A Divergence-Free Meshless Method Based on the Vector Basis Function for Transient Electromagnetic Analysis

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 b...

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Bibliographic Details
Published in:IEEE transactions on microwave theory and techniques Vol. 62; no. 7; pp. 1409 - 1416
Main Authors: Yang, Shunchuan, Chen, Zhizhang, Yu, Yiqiang, Ponomarenko, Sergey
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.07.2014
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Applied classical electromagnetism
Divergence
Divergence free
Electromagnetic wave propagation, radiowave propagation
Electromagnetism; electron and ion optics
Equations
Exact sciences and technology
Finite difference methods
Finite element method
Fundamental areas of phenomenology (including applications)
Magnetic domains
Mathematical analysis
Mathematical models
Mathematics
meshless
Meshless methods
Methods of scientific computing (including symbolic computation, algebraic computation)
Microwaves
Numerical analysis. Scientific computation
Physics
Resonant frequency
Scalars
Sciences and techniques of general use
Shape
transient analysis
vector radial basis function (RBF)
Vectors
Vectors (mathematics)
Radial basis function
Transient response
Divergences
Electromagnetism
Meshless method
meshless
vector radial basis function (RBF)
Transient analysis
Divergence free
ISSN:0018-9480, 1557-9670
Online Access:Get full text
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Description
Summary: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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ISSN:0018-9480
1557-9670
DOI:10.1109/TMTT.2014.2322334