Derivation of various dual formulations in magnetostatics via error based energy approach

IEEE Transactions on Magnetics

Volumn 35, Issue 3 PART 1, 1999, Pages 1167-1170

  Ren, Z ^a   Ida, N ^b  

^a UNIV PARIS SUD   (France)

^b The University of Akron   (United States)

Author keywords

Dual formulations; Finite element modeling; Magnetostatics; Whitney elements

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; ERROR ANALYSIS; FINITE ELEMENT METHOD; MAGNETIC FLUX; MAXWELL EQUATIONS;

CONVENTIONAL DUAL FORMULATIONS; WHITNEY ELEMENTS;

MAGNETOSTATICS;

EID: 0033121839     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.767156     Document Type: Article

References (10)

1. A. Bossavit, 'A rationale for "edge element" in 3D field computations', IEEE Trans. Mag., vol.24, No 1, 1988, pp.74-79
2. P. Alotto, F. Delfino, P. Molfino, M. Nervi and I. Perugia, 'A mixed face-edge finite element formulation for 3D magnetostatic problems', Compumag-97, Rio de Janeiro, 1997
3. P. Dular, J.-F. Remade, F. Henrotte, A. Genon and W. Legros, 'Magnetostatic and magnetodynamic mixed formulations compared with conventional formulations', IEEE Trans. Mag., vol.33, No.2, 1997, pp. 1302-1305
4. J. Rikabi, C. F. Bryant and E. F. Freeman, 'Error based derivation of complementary formulations for eddy current problems', IEE Proc. A, 135(4), 1988, pp.208-216
5. A. Bossavit, 'Whitney forms: a class of finite elements for three dimensional computations in electromagnetism', IEE Proc.A, vol.135, (8), 1988, pp.493-500
6. Z. Ren, 'Influence of the R.H.S. on the convergence behaviour of the curl-curl equation', IEEE Trans. Mag., vol.32, No.3, 1996, pp. 655-658
7. 3', IEEE Trans. Mag., vol.34, No.5, 1998, pp. 2473-2476
8. R. Albanese and G. Rubinacci, 'Magnetostatic field computations in terms of two component vector potentials', Int. J. for Num. Meth. in Engineering, vol.29, 1990, pp.515-532
9. Z. Ren and A. Razek, 'Boundary edges elements and spanning tree technique in 3-D electromagnetic field computation', Int. J. for Num. Meth. in Engineering, vol.36, 1993, pp.2877-2893
10. L. Kettunen, K. Forsman and A. Bossavit, 'Discrete spaces for div and curl-free fields', Compumag'97, Rio de Janeiro, November, 1997