Determination of the coefficient of Helmholtz's equation from the boundary values of the solution

The problem of determining the coefficient of Helmholtz's equation, specified in a band, is considered. A method of solving this problem for the case when the coefficient is represented in the form of the sum of a continuously changing function and a small addition is developed.

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Bibliographic Details
Published in:U.S.S.R. computational mathematics and mathematical physics 1986, Vol.26 (1), p.149-156
Main Authors: Barashkov, A.S., Barashkova, G.I.
Format: Article
Language:English
Online Access:Get full text
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Summary:The problem of determining the coefficient of Helmholtz's equation, specified in a band, is considered. A method of solving this problem for the case when the coefficient is represented in the form of the sum of a continuously changing function and a small addition is developed.
ISSN:0041-5553
DOI:10.1016/0041-5553(86)90199-0