A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions

Yu Chen; Yuanguo Zhou; Qiang Ren

doi:10.1109/iWEM58222.2023.10234942

A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions

Yu Chen^*
, Yuanguo Zhou
, Qiang Ren

^*此作品的通讯作者

电子信息工程学院

Xi'an University of Science and Technology

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

2 引用（Scopus）

摘要

In this work, a hybridizable discontinuous Galerkin time-domain (HDGTD) method with vector basis function is proposed for the first time to simulate the 3-D electromagnetic propagation problems. The HDGTD method replaces the numerical flux in traditional discontinuous Galerkin time-domain (DGTD) method by introducing a hybrid variable, and thus it has less degrees of freedom (DOFs) than the DGTD method. In addition, by introducing the high-order hierarchical vector basis function to the HDGTD, the computational efficiency is further improved. Finally, we verify the proposed method by three examples and analyze its efficiency.

源语言	英语
主期刊名	2023 IEEE International Workshop on Electromagnetics
主期刊副标题	Applications and Student Innovation Competition, iWEM 2023
出版商	Institute of Electrical and Electronics Engineers Inc.
页	408-412
页数	5
ISBN（电子版）	9798350336740
DOI	https://doi.org/10.1109/iWEM58222.2023.10234942
出版状态	已出版 - 2023
活动	2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023 - Harbin, 中国期限: 15 7月 2023 → 18 7月 2023

出版系列

姓名	2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023

会议

会议	2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023
国家/地区	中国
市	Harbin
时期	15/07/23 → 18/07/23

访问文件

10.1109/iWEM58222.2023.10234942

其它文件与链接

链接到 Scopus 的出版物

引用此

Chen, Y., Zhou, Y., & Ren, Q. (2023). A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions. 在 2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023 (页码 408-412). (2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/iWEM58222.2023.10234942

Chen, Yu ; Zhou, Yuanguo ; Ren, Qiang. / A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions. 2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023. Institute of Electrical and Electronics Engineers Inc., 2023. 页码 408-412 (2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023).

@inproceedings{440058bfc3004fe086f4c62a087b2456,

title = "A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions",

abstract = "In this work, a hybridizable discontinuous Galerkin time-domain (HDGTD) method with vector basis function is proposed for the first time to simulate the 3-D electromagnetic propagation problems. The HDGTD method replaces the numerical flux in traditional discontinuous Galerkin time-domain (DGTD) method by introducing a hybrid variable, and thus it has less degrees of freedom (DOFs) than the DGTD method. In addition, by introducing the high-order hierarchical vector basis function to the HDGTD, the computational efficiency is further improved. Finally, we verify the proposed method by three examples and analyze its efficiency.",

keywords = "HDGTD, Time domain method, high-order hierarchical vector basis function, implicit time scheme",

author = "Yu Chen and Yuanguo Zhou and Qiang Ren",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023 ; Conference date: 15-07-2023 Through 18-07-2023",

year = "2023",

doi = "10.1109/iWEM58222.2023.10234942",

language = "英语",

series = "2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023",

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

pages = "408--412",

booktitle = "2023 IEEE International Workshop on Electromagnetics",

address = "美国",

}

Chen, Y, Zhou, Y & Ren, Q 2023, A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions. 在 2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023. 2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023, Institute of Electrical and Electronics Engineers Inc., 页码 408-412, 2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023, Harbin, 中国, 15/07/23. https://doi.org/10.1109/iWEM58222.2023.10234942

A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions. / Chen, Yu; Zhou, Yuanguo; Ren, Qiang.
2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023. Institute of Electrical and Electronics Engineers Inc., 2023. 页码 408-412 (2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions

AU - Chen, Yu

AU - Zhou, Yuanguo

AU - Ren, Qiang

PY - 2023

Y1 - 2023

N2 - In this work, a hybridizable discontinuous Galerkin time-domain (HDGTD) method with vector basis function is proposed for the first time to simulate the 3-D electromagnetic propagation problems. The HDGTD method replaces the numerical flux in traditional discontinuous Galerkin time-domain (DGTD) method by introducing a hybrid variable, and thus it has less degrees of freedom (DOFs) than the DGTD method. In addition, by introducing the high-order hierarchical vector basis function to the HDGTD, the computational efficiency is further improved. Finally, we verify the proposed method by three examples and analyze its efficiency.

AB - In this work, a hybridizable discontinuous Galerkin time-domain (HDGTD) method with vector basis function is proposed for the first time to simulate the 3-D electromagnetic propagation problems. The HDGTD method replaces the numerical flux in traditional discontinuous Galerkin time-domain (DGTD) method by introducing a hybrid variable, and thus it has less degrees of freedom (DOFs) than the DGTD method. In addition, by introducing the high-order hierarchical vector basis function to the HDGTD, the computational efficiency is further improved. Finally, we verify the proposed method by three examples and analyze its efficiency.

KW - HDGTD

KW - Time domain method

KW - high-order hierarchical vector basis function

KW - implicit time scheme

UR - https://www.scopus.com/pages/publications/85173059334

U2 - 10.1109/iWEM58222.2023.10234942

DO - 10.1109/iWEM58222.2023.10234942

M3 - 会议稿件

AN - SCOPUS:85173059334

T3 - 2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023

SP - 408

EP - 412

BT - 2023 IEEE International Workshop on Electromagnetics

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023

Y2 - 15 July 2023 through 18 July 2023

ER -

Chen Y, Zhou Y, Ren Q. A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions. 在 2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023. Institute of Electrical and Electronics Engineers Inc. 2023. 页码 408-412. (2023 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition, iWEM 2023). doi: 10.1109/iWEM58222.2023.10234942

A Novel Hybridizable Discontinuous Galerkin Method Based on Vector Basis Functions

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