Zeitschriftenartikel:
C. Carstensen, D. Praetorius:
"Stabilization yields strong convergence of macroscopic magnetization vectors for micromagnetics without exchange energy";
Journal of Numerical Mathematics,
20
(2012),
2;
S. 81
- 109.
Kurzfassung englisch:
The convexified Landau-Lifshitz minimization problem in micromagnetics leads
to a degenerate variational problem. Therefore strong convergence of finite
element approximations cannot be expected in general.
This paper introduces a stabilized finite element discretization which allows
for the strong convergence of the discrete magnetization fields with reduced
convergence order for a uniaxial model problem. This yields a convergent
method for the approximation of the Young measure describing the
microstructure for the generalized solution of the non-relaxed Landau-Lifshitz
problem.
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1515/jnum-2012-0004
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.