A divergence-free meshless method based on the vector basis function for transient electromagnetic analysis

Shunchuan Yang; Zhizhang Chen; Yiqiang Yu; Sergey Ponomarenko

doi:10.1109/TMTT.2014.2322334

A divergence-free meshless method based on the vector basis function for transient electromagnetic analysis

Shunchuan Yang
, Zhizhang Chen
, Yiqiang Yu
, Sergey Ponomarenko

University of Electronic Science and Technology of China
Dalhousie University
East China Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

43 引用（Scopus）

摘要

Although meshless methods, in particularly those with scalar radial basis functions (RBFs), have been applied effectively to solve electromagnetic problems, their solutions may not be always divergence free in source-free regions, resulting in possibly large errors. In this paper, a new vector RBF based meshless method, which is divergence free, is proposed for solving transient electromagnetic problems. Its divergence properties are investigated and compared with those of scalar RBFs; and they are further verified with numerical examples that present good accuracy.

源语言	英语
文章编号	6815781
页（从-至）	1409-1416
页数	8
期刊	IEEE Transactions on Microwave Theory and Techniques
卷	62
期	7
DOI	https://doi.org/10.1109/TMTT.2014.2322334
出版状态	已出版 - 7月 2014
已对外发布	是

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abstract = "Although meshless methods, in particularly those with scalar radial basis functions (RBFs), have been applied effectively to solve electromagnetic problems, their solutions may not be always divergence free in source-free regions, resulting in possibly large errors. In this paper, a new vector RBF based meshless method, which is divergence free, is proposed for solving transient electromagnetic problems. Its divergence properties are investigated and compared with those of scalar RBFs; and they are further verified with numerical examples that present good accuracy.",

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AU - Yang, Shunchuan

AU - Chen, Zhizhang

AU - Yu, Yiqiang

AU - Ponomarenko, Sergey

PY - 2014/7

Y1 - 2014/7

N2 - Although meshless methods, in particularly those with scalar radial basis functions (RBFs), have been applied effectively to solve electromagnetic problems, their solutions may not be always divergence free in source-free regions, resulting in possibly large errors. In this paper, a new vector RBF based meshless method, which is divergence free, is proposed for solving transient electromagnetic problems. Its divergence properties are investigated and compared with those of scalar RBFs; and they are further verified with numerical examples that present good accuracy.

AB - Although meshless methods, in particularly those with scalar radial basis functions (RBFs), have been applied effectively to solve electromagnetic problems, their solutions may not be always divergence free in source-free regions, resulting in possibly large errors. In this paper, a new vector RBF based meshless method, which is divergence free, is proposed for solving transient electromagnetic problems. Its divergence properties are investigated and compared with those of scalar RBFs; and they are further verified with numerical examples that present good accuracy.

KW - Divergence free

KW - meshless

KW - transient analysis

KW - vector radial basis function (RBF)

UR - https://www.scopus.com/pages/publications/84904399473

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JO - IEEE Transactions on Microwave Theory and Techniques

JF - IEEE Transactions on Microwave Theory and Techniques

IS - 7

M1 - 6815781

ER -

A divergence-free meshless method based on the vector basis function for transient electromagnetic analysis

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