (1976), 337-350
MSC: Primary 49G10; Secondary 65P05
DOI: https://doi.org/10.1090/qam/458305
MathSciNet review: 458305
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Abstract: The difference between the fundamental solutions of differential equations governing the same physical phenomenon in two different physical media is investigated. A stationary expression of this difference is established, leading to a Ritz-Galerkin procedure. The Ritz-Galerkin system is solved analytically, providing a representing series for the difference of the two fundamental solutions as a functional of either one or the other of these functions. The convergence of the series is a consequence of its construction itself. Physical examples are considered which show that the convergence rate can be partially controlled.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/458305
Article copyright: © Copyright 1976 American Mathematical Society

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