Second kind integral equations for the classical potential theory on open surfaces I: Analytical apparatus

Shidong Jiang, Vladimir Rokhlin

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

A stable second kind integral equation formulation has been developed for the Dirichlet problem for the Laplace equation in two dimensions, with the boundary conditions specified on a collection of open curves. The performance of the obtained apparatus is illustrated with several numerical examples.

Original languageEnglish (US)
Pages (from-to)40-74
Number of pages35
JournalJournal of Computational Physics
Volume191
Issue number1
DOIs
StatePublished - Oct 10 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Dirichlet problem
  • Finite Hilbert transform
  • Laplace equation
  • Open surface problems
  • Second kind integral equation

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