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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.
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author
and
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
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Electromagnetic Theory (LUR000030), Numerical Analysis (011015004), Department of Electroscience (011041000)
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
2016-04-01 10:02:08
date last changed
2021-10-10 03:37:37
@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},
  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          = {https://lup.lub.lu.se/search/files/1500028/4581003.pdf},
  doi          = {10.1016/j.jcp.2014.04.053},
  volume       = {272},
  year         = {2014},
}