Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/7442424
- author
- Helsing, Johan LU and Holst, Anders LU
- organization
- publishing date
- 2015
- 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
- 2016-04-01 10:53:33
- date last changed
- 2022-04-04 22:24:54
@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}},
keywords = {{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 = {{https://lup.lub.lu.se/search/files/2210814/7442444.pdf}},
doi = {{10.1007/s10444-014-9383-y}},
volume = {{41}},
year = {{2015}},
}