Error estimates for a numerical scheme for ferromagnetic problems

SIAM Journal on Numerical Analysis

Volumn 36, Issue 3, 1999, Pages 696-718

  Monk, P B ^a   Vacus, O ^b  

^a UNIVERSITY OF DELAWARE   (United States)

^b INRIA   (France)

Author keywords

Error estimates; Ferromagnetism; Finite elements

Indexed keywords

EID: 0004378032     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142997324228     Document Type: Article

References (21)

1. W. BROWN, Micromagnetics, Tracts of Physics, Wiley Interscience, New York, 1963; reprinted by Krieger, Melbourne, FL, 1979.
2. P. CIARLET, The Finite Element Method for Elliptic Problems, Stud. Math. Appl. 4, Elsevier-North Holland, Amsterdam, 1978.
3. N. DIB AND L. KATEHI, Dispersion analysis of multilayer planar lines containing ferrite regions using an extended 2D-FDTD method, in Proceedings IEEE Antennas and Propagation Internat. Symp., IEEE Computer Society Press, Piscataway, NJ, 1993, pp. 842-844.
4. F. DUBOIS, Discrete vector potential representation of a divergence-free vector field in three-dimensional domains: Numerical analysis of a model problem, SIAM J. Numer. Anal., 27 (1990), pp. 1103-1141.
5. P. JOLY AND O. VACUS, Mathematical and Numerical Studies of 1D Non Linear Ferromagnetic Materials, Tech. Report RR-3024, INRIA, Le Chesnay Cedex, France, 1996.
6. P. JOLY AND O. VACUS, Mathematical and numerical studies of non linear ferromagnetic materials, in Proceedings, Second ECCOMAS Conf. on Numerical Methods in Engineering, Paris, 1996, pp. 325-331.
7. P. JOLY AND O. VACUS, Maxwell's Equations in a 1D Ferromagnetic Medium: Existence and Uniqueness of Strong Solutions, Tech. Report RR-3052, INRIA, Le Chesnay Cedex, France, 1996.
8. B. LAX AND K. BUTTON, Microwave Ferrites and Ferromagnetics, McGraw-Hill, New York, 1962.
9. J. LEE AND R. MITTRA, Analysis of microwave ferrite devices by using the finite element method, J. Appl. Phys., 69 (1991), pp. 5032-5034.
10. T. MONEDIERE, M. LATRACH, AND F. JECKO, Resonant modes and magnetic losses in a ferrite coaxial resonator, J. Electromagnet. Waves Appl., 6 (1992), pp. 199-217.
11. P. MONK, An analysis of Nédélec's method for the spatial discretization of Maxwell's equations, J. Comput. Appl. Math., 47 (1993), pp. 101-121.
12. P. MONK AND A. PARROTT, Analysis of Finite Element Time Domain Methods in Electromagnetic Scattering, Numerical Analysis Report 96/25, Oxford University Computing Lab. Oxford, UK, 1996,
13. G. MUR AND A. DE HOOP, A finite-element method for computing three-dimensional electromagnetic fields in inhomogeneous media, IEEE Trans. Magnetics, MAG-21 (1985), pp. 2188-2191.
14. 3, Numer. Math., 35 (1980), pp. 315-341.
15. 3, Numer. Math., 50 (1986), pp. 57-81.
16. J. PEREDA, L. VIELVA, M. SOLANO, A. VEGA, AND A. PRIETO, FDTD analysis of magnetized ferntes: Application to the calculation of dispersion characteristics of ferrite-loaded wave-guides, IEEE Trans. Microwave Theory Techniques, 43 (1995), pp. 350-356.
17. J. PEREDA, L. VIELVA, A. VEGAS, AND A. PRIETO, A treatment of magnetized ferrites using the FDTD method, IEEE Microwave Guided Wave Lett., 3 (1993), pp. 136-138.
18. A. REINEX, T. MONEDIERE, AND F. JECKO, Ferrite analysis using the finite-difference time domain method, IEEE Microwave Optical Technol. Lett., 5 (1992), pp. 685-686.
19. R. SILVESTER AND R. FERRARI, Finite Element Methods for Electrical Engineers, Cambridge University Press, Cambridge, UK, 1996.
20. A. VISINTIN, On Landau-Lifchitz' equations for ferromagnetism, Japan J. Appl. Math., 2 (1985), pp. 69-84.
21. G. ZHENG AND K. CHEN, Nonlinear study of microstrip lines containing ferrite dielectric layers, Internat J. Infrared Millimeter Waves, 13 (1992), pp. 1115-1125.