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

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publication2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020
ISBN (Electronic)9781733509602
DOIs
StatePublished - Jul 2020
Event2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020 - Virtual, Monterey, United States
Duration: Jul 27 2020Jul 31 2020

Publication series

Name2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020

Conference

Conference2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020
Country/TerritoryUnited States
CityVirtual, Monterey
Period7/27/207/31/20

Bibliographical note

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

Funding

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

FundersFunder number
Office of Naval ResearchN00014-16-1-3066

    Keywords

    • corrosion-related fields
    • hierarchical matrices
    • nonlinear integral equation
    • randomized linear algebra

    ASJC Scopus subject areas

    • Radiation
    • Computer Networks and Communications
    • Electrical and Electronic Engineering
    • Parasitology
    • Instrumentation

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