Magnetostatic and magnetodynamic mixed formulations compared with conventional formulations

IEEE Transactions on Magnetics

Volumn 33, Issue 2 PART 2, 1997, Pages 1302-1305

  Dular, P ^a,b   Remacle, J F ^a   Henrotte, F ^a   Genon, A ^a   Legros, W ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

^b FUND FOR SCIENTIFIC RESEARCH   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CURRENT DENSITY; EDDY CURRENTS; ELECTRIC CONDUCTIVITY OF SOLIDS; ELECTRIC FIELDS; FINITE ELEMENT METHOD; MAGNETIC FIELDS; MAGNETIC PERMEABILITY; MAGNETOSTATICS; VECTORS;

MAGNETIC FLUX DENSITY; MAGNETODYNAMICS; MIXED FINITE ELEMENTS;

ELECTROMAGNETISM;

EID: 0031102238     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.582494     Document Type: Article

References (14)

1. F. Brezzi, "A survey of mixed finite element methods", D.L. Dwoyer et al. eds., Finite Elements, Theory and Application, Springer-Verlag, pp. 34-49, 1988.
2. J.-C. Nedelec, Notions sur les techniques d'éléments finis, Mathématiques & Applications, Ellipses, 1991.
3. A. Bossavit, "A rationale for edge-elements in 3-D fields computations", IEEE Trans. Magn., vol. 24, no. 1, pp. 74-79, Jan.1988.
4. P. Dular, A. Nicolet, A. Genon, W. Legros, "Mixed finite elements associated with a collection of tetrahedra, hexahedra and prisms", IEEE Trans. Magn., vol. 30, no. 5, pp. 2980-2983, September 1994.
5. A. Bossavit, "Whitney forms : a class of finite elements for three dimensional computations in electromagnetism", IEE Proceedings, vol. 135, pt. A, no. 8, pp. 493-500, Nov. 1988.
6. A. Bossavit, "Mixed finite elements and the complex of Whitney forms", in The Mathematics of finite elements and Applications VI, J.R. Whiteman ed., Acad. Press, London, 1988, pp. 137-144.
7. A. Bossavit, "Two dual formulations of the 3D eddy currents problem", COMPEL, no. 4, pp. 103-116, 1984.
8. Bossavit A., "Magnetostatic problems in multiply connected regions: some properties of the curl operator", IEE Proceedings, vol. 135, Pt. A, no. 3, pp. 179-187, 1988.
9. R. Albanese, G. Rubinacci, "Magnetostatic field computation in terms of two-component vector potentials", International Journal for Numerical Methods in Engineering, vol. 29, pp. 515-532, 1990.
10. T. Nakata, N. Takahashi, K. Fujiwara, Y. Okada, "Improvements of the T-S2 method for 3-D eddy current analysis", IEEE Trans. Magn., vol. 24, no. 1, pp. 94-97, Jan. 1988.
11. W. Renhart, H. Stögner, K.Preis, "Calculation of 3D eddy current problems by finite element method using either an electric or magnetic vector potential", IEEE Trans. Magn., vol. 24, no. 1, pp. 122-125, Jan. 1988.
12. O. Biro, K. Preis, "Finite element analysis of 3D eddy currents", IEEE Trans. Magn., vol. 26, no. 2, pp. 418-423, March 1990.
13. P. Dular, A. Nicolet, A. Genon, W. Legros, "A discrete sequence associated with mixed finite elements and its gauge condition for vector potentials", IEEE Trans. Magn., vol. 31, no. 3, pp. 1356-1359, May 1995.
14. A. Kameari, "Results for benchmark calculations of problem 4 (the FELIX brick)", COMPEL, vol. 7, no. 1, pp. 65-80, 1988.