A boundary meshless method for transient eddy current problems

Author

Zhang, Yong ; Shao, K.R. ; Guo, Youguang ; Lavers, J.D.

Author_Institution

Coll. of Electr. & Electron. Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China

Volume

41

Issue

10

fYear

2005

Firstpage

4090

Lastpage

4092

Abstract

This paper presents a boundary meshless method (BMLM) for transient eddy current problems. With difference to the traditional boundary element method (BEM), the BMLM combines a point interpolation method (PIM) for construction of spatial interpolation functions with a boundary integral formulation for the governing equations, thus the spatial interpolation functions satisfy the Kronecker delta function and the essential boundary condition can be directly imposed without any other procedure. Theoretical analysis in details is given and a transient eddy current example is also presented to prove the proposed theory.

Keywords

boundary-elements methods; boundary-value problems; eddy currents; interpolation; transient analysis; Kronecker delta function; boundary element method; boundary integral formulation; boundary meshless method; initial-boundary problem; numerical analysis; point interpolation method; spatial interpolation functions; transient eddy current problems; Boundary conditions; Boundary element methods; Difference equations; Eddy currents; Educational institutions; Integral equations; Interpolation; Matrices; Shape; Transient analysis; Boundary meshless method; initial-boundary problem; numerical analysis; transient eddy current;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2005.854894

Filename

1519545