Improvised Asymptotic Boundary Conditions for Electrostatic Finite Elements

Author

Meeker, David C.

Author_Institution

QinetiQ North America, Waltham, MA, USA

Volume

50

Issue

6

fYear

2014

fDate

Jun-14

Firstpage

1

Lastpage

9

Abstract

Improvised asymptotic boundary conditions are a sparse but approximate method of solving open boundary problems. Since this method approximates unbounded space as series of isotropic shells, it can be readily implemented in virtually any finite element solver without the need for additional code. A previous paper addressed application of this technique to magnetic problems described with a vector potential formulation. This paper extends the method to electrostatics and related scalar potential formulations.

Keywords

approximation theory; electrostatics; finite element analysis; approximate method; electrostatic finite elements; finite element solver; improvised asymptotic boundary conditions; isotropic shells; magnetic problems; open boundary problems; scalar potential formulations; unbounded space; vector potential formulation; Boundary conditions; Electric potential; Electrostatics; Equations; Harmonic analysis; Permittivity; Vectors; Electrostatics; finite-element methods; open boundary problems; scalar potential;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2014.2300196

Filename

6714455