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

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

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.

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Veröffentlicht in:Numerical analysis and applications 2012-04, Vol.5 (2), p.116-123
Hauptverfasser: Bendali, A., Cocquet, P. -H., Tordeux, S.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
Mathematics
Mathematics and Statistics
Numerical Analysis
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Beschreibung
Zusammenfassung: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.
ISSN:1995-4239
1995-4247
DOI:10.1134/S1995423912020036