On the solution of the Helmholtz equation on regions with corners.

Abstract:

: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 addition to being analytically perspicuous, the resulting expressions lend themselves to the construction of accurate and efficient numerical algorithms. The results are illustrated by a number of numerical examples.

authors

Serkh K,Rokhlin V

doi

10.1073/pnas.1609578113

subject

Has Abstract

pub_date

2016-08-16 00:00:00

pages

9171-6

issue

33

eissn

0027-8424

issn

1091-6490

pii

1609578113

journal_volume

113

pub_type

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