Numerical stability of a discrete model in the dynamics of ferromagnetic bodies

Authors
Pistella, F Valente, V
Citation
F. Pistella et V. Valente, Numerical stability of a discrete model in the dynamics of ferromagnetic bodies, NUMER M P D, 15(5), 1999, pp. 544-557
Citations number
9
Categorie Soggetti
Engineering Mathematics
Journal title
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
0749159X → ACNP
Volume
15
Issue
5
Year of publication
1999
Pages
544 - 557
Database
ISI
SICI code
0749-159X(199909)15:5<544:NSOADM>2.0.ZU;2-O
Abstract
A discrete penalty method for the numerical study of the evolution equation s for soft and undeformed magnetoelastic solids is proposed. Some results c oncerning the stability and the boundedness of the numerical solution are e stablished, Since the aim of the article is also to show the numerical deve lopment of singularities (these are expected, due to the similarities with the evolution equations for liquid crystals), some numerical results on a s pecific test problem are reported and discussed. (C) 1999 John Wiley & Sons , Inc.