On the use of the magnetic vector potential in the nodal and edge finite element analysis of 3D magnetostatic problems

IEEE Transactions on Magnetics

Volumn 32, Issue 3 PART 2, 1996, Pages 651-654

  Biro, Oszkär ^a   Preis, Kurt ^a   Richter, Kurt R ^a  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; CURRENT DENSITY; FINITE ELEMENT METHOD; INTERPOLATION; MAGNETIC FIELD EFFECTS; MAGNETOSTATICS; PHASE INTERFACES; THREE DIMENSIONAL; VECTORS;

MAGNETIC VECTOR POTENTIAL;

MAGNETIC FIELDS;

EID: 0030148179     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.497322     Document Type: Article

References (16)

1. N. A. Demerdash, T. W. Nehl and F. A. Fouad, "Finite element formulation and analysis of three dimensional magnetic field problems," IEEE Trans. Magn. , vol. 16, pp. 1092-1094, Sept. 1980.
2. 0. A. Mohammed, W. A. Davies, B. D. Popovic, T. W. Nehl and N. A. Demerdash, "On the uniqueness of solution of magnetostatic vector potential problems by three-dimensional finite-element methods," Journal of Applied Physics, vol. 53, pp. 8402-8404, 1982.
3. K. Preis, I. Bardi, O. Biro, C. Magele, W. Renhart, K. R. Richter and G Vrisk, "Numerical analysis of 3D magnetostatic fields," IEEE Trans Magn. , vol. 27, pp. 3798-38031, Sept. 1991.
4. J-L. Coulomb, "Finite element three dimensional magnetic fiel computation," IEEE Trans. Magn. , vol. 17, pp. 3241-3246, Nov. 1981.
5. O. Biro and K. Preis, "On the use of the magnetic vector potential i the finite element analysis of 3-D eddy currents," IEEE Trans, Magn. vol. 25,pp. 3145-3159,July 1989.
6. O. Biro, "Solution of TEAM benchmark problem #10 (Steel plate around a coil)," ACES Journal, vol. 8, No. 2, pp. 203-215, 1993.
7. A. Kameari. "Calculation of transient 3D eddy current using edg elements," IEEE Trans. Mag. , vol. 26, pp. 466-469, March 1990.
8. A Bossavit, "Solving Maxwell equations in a closed cavity and th question of 'spurious modes'," IEEE Trans. Magn. , vol. 26, pp. 702 705, March 1990.
9. R. Albanese and G. Rubinacci, "Solution of three dimensional edd current problems by integral and differential methods," IEEE Trans Magn. , vol. 24, pp. 98-101, Jan. 1988.
10. J. B. Menges and Z. J. Cendes, "A generalized tree-cotree gauge fo magnetic field computation. " IEEE Trans. Magn. , vol. 31, pp. 1342 1347, May. 1995.
11. A. Kameari, "Study on 3D eddy current analysis using FEM," 4l International IGTE Symposium and European TEAM Workshop, Graz Austria, 10-12 October 1990, pp. 91-99.
12. M. L. Barton and Z. J. Cendes, "New vector finite elements for threedimensional magnetic field computation,", J. Appl. Phys. , vol. 61, pp 3919-3921, 1987.
13. K. Preis, I. Bardi, O. Biro, C. Magele, G. Vrisk and K. R. Richter "Different finite element formulations of 3D magnetostatic fields," IEEE Trans. Magn. , vol. 28, pp. 1056-1059, March 1992.
14. O. Biro, K. Preis, G. Vrisk, K. R. Richter and I. Ticar, "Computation o 3D magnetostatic fields using a reduced scalar potential," IEEE Trans Magn. , vol. MAG-29, pp. 1329-1332, March 1993.
15. Z. Ren, "Numerical experiences on non-gauged vector potentia formulations," in A. Bossavit, P. Chaussecourte (ed. ) Proceedings o the TEAM Workshop in Aix-les-Bains, July 7-8, 1994, pp. 67-70.
16. T. Nakata, N. Takahashi, K. Fujiwara and T. Imai, "Effects o permeability of magnetic materials on errors of the 1-Q. method," IEE Trans. Magn. , vol. 26, pp. 698-701, March 1990.