A Blended Quadrature Approach for the Accurate Integration of the Gradient of the 3D Green's Function

Cai Cheng Lu; Robert Adams; John Young

doi:10.1109/AP-S/USNC-URSI47032.2022.9886101

A Blended Quadrature Approach for the Accurate Integration of the Gradient of the 3D Green's Function

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

Abstract

This paper presents a partially closed form and partially numerical method for the accurate integration of the singular integral related to the gradient of the 3D Green's function. Verification examples are provided and compared with a brute-force integration using an arbitrary precision library.

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
Pages	1140-1141
Number of pages	2
ISBN (Electronic)	9781665496582
DOIs	https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886101
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: Jul 10 2022 → Jul 15 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	7/10/22 → 7/15/22

Bibliographical note

Funding Information:
∗This work is supported in part by a grant from Ansys, Inc.

Publisher Copyright:
© 2022 IEEE.

Keywords

Green's function
Singular integral

ASJC Scopus subject areas

Computer Networks and Communications
Signal Processing
Instrumentation

Access to Document

10.1109/AP-S/USNC-URSI47032.2022.9886101

Cite this

Lu, C. C., Adams, R., & Young, J. (2022). A Blended Quadrature Approach for the Accurate Integration of the Gradient of the 3D Green's Function. In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings (pp. 1140-1141). (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings). https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886101

Lu, Cai Cheng ; Adams, Robert ; Young, John. / A Blended Quadrature Approach for the Accurate Integration of the Gradient of the 3D Green's Function. 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022. pp. 1140-1141 (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 Blended Quadrature Approach for the Accurate Integration of the Gradient of the 3D Green's Function",

abstract = "This paper presents a partially closed form and partially numerical method for the accurate integration of the singular integral related to the gradient of the 3D Green's function. Verification examples are provided and compared with a brute-force integration using an arbitrary precision library.",

keywords = "Green's function, Singular integral",

author = "Lu, {Cai Cheng} and Robert Adams and John Young",

note = "Funding Information: ∗This work is supported in part by a grant from Ansys, Inc. Publisher Copyright: {\textcopyright} 2022 IEEE.; null ; Conference date: 10-07-2022 Through 15-07-2022",

year = "2022",

doi = "10.1109/AP-S/USNC-URSI47032.2022.9886101",

language = "English",

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

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Lu, CC , Adams, R & Young, J 2022, A Blended Quadrature Approach for the Accurate Integration of the Gradient of the 3D Green's Function. 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, pp. 1140-1141, 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022, Denver, United States, 7/10/22. https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886101

A Blended Quadrature Approach for the Accurate Integration of the Gradient of the 3D Green's Function. / Lu, Cai Cheng ; Adams, Robert ; Young, John.

2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022. p. 1140-1141 (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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Lu CC , Adams R , Young J. A Blended Quadrature Approach for the Accurate Integration of the Gradient of the 3D Green's Function. In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022. p. 1140-1141. (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-URSI47032.2022.9886101

A Blended Quadrature Approach for the Accurate Integration of the Gradient of the 3D Green's Function

Abstract

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Bibliographical note

Keywords

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