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Title
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Fourier-Hankel solution of the Robin problem for the Helmholtz equation in supershaped annular domains
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Author
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Abstract
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| The Robin problem for the Helmholtz equation in normal-polar annuli is addressed by using a suitable Fourier-Hankel series technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by the so-called superformula introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. |
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Language
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English
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Source (journal)
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Boundary value problems. - New York, N.Y.
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Publication
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New York, N.Y.
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2013
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ISSN
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1687-2762
1687-2770
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DOI
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10.1186/1687-2770-2013-253
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Volume/pages
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(2013)
, 11 p.
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Article Reference
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253
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ISI
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000340237600004
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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