A mixed face-edge finite element formulation for 3D magnetostatic problems

Author

Alotto, P. ; Delfino, F. ; Molfino, P. ; Nervi, M. ; Perugia, I.

Author_Institution

Dipt. di Ingegneria Elettrica, Genoa Univ., Italy

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

2445

Lastpage

2448

Abstract

A mixed variational formulation for the solution of three dimensional magnetostatic problems, based on both the magnetic field H and the magnetic induction field B, has been developed. The approach is based upon the minimisation of the residual in the fulfilment of the constitutive relationship, imposing Maxwell´s equations as constraints. A finite element discretisation has been realised by using face and edge elements to interpolate B and H, respectively, in order to guarantee the physical continuity properties. The mathematical formulation, its code development and computational results are presented and discussed in detail

Keywords

Maxwell equations; finite element analysis; magnetic fields; magnetostatics; variational techniques; 3D magnetostatic problems; Maxwell´s equations; finite element discretisation; magnetic field; magnetic induction field; mixed face-edge finite element formulation; physical continuity properties; variational formulation; Boundary conditions; Differential equations; Finite element methods; Lagrangian functions; Magnetic analysis; Magnetic fields; Magnetostatics; Maxwell equations; Permeability; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717562

Filename

717562