Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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}
Linking options:
  • https://www.mathnet.ru/eng/znsl647
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:199
    Full-text PDF :71
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024