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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 141–149 (Mi sjvm464)  
This article is cited in 7 scientific papers (total in 7 papers)

Scattering of a scalar time-harmonic wave by $N$ small spheres by the method of matched asymptotic expansions

A. Bendaliab, P.-H. Cocquetac, S. Tordeuxdb

a University of Toulouse, IMT, UMR CNRS 5219, INSA-Toulouse, France
b Centre Europeen de Recherche et de Formation Avancee en Calcul Scientifique (CERFACS), Toulouse, France
c ONERA, Toulouse, France
d Project-Team Magique 3D, INRIA and LMA, UMR CNRS 5142, University of Pau, France
Full-text PDF (214 kB) Citations (7)
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Abstract: In this paper, we construct an asymptotic expansion of a time-harmonic wave scattered by $N$ small spheres. This construction is based on the method of matched asymptotic expansions. Error estimates give a theoretical background to the approach.
Key words: Helmholtz equations, matched asymptotic expansions, homogenization.
Received: 10.10.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 2, Pages 116–123
DOI: https://doi.org/10.1134/S1995423912020036
Bibliographic databases:
Document Type: Article
MSC: 35J05, 34E05, 33E15, 35B25, 74Q15
Language: Russian
Citation: A. Bendali, P.-H. Cocquet, S. Tordeux, “Scattering of a scalar time-harmonic wave by $N$ small spheres by the method of matched asymptotic expansions”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 141–149; Num. Anal. Appl., 5:2 (2012), 116–123
Citation in format AMSBIB
\Bibitem{BenCocTor12}
\by A.~Bendali, P.-H.~Cocquet, S.~Tordeux
\paper Scattering of a~scalar time-harmonic wave by~$N$ small spheres by the method of matched asymptotic expansions
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 2
\pages 141--149
\mathnet{http://mi.mathnet.ru/sjvm464}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 2
\pages 116--123
\crossref{https://doi.org/10.1134/S1995423912020036}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862149006}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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