A high-order accurate algorithm for electrostatics of overlapping disks

Research output: Contribution to journalArticle


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


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  • External Organization - Unknown
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics


  • Continuum percolation, integral equation, numerical method, large-scale calculation
Original languageEnglish
Pages (from-to)1461-1473
JournalJournal of Statistical Physics
Issue number5-6
Publication statusPublished - 1998
Publication categoryResearch
Externally publishedYes

Bibliographic note

The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)

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