Asymptotic boundary conditions for the finite element modeling of axisymmetric electrical field problems

Author

Gratkowski, Stanislaw ; Todaka, Takashi ; Enokizono, Masato ; Sikora, Ryszard

Author_Institution

Tech. Univ. Szczecin, Poland

Volume

36

Issue

4

fYear

2000

fDate

7/1/2000 12:00:00 AM

Firstpage

717

Lastpage

721

Abstract

In this work, the general form of the solution to Laplace´s equation is used to derive two formulations of asymptotic boundary conditions (ABC´s) suitable for the finite element modeling of axisymmetric electrical field problems with open boundaries. The first formulation works for an arbitrary shape of the finite element region. However, it produces nonsymmetrical matrices. The second formulation works for rectangular outer boundaries and produces symmetric matrices. Both the formulations produce closed-form expressions for the elemental boundary matrices. A simple problem of electrostatic potential is solved as an example

Keywords

Laplace equations; electric fields; finite element analysis; Laplace equation; asymptotic boundary conditions; axisymmetric electric field; electrostatic potential; finite element model; open boundary problem; Boundary conditions; Closed-form solution; Conductors; Dielectrics; Electrostatic analysis; Finite element methods; H infinity control; Laplace equations; Shape; Symmetric matrices;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.877549

Filename

877549