Numerical investigation of penalty factor for coulomb gauge of magnetic vector potential for 3D fields

Author

Heyun, Lin ; Liming, Tu ; Udpa, Lalita ; Sun, Yushi

Author_Institution

Dept. of Electr. Eng., Southeast Univ., Nanjing, China

Volume

35

Issue

3

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

1354

Lastpage

1357

Abstract

In this paper, the penalty function method for constraining the Coulomb gauge of magnetic vector potential in the finite element analysis of 3-D magnetic field problems is introduced. The Galerkin method of weighted residual equations for the corresponding boundary value problems is derived. The numerical properties of the penalty factor are investigated using FEM modeling. These include the improvement of condition number of the FEM matrix equation system, satisfaction of divergence-free condition of the magnetic vector potential and the effect on the solution of the magnetic problem

Keywords

Galerkin method; boundary-value problems; finite element analysis; magnetic fields; 3-D magnetic field problems; Coulomb gauge; FEM matrix equation system; FEM modeling; Galerkin method; boundary value problems; finite element analysis; magnetic vector potential; penalty function method; weighted residual equations; Boundary value problems; Finite element methods; Magnetic analysis; Magnetic fields; Magnetic materials; Magnetostatics; Maxwell equations; Moment methods; Permeability; Sun;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.767213

Filename

767213