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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 218, Pages 25–43 (Mi znsl5971)  

On computation of the second term of the ray method for the vector of longitudinal displacements in isotropic nonhomogeneous elastic media

N. Ya. Kirpichnikova

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Abstract: This paper continues the series of the precedent papers devoted to elaboration of algorithms for computation of the second and next terms of the ray series for the vector of longitudinal displacements in isotropic nonhomogeneous elastic media. The method, proposed in this paper, essentially differs from used earlier ones. This method is based on expansions of the amplitudes, the eikonal and the given task parameters into series with respect to coordinates transversal to the direction of propagation of the considered waves. The comparison of the methodses of computation of the correction terms of the ray expansios for the vector of longitudinal displacements is carried out. Bibliography: 10 titles.
Received: 05.09.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 3, Pages 2673–2684
DOI: https://doi.org/10.1007/BF02355158
Bibliographic databases:
Document Type: Article
UDC: 517.934
Language: Russian
Citation: N. Ya. Kirpichnikova, “On computation of the second term of the ray method for the vector of longitudinal displacements in isotropic nonhomogeneous elastic media”, Mathematical problems in the theory of wave propagation. Part 24, Zap. Nauchn. Sem. POMI, 218, POMI, St. Petersburg, 1994, 25–43; J. Math. Sci. (New York), 86:3 (1997), 2673–2684
Citation in format AMSBIB
\Bibitem{Kir94}
\by N.~Ya.~Kirpichnikova
\paper On computation of the second term of the ray method for the vector of longitudinal displacements in isotropic nonhomogeneous elastic media
\inbook Mathematical problems in the theory of wave propagation. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 218
\pages 25--43
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5971}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1492168}
\zmath{https://zbmath.org/?q=an:0973.74578}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 3
\pages 2673--2684
\crossref{https://doi.org/10.1007/BF02355158}
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