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Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems

Helsing, Johan LU and Holst, Anders LU (2015) In Advances in Computational Mathematics 41(3). p.691-708
Abstract
The incorporation of analytical kernel information is exploited in the construction of Nyström discretization schemes for integral equations modeling planar Helmholtz boundary value problems. Splittings of kernels and matrices, coarse and fine grids, high-order polynomial interpolation, product integration performed on the fly, and iterative solution are some of the numerical techniques used to seek rapid and stable convergence of computed fields in the entire computational domain.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
high-order quadrature, singular kernel, Helmholtz equation, Nyström discretization, integral equation
in
Advances in Computational Mathematics
volume
41
issue
3
pages
691 - 708
publisher
Springer
external identifiers
  • wos:000356540600009
  • scopus:84931561524
ISSN
1019-7168
DOI
10.1007/s10444-014-9383-y
language
English
LU publication?
yes
id
1d8401ae-766e-45b8-9d84-428aa7705ce2 (old id 7442424)
alternative location
http://www.maths.lth.se/na/staff/helsing/helsholst.pdf
date added to LUP
2015-07-23 13:32:15
date last changed
2017-07-23 03:26:08
@article{1d8401ae-766e-45b8-9d84-428aa7705ce2,
  abstract     = {The incorporation of analytical kernel information is exploited in the construction of Nyström discretization schemes for integral equations modeling planar Helmholtz boundary value problems. Splittings of kernels and matrices, coarse and fine grids, high-order polynomial interpolation, product integration performed on the fly, and iterative solution are some of the numerical techniques used to seek rapid and stable convergence of computed fields in the entire computational domain.},
  author       = {Helsing, Johan and Holst, Anders},
  issn         = {1019-7168},
  keyword      = {high-order quadrature,singular kernel,Helmholtz equation,Nyström discretization,integral equation},
  language     = {eng},
  number       = {3},
  pages        = {691--708},
  publisher    = {Springer},
  series       = {Advances in Computational Mathematics},
  title        = {Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems},
  url          = {http://dx.doi.org/10.1007/s10444-014-9383-y},
  volume       = {41},
  year         = {2015},
}