Refinement computations of electromagnetic fields using FE and meshless methods

Siu Lau Ho; Shiyou Yang; H. C. Wong; Wai Chau Edward Lo; Guangzheng Ni

doi:10.1109/TMAG.2005.844553

Refinement computations of electromagnetic fields using FE and meshless methods

Siu Lau Ho, Shiyou Yang, H. C. Wong, Wai Chau Edward Lo, Guangzheng Ni

The Hong Kong Polytechnic University

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

12 Citations (Scopus)

Abstract

A refinement algorithm for electromagnetic field computations using a combination of finite element and meshless methods is introduced. Bridging scales are used to separate the finite element and meshless shape functions to make the refinement hierarchical and to uphold the mathematical properties such as consistency and linear independence for all the bases. To facilitate the application of the proposed algorithm, details about the node addition, requirements for the node distribution, and relationships between the finite element and meshless shape functions, as well as the determination of the stop criterion are also fully addressed. Primary numerical results are reported to demonstrate and validate the applicability and advantages of the proposed algorithm over traditional ones.

Original language	English
Pages (from-to)	1456-1459
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	41
Issue number	5
DOIs	https://doi.org/10.1109/TMAG.2005.844553
Publication status	Published - 1 May 2005

Keywords

Bridge scales
Meshless method
Moving least squares approximation
Refinement computation

ASJC Scopus subject areas

Electrical and Electronic Engineering
Physics and Astronomy (miscellaneous)

More information

10.1109/TMAG.2005.844553

http://hdl.handle.net/10397/874

Cite this

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title = "Refinement computations of electromagnetic fields using FE and meshless methods",

abstract = "A refinement algorithm for electromagnetic field computations using a combination of finite element and meshless methods is introduced. Bridging scales are used to separate the finite element and meshless shape functions to make the refinement hierarchical and to uphold the mathematical properties such as consistency and linear independence for all the bases. To facilitate the application of the proposed algorithm, details about the node addition, requirements for the node distribution, and relationships between the finite element and meshless shape functions, as well as the determination of the stop criterion are also fully addressed. Primary numerical results are reported to demonstrate and validate the applicability and advantages of the proposed algorithm over traditional ones.",

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AU - Ho, Siu Lau

AU - Yang, Shiyou

AU - Wong, H. C.

AU - Lo, Wai Chau Edward

AU - Ni, Guangzheng

PY - 2005/5/1

Y1 - 2005/5/1

N2 - A refinement algorithm for electromagnetic field computations using a combination of finite element and meshless methods is introduced. Bridging scales are used to separate the finite element and meshless shape functions to make the refinement hierarchical and to uphold the mathematical properties such as consistency and linear independence for all the bases. To facilitate the application of the proposed algorithm, details about the node addition, requirements for the node distribution, and relationships between the finite element and meshless shape functions, as well as the determination of the stop criterion are also fully addressed. Primary numerical results are reported to demonstrate and validate the applicability and advantages of the proposed algorithm over traditional ones.

AB - A refinement algorithm for electromagnetic field computations using a combination of finite element and meshless methods is introduced. Bridging scales are used to separate the finite element and meshless shape functions to make the refinement hierarchical and to uphold the mathematical properties such as consistency and linear independence for all the bases. To facilitate the application of the proposed algorithm, details about the node addition, requirements for the node distribution, and relationships between the finite element and meshless shape functions, as well as the determination of the stop criterion are also fully addressed. Primary numerical results are reported to demonstrate and validate the applicability and advantages of the proposed algorithm over traditional ones.

KW - Bridge scales

KW - Meshless method

KW - Moving least squares approximation

KW - Refinement computation

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DO - 10.1109/TMAG.2005.844553

M3 - Journal article

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EP - 1459

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 5

ER -

Refinement computations of electromagnetic fields using FE and meshless methods

Abstract

Keywords

ASJC Scopus subject areas

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