Efficient integral equation method for the solution of 3-D magnetostatic problems

IEEE Transactions on Magnetics

Volumn 41, Issue 5, 2005, Pages 1408-1411

  Hafla, Wolfgang ^a   Buchau, André ^a   Groh, Friedemann ^a   Rucker, Wolfgang M ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Equivalent magnetic charges; Fast multipole methods; Integral equation methods; Nonlinear magnetostatics

Indexed keywords

COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MATRIX ALGEBRA; NONLINEAR SYSTEMS; PROBLEM SOLVING;

EQUIVALENT MAGNETIC CHARGES; FAST MULTIPOLE METHODS; INTEGRAL EQUATION METHODS; NONLINEAR MAGNETOSTATICS;

MAGNETOSTATICS;

EID: 22044436228     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2005.844342     Document Type: Article

References (17)

1. S. Babic, C. Akyel, and M. Gavrilovic, "Calculation improvement of third-linear magnetostatic field based on fictious magnetic surface charge," IEEE Trans. Magn., vol. 36, no. 5, pp. 3125-3127, Sep. 2000.
2. D. Kim, I. Park, M. Park, and H. Lee, ''3-D magnetostatic field calculation by a single layer boundary integral equation method using a difference field concept," IEEE Trans. Magn., vol. 36, no. 5, pp. 3134-3136, Sep. 2000.
3. W. Hafla, F. Groh, A. Buchau, and W. M. Rucker, "Magnetostatic field computations by a integral equation method using a difference field concept and the fast multipole method," in Proc. 10th IGTE Symp. Numerical Field Calculation in Electrical Engineering, 2002, pp. 262-266.
4. L. Greengard and V. Rokhlin, The Rapid Evaluation of Potential Fields in Three Dimensions, ser. Lecture Notes in Mathematics 1360, C. Anderson and C. Greengard, Eds. Berlin, Germany: Springer-Verlag, 1987, pp. 121-141.
5. A. Buchau, W. Hafla, and W. M. Rucker, "Fast and efficient 3-D boundary element method for closed domains," in Proc. Symp. Reports 6th Int. Symp. Electric and Magnetic Fields, Aachen, Germany, 2003, pp. 211-214.
6. A. Buchau, W. M. Rucker, O. Rain, V. Rischmüller, S. Kurz, and S. Rjasanow, "Comparison between different approaches for fast and efficient 3-D BEM computations," IEEE Trans. Magn., vol. 39, no. 3, pp. 1107-1110, Jun. 2003.
7. S. Peaiyoung and S. J. Salon, "Some technical aspects of implementing boundary element equations," IEEE Trans. Magn., vol. 25, no. 4, pp. 2998-3000, Jul. 1989.
8. F. Groh, W. Hafla, A. Buchau, and W. M. Rucker, "Field strength computation at edges in nonlinear magnetostatics," in Conf. Proc. XI Int. Symp. Electromagnetic Fields in Electrical Engineering, 2003, pp. 243-246.
9. J. H. McWhirter, J. J. Oravec, and R. W. Haak, "Computation of magnetostatic fields in three-dimensions based on Fredholm integral equations," IEEE Trans. Magn., vol. MAG-18, no. 2, pp. 1088-1091, Mar. 1982.
10. D. A. Lindholm, "Notes on boundary integral equations for three-dimensional magnetostatics," IEEE Trans. Magn., vol. MAG-16, no. 6, pp. 1409-1412, Nov. 1980.
11. B. Krstajić, Z. Andelić, S. Milojković, and S. Babiæ, "Non-linear 3-D magnetostatic field calculation by the integral equation method with surface and volume magnetic charges," IEEE Trans. Magn., vol. 28, no. 2, pp. 1088-1091, Mar. 1992.
12. C. Magele, H. Stögner, and K. Preis, "Comparison of different finite element formulations for 3-D magnetostatic problems," IEEE Trans. Magn., vol. 24, no. 1, pp. 31-34, Jan. 1988.
13. I. D. Mayergoyz, M. V. K. Chari, and J. D'Angelo, "A new scalar potential formulation for three-dimensional magnetostatic problems," IEEE Trans. Magn., vol. MAG-23, no. 6, pp. 3889-3894, Nov. 1987.
14. A. Buchau, W. Hafla, F. Groh, and W. M. Rucker, "Grouping schemes and meshing strategies for the fast multipole method," in COMPEL, vol. 22, 2003, pp. 495-507.
15. T. Nakata, N. Takahashi, K. Fujiwara, P. Olszewski, K. Muramatsu, T. Imai, and Y. Shiraki, "Numerical analysis and experiments of 3-D nonlinear magnetostatic model," in Proc. Int. Symp. TEAM Workshop, Supplement A, Okayama, Japan, 1990, pp. 308-310.
16. S. Kurz, J. Fetzer, and G. Lehner, "A novel iterative algorithm for the nonlinear BEM-FEM coupling method," IEEE Trans. Magn., vol. 33, no. 2, pp. 1772-1775, Mar. 1997.
17. T. Eimüller, "Magnetic imaging of nanostructured systems with transmission X-Ray microscopy," Ph.D. dissertation, Universität Würzburg, Würzburg, Germany.