Convergence of ICCG method in FEM using edge elements without gauge condition

Author

Kameari, A. ; Koganezawa, K.

Author_Institution

Mitsubishi Heavy Ind. Ltd., Yokohama, Japan

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1223

Lastpage

1226

Abstract

In the quasi-static magnetic field calculation, the equation is indefinite when we use edge elements without the gauge condition by the tree and co-tree decomposition. The convergence property of the incomplete Cholesky conjugate gradient (ICCG) method is investigated in the FEM of the A-φ formulation using edge elements. Even when the continuity of the source current density is not satisfied strictly, we can obtain converged solutions including the error of the discontinuity by the ICCG. Also a method by two scalar potentials to impose divergence-free current density in the FEM mesh is proposed

Keywords

conjugate gradient methods; convergence of numerical methods; current density; electric potential; error analysis; finite element analysis; magnetic fields; magnetostatics; A-φ formulation; FEM mesh; ICCG method convergence; converged solutions; cotree decomposition; discontinuity error; divergence-free current density; edge elements; gauge condition; incomplete Cholesky conjugate gradient; indefinite equation; quasistatic magnetic field calculation; scalar potentials; source current density; tree decomposition; Boundary conditions; Conductors; Convergence; Current density; Electric potential; Finite element methods; Integral equations; Magnetic fields; Polynomials; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582474

Filename

582474