Wavelet-galerkin method for computations of electromagnetic fields-computation of connection coefficients

Shiyou Yang; Guangzheng Ni; Siu Lau Ho; Jose Marcio Machado; M. A. Rahman; H. C. Wong

doi:10.1109/20.877532

Wavelet-galerkin method for computations of electromagnetic fields-computation of connection coefficients

Shiyou Yang, Guangzheng Ni, Siu Lau Ho, Jose Marcio Machado, M. A. Rahman, H. C. Wong

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

24 Citations (Scopus)

Abstract

One of the key issues which makes the waveletGalerkin method unsuitable for solving general electromagnetic problems is a lack of exact representations of the connection coefficients. This paper presents the mathematical formulae and computer procedures for computing some common connection coefficients. The characteristic of the present formulae and procedures is that the arbitrary point values of the connection coefficients, rather than the dyadic point values, can be determined. A numerical example is also given to demonstrate the feasibility of using the wavelet-Galerkin method to solve engineering field problems.

Original language	English
Pages (from-to)	644-648
Number of pages	5
Journal	IEEE Transactions on Magnetics
Volume	36
Issue number	4 PART 1
DOIs	https://doi.org/10.1109/20.877532
Publication status	Published - 1 Dec 2000

Keywords

Connection coefficients
Wavelet bases
Waveletgalerkin method

ASJC Scopus subject areas

Electrical and Electronic Engineering
Physics and Astronomy (miscellaneous)

More information

10.1109/20.877532

http://hdl.handle.net/10397/878

Cite this

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abstract = "One of the key issues which makes the waveletGalerkin method unsuitable for solving general electromagnetic problems is a lack of exact representations of the connection coefficients. This paper presents the mathematical formulae and computer procedures for computing some common connection coefficients. The characteristic of the present formulae and procedures is that the arbitrary point values of the connection coefficients, rather than the dyadic point values, can be determined. A numerical example is also given to demonstrate the feasibility of using the wavelet-Galerkin method to solve engineering field problems.",

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AU - Ni, Guangzheng

AU - Ho, Siu Lau

AU - Machado, Jose Marcio

AU - Rahman, M. A.

AU - Wong, H. C.

PY - 2000/12/1

Y1 - 2000/12/1

N2 - One of the key issues which makes the waveletGalerkin method unsuitable for solving general electromagnetic problems is a lack of exact representations of the connection coefficients. This paper presents the mathematical formulae and computer procedures for computing some common connection coefficients. The characteristic of the present formulae and procedures is that the arbitrary point values of the connection coefficients, rather than the dyadic point values, can be determined. A numerical example is also given to demonstrate the feasibility of using the wavelet-Galerkin method to solve engineering field problems.

AB - One of the key issues which makes the waveletGalerkin method unsuitable for solving general electromagnetic problems is a lack of exact representations of the connection coefficients. This paper presents the mathematical formulae and computer procedures for computing some common connection coefficients. The characteristic of the present formulae and procedures is that the arbitrary point values of the connection coefficients, rather than the dyadic point values, can be determined. A numerical example is also given to demonstrate the feasibility of using the wavelet-Galerkin method to solve engineering field problems.

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KW - Wavelet bases

KW - Waveletgalerkin method

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JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 4 PART 1

ER -

Wavelet-galerkin method for computations of electromagnetic fields-computation of connection coefficients

Abstract

Keywords

ASJC Scopus subject areas

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