A generalization of the charge iteration procedure

Author

Aiello, G. ; Alfonzetti, S. ; Borzi, G. ; Coco, S. ; Salerno, Nunzio

Author_Institution

Dipt. Elettrico, Elettronico e Sistemistico, Catania Univ., Italy

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1204

Lastpage

1207

Abstract

Charge iteration is an FEM procedure, devised by the authors for the computation of electrical fields in open boundary domains. In the procedure, a closed fictitious boundary is introduced enclosing all the conductors. On this boundary the electrical potential is first guessed and then iteratively improved according to the current solution by means of the free-space Green´s function until convergence takes place. In this paper the procedure is generalized by allowing not only Dirichlet conditions, but also Neumann and Robin ones to he imposed on the fictitious boundary. Some reduction in computational effort comes from this generalization as pointed out by theoretical and numerical examples

Keywords

Green´s function methods; convergence of numerical methods; electric charge; electric fields; electric potential; finite element analysis; iterative methods; Dirichlet conditions; FEM procedure; Neumann and Robin conditions; charge iteration procedure; closed fictitious boundary; computational effort reduction; conductor; convergence; electrical fields; electrical potential; free-space Green´s function; open boundary domains; Conductors; Dielectrics; Electric potential; Electromagnetic fields; Finite element methods; Green´s function methods; Iterative methods; Nonuniform electric fields; Standards development; Voltage;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582469

Filename

582469