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A high-order accurate algorithm for electrostatics of overlapping disks

Helsing, Johan LU (1998) In Journal of Statistical Physics 90(5-6). p.1461-1473
Abstract
A fast and accurate algorithm for the computation of effective

electric and mathematically equivalent properties of composites with

non-smooth interfaces is reported. The algorithm is based on an

integral equation reformulation of the electrostatic partial

differential equation and a fast hierarchical technique for potential

field evaluation. In a numerical example, two hundred large and

strongly inhomogeneous aggregates of randomly overlapping disks are

solved with a relative error of 0.0005
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Continuum percolation, integral equation, numerical method, large-scale calculation
in
Journal of Statistical Physics
volume
90
issue
5-6
pages
1461 - 1473
publisher
Springer
external identifiers
  • scopus:0032024050
ISSN
1572-9613
DOI
10.1023/A:1023204117016
language
English
LU publication?
no
id
83c767a4-77f0-4f09-9b1f-a1298e7b5547 (old id 4622819)
alternative location
http://www.maths.lth.se/na/staff/helsing/JSP98.pdf
date added to LUP
2014-09-08 14:09:29
date last changed
2017-07-02 03:43:32
@article{83c767a4-77f0-4f09-9b1f-a1298e7b5547,
  abstract     = {A fast and accurate algorithm for the computation of effective<br/><br>
electric and mathematically equivalent properties of composites with<br/><br>
non-smooth interfaces is reported. The algorithm is based on an<br/><br>
integral equation reformulation of the electrostatic partial<br/><br>
differential equation and a fast hierarchical technique for potential<br/><br>
field evaluation. In a numerical example, two hundred large and<br/><br>
strongly inhomogeneous aggregates of randomly overlapping disks are<br/><br>
solved with a relative error of 0.0005},
  author       = {Helsing, Johan},
  issn         = {1572-9613},
  keyword      = {Continuum percolation,integral equation,numerical method,large-scale calculation},
  language     = {eng},
  number       = {5-6},
  pages        = {1461--1473},
  publisher    = {Springer},
  series       = {Journal of Statistical Physics},
  title        = {A high-order accurate algorithm for electrostatics of overlapping disks},
  url          = {http://dx.doi.org/10.1023/A:1023204117016},
  volume       = {90},
  year         = {1998},
}