A numerical study of a nonlinear system arising in modeling of ferromagnets

Citation
Mm. Cerimele et al., A numerical study of a nonlinear system arising in modeling of ferromagnets, NONLIN ANAL, 47(5), 2001, pp. 3357-3367
Citations number
6
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
5
Year of publication
2001
Part
5
Pages
3357 - 3367
Database
ISI
SICI code
0362-546X(200108)47:5<3357:ANSOAN>2.0.ZU;2-F
Abstract
A discrete method for the numerical study of the evolution equations for so ft undeformed magnetoelastic solids subjected to magnetic actions is presen ted. A result concerning the numerical stability of the proposed semi-impli cit finite difference scheme is established. Numerical experiments on a spe cific test problem are carried out also to investigate on the phenomenon of the development of singularities in ferromagnets.