Advanced

Corner singularities for elliptic problems: special basis functions versus ‘brute force’

Helsing, Johan LU (2000) In Communications in Numerical Methods in Engineering 16(1). p.37-46
Abstract
A method is presented for the fast and accurate solution of elliptic boundary value problems on domains with corners. The method is based on integral equations and Nyström discretization. Close to corners two representations for the solution coexist — a pointwise representation and a representation in terms of special basis functions. Mappings and kernel evaluations are constructed on a symmetric corner panel. In a numerical example the electrostatic equation is solved for an array of square prisms. A dramatic improvement in efficiency over previous schemes is observed.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
corner, singularity, elliptic problem, integral equation of Fredholm type
in
Communications in Numerical Methods in Engineering
volume
16
issue
1
pages
37 - 46
publisher
John Wiley & Sons
external identifiers
  • scopus:0033903666
ISSN
1069-8299
DOI
10.1002/(SICI)1099-0887(200001)16:1<37::AID-CNM307>3.0.CO;2-1
language
English
LU publication?
no
id
dabbaed2-f3e2-4ff1-8278-ea029fb9f96f (old id 4254291)
alternative location
http://www.maths.lth.se/na/staff/helsing/CNME00.pdf
date added to LUP
2014-02-03 12:44:05
date last changed
2017-08-13 03:48:03
@article{dabbaed2-f3e2-4ff1-8278-ea029fb9f96f,
  abstract     = {A method is presented for the fast and accurate solution of elliptic boundary value problems on domains with corners. The method is based on integral equations and Nyström discretization. Close to corners two representations for the solution coexist — a pointwise representation and a representation in terms of special basis functions. Mappings and kernel evaluations are constructed on a symmetric corner panel. In a numerical example the electrostatic equation is solved for an array of square prisms. A dramatic improvement in efficiency over previous schemes is observed.},
  author       = {Helsing, Johan},
  issn         = {1069-8299},
  keyword      = {corner,singularity,elliptic problem,integral equation of Fredholm type},
  language     = {eng},
  number       = {1},
  pages        = {37--46},
  publisher    = {John Wiley & Sons},
  series       = {Communications in Numerical Methods in Engineering},
  title        = {Corner singularities for elliptic problems: special basis functions versus ‘brute force’},
  url          = {http://dx.doi.org/10.1002/(SICI)1099-0887(200001)16:1<37::AID-CNM307>3.0.CO;2-1},
  volume       = {16},
  year         = {2000},
}