Electromagnetic Scattering Analysis using a Hybridizable Discontinuous Galerkin-Boundary Integral Method

Ran Zhao; Ming Dong; Liang Chen; Hakan Bagci; Jun Hu

doi:10.23919/aces57841.2023.10114732

Electromagnetic Scattering Analysis using a Hybridizable Discontinuous Galerkin-Boundary Integral Method

Ran Zhao, Ming Dong, Liang Chen, Hakan Bagci, Jun Hu

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

Abstract

A method that couples the hybridizable discontin-uous Galerkin (HDG) and boundary-integral (BI) equation is proposed to efficiently and accurately analyze electromagnetic scattering from composite objects. The coupling between the HDG and the BI equations is realized using the numerical flux operating on the equivalent current and the global unknown of the HDG. A “hybrid” scheme, which uses the multilevel fast multipole method and a direct sparse matrix solver, is developed to efficiently solve the matrix system resulting from the discretization of the coupled HDG and BI equations. The numerical results demonstrate the accuracy, the efficiency, and the applicability of the proposed HDG-BI solver.

Original language	English (US)
Title of host publication	2023 International Applied Computational Electromagnetics Society Symposium (ACES)
Publisher	IEEE
DOIs	https://doi.org/10.23919/aces57841.2023.10114732
State	Published - May 9 2023

Bibliographical note

KAUST Repository Item: Exported on 2023-05-23
Acknowledged KAUST grant number(s): 2019-CRG8-4056
Acknowledgements: This work was supported in part by KAUST OSR under Award 2019-CRG8-4056 and in part by NSFC under Grant 62271002.

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10.23919/aces57841.2023.10114732

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title = "Electromagnetic Scattering Analysis using a Hybridizable Discontinuous Galerkin-Boundary Integral Method",

abstract = "A method that couples the hybridizable discontin-uous Galerkin (HDG) and boundary-integral (BI) equation is proposed to efficiently and accurately analyze electromagnetic scattering from composite objects. The coupling between the HDG and the BI equations is realized using the numerical flux operating on the equivalent current and the global unknown of the HDG. A “hybrid” scheme, which uses the multilevel fast multipole method and a direct sparse matrix solver, is developed to efficiently solve the matrix system resulting from the discretization of the coupled HDG and BI equations. The numerical results demonstrate the accuracy, the efficiency, and the applicability of the proposed HDG-BI solver.",

author = "Ran Zhao and Ming Dong and Liang Chen and Hakan Bagci and Jun Hu",

note = "KAUST Repository Item: Exported on 2023-05-23 Acknowledged KAUST grant number(s): 2019-CRG8-4056 Acknowledgements: This work was supported in part by KAUST OSR under Award 2019-CRG8-4056 and in part by NSFC under Grant 62271002.",

year = "2023",

month = may,

day = "9",

doi = "10.23919/aces57841.2023.10114732",

language = "English (US)",

booktitle = "2023 International Applied Computational Electromagnetics Society Symposium (ACES)",

publisher = "IEEE",

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TY - GEN

T1 - Electromagnetic Scattering Analysis using a Hybridizable Discontinuous Galerkin-Boundary Integral Method

AU - Zhao, Ran

AU - Dong, Ming

AU - Chen, Liang

AU - Bagci, Hakan

AU - Hu, Jun

N1 - KAUST Repository Item: Exported on 2023-05-23 Acknowledged KAUST grant number(s): 2019-CRG8-4056 Acknowledgements: This work was supported in part by KAUST OSR under Award 2019-CRG8-4056 and in part by NSFC under Grant 62271002.

PY - 2023/5/9

Y1 - 2023/5/9

N2 - A method that couples the hybridizable discontin-uous Galerkin (HDG) and boundary-integral (BI) equation is proposed to efficiently and accurately analyze electromagnetic scattering from composite objects. The coupling between the HDG and the BI equations is realized using the numerical flux operating on the equivalent current and the global unknown of the HDG. A “hybrid” scheme, which uses the multilevel fast multipole method and a direct sparse matrix solver, is developed to efficiently solve the matrix system resulting from the discretization of the coupled HDG and BI equations. The numerical results demonstrate the accuracy, the efficiency, and the applicability of the proposed HDG-BI solver.

AB - A method that couples the hybridizable discontin-uous Galerkin (HDG) and boundary-integral (BI) equation is proposed to efficiently and accurately analyze electromagnetic scattering from composite objects. The coupling between the HDG and the BI equations is realized using the numerical flux operating on the equivalent current and the global unknown of the HDG. A “hybrid” scheme, which uses the multilevel fast multipole method and a direct sparse matrix solver, is developed to efficiently solve the matrix system resulting from the discretization of the coupled HDG and BI equations. The numerical results demonstrate the accuracy, the efficiency, and the applicability of the proposed HDG-BI solver.

UR - http://hdl.handle.net/10754/691930

UR - https://ieeexplore.ieee.org/document/10114732/

U2 - 10.23919/aces57841.2023.10114732

DO - 10.23919/aces57841.2023.10114732

M3 - Conference contribution

BT - 2023 International Applied Computational Electromagnetics Society Symposium (ACES)

PB - IEEE

ER -

Electromagnetic Scattering Analysis using a Hybridizable Discontinuous Galerkin-Boundary Integral Method

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