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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 4, Pages 333–344 (Mi sjvm446)  
This article is cited in 22 scientific papers (total in 22 papers)

Application of M-PML absorbing boundary conditions to the numerical simulation of wave propagation in anisotropic media. Part I: reflectivity

M. N. Dmitrievab, V. V. Lisitsaa

a A. A. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
Full-text PDF (254 kB) Citations (22)
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Abstract: This paper presents a detailed study of the construction of reflectionless boundary conditions for anisotropic elastic problems. A Multiaxial Perfectly Matched Layer (M-PML) approach is considered. With a proper stabilization parameter, the M-PML ensures solution stability for arbitrary anisotropic media. It is proved that this M-PML modification is not perfectly matched, and the reflectivity the M-PML exceeds that of the standard PML. Moreover, the reflection coefficient linearly depends on the stabilization parameter. A problem of constructing an optimal stabilization parameter is formulated as follows: find a minimal possible parameter that ensures stability. This problem is considered in a second paper on this work.
Key words: anisotropy, reflectionless boundary conditions, perfectly matched layer, elastic wave equations.
Received: 17.12.2010
Revised: 26.01.2011
English version:
Numerical Analysis and Applications, 2011, Volume 4, Issue 4, Pages 271–280
DOI: https://doi.org/10.1134/S199542391104001X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. N. Dmitriev, V. V. Lisitsa, “Application of M-PML absorbing boundary conditions to the numerical simulation of wave propagation in anisotropic media. Part I: reflectivity”, Sib. Zh. Vychisl. Mat., 14:4 (2011), 333–344; Num. Anal. Appl., 4:4 (2011), 271–280
Citation in format AMSBIB
\Bibitem{DmiLis11}
\by M.~N.~Dmitriev, V.~V.~Lisitsa
\paper Application of M-PML absorbing boundary conditions to the numerical simulation of wave propagation in anisotropic media. Part~I: reflectivity
\jour Sib. Zh. Vychisl. Mat.
\yr 2011
\vol 14
\issue 4
\pages 333--344
\mathnet{http://mi.mathnet.ru/sjvm446}
\transl
\jour Num. Anal. Appl.
\yr 2011
\vol 4
\issue 4
\pages 271--280
\crossref{https://doi.org/10.1134/S199542391104001X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84155189741}
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