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An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces

Helsing, Johan LU and Karlsson, Anders LU (2014) In Journal of Computational Physics 272. p.686-703
Abstract
A high-order accurate, explicit kernel-split, panel-based, Fourier–Nyström discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains. Extensive incorporation of analytic information about singular integral kernels and on-the-fly computation of nearly singular quadrature rules allow for very high achievable accuracy, also in the evaluation of fields close to the boundary of the computational domain.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Singular kernel, Boundary integral equation, Body of revolution, High order discretization, Acoustic resonator, Helmholtz equation
in
Journal of Computational Physics
volume
272
pages
686 - 703
publisher
Elsevier
external identifiers
  • wos:000336620900037
  • scopus:84900811104
ISSN
0021-9991
DOI
10.1016/j.jcp.2014.04.053
language
English
LU publication?
yes
id
449d6988-63fe-4e39-8f61-7aa3e673733a (old id 4436126)
alternative location
http://www.maths.lth.se/na/staff/helsing/JCP14.pdf
date added to LUP
2014-05-07 14:37:53
date last changed
2017-09-10 03:05:07
@article{449d6988-63fe-4e39-8f61-7aa3e673733a,
  abstract     = {A high-order accurate, explicit kernel-split, panel-based, Fourier–Nyström discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains. Extensive incorporation of analytic information about singular integral kernels and on-the-fly computation of nearly singular quadrature rules allow for very high achievable accuracy, also in the evaluation of fields close to the boundary of the computational domain.},
  author       = {Helsing, Johan and Karlsson, Anders},
  issn         = {0021-9991},
  keyword      = {Singular kernel,Boundary integral equation,Body of revolution,High order discretization,Acoustic resonator,Helmholtz equation},
  language     = {eng},
  pages        = {686--703},
  publisher    = {Elsevier},
  series       = {Journal of Computational Physics},
  title        = {An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces},
  url          = {http://dx.doi.org/10.1016/j.jcp.2014.04.053},
  volume       = {272},
  year         = {2014},
}