A meshless collocation method based on radial basis functions and wavelets

Siu Lau Ho; Shiyou Yang; H. C. Wong; Guangzheng Ni

doi:10.1109/TMAG.2004.824778

A meshless collocation method based on radial basis functions and wavelets

Siu Lau Ho, Shiyou Yang, H. C. Wong, Guangzheng Ni

The Hong Kong Polytechnic University

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

33 Citations (Scopus)

Abstract

A meshless method based on collocation with radial basis functions (RBFs) and wavelets is proposed. It is shown that the proposed method takes full advantage of both RBFs and wavelets. The bridging scales are employed to preserve the mathematical properties of the entire bases in terms of consistency and linear independence. A numerical example that is used to validate the proposed method is reported.

Original language	English
Pages (from-to)	1021-1024
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	40
Issue number	2 II
DOIs	https://doi.org/10.1109/TMAG.2004.824778
Publication status	Published - 1 Mar 2004

Keywords

Collocation
Meshless method
Radial basis function
Wavelet

ASJC Scopus subject areas

Electrical and Electronic Engineering
Physics and Astronomy (miscellaneous)

More information

10.1109/TMAG.2004.824778

http://hdl.handle.net/10397/1115

Cite this

@article{a82dd67d5557467faad25efc4304a153,

title = "A meshless collocation method based on radial basis functions and wavelets",

abstract = "A meshless method based on collocation with radial basis functions (RBFs) and wavelets is proposed. It is shown that the proposed method takes full advantage of both RBFs and wavelets. The bridging scales are employed to preserve the mathematical properties of the entire bases in terms of consistency and linear independence. A numerical example that is used to validate the proposed method is reported.",

keywords = "Collocation, Meshless method, Radial basis function, Wavelet",

author = "Ho, {Siu Lau} and Shiyou Yang and Wong, {H. C.} and Guangzheng Ni",

year = "2004",

month = mar,

day = "1",

doi = "10.1109/TMAG.2004.824778",

language = "English",

volume = "40",

pages = "1021--1024",

journal = "IEEE Transactions on Magnetics",

issn = "0018-9464",

publisher = "IEEE",

number = "2 II",

}

TY - JOUR

T1 - A meshless collocation method based on radial basis functions and wavelets

AU - Ho, Siu Lau

AU - Yang, Shiyou

AU - Wong, H. C.

AU - Ni, Guangzheng

PY - 2004/3/1

Y1 - 2004/3/1

N2 - A meshless method based on collocation with radial basis functions (RBFs) and wavelets is proposed. It is shown that the proposed method takes full advantage of both RBFs and wavelets. The bridging scales are employed to preserve the mathematical properties of the entire bases in terms of consistency and linear independence. A numerical example that is used to validate the proposed method is reported.

AB - A meshless method based on collocation with radial basis functions (RBFs) and wavelets is proposed. It is shown that the proposed method takes full advantage of both RBFs and wavelets. The bridging scales are employed to preserve the mathematical properties of the entire bases in terms of consistency and linear independence. A numerical example that is used to validate the proposed method is reported.

KW - Collocation

KW - Meshless method

KW - Radial basis function

KW - Wavelet

UR - http://www.scopus.com/inward/record.url?scp=2342472115&partnerID=8YFLogxK

U2 - 10.1109/TMAG.2004.824778

DO - 10.1109/TMAG.2004.824778

M3 - Journal article

SN - 0018-9464

VL - 40

SP - 1021

EP - 1024

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 2 II

ER -

A meshless collocation method based on radial basis functions and wavelets

Abstract

Keywords

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this