An integral equation solution for the steady-state current at a periodic array of surface microelectrodes

S. K. Lucas, R. Sipcic, Howard A. Stone

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

An integral equation approach is developed for the problem of determining the steady-state current to a periodic array of microelectrodes imbedded in an otherwise insulating plane. The formulation accounts for both surface electrode and bulk fluid reactions and evaluates Green's functions for periodic systems using convergence acceleration techniques. Numerical results are presented for disc-shaped microelectrodes at the center of rectangular periodic cells for a large range of dimensionless surface and bulk reaction rates and periodic cell sizes.

Original languageEnglish (US)
Pages (from-to)1615-1638
Number of pages24
JournalSIAM Journal on Applied Mathematics
Volume57
Issue number6
StatePublished - Dec 1 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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