Space discretization for the Landau-Lifshitz-Gilbert equation with magnetostriction

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 2-5 SPEC. ISS., 2005, Pages 467-477

  Baňas, L'ubomír ^a   Slodička, Marián ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Ferromagnetism; Finite elements; Magnetostriction

Indexed keywords

COMPUTATIONAL METHODS; ENERGY DISSIPATION; ERROR DETECTION; MAGNETIC FIELD EFFECTS; MAGNETIZATION; MATHEMATICAL MODELS; VECTORS;

LANDAU-LIFSHITZ-GILBERT (LLG) EQUATION; NONLINEAR DISSIPATIVE MAGNETIC LAW; SPACE DISCRETIZATION;

MAGNETOSTRICTION;

FINITE ELEMENT METHOD; MAGNETISM;

EID: 10444222623     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.06.021     Document Type: Article

References (15)

1. P. Weiss L'hypothèse du champ moléculaire et la proprièté ferromagnetique J. Phys. 6 1907 661-690
2. L. Landau E. Lifshitz On the theory of the dispersion of magnetic permeability in ferromagnetic bodies Phys. Z. Sowjetunion 8 1935 153-169
3. L. Landau E. Lifshitz. In: J.B. Sykes J.S. Bell (Eds.). Electrodynamics of Continuous Media 1960 Pergamon Press Oxford-London-New York-Paris 417 (Translated from the Russian)
4. G. Anzellotti S. Baldo A. Visintin Asymptotic behavior of the Landau-Lifshitz model of ferromagnetism Appl. Math. Opt. 23 3 1991 171-192
5. B. Guo S. Ding Neumann problem for the Landau-Lifshitz-Maxwell system in two dimensions Chinese Ann. Math., Ser. B 22 4 2001 529-540
6. B. Guo F. Su Global weak solution for the Landau-Lifshitz-Maxwell equation in three space dimensions J. Math. Anal. Appl. 211 1 1997 326-346
7. F. Su B. Guo The global smooth solution for Landau-Lifshitz-Maxwell equation without dissipation J. Partial Differ. Equations 11 3 1998 193-208
8. A. Visintin On Landau-Lifshitz' equations for ferromagnetism Jpn. J. Appl. Math. 2 1985 69-84
9. P. Monk O. Vacus Error estimates for a numerical scheme for ferromagnetic problems SIAM J. Numer. Anal. 36 3 1998 696-718
10. L. Vandevelde J. Melkebeek A survey of magnetic force distributions based on different magnetization models and on the virtual work principle IEEE Trans. Magn. 37 5 2001 3405-3409
11. L. Vandevelde J. Melkebeek Computation of deformation of ferromagnetic material IEEE Proc. Sci. Meas. Technol. 149 2002 5
12. M. Sablik D. Jiles Coupled magnetoelastic theory of magnetic and magnetostrictive hysteresis IEEE Trans. Magn. 29 3 1993 2113-2123
13. S. Brenner L. Scott The mathematical theory of finite element methods 1994 Springer-Veriag
14. M. Slodička, L. Baňas, A numerical scheme for a Maxwell-Landau-Lifshitz-Gilbert system, Appl. Math. Comput., in press
15. M. Slodička I. Cimrák Numerical study of nonlinear ferromagnetic materials Appl. Numer. Math. 46 1 2003 11-95