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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 250, Pages 136–152 (Mi znsl647)  

This article is cited in 1 scientific paper (total in 1 paper)

Estimation of accuracy of elastic parameters recovery by diffraction tomography method with the use of finite difference method (SV-problem)

Yu. V. Kiselev, V. N. Troyan

Saint-Petersburg State University
Full-text PDF (367 kB) Citations (1)
Abstract: Numerical simulation of the solution of (2-D,SV) inverse problem on recovery of elastic parameters of local ($\sim\lambda$) inhomogeneity by diffraction tomography method based upon the Born approximation is considered. The direct problem is solved by the finite difference method. The satisfactory accuracy for restoration of non-weak contrast inhomogeneities located in piecewise-homogeneous layered medium is obtained by means of nine source-receiver pairs places at free surface. An example of a numerical estimation of the accuracy of the scattering field calculation in Born approximation with approximation of the wave field by zero term of the ray method is considered.
Received: 10.09.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 102, Issue 4, Pages 4220–4231
DOI: https://doi.org/10.1007/BF02673853
Bibliographic databases:
UDC: 550.834
Language: Russian
Citation: Yu. V. Kiselev, V. N. Troyan, “Estimation of accuracy of elastic parameters recovery by diffraction tomography method with the use of finite difference method (SV-problem)”, Mathematical problems in the theory of wave propagation. Part 27, Zap. Nauchn. Sem. POMI, 250, POMI, St. Petersburg, 1998, 136–152; J. Math. Sci. (New York), 102:4 (2000), 4220–4231
Citation in format AMSBIB
\Bibitem{KisTro98}
\by Yu.~V.~Kiselev, V.~N.~Troyan
\paper Estimation of accuracy of elastic parameters recovery by diffraction tomography method with the use of finite difference method (SV-problem)
\inbook Mathematical problems in the theory of wave propagation. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 250
\pages 136--152
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl647}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1701864}
\zmath{https://zbmath.org/?q=an:1017.74036}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 102
\issue 4
\pages 4220--4231
\crossref{https://doi.org/10.1007/BF02673853}
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  • https://www.mathnet.ru/eng/znsl/v250/p136
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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