Efficient Jacobian Matrix Determination for H2Representations of Nonlinear Electrostatic Surface Integral Equations

John C. Young; Robert J. Adams; Stephen D. Gedney

doi:10.23919/ACES49320.2020.9196119

Efficient Jacobian Matrix Determination for H₂Representations of Nonlinear Electrostatic Surface Integral Equations

John C. Young
, Robert J. Adams
, Stephen D. Gedney

Producción científica: Conference contribution › revisión exhaustiva

Resumen

In this paper, a nonlinear electrostatic surface integral equation is presented that is suitable for predicting corrosion-related fields. Nonlinear behavior arises due to electrochemical reactions at polarized surfaces. Hierarchical H2 matrices are used to compress the discretized integral equation for the fast solution of large problems. A technique based on randomized linear algebra is discussed for the efficient computation of the Jacobian matrix required at each iteration of a nonlinear solution.

Idioma original	English
Título de la publicación alojada	2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020
ISBN (versión digital)	9781733509602
DOI	https://doi.org/10.23919/ACES49320.2020.9196119
Estado	Published - jul 2020
Evento	2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020 - Virtual, Monterey, United States Duración: jul 27 2020 → jul 31 2020

Serie de la publicación

Nombre	2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020

Conference

Conference	2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020
País/Territorio	United States
Ciudad	Virtual, Monterey
Período	7/27/20 → 7/31/20

Nota bibliográfica

Publisher Copyright:
© 2020 Applied Computational Electromagnetics Society (ACES).

Financiación

This work was supported in part by Office of Naval Research Grant N00014-16-1-3066.

Financiadores	Número del financiador
Office of Naval Research	N00014-16-1-3066

ASJC Scopus subject areas

Radiation
Computer Networks and Communications
Electrical and Electronic Engineering
Parasitology
Instrumentation

Acceder al documento

10.23919/ACES49320.2020.9196119

Otros archivos y enlaces

Citar esto

Young, J. C., Adams, R. J., & Gedney, S. D. (2020). Efficient Jacobian Matrix Determination for H₂Representations of Nonlinear Electrostatic Surface Integral Equations. En 2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020 Artículo 9196119 (2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020). https://doi.org/10.23919/ACES49320.2020.9196119

Young, John C. ; Adams, Robert J. ; Gedney, Stephen D. / Efficient Jacobian Matrix Determination for H₂Representations of Nonlinear Electrostatic Surface Integral Equations. 2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020. 2020. (2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020).

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title = "Efficient Jacobian Matrix Determination for H2Representations of Nonlinear Electrostatic Surface Integral Equations",

abstract = "In this paper, a nonlinear electrostatic surface integral equation is presented that is suitable for predicting corrosion-related fields. Nonlinear behavior arises due to electrochemical reactions at polarized surfaces. Hierarchical H2 matrices are used to compress the discretized integral equation for the fast solution of large problems. A technique based on randomized linear algebra is discussed for the efficient computation of the Jacobian matrix required at each iteration of a nonlinear solution.",

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note = "Publisher Copyright: {\textcopyright} 2020 Applied Computational Electromagnetics Society (ACES).; 2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020 ; Conference date: 27-07-2020 Through 31-07-2020",

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Young, JC , Adams, RJ & Gedney, SD 2020, Efficient Jacobian Matrix Determination for H₂Representations of Nonlinear Electrostatic Surface Integral Equations. En 2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020., 9196119, 2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020, 2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020, Virtual, Monterey, United States, 7/27/20. https://doi.org/10.23919/ACES49320.2020.9196119

Efficient Jacobian Matrix Determination for H₂Representations of Nonlinear Electrostatic Surface Integral Equations. / Young, John C.; Adams, Robert J.; Gedney, Stephen D.
2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020. 2020. 9196119 (2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020).

Producción científica: Conference contribution › revisión exhaustiva

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AB - In this paper, a nonlinear electrostatic surface integral equation is presented that is suitable for predicting corrosion-related fields. Nonlinear behavior arises due to electrochemical reactions at polarized surfaces. Hierarchical H2 matrices are used to compress the discretized integral equation for the fast solution of large problems. A technique based on randomized linear algebra is discussed for the efficient computation of the Jacobian matrix required at each iteration of a nonlinear solution.

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KW - hierarchical matrices

KW - nonlinear integral equation

KW - randomized linear algebra

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Young JC , Adams RJ, Gedney SD. Efficient Jacobian Matrix Determination for H₂Representations of Nonlinear Electrostatic Surface Integral Equations. En 2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020. 2020. 9196119. (2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020). doi: 10.23919/ACES49320.2020.9196119