How can we unify numerical methods with a single mathematic framework?

Zhizhang David Chen; Shunchuang Yang; Yiqiang Yu

doi:10.1109/APCAP.2014.6992785

How can we unify numerical methods with a single mathematic framework?

Zhizhang David Chen
, Shunchuang Yang
, Yiqiang Yu

University of Electronic Science and Technology of China
Dalhousie University

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

A large number of numerical methods have been proposed and continue to be developed for solving electromagnetic structure problems. This paper presents a new look at these numerical methods and a way of unifying them with the node-based method of weighted residuals (MWR). As a result, a unifying approach to constructing of numerical methods is shown. It can then be applied to develop new numerical methods catering to specific electromagnetic issues or problems. A new divergence-preserved meshless method is developed as an example.

源语言	英语
主期刊名	Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014
出版商	Institute of Electrical and Electronics Engineers Inc.
页	1392-1395
页数	4
ISBN（电子版）	9781479943548
DOI	https://doi.org/10.1109/APCAP.2014.6992785
出版状态	已出版 - 18 12月 2014
已对外发布	是
活动	3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014 - Harbin, 中国期限: 26 7月 2014 → 29 7月 2014

出版系列

姓名	Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014

会议

会议	3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014
国家/地区	中国
市	Harbin
时期	26/07/14 → 29/07/14

访问文件

10.1109/APCAP.2014.6992785

其它文件与链接

链接到 Scopus 的出版物

引用此

Chen, Z. D., Yang, S., & Yu, Y. (2014). How can we unify numerical methods with a single mathematic framework? 在 Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014 (页码 1392-1395). 文章 6992785 (Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APCAP.2014.6992785

Chen, Zhizhang David ; Yang, Shunchuang ; Yu, Yiqiang. / How can we unify numerical methods with a single mathematic framework?. Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014. Institute of Electrical and Electronics Engineers Inc., 2014. 页码 1392-1395 (Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014).

@inproceedings{2a4a5fcb54b640a580b94c64f3618ac6,

title = "How can we unify numerical methods with a single mathematic framework?",

abstract = "A large number of numerical methods have been proposed and continue to be developed for solving electromagnetic structure problems. This paper presents a new look at these numerical methods and a way of unifying them with the node-based method of weighted residuals (MWR). As a result, a unifying approach to constructing of numerical methods is shown. It can then be applied to develop new numerical methods catering to specific electromagnetic issues or problems. A new divergence-preserved meshless method is developed as an example.",

keywords = "finite difference, finite element, method of moments, method of weighted residuals, noded-based methods, numerical methods",

author = "Chen, \{Zhizhang David\} and Shunchuang Yang and Yiqiang Yu",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014 ; Conference date: 26-07-2014 Through 29-07-2014",

year = "2014",

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doi = "10.1109/APCAP.2014.6992785",

language = "英语",

series = "Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014",

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

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booktitle = "Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014",

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Chen, ZD, Yang, S & Yu, Y 2014, How can we unify numerical methods with a single mathematic framework? 在 Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014., 6992785, Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014, Institute of Electrical and Electronics Engineers Inc., 页码 1392-1395, 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014, Harbin, 中国, 26/07/14. https://doi.org/10.1109/APCAP.2014.6992785

How can we unify numerical methods with a single mathematic framework? / Chen, Zhizhang David; Yang, Shunchuang; Yu, Yiqiang.
Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014. Institute of Electrical and Electronics Engineers Inc., 2014. 页码 1392-1395 6992785 (Proceedings of 3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014).