Simple recursive implementation of fast multipole method

Journal of Magnetism and Magnetic Materials

Volumn 322, Issue 2, 2010, Pages 275-281

  Visscher, P B ^a   Apalkov, D M ^a  

^a UNIVERSITY OF ALABAMA   (United States)

Author keywords

Fast multipole method; Magnetostatic field; Micromagnetic simulation

Indexed keywords

CARTESIAN COORDINATE; DIPOLE FIELDS; FAST MULTIPOLE; FAST MULTIPOLE METHOD; FFT (FAST FOURIER TRANSFORM); MAGNETOSTATIC FIELD; MICROMAGNETIC SIMULATION; MICROMAGNETIC SIMULATIONS; OPEN SOURCE IMPLEMENTATION; SOURCE CODES; SPHERICAL HARMONICS;

FAST FOURIER TRANSFORMS; HARMONIC ANALYSIS; HIERARCHICAL SYSTEMS; MAGNETIC LOGIC DEVICES; MAGNETIC RECORDING; RECURSIVE FUNCTIONS;

MAGNETOSTATICS;

EID: 70350510342     PISSN: 03048853     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmmm.2009.09.033     Document Type: Article

References (25)

1. Greengard L., and Rokhlin V. J. Comput. Phys. 73 (1987) 325-348
2. Cooley J.W., and Tukey J.W. Math. Comput. 19 (1965) 297
3. Visscher P.B. Comput. Phys. 10 (1996) 438-443
4. Seberino C., and Bertram H.N. IEEE Trans. Magn. 37 (2001) 1078
5. Shimada J., Kaneko H., and Takada T. J. Comput. Chem. 14 (1993) 867
6. Blue J., and Scheinfein M. IEEE Trans. Magn. 27 (1991) 4778
7. Yuan S., and Bertram H.N. IEEE Trans. Magn. 28 (1992) 2031
8. Gunal Y., and Visscher P.B. IEEE Trans. Magn. 32 (1996) 4049-4051
9. Brown G., Novotny M., and Rikvold P. Phys. Rev. B 64 (2001) 134422
10. Seberino C., and Bertram N. IEEE Trans. Magn. 37 (2001) 1078
11. Miles J.J., and Middleton B.K. J. Magn. Magn. Mater. 95 (1991) 9-108
12. Schmidt K.E., and Lee M.A. J. Stat. Phys. 63 (1991) 1223
13. Brown G., Schulthess T.C., Apalkov D.M., and Visscher P.B. IEEE Trans. Mag. 40 (2004) 2146-2148
14. Shimada J., Kaneko H., and Takada T. J. Comput. Chem. 15 (1994) 28-43
15. Chalacombe M., Schwegler E., and Almlof J. Chem. Phys. Lett. 241 (1995) 67-72
16. Apalkov D.M., and Visscher P.B. J. Appl. Phys. 93 (2003) 6808
17. Apalkov D.M., and Visscher P.B. IEEE Trans. Mag. 39 (2003) 3478-3480
18. 〈http://faculty.mint.ua.edu/∼visscher/paperlink.html〉 links to a simple set of C ++ classes that implement our algorithm, as well as a complete source code and installer for our simulator.
19. J.D. Jackson, Classical Electrodynamics, third ed., Wiley, 1999, p. 195.
20. Soohoo R.F. Magnetic Thin Films (1965), Harper & Row, New York
21. Newell A.J., Williams W., and Dunlop D.J. J. Geophys. Res. 98 (1993) 9951-9955
22. Fukushima H., Nakatani Y., and Hayashi N. IEEE Trans. Magn. 34 (1998) 193-198
23. W. Zhang, S. Haas, J. Magn. Magn. Mater. (2009), doi: 10.1016/j.jmmm.2009.07.016.
24. Standard Problem #2 is described at the web site 〈http://www.ctcms.nist.gov/∼rdm/mumag.org.html〉.
25. Streibl B., Schrefl T., and Fidler J. J. Appl. Phys. 85 (1999) 5819-5821