Integral equation methods for elastance and mobility problems in two dimensions

Manas Rachh, L. Greengard

Research output: Contribution to journalArticle

Abstract

We present a new, unified approach to the solution of the elastance problem in electrostatics and the mobility problem in Stokes flow. More precisely, we construct integral representations that lead to resonance-free Fredholm integral equations of the second kind and well-conditioned linear systems upon discretization. By coupling our integral equations with high order quadrature and fast multipole acceleration, large-scale problems can be solved with only modest computing resources. We also discuss some applications of these boundary value problems in applied physics.

Original languageEnglish (US)
Pages (from-to)2889-2909
Number of pages21
JournalSIAM Journal on Numerical Analysis
Volume54
Issue number5
DOIs
StatePublished - Jan 1 2016

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Keywords

  • Elastance
  • Fredholm integral equations
  • Mobility

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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