Improvement of the element-free Galerkin method for electromagnetic field calculation

Author

Liu, Suzhen ; Yang, Qingxin ; Chen, Haiyan ; Xu, Guizhi ; Liu, Fugui

Author_Institution

Dept. of Electr. Eng., Hebei Univ. of Technol., Tianjin, China

Volume

14

Issue

2

fYear

2004

fDate

6/1/2004 12:00:00 AM

Firstpage

1866

Lastpage

1869

Abstract

The element-free Galerkin method (EFGM) is meshless method, it can solve some problems that the finite element method (FEM) can not solve effectively in electromagnetic field, such as thin plate problems, narrow gap problems, moving conductors, etc. In this paper, an improved formulation of the EFGM is proposed for electromagnetic field computations. Detailed research is conducted on some key problems, such as the selection of the weight function, the treatment of imposing boundary conditions and interface conditions. Finally, numerical examples are cited for demonstration.

Keywords

Galerkin method; boundary-value problems; computational electromagnetics; electromagnetic field theory; least squares approximations; boundary conditions; electromagnetic field calculation; electromagnetic field computations; element-free Galerkin method; finite element method; interface conditions; moving conductors; narrow gap problems; penalty function; thin plate problems; visibility criterion; weight function; Bellows; Boundary conditions; Conductors; Electromagnetic fields; Finite element methods; Least squares approximation; Moment methods; Numerical analysis; Shape; Spline; EFGM; Element-free Galerkin Method; penalty function; visibility criterion; weight function;

fLanguage

English

Journal_Title

Applied Superconductivity, IEEE Transactions on

Publisher

ieee

ISSN

1051-8223

Type

jour

DOI

10.1109/TASC.2004.830885

Filename

1325174