Boundary Integral Equation Method for Electrostatic Field Prediction in Piecewise-Homogeneous Electrolytes

Christopher K. Pratt, John Young, Robert J. Adams, Stephen D. Gedney

Research output: Contribution to journalArticlepeer-review


This article presents a boundary integral equation formulation for the prediction of electrostatic fields, potentials, and currents in regions comprising piecewise-homogeneous electrolytes. The integral equation is formulated in terms of the boundary electric potentials and normal electric current densities and is discretized using the locally corrected Nyström method. The method is validated by comparison to analytic solution data for both linear and nonlinear canonical problems. Solution convergence is investigated with respect to mesh discretization and basis order.

Original languageEnglish
Pages (from-to)22-30
Number of pages9
JournalIEEE Journal on Multiscale and Multiphysics Computational Techniques
StatePublished - 2023

Bibliographical note

Funding Information:
This work was supported in part by the Office of Naval Research under Grants N00014-16-1-3066, N00014-21-1-2599, and N00014-19-1-2729

Publisher Copyright:
© 2016 IEEE.


  • boundary integral equation
  • Corrosion-related field
  • locally-corrected Nyström Method

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)
  • Computational Mathematics


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