A high-order accurate algorithm for electrostatics of overlapping disks
(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:
https://lup.lub.lu.se/record/4622819
- author
- Helsing, Johan LU
- publishing date
- 1998
- 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
- 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
- 83c767a4-77f0-4f09-9b1f-a1298e7b5547 (old id 4622819)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/JSP98.pdf
- date added to LUP
- 2016-04-01 12:24:27
- date last changed
- 2022-01-27 03:16:29
@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}},
keywords = {{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 = {{https://lup.lub.lu.se/search/files/2910595/4622982.pdf}},
doi = {{10.1023/A:1023204117016}},
volume = {{90}},
year = {{1998}},
}