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

Research output: Contribution to journal › Article › peer-review

43 Scopus citations

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.

Original language	English
Article number	6815781
Pages (from-to)	1409-1416
Number of pages	8
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	62
Issue number	7
DOIs	https://doi.org/10.1109/TMTT.2014.2322334
State	Published - Jul 2014
Externally published	Yes

Keywords

Divergence free
meshless
transient analysis
vector radial basis function (RBF)

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10.1109/TMTT.2014.2322334

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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 - 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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M3 - 文章

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JF - IEEE Transactions on Microwave Theory and Techniques

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M1 - 6815781

ER -

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

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Keywords

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