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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 20–51
(Mi semr143)
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This article is cited in 6 scientific papers (total in 6 papers)
Research papers
Algorithm for reconstruction of the elastic constants of an anisotropic layer lying in an isotropic horizontally stratified medium
A. L. Karchevsky Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
In the work the algorithm for numerical solving of the inverse problem for reconstruction of the elastic constants
of an anisotropic (thinly stratified) layer is presented. In force of the basic restriction the algorithm allow us
to reconstruct only part of the elastic constants. Conditions of symmetry for the trace of the direct problem solution on the surface was used together with usual form of the additional information (value of the direct problem solution on the surface). The numerical solution of the inverse problem was suggested to find in the frequency domain. The general statement of the inverse problem was decomposed to the series of the standard statements of inverse problems to reconstruct sequentially the part of the elastic constants.
Received August 29, 2006, published February 8, 2007
Citation:
A. L. Karchevsky, “Algorithm for reconstruction of the elastic constants of an anisotropic layer lying in an isotropic horizontally stratified medium”, Sib. Èlektron. Mat. Izv., 4 (2007), 20–51
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https://www.mathnet.ru/eng/semr143 https://www.mathnet.ru/eng/semr/v4/p20
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Abstract page: | 256 | Full-text PDF : | 81 | References: | 36 |
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