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Solution of inverse problems in the class of quasi-one-dimensional functions

  • II. Methods for Solving Inverse Problems
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Abstract

Solution of the inverse problem of magnetotelluric sounding in a two-dimensional medium is considered. The solution methods are based on the assumption that the distribution of electrical conductivity is representable as the sum of a slowly varying component and a small increment. This model makes it possible to introduce small parameters in the equations of the problem, which are used for the construction of a sequence of functions approximating the solution of the inverse problem.

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Translated from Metody Matematicheskogo Modelirovaniya, Avtomatizatsiya Obrabotki Nablyudenii i Ikh Primeneniya, pp. 160–175, 1986.

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Barashkov, A.S., Dmitriev, V.I. Solution of inverse problems in the class of quasi-one-dimensional functions. Comput Math Model 1, 186–197 (1990). https://doi.org/10.1007/BF01129062

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  • DOI: https://doi.org/10.1007/BF01129062

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