A SIE-PDE Formulation with Non-conformal Meshes for Electromagnetic Analysis

Aipeng Sun; Shunchuan Yang; Zhizhang David Chen

doi:10.1109/AP-S/USNC-URSI47032.2022.9886582

A SIE-PDE Formulation with Non-conformal Meshes for Electromagnetic Analysis

Aipeng Sun
, Shunchuan Yang^*
, Zhizhang David Chen

^*Corresponding author for this work

School of Electronic and Information Engineering

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

Abstract

A hybrid surface integral equation partial differential equation (SIE-PDE) formulation with non-conformal meshes is proposed to solve the electromagnetic problems. An equivalent model with only the electric current density is first constructed for piecewise homogeneous media, which is then enforced into the Helmholtz equation as an excitation. A connection matrix is carefully constructed to couple the SIE and PDE formulations without any additional requirements upon the boundary conditions and meshes. Therefore, non-conformal meshes are fully supported, which is extremely flexible to model complex structures. Numerical results show that it is accurate, efficient and flexible to solve electromagnetic problems.

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	1654-1655
Number of pages	2
ISBN (Electronic)	9781665496582
DOIs	https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886582
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

Hybrid formulation
non-conformal meshes
partial differential equation (PDE)
surface integral equation (SIE)

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10.1109/AP-S/USNC-URSI47032.2022.9886582

Cite this

Sun, A., Yang, S., & Chen, Z. D. (2022). A SIE-PDE Formulation with Non-conformal Meshes for Electromagnetic Analysis. In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings (pp. 1654-1655). (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-URSI47032.2022.9886582

Sun, Aipeng ; Yang, Shunchuan ; Chen, Zhizhang David. / A SIE-PDE Formulation with Non-conformal Meshes for 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. 1654-1655 (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 SIE-PDE Formulation with Non-conformal Meshes for Electromagnetic Analysis",

abstract = "A hybrid surface integral equation partial differential equation (SIE-PDE) formulation with non-conformal meshes is proposed to solve the electromagnetic problems. An equivalent model with only the electric current density is first constructed for piecewise homogeneous media, which is then enforced into the Helmholtz equation as an excitation. A connection matrix is carefully constructed to couple the SIE and PDE formulations without any additional requirements upon the boundary conditions and meshes. Therefore, non-conformal meshes are fully supported, which is extremely flexible to model complex structures. Numerical results show that it is accurate, efficient and flexible to solve electromagnetic problems.",

keywords = "Hybrid formulation, non-conformal meshes, partial differential equation (PDE), surface integral equation (SIE)",

author = "Aipeng Sun and Shunchuan Yang and Chen, \{Zhizhang David\}",

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-URSI47032.2022.9886582",

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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Sun, A, Yang, S & Chen, ZD 2022, A SIE-PDE Formulation with Non-conformal Meshes for 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. 1654-1655, 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-URSI47032.2022.9886582

A SIE-PDE Formulation with Non-conformal Meshes for Electromagnetic Analysis. / Sun, Aipeng; Yang, Shunchuan; Chen, Zhizhang David.
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. 1654-1655 (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

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T1 - A SIE-PDE Formulation with Non-conformal Meshes for Electromagnetic Analysis

AU - Sun, Aipeng

AU - Yang, Shunchuan

AU - Chen, Zhizhang David

PY - 2022

Y1 - 2022

N2 - A hybrid surface integral equation partial differential equation (SIE-PDE) formulation with non-conformal meshes is proposed to solve the electromagnetic problems. An equivalent model with only the electric current density is first constructed for piecewise homogeneous media, which is then enforced into the Helmholtz equation as an excitation. A connection matrix is carefully constructed to couple the SIE and PDE formulations without any additional requirements upon the boundary conditions and meshes. Therefore, non-conformal meshes are fully supported, which is extremely flexible to model complex structures. Numerical results show that it is accurate, efficient and flexible to solve electromagnetic problems.

AB - A hybrid surface integral equation partial differential equation (SIE-PDE) formulation with non-conformal meshes is proposed to solve the electromagnetic problems. An equivalent model with only the electric current density is first constructed for piecewise homogeneous media, which is then enforced into the Helmholtz equation as an excitation. A connection matrix is carefully constructed to couple the SIE and PDE formulations without any additional requirements upon the boundary conditions and meshes. Therefore, non-conformal meshes are fully supported, which is extremely flexible to model complex structures. Numerical results show that it is accurate, efficient and flexible to solve electromagnetic problems.

KW - Hybrid formulation

KW - non-conformal meshes

KW - partial differential equation (PDE)

KW - surface integral equation (SIE)

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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

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Sun A, Yang S, Chen ZD. A SIE-PDE Formulation with Non-conformal Meshes for 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. 1654-1655. (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-URSI47032.2022.9886582

A SIE-PDE Formulation with Non-conformal Meshes for Electromagnetic Analysis

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Keywords

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