Numerical stability of a discrete model in the dynamics of ferromagnetic bodies
Francesca Pistella, V. Valente · Numerical Methods for Partial Differential Equations · 1999
A discrete penalty method for the numerical study of the evolution equations for soft and undeformed magnetoelastic solids is proposed. Some results concerning the stability and the boundedness of the numerical solution are established. Since the aim of the article is also to show the numerical development of singularities (these are expected, due to the similarities with the evolution equations for liquid crystals), some numerical results on a specific test problem are reported and discussed. © 1999 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 15: 544–557, 1999