A novel field-based mixed formulation of magnetostatics

Author

Brezzi, F. ; Marini, L.D. ; Perugia, I. ; Di Barba, P. ; Savini, A.

Author_Institution

Dipartimento di Matematica, Pavia Univ., Italy

Volume

32

Issue

3

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

635

Lastpage

638

Abstract

A mixed variational formulation in 2-D magnetostatics is presented and discussed. The method treats B and H as direct unknowns and relies on the minimization of the error on the constitutive law, taking Maxwell´s equations as constraints. The numerical discretization, based on the lowest order Raviart-Thomas-Nedelec element, is reported. The potential advantages of this innovative method for engineering applications-like the fulfilment of continuity equations-are pointed out and a case study is presented. A computer code has been implemented and a number of numerical experiments have been performed to validate the proposed methodology

Keywords

Maxwell equations; electrical engineering; electrical engineering computing; finite element analysis; magnetostatics; variational techniques; 2D magnetostatics; Maxwell´s equations; approximation method; computer code; continuity equations; engineering applications; error minimization; field based mixed formulation; finite element method; lowest order Raviart-Thomas-Nedelec element; magnetostatics; mixed variational formulation; numerical discretization; numerical experiments; Application software; Boundary conditions; Computer errors; Error correction; Finite element methods; Magnetic analysis; Magnetic fields; Magnetostatics; Maxwell equations; Minimization methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.497318

Filename

497318