Minimum-order regular boundary integral equations for three-dimensional eddy-current problem

IEEE Transactions on Magnetics

Volumn 38, Issue 5 II, 2002, Pages 3433-3438

  Homentcovschi, Dorel ^a,b  

^a ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

^b BINGHAMTON UNIVERSITY   (United States)

Author keywords

Boundary element methods; Eddy currents; Fredholm integral equations

Indexed keywords

BOUNDARY ELEMENT METHOD; ELECTROMAGNETIC FIELDS; INTEGRAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING; VECTORS;

SCALAR EQUATIONS;

EDDY CURRENTS;

EID: 0036756956     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2002.802947     Document Type: Article

References (18)

1. C. Müller, Foundations of the Mathematical Theory of Electromagnetic Waves. Berlin, Germany: Springer-Verlag, 1969.
2. W.R. Hodgkins and J.F. Waddington, "The solution of three-dimensional induction heating problems using an integral equation method," IEEE Trans. Magn., vol. MAG-18, pp. 476-480, 1982.
3. H. Tsuboi and T. Misaki, "Three dimensional analysis of eddy current distributions by the boundary element method," IEEE Trans. Magn., vol. MAG-23, pp. 3044-3046, Sept. 1987.
4. K. Ishibashi, "A least residual approach for 3-D eddy current analysis by BEM," IEEE Trans. Magn., vol. 29, pp. 1512-1515, Mar. 1993.
5. T. Morisue, "A new formulation of the magnetic vector potential method in 3-d multiply connect regions," IEEE Trans. Magn., vol. 24, pp. 110-113, Jan. 1988.
6. M. Rucker and K.R. Richter, "A BEM code for 3-D eddy current calculations," IEEE Trans. Magn., vol. 26, pp. 462-465, Mar. 1990.
7. D. Zheng, "Three-dimensional eddy current analysis by the BEM," IEEE Trans. Magn., vol. 33, pp. 1354-1357, Mar. 1997.
8. O.V. Tozoni and I.D. Mayergoyz, Analysys of 3-Dimensional Electromagnetic Fields (in Russian). Kiev, U.S.S.R.: Technika, 1974.
9. I.D. Mayergoyz, "Boundary integral equations of minimum order for the calculation of three-dimensional eddy current problems," IEEE Trans. Magn., vol. MAG-18, pp. 536-539, 1982.
10. _, "3-D eddy current problems and the boundary integral equation method," in Computational Electromagnetics, Z.J. Cendes, Ed. Amsterdam, The Netherlands: Elsevier, 1986, pp. 163-171.
11. _, Nonlinear Diffusion of Electromagnetic Fields. San Diego, CA: Academic, 1998.
12. S. Kalaichelvan and J.D. Lavers, "Singularity evaluation in boundary integral equations of minimum order for 3-D eddy currents," IEEE Trans. Magn., vol. MAG-23, pp. 3053-3055, Sept. 1987.
13. _, "Boundary element methods for eddy current problems," in Topics in Boundary Element Research, C.A. Brebbia, Ed. Berlin, Germany: Springer-Verlag, 1989, vol. 6, Electromagnetic Applications, pp. 79-116.
14. J. Yuan and A. Kost, "A three-component boundary element algorithm for 3-D eddy current calculation," IEEE Trans. Magn., vol. 30, pp. 3028-3031, Sept. 1994.
15. J. Yuan, X. Ma, and X. Cui, "Three dimensional eddy current calculation by an adaptive three-component boundary element algorithm," IEEE Trans. Magn., vol. 33, pp. 1275-1278, Mar. 1997.
16. D. Homentcovschi and T. Singler, "An introduction to BEM by integral transforms," Eng. Anal. Boundary Elements, vol. 23, pp. 603-609, 1999.
17. A.M. Lyapunov, "Some questions related to the Dirichlet problem" (in Russian), in Work on Potential Theory Moscow, U.S.S.R., 1949, pp. 70-138.
18. V.I. Smirnov, Lehrgang der Hoheren Matematik. Berlin, Germany: VEB Deutscher Verlag der Wissenschaften, 1958, vol. IV.