An incomplete gauge formulation for 3D nodal finite-element magnetostatics

Author

Mesquita, Renato Cardoso ; Bastos, João Pedro Assumpcao

Author_Institution

Dept. de Engenharia Eletrica, Univ. Federal de Minas Gerais, Belo Horizonte, Brazil

Volume

28

Issue

2

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

1044

Lastpage

1047

Abstract

A method for imposing the gauge condition on the 3-D magnetic vector potential magnetostatic field computation using nodal finite elements is presented. In this method, the gauge A.w=0 is applied in the part of the problem that is not situated in the neighborhood of the materials interfaces that are tangential to w . This results in a formulation which maintains the discontinuous properties of the magnetic induction tangential components, reduces the number of unknowns, and improves the system matrix conditioning. The proposed formulation is compared with the Coulomb-gauge and ungauged formulations, showing that it results in better precision and worse conditioning than the Coulomb-gauge and has the same precision with a better conditioning than the ungauged formulation

Keywords

finite element analysis; magnetic fields; numerical methods; 3D nodal finite-element magnetostatics; Coulomb gauge formulation; Maxwell field equations; gauge condition; incomplete gauge formulation; magnetic induction tangential components; magnetic vector potential magnetostatic field; materials interfaces; system matrix conditioning; ungauged formulation; Boundary conditions; Finite element methods; Magnetic flux; Magnetic materials; Magnetic properties; Magnetostatics; Maxwell equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.123860

Filename

123860