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On the solution of the Helmholtz equation on regions with corners

In this paper we solve several boundary value problems for the Helmholtz equation on polygonal domains. We observe that when the problems are formulated as the boundary integral equations of potential theory, the solutions are representable by series of appropriately chosen Bessel functions. In addi...

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Detalhes bibliográficos
Publicado no:Proc Natl Acad Sci U S A
Main Authors: Serkh, Kirill, Rokhlin, Vladimir
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 2016
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC4995988/
https://ncbi.nlm.nih.gov/pubmed/27482110
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1609578113
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