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

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

doi:10.1109/JMMCT.2022.3230664

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

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

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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 language	English
Pages (from-to)	22-30
Number of pages	9
Journal	IEEE Journal on Multiscale and Multiphysics Computational Techniques
Volume	8
DOIs	https://doi.org/10.1109/JMMCT.2022.3230664
State	Published - 2023

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

Corrosion-related field
boundary integral equation
locally-corrected NystrÃ¶m Method

ASJC Scopus subject areas

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

Access to Document

10.1109/JMMCT.2022.3230664

Cite this

@article{8a75e6f5bb344911a9fd632777083113,

title = "Boundary Integral Equation Method for Electrostatic Field Prediction in Piecewise-Homogeneous Electrolytes",

abstract = "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 Nystr{\"o}m 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.",

keywords = "Corrosion-related field, boundary integral equation, locally-corrected Nystr{\~A}¶m Method",

author = "Pratt, {Christopher K.} and Young, {John C.} and Adams, {Robert J.} and Gedney, {Stephen D.}",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.",

year = "2023",

doi = "10.1109/JMMCT.2022.3230664",

language = "English",

volume = "8",

pages = "22--30",

journal = "IEEE Journal on Multiscale and Multiphysics Computational Techniques",

issn = "2379-8793",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Boundary Integral Equation Method for Electrostatic Field Prediction in Piecewise-Homogeneous Electrolytes

AU - Pratt, Christopher K.

AU - Young, John C.

AU - Adams, Robert J.

AU - Gedney, Stephen D.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Corrosion-related field

KW - boundary integral equation

KW - locally-corrected NystrÃ¶m Method

UR - http://www.scopus.com/inward/record.url?scp=85146233525&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85146233525&partnerID=8YFLogxK

U2 - 10.1109/JMMCT.2022.3230664

DO - 10.1109/JMMCT.2022.3230664

M3 - Article

AN - SCOPUS:85146233525

SN - 2379-8793

VL - 8

SP - 22

EP - 30

JO - IEEE Journal on Multiscale and Multiphysics Computational Techniques

JF - IEEE Journal on Multiscale and Multiphysics Computational Techniques

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this