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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 1, Pages 67–82 (Mi sjvm459)  
This article is cited in 2 scientific papers (total in 2 papers)

Reconstruction of pressure and shear velocities and boundaries of thin layers in a thinly stratified layer

A. L. Karchevsky

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (244 kB) Citations (2)
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Abstract: In this paper, a result of reconstruction of velocities of elastic waves and boundaries of thin layers in a thinly stratified layer is presented. For this purpose, the method of residual functional minimization was used. Differentiation of the residual functional with respect to coordinates of gap points of a medium was proved and the appropriate derivative was obtained.
Key words: inverse problem, pressure velocity, shear velocity, gap point of medium, horizontaly stratified medium, thinly stratified layer, residual functional, gradient of residual functional, layer stripping method.
Received: 23.03.2011
Revised: 11.04.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 1, Pages 54–67
DOI: https://doi.org/10.1134/S1995423912010065
Bibliographic databases:
Document Type: Article
UDC: 517.926.7
Language: Russian
Citation: A. L. Karchevsky, “Reconstruction of pressure and shear velocities and boundaries of thin layers in a thinly stratified layer”, Sib. Zh. Vychisl. Mat., 15:1 (2012), 67–82; Num. Anal. Appl., 5:1 (2012), 54–67
Citation in format AMSBIB
\Bibitem{Kar12}
\by A.~L.~Karchevsky
\paper Reconstruction of pressure and shear velocities and boundaries of thin layers in a~thinly stratified layer
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 1
\pages 67--82
\mathnet{http://mi.mathnet.ru/sjvm459}
\elib{https://elibrary.ru/item.asp?id=17979134}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 1
\pages 54--67
\crossref{https://doi.org/10.1134/S1995423912010065}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857846052}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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