A Provably Stable FDTD Subgridding Technique for Transient Electromagnetic Analysis

Yu Cheng; Lilin Li; Xiang Hua Wang; Shunchuan Yang; Zhizhang Chen

doi:10.1109/AP-S/USNC-URSI47032.2022.9886485

A Provably Stable FDTD Subgridding Technique for Transient Electromagnetic Analysis

Yu Cheng
, Lilin Li
, Xiang Hua Wang
, Shunchuan Yang^*
, Zhizhang Chen

^*Corresponding author for this work

School of Electronic and Information Engineering

Beihang University
Dalhousie University

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

4 Scopus citations

Abstract

A provably stable subgridding finite-difference time-domain (FDTD) method is proposed to accurately and efficiently solve transient electromagnetic problems with multi-scale structures. By carefully adding more field components on the boundaries of computational domain, several summationby-parts (SBP) operators are constructed to approximate the Maxwell's equations. Through using the simultaneous approximation terms (SAT) technique, boundary conditions are weakly enforced. The proposed SBP-SAT FDTD subgridding method is not only accurate and efficient, but also can simply model complex structures in the practical simulations. Numerical results verify its accuracy, efficiency and flexibility.

Original language	English
Title of host publication	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	669-670
Number of pages	2
ISBN (Electronic)	9781665496582
DOIs	https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886485
State	Published - 2022
Event	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Denver, United States Duration: 10 Jul 2022 → 15 Jul 2022

Publication series

Name	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings

Conference

Conference	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022
Country/Territory	United States
City	Denver
Period	10/07/22 → 15/07/22

Keywords

finite-difference time-domain (FDTD)
simultaneous approximation terms (SAT)
stability
subgridding
summation-by-parts (SBP)

Access to Document

10.1109/AP-S/USNC-URSI47032.2022.9886485

Cite this

Cheng, Y., Li, L., Wang, X. H., Yang, S., & Chen, Z. (2022). A Provably Stable FDTD Subgridding Technique for Transient Electromagnetic Analysis. In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings (pp. 669-670). (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886485

Cheng, Yu ; Li, Lilin ; Wang, Xiang Hua et al. / A Provably Stable FDTD Subgridding Technique for Transient Electromagnetic Analysis. 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2022. pp. 669-670 (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings).

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title = "A Provably Stable FDTD Subgridding Technique for Transient Electromagnetic Analysis",

abstract = "A provably stable subgridding finite-difference time-domain (FDTD) method is proposed to accurately and efficiently solve transient electromagnetic problems with multi-scale structures. By carefully adding more field components on the boundaries of computational domain, several summationby-parts (SBP) operators are constructed to approximate the Maxwell's equations. Through using the simultaneous approximation terms (SAT) technique, boundary conditions are weakly enforced. The proposed SBP-SAT FDTD subgridding method is not only accurate and efficient, but also can simply model complex structures in the practical simulations. Numerical results verify its accuracy, efficiency and flexibility.",

keywords = "finite-difference time-domain (FDTD), simultaneous approximation terms (SAT), stability, subgridding, summation-by-parts (SBP)",

author = "Yu Cheng and Lilin Li and Wang, \{Xiang Hua\} and Shunchuan Yang and Zhizhang Chen",

note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 ; Conference date: 10-07-2022 Through 15-07-2022",

year = "2022",

doi = "10.1109/AP-S/USNC-URSI47032.2022.9886485",

language = "英语",

series = "2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings",

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Cheng, Y, Li, L, Wang, XH, Yang, S & Chen, Z 2022, A Provably Stable FDTD Subgridding Technique for Transient Electromagnetic Analysis. in 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 669-670, 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022, Denver, United States, 10/07/22. https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886485

A Provably Stable FDTD Subgridding Technique for Transient Electromagnetic Analysis. / Cheng, Yu; Li, Lilin; Wang, Xiang Hua et al.
2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2022. p. 669-670 (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings).

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

TY - GEN

T1 - A Provably Stable FDTD Subgridding Technique for Transient Electromagnetic Analysis

AU - Cheng, Yu

AU - Li, Lilin

AU - Wang, Xiang Hua

AU - Yang, Shunchuan

AU - Chen, Zhizhang

PY - 2022

Y1 - 2022

N2 - A provably stable subgridding finite-difference time-domain (FDTD) method is proposed to accurately and efficiently solve transient electromagnetic problems with multi-scale structures. By carefully adding more field components on the boundaries of computational domain, several summationby-parts (SBP) operators are constructed to approximate the Maxwell's equations. Through using the simultaneous approximation terms (SAT) technique, boundary conditions are weakly enforced. The proposed SBP-SAT FDTD subgridding method is not only accurate and efficient, but also can simply model complex structures in the practical simulations. Numerical results verify its accuracy, efficiency and flexibility.

AB - A provably stable subgridding finite-difference time-domain (FDTD) method is proposed to accurately and efficiently solve transient electromagnetic problems with multi-scale structures. By carefully adding more field components on the boundaries of computational domain, several summationby-parts (SBP) operators are constructed to approximate the Maxwell's equations. Through using the simultaneous approximation terms (SAT) technique, boundary conditions are weakly enforced. The proposed SBP-SAT FDTD subgridding method is not only accurate and efficient, but also can simply model complex structures in the practical simulations. Numerical results verify its accuracy, efficiency and flexibility.

KW - finite-difference time-domain (FDTD)

KW - simultaneous approximation terms (SAT)

KW - stability

KW - subgridding

KW - summation-by-parts (SBP)

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M3 - 会议稿件

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T3 - 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings

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BT - 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022

Y2 - 10 July 2022 through 15 July 2022

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Cheng Y, Li L, Wang XH, Yang S, Chen Z. A Provably Stable FDTD Subgridding Technique for Transient Electromagnetic Analysis. In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2022. p. 669-670. (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings). doi: 10.1109/AP-S/USNC-URSI47032.2022.9886485

A Provably Stable FDTD Subgridding Technique for Transient Electromagnetic Analysis

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Keywords

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