Anomalous Magnetization Spikes in the Locally Corrected Nyström Discretization of Static Volume Integral Equation using Tetrahedral Cells

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

doi:10.13052/2024.ACES.J.390210

Anomalous Magnetization Spikes in the Locally Corrected Nyström Discretization of Static Volume Integral Equation using Tetrahedral Cells

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

Producción científica: Article › revisión exhaustiva

Resumen

A locally corrected Nyström (LCN) discretization of a magnetostatic volume integral equation is presented. Anomalous magnetization spikes can occur when the underlying mesh uses tetrahedral cells regardless of discretization order. The mechanism for the anomalous magnetization spikes is discussed, and mitigation of the 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 spikes.

Idioma original	English
Páginas (desde-hasta)	169-175
Número de páginas	7
Publicación	Applied Computational Electromagnetics Society Journal
Volumen	39
N.º	2
DOI	https://doi.org/10.13052/2024.ACES.J.390210
Estado	Published - 2024

Nota bibliográfica

Publisher Copyright:
© ACES.

Financiación

This work was supported in part by Office of Naval Research Grants N00014-16-1-3066 and N00014-23-1-2138.

Financiadores	Número del financiador
Office of Naval Research Naval Academy	N00014-16-1-3066, N00014-23-1-2138
Office of Naval Research Naval Academy

ASJC Scopus subject areas

Astronomy and Astrophysics
Electrical and Electronic Engineering

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10.13052/2024.ACES.J.390210

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title = "Anomalous Magnetization Spikes in the Locally Corrected Nystr{\"o}m Discretization of Static Volume Integral Equation using Tetrahedral Cells",

abstract = "A locally corrected Nystr{\"o}m (LCN) discretization of a magnetostatic volume integral equation is presented. Anomalous magnetization spikes can occur when the underlying mesh uses tetrahedral cells regardless of discretization order. The mechanism for the anomalous magnetization spikes is discussed, and mitigation of the 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 spikes.",

keywords = "integral equation methods, locally corrected Nystr{\"o}m method, moment method",

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

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

year = "2024",

doi = "10.13052/2024.ACES.J.390210",

language = "English",

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AU - Young, John C.

AU - Adams, Robert J.

AU - Gedney, Stephen D.

N1 - Publisher Copyright: © ACES.

PY - 2024

Y1 - 2024

N2 - A locally corrected Nyström (LCN) discretization of a magnetostatic volume integral equation is presented. Anomalous magnetization spikes can occur when the underlying mesh uses tetrahedral cells regardless of discretization order. The mechanism for the anomalous magnetization spikes is discussed, and mitigation of the 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 spikes.

AB - A locally corrected Nyström (LCN) discretization of a magnetostatic volume integral equation is presented. Anomalous magnetization spikes can occur when the underlying mesh uses tetrahedral cells regardless of discretization order. The mechanism for the anomalous magnetization spikes is discussed, and mitigation of the 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 spikes.

KW - integral equation methods

KW - locally corrected Nyström method

KW - moment method

UR - https://www.scopus.com/pages/publications/85196748155

UR - https://www.scopus.com/pages/publications/85196748155#tab=citedBy

U2 - 10.13052/2024.ACES.J.390210

DO - 10.13052/2024.ACES.J.390210

M3 - Article

AN - SCOPUS:85196748155

SN - 1054-4887

VL - 39

SP - 169

EP - 175

JO - Applied Computational Electromagnetics Society Journal

JF - Applied Computational Electromagnetics Society Journal

IS - 2

ER -

Anomalous Magnetization Spikes in the Locally Corrected Nyström Discretization of Static Volume Integral Equation using Tetrahedral Cells

Resumen

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Financiación

ASJC Scopus subject areas

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