I-BIEM. An Iterative Boundary Integral Equation Method for Computer Solutions of Current Distribution Problems with Complex Boundaries—A New Algorithm I. Theoretical

B. D. Cahan, Daniel Alberto Scherson

Research output: Contribution to journalArticle

10 Citations (Scopus)


A new algorithm for an iterative computation of solutions of Laplace's or Poisson's equations in two dimensions using Green's second identity is presented. This algorithm converges strongly and geometrically and can be applied to curved, irregular, or moving boundaries with nonlinear and/or discontinuous boundary conditions. It has been implemented in Pascal on a number of micro-and minicomputers and applied to several geometries. Cases with known analytic solutions have been tested. Convergence to within 0.1% to 0.01% of the theoretical values are obtained in a few minutes on a microcomputer.

Original languageEnglish
Pages (from-to)285-293
Number of pages9
JournalJournal of the Electrochemical Society
Issue number2
Publication statusPublished - 1988 Jan 1
Externally publishedYes


ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Renewable Energy, Sustainability and the Environment
  • Surfaces, Coatings and Films
  • Electrochemistry
  • Materials Chemistry

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