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

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

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

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

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.

Keywords

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

ASJC Scopus subject areas

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

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10.1109/JMMCT.2022.3230664

Cite this

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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.",

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

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: {\textcopyright} 2016 IEEE.",

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doi = "10.1109/JMMCT.2022.3230664",

language = "English",

volume = "8",

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AU - Young, John

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.

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KW - Corrosion-related field

KW - locally-corrected NystrÃ¶m Method

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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

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