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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 1, Pages 45–54 (Mi sjvm457)  
This article is cited in 17 scientific papers (total in 17 papers)

Application of absorbing boundary conditions M-PML for numerical simulation of wave propagation in anisotropic media. Part II: Stability

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 (1623 kB) Citations (17)
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Abstract: This paper deals with studies of the detailed properties of absorbing boundary conditions M-PML (Multiaxial Perfectly Matched Layer) that arise when a computational domain is limited. These conditions are stable for any type of anisotropy with a correct choice of a stabilization parameter. In the first part of this paper [3], the authors show a linear dependence of the reflectivity on the stabilization parameter. Based on this study, the problem of finding the optimal stabilizing parameter, which provides stability and minimal reflection has been formulated. In this paper, we provide a necessary stability condition of M-PML, which allows limiting the lower value of the stabilizing parameter. It is shown that this criterion is not sufficient.
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, 2012, Volume 5, Issue 1, Pages 36–44
DOI: https://doi.org/10.1134/S1995423912010041
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. N. Dmitriev, V. V. Lisitsa, “Application of absorbing boundary conditions M-PML for numerical simulation of wave propagation in anisotropic media. Part II: Stability”, Sib. Zh. Vychisl. Mat., 15:1 (2012), 45–54; Num. Anal. Appl., 5:1 (2012), 36–44
Citation in format AMSBIB
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\by M.~N.~Dmitriev, V.~V.~Lisitsa
\paper Application of absorbing boundary conditions M-PML for numerical simulation of wave propagation in anisotropic media. Part~II: Stability
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 1
\pages 45--54
\mathnet{http://mi.mathnet.ru/sjvm457}
\elib{https://elibrary.ru/item.asp?id=17978978}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 1
\pages 36--44
\crossref{https://doi.org/10.1134/S1995423912010041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857806782}
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    This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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