A high-order accurate algorithm for electrostatics of overlapping disks

Summary, in English

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

• Author: Johan Helsing
• Publishing year: 1998
• Language: English
• Pages: 1461-1473
• Publication/Series: Journal of Statistical Physics
• Volume: 90
• Issue: 5-6
• Full text: - 1 MB; Download statistics
• Links: http://www.maths.lth.se/na/staff/helsing/JSP98.pdf; http://dx.doi.org/10.1023/A:1023204117016
• Document type: Journal article
• Publisher: Springer
• Topic: Mathematics
• Keywords: Continuum percolation; integral equation; numerical method; large-scale calculation
• Status: Published
• ISBN/ISSN/Other: ISSN: 1572-9613