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Faster convergence and higher accuracy for the Dirichlet-Neumann map

Helsing, Johan LU (2009) In Journal of Computational Physics 228(7). p.2578-2586
Abstract
New techniques allow for more efficient boundary integral algorithms to compute the Dirichlet–Neumann map for Laplace’s equation in two-dimensional exterior domains. Novelties include a new post-processor which reduces the need for discretization points with 50%, a new integral equation which reduces the error for resolved geometries with a factor equal to the system size, systematic use of regularization which reduces the error even further, and adaptive mesh generation based on kernel resolution.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Fast multipole method, Integral equations, Dirichlet–Neumann map, Potential theory, Nyström method
in
Journal of Computational Physics
volume
228
issue
7
pages
2578 - 2586
publisher
Elsevier
external identifiers
  • wos:000264291900015
  • scopus:60149112743
ISSN
0021-9991
DOI
10.1016/j.jcp.2008.12.025
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
e6760afd-1400-4203-98c7-a30e62115004 (old id 1293815)
alternative location
http://www.maths.lth.se/na/staff/helsing/JCP09a.pdf
date added to LUP
2016-04-01 11:39:57
date last changed
2021-06-16 03:46:50
@article{e6760afd-1400-4203-98c7-a30e62115004,
  abstract     = {New techniques allow for more efficient boundary integral algorithms to compute the Dirichlet–Neumann map for Laplace’s equation in two-dimensional exterior domains. Novelties include a new post-processor which reduces the need for discretization points with 50%, a new integral equation which reduces the error for resolved geometries with a factor equal to the system size, systematic use of regularization which reduces the error even further, and adaptive mesh generation based on kernel resolution.},
  author       = {Helsing, Johan},
  issn         = {0021-9991},
  language     = {eng},
  number       = {7},
  pages        = {2578--2586},
  publisher    = {Elsevier},
  series       = {Journal of Computational Physics},
  title        = {Faster convergence and higher accuracy for the Dirichlet-Neumann map},
  url          = {https://lup.lub.lu.se/search/files/2585381/1370442.pdf},
  doi          = {10.1016/j.jcp.2008.12.025},
  volume       = {228},
  year         = {2009},
}