Anomalous Current Spikes in the Locally Corrected Nystrom Discretization of Volume Integral Equations

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

doi:10.23919/ACES57841.2023.10114739

Anomalous Current Spikes in the Locally Corrected Nystrom Discretization of Volume Integral Equations

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A locally corrected Nystrom (LCN) discretization of a magnetostatic volume integral equation is presented. Anomalous current spikes are observed to occur when the underlying mesh uses tetrahedral cells. The mechanism for the anomalous current spikes is discussed, and mitigation of the current spikes through use of an LCN-to-Moment Method conversion is investigated. Results are presented validating that the LCN-to-Moment Method suppresses the anomalous current spikes.

Original language	English
Title of host publication	2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023
ISBN (Electronic)	9781733509633
DOIs	https://doi.org/10.23919/ACES57841.2023.10114739
State	Published - 2023
Event	2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023 - Monterey, United States Duration: Mar 26 2023 → Mar 30 2023

Publication series

Name	2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023

Conference

Conference	2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023
Country/Territory	United States
City	Monterey
Period	3/26/23 → 3/30/23

Bibliographical note

Funding Information:
This work was supported in part by Office of Naval Research Grants N00014-16-1-3066 and N00014-21-1-2599.

Publisher Copyright:
© 2023 ACES.

Keywords

integral equation methods
locally corrected Nystrom method
moment method

ASJC Scopus subject areas

Computational Mathematics
Instrumentation
Radiation
Computer Networks and Communications
Signal Processing

Access to Document

10.23919/ACES57841.2023.10114739

Cite this

Young, J., Adams, R. J., & Gedney, S. D. (2023). Anomalous Current Spikes in the Locally Corrected Nystrom Discretization of Volume Integral Equations. In 2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023 (2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023). https://doi.org/10.23919/ACES57841.2023.10114739

@inproceedings{01afb1a5103b46829a20e124e1457b5e,

title = "Anomalous Current Spikes in the Locally Corrected Nystrom Discretization of Volume Integral Equations",

abstract = "A locally corrected Nystrom (LCN) discretization of a magnetostatic volume integral equation is presented. Anomalous current spikes are observed to occur when the underlying mesh uses tetrahedral cells. The mechanism for the anomalous current spikes is discussed, and mitigation of the current spikes through use of an LCN-to-Moment Method conversion is investigated. Results are presented validating that the LCN-to-Moment Method suppresses the anomalous current spikes.",

keywords = "integral equation methods, locally corrected Nystrom method, moment method",

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

note = "Funding Information: This work was supported in part by Office of Naval Research Grants N00014-16-1-3066 and N00014-21-1-2599. Publisher Copyright: {\textcopyright} 2023 ACES.; 2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023 ; Conference date: 26-03-2023 Through 30-03-2023",

year = "2023",

doi = "10.23919/ACES57841.2023.10114739",

language = "English",

series = "2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023",

booktitle = "2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023",

}

Young, J , Adams, RJ & Gedney, SD 2023, Anomalous Current Spikes in the Locally Corrected Nystrom Discretization of Volume Integral Equations. in 2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023. 2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023, 2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023, Monterey, United States, 3/26/23. https://doi.org/10.23919/ACES57841.2023.10114739

Anomalous Current Spikes in the Locally Corrected Nystrom Discretization of Volume Integral Equations. / Young, John ; Adams, Robert J.; Gedney, Stephen D.
2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023. 2023. (2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Anomalous Current Spikes in the Locally Corrected Nystrom Discretization of Volume Integral Equations

AU - Young, John

AU - Adams, Robert J.

AU - Gedney, Stephen D.

PY - 2023

Y1 - 2023

N2 - A locally corrected Nystrom (LCN) discretization of a magnetostatic volume integral equation is presented. Anomalous current spikes are observed to occur when the underlying mesh uses tetrahedral cells. The mechanism for the anomalous current spikes is discussed, and mitigation of the current spikes through use of an LCN-to-Moment Method conversion is investigated. Results are presented validating that the LCN-to-Moment Method suppresses the anomalous current spikes.

AB - A locally corrected Nystrom (LCN) discretization of a magnetostatic volume integral equation is presented. Anomalous current spikes are observed to occur when the underlying mesh uses tetrahedral cells. The mechanism for the anomalous current spikes is discussed, and mitigation of the current spikes through use of an LCN-to-Moment Method conversion is investigated. Results are presented validating that the LCN-to-Moment Method suppresses the anomalous current spikes.

KW - integral equation methods

KW - locally corrected Nystrom method

KW - moment method

UR - http://www.scopus.com/inward/record.url?scp=85160007866&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85160007866&partnerID=8YFLogxK

U2 - 10.23919/ACES57841.2023.10114739

DO - 10.23919/ACES57841.2023.10114739

M3 - Conference contribution

AN - SCOPUS:85160007866

T3 - 2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023

BT - 2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023

T2 - 2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023

Y2 - 26 March 2023 through 30 March 2023

ER -

Young J , Adams RJ, Gedney SD. Anomalous Current Spikes in the Locally Corrected Nystrom Discretization of Volume Integral Equations. In 2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023. 2023. (2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023). doi: 10.23919/ACES57841.2023.10114739

Anomalous Current Spikes in the Locally Corrected Nystrom Discretization of Volume Integral Equations

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this