A theoretical study of charge iteration

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

Volumn 15, Issue 3, 1996, Pages 22-43

  Aiello, G ^a   Alfonzetti, S ^a   Coco, S ^a   Salerno, N ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CHARGE; ELECTRICITY; FINITE ELEMENT METHOD; ITERATIVE METHODS; MATHEMATICAL MODELS; BOUNDARY CONDITIONS; CALCULATIONS; ELECTRIC CONDUCTORS; ELECTRIC FIELD EFFECTS; ELECTRIC POTENTIAL; ELECTROMAGNETIC FIELDS; GREEN'S FUNCTION; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING;

CHARGE ITERATION; FICTITIOUS BOUNDARY; CO-ORDINATE TRANSFORMATIONS; CONDUCTOR SYSTEMS; CONVERGENCE;

SEMICONDUCTOR DEVICES; ELECTRIC CHARGE;

EID: 0030388468     PISSN: 03321649     EISSN: None     Source Type: Journal    
DOI: 10.1108/03321649610130218     Document Type: Article

References (25)

1. Bettess, P., "Finite element modelling of exterior electro-magnetic problems", IEEE Transactions on Magnetics, Vol. 24 No. 1, 1988, pp. 238-43.
2. Emson, C.R.I., "Methods for the solution of open-boundary electromagnetic-field problems", Proceedings IEE, Vol. 135, Part A No. 3, March 1988, pp. 151-8.
3. Silvester, P.P., Lowther, D.A., Carpenter, C.J. and Wyatt, E.A., "Exterior finite elements for 2-dimensional field problems with open boundaries", Proceedings IEE, Vol. 124 No. 12, December 1977, pp. 1267-79.
4. Bettess, P., "Infinite elements", International Journal for Numerical Methods in Engineering, Vol. 11, 1977, pp. 53-64.
5. Chen, Q., Konrad, A. and Biringer, P.P., "Computation of three-dimensional unbounded eddy current problems using asymptotic boundary conditions", IEEE Transactions on Magnetics, Vol. 31 No. 3, May 1995, pp. 1348-51.
6. Zienkiewicz, O.C., Kelly, D.W. and Bettess, P., "The coupling of the finite element method and boundary solution procedures", International Journal for Numerical Methods in Engineering, Vol. 11, 1977, pp. 355-75.
7. McDonald, B. and Wexler, A., "Mutually constrained partial differential and integral equation field formulations", in Chari, M. and Silvester, P. (Eds), Finite Elements in Electrical and Magnetic Field Problems, J. Wiley & Sons, New York, NY, 1980.
8. Salon, S.J. and D'Angelo, J., "Applications of the hybrid finite element - boundary element method in electromagnetics", IEEE Transactions on Magnetics, Vol. 24 No. 1, January 1988, pp. 80-85.
9. Lowther, D.A., Freeman, E.M. and Forghani, B., "A sparse matrix open boundary method for finite element analysis", IEEE Transactions on Magnetics, Vol. 25 No. 4, July 1989, pp. 2810-12.
10. Imhoff, J.F., Meunier, G. and Sabonnadière, J.C., "Finite element modelling of open boundary problems", IEEE Transactions on Magnetics, Vol. 26 No. 2, March 1990, pp. 588-91.
11. Aiello, G., Alfonzetti, S. and Coco, S., "Charge iteration: a procedure for the finite-element computation of unbounded electrical fields", International Journal for Numerical Methods in Engineering, Vol. 37 No. 24, December 1994, pp. 4147-66.
12. Aiello, G., Alfonzetti, S. and Coco, S., "Charge iteration for n-dimensional unbounded electrical field computations", IEEE Transactions on Magnetics, Vol. 28 No. 2, March 1992, pp. 1682-5.
13. Aiello, G., Alfonzetti, S., Coco, S. and Salerno, N., "Axisymmetric unbounded electrical field computation by charge iteration", IEEE Transactions on Magnetics, Vol. 29 No. 2, March 1993, pp. 2043-6.
14. Aiello, G., Alfonzetti, S., Coco, S. and Salerno, N., "Convergence analysis of the charge iteration procedure for unbounded electrical fields", IEEE Transactions on Magnetics, Vol. 30 No. 5, September 1994, pp. 2873-6.
15. Aiello, G., Alfonzetti, S., Coco, S. and Salerno, N., "Placement of the fictitious boundary in the charge iteration procedure for unbounded electrical field problems", IEEE Transactions on Magnetics, Vol. 31 No. 3, May 1995, pp. 1392-5.
16. Aiello, G., Alfonzetti, S., Coco, S. and Salerno, N., "Overrelaxing the charge iteration procedure", IEEE Transactions on Magnetics, Vol. 32 No. 3, May 1996, pp. 1273-6.
17. Aiello, G., Alfonzetti, S., Coco, S. and Salerno, N., "Current iteration for unbounded skin effect problems", COMPEL, Vol. 13, Supplement A, May 1995, pp. 299-304.
18. Aiello, G., Alfoazetti, S., Coco, S. and Salerno, N., "Finite element iterative solution of skin effect problems in open boundaries", International Journal of Numerical Modelling Electronic Networks, Devices and Fields, special issue on computational magnetics, Vol. 9 Nos. 1-2, January-April 1966, pp. 125-43.
19. Hochstadt, H., Integral Equations, J. Wiley & Sons, New York, NY, 1973.
20. Morse, P.M. and Feshback, H., Methods of Theoretical Physics, McGraw-Hill, New York, NY, 1953.
21. Jackson, J.D., Classical Electrodynamics, J. Wiley & Sons, New York, NY, 1975.
22. Bramble, J.H. and Payne, L.E., "Bounds for the first derivatives of Green's function", Atti della Accademia dei Lincei, Rendiconti, Classe di Scienze fisiche matematiche e naturali, Vol. XLII, May 1967, pp. 604-10.
23. Courant, R. and Hilbert, D., Methods of Mathematical Physics, Interscience Publishers, New York, NY, 1953.
24. Alfonzetti, S. and Coco, S., "ELFIN: an n-dimensional finite-element code for the computation of electromagnetic fields", IEEE Transactions on Magnetics, Vol. 24 No. 1, January 1988, pp. 362-5.
25. Aiello, G., Alfonzetti, S., Coco, S. and Salerno, N., "An FEM code for electrical engineering research: ELFIN", ELECTROSOFT'96, San Miniato, Italy, 28-30 May 1996.