Application of a meshless method in electromagnetics

Author

Ho, S.L. ; Yang, S. ; Machado, J.M. ; Wong, H.C.

Author_Institution

Dept. of Electr. Eng., Hong Kong Polytech. Univ., China

Volume

37

Issue

5

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

3198

Lastpage

3202

Abstract

An improved meshless method is presented, with an emphasis on the detailed description of this new computational technique and its numerical implementations, by investigating the usefulness of a commonly neglected parameter. Two approaches to enforce essential boundary conditions are also thoroughly investigated. Numerical tests on a mathematical function are carried out as a means of validating the proposed method. It is seen that the proposed method is more robust than the conventional ones. Applications in solving electromagnetic problems are also presented

Keywords

Galerkin method; boundary-value problems; computational complexity; electric fields; electrical engineering computing; integro-differential equations; interpolation; least squares approximations; magnetic fields; variational techniques; CPU time; Lagrange multiplier method; computational electromagnetics; discretisation; electromagnetic problems; electrostatics; essential boundary conditions; improved meshless method; interpolation; magnetostatics; moving LSA; numerical implementation; variational principle; weak form functional; Boundary conditions; Deformable models; Electrical engineering; Electromagnetics; Least squares approximation; Least squares methods; Multilevel systems; Robustness; Solid modeling; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.952576

Filename

952576