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Approximate solution of boundary integral equations for biharmonic problems in non-smooth domains

Didenko, Victor and Helsing, Johan LU (2013) 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) 13(1). p.435-438
Abstract
This paper deals with approximate solutions to integral equations arising in boundary value problems for the biharmonic equation in simply connected piecewise smooth domains. The approximation method considered demonstrates excellent convergence even in the case of boundary conditions discontinuous at corner points. In an application we obtain very accurate approximations for some characteristics of two-dimensional Stokes flow in non-smooth domains.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings in Applied Mathematics and Mechanics
editor
Cvetković, L. ; Atanacković, T. and Kostić, V.
volume
13
issue
1
pages
4 pages
publisher
John Wiley & Sons Inc.
conference name
84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
conference location
Novi Sad, Serbia
conference dates
2013-03-18 - 2013-03-22
ISSN
1617-7061
DOI
10.1002/pamm.201310212
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: Numerical Analysis (011015004)
id
84d01e04-1cfd-4be7-8208-70a315885042 (old id 4226444)
alternative location
http://www.maths.lth.se/na/staff/helsing/VJ5.pdf
date added to LUP
2016-04-01 15:06:43
date last changed
2021-11-15 11:36:31
@inproceedings{84d01e04-1cfd-4be7-8208-70a315885042,
  abstract     = {{This paper deals with approximate solutions to integral equations arising in boundary value problems for the biharmonic equation in simply connected piecewise smooth domains. The approximation method considered demonstrates excellent convergence even in the case of boundary conditions discontinuous at corner points. In an application we obtain very accurate approximations for some characteristics of two-dimensional Stokes flow in non-smooth domains.}},
  author       = {{Didenko, Victor and Helsing, Johan}},
  booktitle    = {{Proceedings in Applied Mathematics and Mechanics}},
  editor       = {{Cvetković, L. and Atanacković, T. and Kostić, V.}},
  issn         = {{1617-7061}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{435--438}},
  publisher    = {{John Wiley & Sons Inc.}},
  title        = {{Approximate solution of boundary integral equations for biharmonic problems in non-smooth domains}},
  url          = {{https://lup.lub.lu.se/search/files/4345011/4254527.pdf}},
  doi          = {{10.1002/pamm.201310212}},
  volume       = {{13}},
  year         = {{2013}},
}