A Theoretically Stable FDTD Subgridding Method with Arbitrary Grid Ratios and Material Transitions

Yuhui Wang; Ge Li; Shunchuan Yang

doi:10.1109/AP-S/INC-USNC-URSI52054.2024.10686530

A Theoretically Stable FDTD Subgridding Method with Arbitrary Grid Ratios and Material Transitions

Yuhui Wang
, Ge Li
, Shunchuan Yang^*

^*Corresponding author for this work

School of Electronic and Information Engineering

Beihang University
Beijing Institute of Space Long March Vehicle

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

Abstract

A theoretically stable finite-difference time-domain (FDTD) subgridding method with arbitrary grid ratios is proposed to solve electromagnetic problems with material transitions. In the proposed method, the summation-by-parts simultaneous approximation term (SBP-SAT) and the interpolation matrix with arbitrary grid ratios are carefully designed to guarantee the stability. Numerical results validate the accuracy, efficiency and flexibility of the proposed subgridding method with material transitions.

Original language	English
Title of host publication	2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	209-210
Number of pages	2
ISBN (Electronic)	9798350369908
DOIs	https://doi.org/10.1109/AP-S/INC-USNC-URSI52054.2024.10686530
State	Published - 2024
Event	2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024 - Florence, Italy Duration: 14 Jul 2024 → 19 Jul 2024

Publication series

Name	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)	1522-3965

Conference

Conference	2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024
Country/Territory	Italy
City	Florence
Period	14/07/24 → 19/07/24

Keywords

Arbitrary grid ratio
finite-difference time-domain (FDTD)
stability
subgridding
summation-by-parts simultaneous approximation term (SBP-SAT)

Access to Document

10.1109/AP-S/INC-USNC-URSI52054.2024.10686530

Cite this

Wang, Y., Li, G., & Yang, S. (2024). A Theoretically Stable FDTD Subgridding Method with Arbitrary Grid Ratios and Material Transitions. In 2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024 - Proceedings (pp. 209-210). (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/AP-S/INC-USNC-URSI52054.2024.10686530

Wang, Yuhui ; Li, Ge ; Yang, Shunchuan. / A Theoretically Stable FDTD Subgridding Method with Arbitrary Grid Ratios and Material Transitions. 2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2024. pp. 209-210 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)).

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title = "A Theoretically Stable FDTD Subgridding Method with Arbitrary Grid Ratios and Material Transitions",

abstract = "A theoretically stable finite-difference time-domain (FDTD) subgridding method with arbitrary grid ratios is proposed to solve electromagnetic problems with material transitions. In the proposed method, the summation-by-parts simultaneous approximation term (SBP-SAT) and the interpolation matrix with arbitrary grid ratios are carefully designed to guarantee the stability. Numerical results validate the accuracy, efficiency and flexibility of the proposed subgridding method with material transitions.",

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

author = "Yuhui Wang and Ge Li and Shunchuan Yang",

note = "Publisher Copyright: {\textcopyright} 2024 IEEE.; 2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024 ; Conference date: 14-07-2024 Through 19-07-2024",

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doi = "10.1109/AP-S/INC-USNC-URSI52054.2024.10686530",

language = "英语",

series = "IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)",

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

pages = "209--210",

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Wang, Y, Li, G & Yang, S 2024, A Theoretically Stable FDTD Subgridding Method with Arbitrary Grid Ratios and Material Transitions. in 2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024 - Proceedings. IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), Institute of Electrical and Electronics Engineers Inc., pp. 209-210, 2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024, Florence, Italy, 14/07/24. https://doi.org/10.1109/AP-S/INC-USNC-URSI52054.2024.10686530

A Theoretically Stable FDTD Subgridding Method with Arbitrary Grid Ratios and Material Transitions. / Wang, Yuhui; Li, Ge; Yang, Shunchuan.
2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2024. p. 209-210 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)).

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

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AU - Wang, Yuhui

AU - Li, Ge

AU - Yang, Shunchuan

PY - 2024

Y1 - 2024

N2 - A theoretically stable finite-difference time-domain (FDTD) subgridding method with arbitrary grid ratios is proposed to solve electromagnetic problems with material transitions. In the proposed method, the summation-by-parts simultaneous approximation term (SBP-SAT) and the interpolation matrix with arbitrary grid ratios are carefully designed to guarantee the stability. Numerical results validate the accuracy, efficiency and flexibility of the proposed subgridding method with material transitions.

AB - A theoretically stable finite-difference time-domain (FDTD) subgridding method with arbitrary grid ratios is proposed to solve electromagnetic problems with material transitions. In the proposed method, the summation-by-parts simultaneous approximation term (SBP-SAT) and the interpolation matrix with arbitrary grid ratios are carefully designed to guarantee the stability. Numerical results validate the accuracy, efficiency and flexibility of the proposed subgridding method with material transitions.

KW - Arbitrary grid ratio

KW - finite-difference time-domain (FDTD)

KW - stability

KW - subgridding

KW - summation-by-parts simultaneous approximation term (SBP-SAT)

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DO - 10.1109/AP-S/INC-USNC-URSI52054.2024.10686530

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T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

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BT - 2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024

Y2 - 14 July 2024 through 19 July 2024

ER -

Wang Y, Li G, Yang S. A Theoretically Stable FDTD Subgridding Method with Arbitrary Grid Ratios and Material Transitions. In 2024 IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2024. p. 209-210. (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)). doi: 10.1109/AP-S/INC-USNC-URSI52054.2024.10686530

A Theoretically Stable FDTD Subgridding Method with Arbitrary Grid Ratios and Material Transitions

Abstract

Publication series

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Keywords

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