Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Fundamental and singular solutions of Lamé equations for media with arbitrary elastic anisotropy

Author: Sergey V. Kuznetsov
Journal: Quart. Appl. Math. 63 (2005), 455-467
MSC (2000): Primary 35E05, 74S15
DOI: https://doi.org/10.1090/S0033-569X-05-00969-X
Published electronically: August 17, 2005
MathSciNet review: 2169028
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Abstract: Fundamental and singular solutions of Lamé equations for media with arbitrary elastic anisotropy are constructed on the basis of multipolar expansions (expansions in spherical harmonics) of symbols and the corresponding operators. Theorems of convergence are formulated. A posteriori error estimates are presented.

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Additional Information

Sergey V. Kuznetsov
Affiliation: Institute for Problems in Mechanics, Moscow 119526, Russia

DOI: https://doi.org/10.1090/S0033-569X-05-00969-X
Keywords: Fundamental solution, singular solution, Lam\'e equations, multipolar series, spherical harmonics
Received by editor(s): June 1, 2004
Published electronically: August 17, 2005
Article copyright: © Copyright 2005 Brown University

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